Data/misconception_mapping.csv

MisconceptionId,MisconceptionName
0,Does not know that angles in a triangle sum to 180 degrees
1,Uses dividing fractions method for multiplying fractions
2,Believes there are 100 degrees in a full turn
3,"Thinks a quadratic without a non variable term, can not be factorised"
4,Believes addition of terms and powers of terms are equivalent e.g. a + c = a^c
5,"When measuring a reflex angle, gives the acute or obtuse angle that sums to 360 instead"
6,Can identify the multiplier used to form an equivalent fraction but does not apply to the numerator
7,Believes gradient = change in y
8,Student thinks that any two angles along a straight line are equal
9,Thinks there are 180 degrees in a full turn
10,"Believes duration can be read from a timetable, rather than calculating from start and end times"
11,"When reading value from graph, reads from the wrong axes."
12,Thinks that the side view does not include the furthest rows back
13,"Does not subtract from the hours, when having to borrow for a time calculation"
14,Does not understand how to create a multiple of an equation
15,"Confuses the order of operations, believes addition comes before division"
16,Believes that graphs of inverse proportion meet the axes
17,Confuses AM and PM when calculating time
18,"Given the length of the sides, still does not recognise there is enough information to find the area"
19,"When multiplying a surd by an integer, adds the integer to the number under the surd"
20,Believes the number of wholes in a mixed number multiplies by the fraction part
21,Estimates shares of a ratio instead of calculating
22,Confuses the ten thousands and thousands place value columns
23,Does not understand the command word 'difference'
24,Does not understand the term multiple
25,Does not realise that when you multiply by 0 the answer will always be 0
26,Thinks x = ? or y = ? is y = x
27,Believes squaring a fraction requires you to double both parts
28,Thinks the interior angles of any polygon add up to 360
29,Forgot to simplify the fraction
30,"When asked for a number n times smaller or bigger, subtracts or adds n"
31,Does not understand bar modelling in algebra
32,"When squaring a variable, believes they also need to square the coefficient"
33,Uses more than 3 letters to describe an angle
34,Believes dividing a negative by a positive gives a positive answer
35,Believes you add 2 instead of subtracting 2 to the numbers of sides when finding total interior angles
36,Enlarges by the wrong centre of enlargement
37,Rounded to wrong degree of accuracy (2sf not 1sf)
38,Believes the sides of an inequality can be switched without changing the direction of the sign
39,Multiplies by 1000 instead of 100 when converting a decimal to a percentage
40,Believes midpoint multiplied by frequency is equivalent to frequency density
41,Believes the mean is the number of categories given divided by something
42,Believes that the complement of a set includes any elements which are also in another set.
43,Confuses the terms edges and vertices
44,"When adding or subtracting surds, just adds or subtracts the numbers under the surd rather than first trying to simplifying to find like surds"
45,"When asked for the value of a digit, gives an answer 10 times too big"
46,Does not realise that division can be broken down into factors
47,Believes y=-f(x) is a reflection in y=x
48,Thinks corresponding angles sum to 360 degrees
49,Doesn't believe that when you divide by 0 the answer will always be 0
50,"When given a non-unit fraction of an amount and asked to find the total, answers as if it had been the unit fraction"
51,Does not use angle facts when setting up an equation from an angle diagram
52,When asked for a specific term in a sequence gives the term before
53,Thinks circumference is radius x pi
54,Believes the arrow on a number line points to the middle value
55,"When subtracting a negative number from a positive number, uses a method which assumes one of the negative signs can be ignored "
56,Assumes a negative number is not rational
57,Believes the solution to mx + c = a is the x intercept of y = mx +c
58,"When dividing, confuses the remainder with the quotient"
59,Cannot identify a common factor when simplifying algebraic fractions
60,"Has written the value of the 'ones' column as the answer, withiut using the numbers in the question."
61,Multiplies by 10 instead of 100 when converting decimal to percentage
62,Does not realise that a curved line represents a changing gradient
63,Believes 'data' and 'sample' are interchangeable
64,Mixes up squaring and multiplying by 4
65,Cannot spot a variable within a written scenario
66,Repeats the digits three times when cubing a number
67,Divides by 1000 instead of 100 when converting a decimal to a percentage
68,Confuses a term with an equation
69,"When given a non-unit fraction of an amount, treats it like a unit fraction"
70,"When reading a composite bar chart, just reads total height of bar"
71,Multiplies all given dimensions when calculating an area
72,Thinks a decimal can be written as a fraction by just writing it under a numerator of 1
73,Confuses a function with an expression
74,Believes they must expand brackets before solving an equation
75,Believes that the directions of positive and negative vectors are the opposite way around.
76,Confuses quadratic and exponential graphs
77,"Does not follow the arrows through a function machine, changes the order of the operations asked."
78,"When multiplying a fraction by an integer, multiplies the denominator instead of the numerator"
79,Does not understand how to divide algebraic terms
80,Thinks you can ignore the variable when simplifying algebraic fractions
81,Thinks you subtract rather than add when finding the previous term in a descending linear sequence
82,Believes the square of a negative will also be negative
83,Confuses the meaning of perpendicular and vertical 
84,Believes greater than/less than symbols include end values
85,Does not remember that a rhombus has equal sides
86,Assumes value of symbols in a pictogram without checking the key
87,Does not know what an exterior angle is 
88,Believes parallelogram is the term used to describe two lines at right angles
89,Thinks it can't be called a sequence with a repeated number at the start
90,Does not understand place value after the decimal point
91,"When asked for factors of an algebraic expression, thinks any part of a term will be a factor"
92,"When identifying the center of rotation, writes down the origin"
93,"When multiplying a surd of the form a✓b by an integer, believes the integer and the number under the surd are multiplied"
94,"When solving simultaneous equations, thinks they can add variables to one of the equations to make terms across the 2 equations identical"
95,Does not know about the + notation for directions in rotations
96,Multiplies surds when asked to add
97,Believes there is only one orientation for the isosceles triangle base angles
98,Incorrectly clears fractions from equations
99,Thinks the faster you travel the longer the time it will take
100,Believes angles in a triangle sum to 360 degrees
101,Believes that reflection always switches the x and y coordinates
102,Does not think a factorised expression is equivalent to its multiplied out form
103,"When completing the square, believes the constant in the bracket is double the coefficient of x"
104,Assumes a sequence is linear
105,Mixes up sides of a ratio
106,Believes an arrowhead has four equal sides
107,"When expanding brackets, multiplies out the first term correctly but adds together the number outside the bracket with the second term inside the bracket."
108,Uses only the first two terms of a sequence to work out a term-to-term rule
109,Thinks a factor of the final digit is also a factor of the whole number
110,Does not know how to find the length of a line segment from coordinates
111,Does not work out all possibilites when given an 'at least' question in probability
112,Thinks the difference between the numerator and denominator determines how close the fraction is to 1
113,Does not recognise difference of two squares
114,Does not know the meaning of the word parallel
115,Believes fraction to decimal conversion is done by writing the numerator as a decimal
116,Believes an outlier is determined by the number of decimal places a number has
117,"Believes that in completed square form, they need to change the signs of both values to get the turning point"
118,"Given a line segment with a midpoint that is not the origin, assumes that the two end points will still have the same absolute value"
119,Believes distance = speed + time
120,Does not understand equivalent fractions
121,Believes midpoint in grouped frequency table is found by multiplying midpoint by frequency
122,Thinks they can convert percentages to fractions by writing the percentage value as both the numerator and the denominator
123,Rounds incorrectly when the nearest 10 is a multiple of 100
124,Believes perpendicular bisectors is the term used to describe two lines that are parallel
125,Thinks the division sign means to add
126,Multiplies rather than adds when given the command word 'more'
127,Thinks the fraction to decimal conversion button on a calculator can be used to raise to a power
128,Does not understand how to read both x and y coordinates
129,Believes they can change only one side of a ratio and it will remain equivalent
130,"Believes that for a line written in the form ax + by = c, a is the gradient"
131,Does not think a number can be a factor of itself
132,Only considers the positive solution when calculating a square root
133,Believes dividing by a unit fraction is equivalent to dividing by its reciprocal
134,Misreads scale
135,Thinks the value of an exterior angle is 360 degrees
136,Does not recognise a reciprocal equation
137,Does not know the meaning of the word identity 
138,"When solving a problem using written division (bus-stop method), does the calculation from right to left"
139,Thinks triple means add three
140,Believes cumulative frequency is plotted at the lower bound of the class
141,"In completed square form, confuses the x and y coordinates of the turning point"
142,"When given a linear sequence, cannot match it to a visual pattern"
143,"Thinks that when you cancel identical terms from the numerator and denominator, they just disappear"
144,Mixes up the x and y values of the coordinates
145,Does not know how to convert percentages with a decimal point into decimals
146,Has multiplied by the root power
147,Multiplies instead of dividing when distributing a total amount
148,Confuses theoretical and experimental probability
149,Believes P(success) in probability notation means the number of successes
150,Confuses written 'teen' numbers with their corresponding single-digit number
151,"When dividing decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant."
152,"Believes that the smaller a divisor is, the smaller the answer will be"
153,"When dividing decimals with the same number of decimal places as each other, assumes the answer also has the same number of decimal places"
154,Assumes an angle has been split into equal parts
155,Forgets to apply inverse trigonometric function when finding an angle
156,Confuses the graph of a linear equation with a quadratic equation
157,Believes squared units can be used to measure lengths
158,"Believes addition comes before indices, in orders of operation"
159,Does not divide by 2 when calculating the area of a triangle
160,Believes that adding a positive to a negative makes your answer more negative
161,Answers as if there are 100 minutes in an hour when changing from hours to minutes
162,Uses first term as numerical part of nth term rule
163,Thinks only one variable can introduce bias
164,Does not reduce the denominator when an item is not replaced in a probability question
165,"Believes that in y=mx+c, m is the x-intercept"
166,"Believes that in completed square form, they need to change the sign of the constant to get the turning point"
167,Does not recognise factorising a quadratic
168,Believes composite function notation means to substitute the outer function into the inner function
169,"When subtracting a fraction from a mixed number, assumes they just subtract the numerator from the integer of the mixed number"
170,Does not understand that when dividing both sides of an equation by an amount every term must be divided by the same amount
171,"When simplifying surds, does not multiply the number in front of the surd with the square root of the largest square number that has been removed from the surd"
172,"When subtracting fractions, subtracts the numerators and denominators"
173,"Believes that if more than one number in a multiplication is divided by the same power of ten, the answer will be divided by the same power of ten. "
174,Confuses major and minor sector
175,"Thinks that when multiplying decimals (less than 1), the number will get bigger"
176,Believes that a reciprocal equation is defined when the denominator is 0
177,"When the change in value is greater than the original amount, thinks percentage change = original/change x 100"
178,Thinks that the 10 becomes a 20 when adding in standard form 
179,Does not understand the difference between a value on a graph and the gradient of a graph
180,Writes the digit 3 times instead of cubing
181,Assumes a ratio is part to part instead of part to whole
182,Believes parallel lines have gradients of opposite signs
183,Has confused cube numbers with prime numbers
184,Believes the space diagonal is the same length as the diagonal on the bottom face of a cuboid
185,Thinks a positive y value in a column vector means to move down rather than up 
186,Does not understand the meaning of the word commutative 
187,Thinks there are 10cl in a litre
188,Believes interquartile range is the difference between one of the quartiles and the minimum value
189,"When multiplying decimals, ignores place value and just multiplies the digits"
190,"Does not account for grammar when writing algebra e.g. ,then making a group"
191,Believes that product means add rather than multiply
192,Does not know how to calculate the volume of a prism
193,Believes a cyclic quadrilateral can be self-intersecting
194,"Believes the sides of a square must be horizontal and vertical, not diagonal"
195,"When solving an equation, thinks the divisor and dividend are the opposite way around"
196,Confuses a variable with an equation
197,"Believes an outlier is the value in a data set with the biggest denominator, even if this value is close to the mean"
198,"When multiplying a decimal by a power of 10, just adds a zero to the end of the number, not changing the place value of the digits"
199,"Believes that when multiplying a number with a power, the multiplier is added onto the power"
200,"When solving simultaneous equations, thinks they multiply both equations by the LCM of the coefficients of the term being eliminated"
201,Believes substituting the starting value into an iteration formula immediately gives the solution
202,"When asked to add fractions, multiplies instead"
203,Thinks that dividing both numbers in a multiplication sum by the same power of 10 results in equal answers
204,Confuses scalene and equilateral triangles
205,Thinks there are 1000mm in a km
206,Thinks a cylinder is a prism
207,Confuses the terms faces and edges
208,Believes a composite function requires you to place the inner function next to the variable of the outer function instead of replacing it
209,"When multiplying a vector by a fraction, adds the numerator to the top number of the vector, and the denominator to the bottom number of the vector. "
210,Thinks the term in a sequence is double the position value
211,Believes displacement continues to increase even when returning to starting point
212,Solves for y=0 instead of given y-value when reading from a quadratic graph
213,Thinks there are 10 mg in a gram
214,Does not understand the 'less than' inequality notation
215,"When asked for a specific term in a sequence, just gives the position number"
216,Believes the smallest number in a set of numbers is always their highest common factor
217,"When adding fractions, adds the numerators and denominators"
218,Does not interpret a sloping gradient as a change in rate
219,Does not know that a right angle is 90 degrees
220,Only multiplies the first term in the expansion of a bracket
221,Thinks ratios are written as 1:total
222,Does not know the meaning of absolute value
223,Mixes up cubing with multiplying by 10
224,Forgets to swap the sign of roots when placing into brackets
225,Confuses frequency of one class with cumulative frequency
226,Thinks rectangles have line symmetry in the diagonals 
227,Ignores a more than question and just states one of the values
228,Divides rather than subtracts when given the command 'less than'
229,Does not account for scale on diagram
230,Thinks 1l = 1 cubic metre
231,Thinks we can't write an equivalent multiplication sum for a division sum by using a reciprocal
232,"When dividing by a fraction, switches to multiplication without also using the reciprocal"
233,"Cannot estimate the relative volume order, for different objects"
234,Subtracts instead of adds
235,Thinks adjacent angles are equal
236,Thinks corresponding angles sum to 180 degrees
237,Believes a line of best fit can be drawn on a scatter graph with no relationship or correlation
238,"When finding the mean of the data in a stem and leaf diagram, thinks you find the mean of the stem numbers"
239,Finds a common multiple but not the lowest common multiple
240,"Misunderstands how to calculate the lower bound in a division, believes it is found by dividing both upper bounds"
241,Thinks co-interior angles sum to 360 degrees
242,Thinks the hundred thousands column is the ten thousands column
243,Identifies a common factor but not the highest common factor
244,Believes the solution of mx + c = 0 is x = m
245,Does not realise that to maintain balance in an equation they must add or subtract the same amount from both sides
246,Does not think a kilogram is a unit of mass
247,Found the percentage but added it to 100%
248,Believes a pie chart makes 360% not 360 degrees
249,Does not understand a denominator represents equal parts
250,Believes a fraction cannot have a numerator of 0
251,"Includes a data point with the value, when asked to find the number of data points below a value"
252,Does not think 'other' is an acceptable category for data
253,Does not recognise that all lengths on a cube are equal
254,Believes all triangle numbers are odd
255,Does not know the meaning of the word regular 
256,Does not reverse the order of operations when solving an equation
257,Uses numerator as whole part of a fraction
258,"When finding a missing number in a factor tree, multiplies by the factor given rather than dividing."
259,"Thinks that when drawing the elevation, the bottom layer does not need to be included "
260,Thinks cubing a number means adding 3 to that number
261,When multiplying just writes the numbers next to each other
262,Believes the intersection in a prime factor venn diagram does not contribute to the size of the number represented by a circle 
263,"Does not understand direction of North East, North West, South East and South West cardinal points"
264,Subtracted rather than divided by a scale factor
265,Does not realise a quadratic must be in the form ax^2+bx+c=0 to be factorised
266,Identifies a letter as a common factor but doesn't identify a number as a common factor
267,Writes the variable before the coefficient in an algebraic term
268,Believes lines of reflection must be vertical or horizontal
269,"When finding the distance between 2 points, believes the distance is the coordinate of the furthest point from origin"
270,Thinks the term polygons only applies to shapes with more than 3 sides
271,Believes triangle numbers are formed differently to the correct way
272,When finding a missing side of a parallelogram given the area completes an extra step of dividing by 2
273,Thinks 1l = 1 cubic centimetre
274,Confuses angle of a sector with the radius
275,"When finding a point on a line, assumes the point is always the midpoint"
276,Adds rather than multiplies when scaling up in direct proportion problems
277,Thinks pressure is force per unit volume
278,Believes a power of 2 has no impact on its value
279,Mixes up square rooting and cube rooting
280,Describes lines when asked to describe angles
281,Thinks that if two lines do not intersect on a diagram then they will never intersect and are therefore parallel
282,Does not understand that a point on the line of reflection will stay the same when reflected 
283,Believes reflection in y = -x switches x and y coordinates
284,Believes the gradient of a speed-time graph is the speed
285,Lines up the digits incorrectly when doing an addition involving two numbers with a different amount of digits
286,"when subtracting a fraction from an integer, just adds their absolute value and places a negative sign in front"
287,Thinks y = ? is a vertical line through ?
288,Does not break down all factors in a factor tree to primes
289,Writes the numerator and the denominator the wrong way round in a probability
290,Thinks a decreasing sequence cannot be quadratic
291,Thinks a negative y value in a column vector means to move up rather than down
292,Converts fraction to percentage by putting % sign after the denominator
293,Does not understand that similar shapes sides must all have the same scale factor
294,Thinks that only the sides need to be equal for a polygon to be regular
295,Does not know the word and/or does not know the function of a compass
296,Ordered fractions by comparing denominators rather than using equivalent fractions.
297,Forgets you need a compass to draw arcs
298,Confuses a constant with a variable
299,"When solving time problems, finds the difference in the hours and the difference in the minutes but then assumes the minutes will be added on to the number of hours"
300,Believes a direct proportion graph does not have to start at the origin
301,Thinks you can multiply by a decimal to find a multiple of a number
302,Assumed each part of a fraction diagram is worth 10%
303,"Believes that when eliminating a variable, if the signs of the terms with matching coefficients are the same, we do the operation inverse to the sign (- if positive, + if negative)"
304,Believes knowing the perimeter of squares does not give you enough information to find the perimeter of combines shapes using those squares
305,Does not know the formula for area of a trapezium
306,Added rather than multiplied by a scale factor
307,"When using Pythagoras to find the height of an isosceles triangle, uses the whole base instead of half"
308,Believes that dividing by 100 gives 10%
309,Believes angles on a straight line add to 90 degrees
310,"Guesses when something is ""twice as high/much"", rather than multiplying by 2"
311,Believes gradient is the sum of y the coordinates divided by the sum of the x co-ordinates 
312,"In ratio question where the difference between the sides is given, uses that as the total for one side instead"
313,Believes edges of a 3D shape do not include edges of base
314,"When calculating the power of a negative number, thinks they can ignore the sign when multiplying and then put a negative sign back on at the end, regardless of the power "
315,Has not realised that the answer may be changed by the insertion of brackets
316,Mixes up primary and secondary data types
317,"When multiplying fractions, adds the numerators and multiplies the denominators"
318,"Assumes that converting a decimal percentage to a fraction, they can just convert the decimal to a fraction, instead of writing the decimal over 100."
319,"When factorising, thinks the smallest coefficient will be the numerical factor, regardless of whether it divides into all terms"
320,"When factorising into double brackets, finds the two values which sum to give the constant rather than the coefficient of x"
321,Believes class width multiplied by frequency gives frequency density
322,Believes that rounding must change the number
323,"When measuring a line segment with a ruler, assumes the line starts at 0"
324,Believes the two variables have to add to the same value in inverse proportion
325,Does not check the labelling of the axes 
326,"When converting fractions to ratios, puts the other side of the ratio as the total of the numerator and denominator"
327,Mixes up total and part in ratio
328,Performs addition ahead of multiplication
329,Does not understand a percentage is out of 100
330,"When working with inverse and direct proportion, forgets to apply the root or index to find k, but remembers when doing the second calculation"
331,Does not understand the term factor
332,Confuses reciprocal and quadratic graphs
333,Not considered the y value when reading coordinates
334,"When solving an equation with x in the denominator, thinks the inverse operation is to make it the numerator on the other side"
335,Believes 30% is equivalent to 1/3
336,Does not understand that having values after the decimal point makes a number larger than a number with the same units but no decimal places
337,Believes the solution of mx + c = a is x =a
338,Believes only straight lines count as edges on 3D shapes
339,"When dividing, ignores any remainders"
340,Does not understand that when multiplying both sides of an equation by an amount every term must be multiplied by the same amount
341,Believes the second term in a 2 term quadratic equation is always a coefficient and the variable
342,Uses the whole base rather than half the base when forming a right angled triangle from an isosceles triangle
343,Estimates the frequency shown on a pie chart rather than calculating
344,Does not understand that a probability of 0 represents something that is impossible
345,Has treated this like an addition problem and added the ones column.
346,Does not understand how to multiply algebraic terms
347,"When solving an equation with a fraction, thinks you don't need to multiply every term on both sides when multiplying by the denominator "
348,Writes times in the afternoon as if 10 is midday on a 24 hour clock
349,"When adding surds, just multiplies the numbers under the surd rather than first trying to simplifying to find like surds"
350,Forgets to carry the tens when doing column multiplication
351,Thinks a chord does not have to start and end at the circumference of the circle.
352,Believes the fx column for calculating mean is value - frequency
353,Does not recognise when one part of a fraction is the negative of the other
354,Believes class width represents frequency in a histogram
355,Thinks the interior angle of a regular polygon is 10n
356,Finds the sum of the missing angles but not the angle being asked
357,Does not understand that in the ratio 1:n the total number of parts would be 1+n 
358,Believes digits of a number are read/written from right to left
359,Confuses random and stratified sampling methods
360,Gives frequency when asked for relative frequency
361,Believes that repeated prime factors are only counted once
362,Believes f(x) - a translates the function right a units
363,Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fraction
364,Thinks they just remove the decimal point when converting a decimal to a percentage
365,Thinks that we cannot calculate the range if values are repeated
366,Does not know the meaning of the identity symbol
367,Does not know that co-interior angles must be in parallel lines
368,Thinks a kite has one pair of parallel sides
369,Forgets to add starting value when calculating new coordinates
370,"When solving simultaneous equations, believes the terms must have the same sign in order to be eliminated."
371,"When dividing fractions, divides by the reciprocal, instead of multiplies"
372,"In ratio question where the difference between the sides is given, uses that as the total"
373,Believes you can add or subtract from inside brackets without expanding when solving an equation
374,Thinks a hexagon has 8 sides.
375,Believes you can only have one mode
376,Unable to equate a division and multiplication to a single division
377,"When asked for the mean of a list of data, gives the mode"
378,"When finding the difference between two points on a time series graph, only uses one of the points. "
379,Finds the y intercept when asked to read the solution to a quadratic equation from a graph
380,Does not understand the first significant value is the first non-zero digit number
381,"When dividing a fraction by an integer, divides both the numerator and denominator by the integer"
382,Does not know how to combine different symbols in Roman numerals
383,confuses cubic and reciprocal graphs
384,"When solving simultaneous equations graphically, they think the solutions are the x-intercepts"
385,"Thinks the reciprocal of n, 1/n = 0.n"
386,Believes that an exterior angle can have a value of 360 degrees
387,Thinks there are 100 seconds in a minute
388,When placing a negative number on a number line student assumes numbers with a greater absolute value are placed to the right.
389,Combines variables with constants when writing a formula from a given situation
390,Believes you find the mode by calculating the mean
391,Mixes up the value of two terms when substituting
392,"Believes you divide 1 by the number of values, rather than the total, when finding the mean"
393,Believes adding coordinates of endpoint and midpoint of a line will give the other endpoint
394,Divides instead of multiplies when multiplying by a decimal
395,"Thinks there are 10,000kg in a tonne"
396,Does not recognise the height of a trapezium as the perpendicular length between the parallel sides
397,When calculating the range does not reorder the data to find the largest number minus the smallest number
398,Does not know that we can use the conservation of perimeter to find missing lengths
399,Confuses place value when rounding to estimate
400,Thinks multiplying a variable by a number is the same as raising that variable to the power of that number
401,"When given the equation of a straight line, believes the first term always gives the gradient, even when the first term is actually c"
402,Does not know the definition of a cone
403,"When rationalising the denominator, confuses the numerator with the denominator"
404,Uses cos when sin is required
405,Believes the only way to find the interior angle of a regular polygon is to subtract the exterior angle from 180.
406,Believes class width multipled by frequency gives the area of the bar in a histogram
407,Does not equate y=-x with x=-y
408,"When multiplying fractions, multiplies both the numerator and denominator"
409,Identifies first decimal place value when asked for first significant figure
410,Believes the size of an angle can be given as a word rather than a number
411,"When identifying the center of rotation, chooses a point with the wrong y-value"
412,Assumes that an enlargement is always from the smaller object to the bigger one
413,"Believes that n/n = n, instead of 1"
414,Divides by the order of the root
415,Incorrectly identifies angles as vertically opposite
416,Believes the intersection of two complements can be found using the complement of the intersection
417,"When reading values from graphs, writes down the wrong units"
418,"Believes that when factorising a quadratic, they can choose any two numbers that add to give the coefficient of x"
419,"When converting a fraction to a decimal, divides the denominator by the numerator"
420,"When finding bearings, finds the back bearing to what the question is actually asking"
421,Mixes up odd and even numbers
422,Thinks x = y is an axis
423,Does not know the meaning of equilateral
424,Adds 3 decimal places rather than moving 3 places
425,Assumes the third column of a grouped frequency table is always cumulative frequency
426,Believes corresponding angles sum to 90 degrees
427,Answers as if there are 100 minutes in an hour when writing minutes as decimals
428,"When a point is on an axis, gives both coordinates as the value it's at on the axis"
429,"When multiplying a surd by an integer, believes the value under the surd can be swapped with the integer"
430,"When finding bearings, finds the bearing going in the reverse direction to the one stated"
431,Finds interior angle rather than given angle
432,Believes the equation of a straight line is y=-mx-c
433,Believes a negative power results in a negative answer
434,"Believes only angles on parallel lines can be called ""corresponding"""
435,Finds a scale factor but forgets to multiply the original value in proportion questions
436,Does not understand when like terms can be collected
437,Does not recognise that probabilities of all possible outcomes will sum to 1
438,Believes cubing a number means you multiply it by 3
439,Believes gradient = change in y multiplied by change in x
440,Thinks n=0 for the first term in a sequence
441,Does not recognise a unit of volume
442,Confuses cumulative frequency and frequency density
443,Thinks there are 12 hours in 1 day
444,Confuses the value outside of a Venn diagram as the total number of entries in the diagram
445,Counts squares instead of the correct scale when plotting coordinates
446,Repeats the digits twice when squaring a number
447,Believes dividing by 0.1 is the same as dividing by 10
448,Confuses adjacent and opposite sides
449,"Does not realise we can scale the perimeter as a whole, rather than finding individual side lengths"
450,Confuses the terms faces and vertices
451,Does not recognise parallel lines angle rules applied inside a shape
452,"When a variable in an expression has a power, thinks the power applies to the whole expression"
453,Believes qualitative data can be continuous
454,Thinks measures of area must end in squared
455,Subtracts 1 rather than 2 from the number of sides when finding the sum of interior angles
456,Believes you can divide the change by 100 to find the percentage change 
457,Does not know how to calculate volume
458,When finding an input of a function machine thinks you apply the operations given rather than the inverse operation.
459,confuses circumference and area
460,"Believes the graph of x squared + c has the turning point of (-c, 0)"
461,"When finding the median for an odd numbered data set, find the midpoint of two values rather than giving the middle value"
462,Thinks that they can combine functions in a function machine before applying them to the input
463,Reads the complement of what is required from a pie chart
464,Believes that you are unable to calculate the sum of the interior angles of an irregular polygon given the number of sides
465,Does not know the diagonals of a square bisect at right angles
466,"When calculating with numbers in standard form, just applies the operation to the number and the power separately"
467,Treats zero as a ten when subtracting
468,Believes you find the frequency for a pie chart sector by calculating its angle divided by the total frequency
469,Believes the position of a sequence cannot be an integer
470,Cannot reflect shape when line of symmetry is diagonal 
471,Believes that the solution to ax + b = 0 is x = -a/b
472,Multiplies the value as if the original recipe was for 1 person
473,Underestimates the impact of the size of images in a misleading statistical diagram
474,Thinks 1l = 100 cubic centimetres
475,Believes the total of a part whole model is always 1 (or equivalent) instead of the given total
476,Thinks Angle-Angle-Angle triangles are congruent
477,"Believes when multiplying fractions you cross multiply top left and bottom right for numerator, and the other diagonal for denominator"
478,Does not know what a square number is
479,Thinks a divide and a negative sign next to each other makes a plus
480,Believes that angles that look like they are a right-angle are always 90 degrees
481,Thinks the inverse of subtraction is multiplication
482,"When simplifying surds, does not understand that the simplified root is what is left after dividing out the largest square number"
483,"Thinks that the square root of an expression square roots each term in the expression, rather than square rooting the whole expression"
484,Mistakes cube root for cubing the number
485,Believes 1 is not a factor of a number
486,Does not square the conversion factor when converting squared units
487,Believes a composite function multiplies the functions together
488,Does not correctly apply the distributive property of multiplication
489,Believes speed = time/distance
490,"Believes that when constructing triangles, all sides should be measured from the same point"
491,Does not know how to calculate the mean
492,"Believes the graph of x squared + c has the turning point of (c, 0)"
493,Thinks you add the number of wholes to the numerator when converting a mixed number to an improper fraction.
494,"When comparing data, only compares one category of data rather than comparing the totals"
495,Thinks converting an integer to a fraction means both the numerator and denominator are equal
496,"When subtracting decimals with a different number of decimals, subtracts one digit from more than one column"
497,Used the digits of the decimal as the denominator
498,Does not understand that in a ratio 1:n that one part of the ratio would be n times bigger than the one part
499,Does not realise ratio in worded problem can be simplified
500,Finds the shaded section rather than the specified section
501,Uses tan when cos is required
502,Believes multiplying a number by its square root gives the square root
503,Ignores partial symbols on pictograms
504,"Given the mean and the amount of numbers, adds to find the total"
505,Believes finding the product of two numbers gives their lowest common multiple
506,Believes that multiplying variables is the same as adding them together
507,Believes the total frequency is the overall total in a grouped table
508,Thinks there are 1000 seconds in an hour
509,Believes speed is distance multiplied by time
510,Believes that a positive x squared coefficient in a quadratic equation results in an n shaped graph
511,Ignores the negative sign when thinking about the value of a term
512,"When asked to solve simultaneous equations, believes they can just find values that work in one equation"
513,Believes they need to multiply the numbers together in a worded HCF question 
514,Believes 0.5absin(c) requires only three sides (potentially confused with cosine rule)
515,Does not know a rectangle is a type of parallelogram 
516,Thinks the inverse of multiplication is addition
517,Assumes triangles are isosceles if they look like they are isosceles
518,Thinks that to decrease by a percentage you multiply by 1+ the decimal equivalent to that percentage
519,"When asked for factors of an algebraic expression, thinks a term will be a factor"
520,Thinks the inverse of addition is multiplication
521,"When asked to triple, writes the digit out three times"
522,Does not count from the centre of enlargement to find the image
523,Believes you cannot have a negative gradient when plotting a linear sequence
524,Does not understand square root
525,Does not understand that a surd is a rational number if the number under the root is a square number
526,Thinks there are 10000mm in a km
527,Does know know equilateral means the same as regular 
528,Does not think that a variable with no coefficient has a coefficient of 1.
529,Believes cumulative frequency is the product rather than sum of frequencies
530,Confuses the formulas for the circumference of a full circle and the perimeter of a sector
531,Thinks when finding a percentage you multiply by the percentage being asked
532,Confuses alternate and opposite angles
533,Does not consider the variable when evaluating an expression that requires substitution.
534,Does not understand what an interior angle is
535,Believes a missing length on a cuboid can be found by doing volume divided by a different length
536,Ignores coefficients when forming an expression from a question
537,Believes you do not need to give the direction when describing a rotation
538,Does not perform calculations in the numerator of a fraction before division by the denominator
539,Does not understand the value of zeros as placeholders
540,Believes the discriminant must be a perfect square for an equation to have real solutions
541,"When asked to find a missing number in a factor tree, finds any factor of the given number rather than the pair of the factor already given."
542,Believes constructing a perpendicular gives an angle of 60 degrees
543,"Thinks that when drawing a plan view, you only include the top layer of the shape"
544,When dividing a decimal by a power of 10 adds zeroes to start of the number ignoring the placement of the initial decimal point
545,"When given the perimeter of a regular polygon, multiplies instead of divides to find each side length"
546,"After multiplying to get a common denominator, simplifies back to the original fractions"
547,Factorises difference of two squares with the same sign in both brackets
548,Believes that a fractional index means you need to find the reciprocal
549,Incorrectly converted cm to m
550,"When representing an inequality on a numberline, assumes the filled and unfilled circles have the opposite meaning."
551,Believes a rectangle has four equal sides
552,Thinks the units for speed should not contain a measure of time
553,Confuses an equation with an identity
554,Finds area of one face when asked for volume
555,Only counts visible edges
556,"When describing a translation, counts the corners of squares (including the starting one) rather than the number of jumps between squares."
557,Assumes a fact without considering enough examples
558,"When given a term to term sequence with multiple steps, applies one step per term"
559,Thinks depth is marked on the cross section of a prism
560,Confuses class width and upper bound of the class
561,Misinterprets the order of division in worded problems
562,"When drawing a histogram, believes you plot cumulative frequency on the vertical axis"
563,Counts the squares rather than the diagonals when reflecting in y=x or y=-x 
564,Does not understand set notation for complement (eg. A')
565,Divides rather than multiplies 
566,Thinks the inverse of subtraction is division
567,"When doing operations with decimals, ignores significant zeros after the decimal point"
568,"When solving a problem that requires an inverse operation (e.g. missing number problems), does subtraction when division is required"
569,Believes the solutions to an equation have opposite signs from its x intercepts
570,Does not understand that all angles and sides must be equal for regular shapes
571,Believes a smaller number of shaded parts represents a smaller fraction
572,Writes repeated letters instead of using index form of a variable
573,Thinks numbers are divisible by all multiples of their factors
574,Thinks there are 100mm in a km
575,Thinks that when you put an input into a function machine you apply the inverse operation rather than the operation given.
576,Cannot identify a line of symmetry in a simple shape
577,Does not realise multiplying a variable by itself results in a power of that variable
578,Does not recognise when a surd can be simplified
579,Thinks you cannot multiply by a decimal to get equivalent fractions
580,Does not understand use of the counters to represent algebra
581,Writes times in the afternoon as if they are morning on a 24 hour clock
582,Confuses the dependent and independent variables on the axes of a line graph
583,Ignores negative sign when expanding bracket
584,Underestimates the area of shapes when counting squares when some squares are neither wholes nor halves
585,Believes lines can be parallel by having the same y intercept OR gradient
586,Mixes up square numbers and prime numbers
587,"Thinks that when adding decimals with a different number of decimal places, you should line up the digits to the right "
588,Thinks 10l = 1 cubic metre
589,Believes extreme values can affect the median
590,Has used slant height and base to find area of a triangle rather than perpendicular height and base
591,Does not believe the length of a diagonal line can be worked out based on horizontal and vertical measurements
592,Thinks a fractional scale factor changes direction as well as size
593,Thinks multiplying by a variable is the same as raising to the power of that variable
594,Believes y=-f(x) is a reflection in the y-axis
595,Believes the adjacent side is where the opposite side is in a right angled triangle
596,Chosen the longest value rather than the greatest
597,Thinks that to decrease by a percentage you just multiply by the decimal equivalent to that percentage
598,"When subtracting a surd from an integer, just divides the integer by the number under the surd"
599,Does not understand that an obtuse angle is between 90 and 180 degrees
600,Thinks a horizontal line on a distance time graph means a distance of 0
601,Believes a less steep gradient corresponds to a faster speed
602,"Thinks multiplying two or more negative numbers together always gives a positive answer, regardless of how many negative numbers there are in the sum"
603,Believes you can make assumptions about size of pie chart sectors without enough information
604,Gives probability as an integer instead of a fraction
605,Believes the sin graph relates to the tan function
606,Does not understand how to simplify fractions
607,Thinks the area of a sector is theta/360 x r x pi (forgetting the radius is squared)
608,Believes an upward line has a negative gradient
609,"when dividing a fraction by an integer, multiplies the numerator by the integer"
610,Does not recognise how to write a list of prime factors from a factor tree
611,"When two digits sum to 10 or more during addition of decimals, does not carry across decimal point to preceding digit."
612,"Believes that when a shape is enlarged, the area rather than the scale factor is squared"
613,Thinks 0.3 = 1/3
614,"When solving simultaneous equations, thinks you only transform the term that is being eliminated, rather than the whole equation."
615,Adds rather than subtracts when using Pythagoras to find a shorter side
616,Does not understand that 2n represents an even number
617,Does not apply the inverse function to every term in an expression
618,Does not recall rectangle side length property
619,Divided by 10 rather than 100
620,Gives the vertex instead of the 3-letter angle notation
621,Believes the negative of a positive squared (where there are no brackets) gives a positive answer
622,Thinks the gradient of a line is found from 2 points by finding the length of that line between those points
623,Assumes the denominator is divided by the numerator
624,"In ratio question where one side of ratio is given, treats that as the total"
625,Confuses corresponding and vertically opposite angles
626,Thinks the difference between a positive number and a negative number is equal to the positive number
627,Does not realise similar has a specific mathematical meaning
628,"When factorising, finds a factor that goes into only the first term of the expression"
629,Thinks there are 1000mm in a centimetre
630,Does not know parallel lines have equal gradients 
631,"When calculating the mean from a list of data, adds up the numbers but does not divide"
632,Confuses range and interquartile range
633,Does not understand how to subtract algebraic fractions
634,Does not know the term numerator
635,Believes you cannot find the angle size in a pie chart when given its percentage value
636,Mixes up constant and coefficient in a worded substitution problem
637,Does not recognise the corresponding sides in similar shapes or enlargements
638,Believes multiplication is not commutative
639,Believes unrelated acute/obtuse angles in a diagram are supplementary
640,Does not find the angle being asked
641,Does not add on the constant in a worded substitution problem
642,Thinks x = ? is a horizontal line through ? 
643,Think 1km = 1 mile
644,May have estimated when using ratios with geometry
645,Believes enlargement by scale factor -1 exchanges the x and y coordinates
646,Confuses scalene and right angle triangles
647,Thinks co-interior angles sum to 90 degrees
648,Finds volume when asked for surface area
649,"Beileves you can use the full length when finding an area of part of a composite shape, when part of the length is needed"
650,Believes mean is total divided by number of groups
651,Forgets you need a protractor to measure angles
652,Mixes up the numerator and denominator when writing a division as a fraction
653,Does not have when calculating the area of a triangle
654,Believes an interior angle in a regular polygon can be found using 180(n+2)/n
655,Assumes that a list is given in size order
656,Reverses the order of operations but does not apply the inverse operations when finding the input of a function machine
657,Has completed only one of the two operations.
658,Thinks they double the numerator to turn a fraction into a percentage
659,Does not know how to write a fraction - just given an integer answer
660,Thinks that the perimeter on a square grid is the number of squares inside that are touching the perimeter of the shape
661,Confuses an expression with a term
662,Believes that a number divided by itself equals the original number
663,Forgotten placeholders when rounding to significant figures
664,"Believes -a is always smaller than a, ignoring the possibility that a is negative"
665,Believes that the gradient of a horizontal line is undefined
666,Thinks grams and tonnes are the same
667,Only considers elements in one set when asked to find the intersection of multiple sets
668,Writes four symbols after rather than one before in Roman numerals
669,Has used slant height and base to find area of a parallelogram rather than perpendicular height and base
670,Counts the starting number when counting on
671,"When reading decimals on a number line, assumes each dash is 0.1"
672,When asked for a specific term in a sequence gives the next term
673,Finds total instead of difference when asked 'How many more'
674,Thinks the inverse of addition is division
675,"When interpolating using a line of best fit, reads off the value for the closest point to the line rather than the value given by the line of best fit "
676,Does not recognise that an equation will stay balanced if all terms are multiplied/divided by the same amount
677,"When asked to subtract a fraction from a unit, removes the unit value from the numerator."
678,Believes you cannot find the mode from a pie chart
679,Gives a fraction when asked for a decimal
680,Does not know the term transversal
681,"When drawing a cumulative frequency diagram, thinks you plot cumulative frequency on the horizontal axis"
682,Thinks millimetres and centimetres are the same
683,"When factorising, believes they can choose different factors for each term"
684,Does not find a common denominator when comparing fractions
685,Does not adjust the hour for “to” times
686,Does not know units of area should be squared
687,Confused mixed numbers with improper fractions
688,Confuses the factorised form of repeated roots and the difference of 2 squares
689,"When multiplying algebraic terms written in the same base, adds the base variables and multiplies the powers."
690,Struggles to visualise nets of 3D shapes
691,To find the range adds the biggest and smallest number rather than subtract
692,Only uses two terms of a sequence to work out a term-to-term rule
693,Does not divide to get a unitary amount before scaling up
694,Confuses cubic and quadratic graphs
695,Has found the area of a triangle rather than an area of a parallelogram
696,"In the middle of the total column or row of a two way table, adds the other totals (including overall total), rather than finding the difference"
697,Arithmetic error when multiplying by 7
698,Believes each number on a clock face represents 1 minute
699,"When “borrowing” during a subtraction problem, does not subtract one from the preceding digit"
700,"When calculating missing side length from perimeter, gives the total missing length instead of dividing for one side."
701,Does not know the meaning of vertically opposite
702,When changing a number to standard form omits zero's of significance 
703,"When adding or subtracting surds, just finds the largest square that goes into each number under the surd and adds or subtracts those rather than using the largest square to simplify the surd"
704,Thinks there are 10cm in a metre
705,"When describing the relationship shown on a scatter graphs, gets the effect on the dependent variable backwards"
706,Carries out operations from right to left regardless of priority order
707,Believes that fractions with the same denominator are equal
708,Believes switching the x and y variables in a linear equation gives a perpendicular line
709,Adds instead of subtracts when using an area model for multiplication
710,Confuses factors and multiples
711,Believes you write the carried value in the number rather than adding it to the next place value column
712,Believes you can not take away a larger number from a smaller one
713,"When asked for a specific term in a sequence gives a different term, which is not the next"
714,Uses the other part instead of total frequency as denominator for relative frequency
715,Removes the common denominator when making equivalent algebraic fractions
716,Rounds a decimal instead of using a fraction in division
717,Believes the amount given is for the whole rather than a part
718,Uses sin when tan is required
719,Does not recognise feet (ft) as a unit of length
720,Believes that 'less than' includes the number 
721,Does not know what the symbol for equal lengths means
722,Thinks the fraction button finds the reciprocal
723,Forgets you need a ruler to measure lengths
724,Thinks the denominator in a combined probablity will be the same as the denominator in the probability of the first event.
725,Does not know that angles on a straight line sum to 180 degrees
726,Believes they can reverse a percentage increase or decrease by dividing by the decimal multiplier of the original change
727,Gets their constants and coefficients the wrong way around when writing a formula from a given situation
728,Confuses least and most
729,"Thinks the sum of 2 numbers, each squared first, is the same as adding the two numbers and then squaring the total"
730,Ends up £1 out when dealing with change in money
731,Believes that the third vertex of a triangle will share coordinates with both of the other vertices
732,Finds the mean instead of the median
733,"When dividing an integer by a fraction, thinks they can just multiply instead."
734,Confuses square rooting and halving the number
735,"In ratio where total is given, treats that as one part without dividing"
736,"When subtracting past zero, adds the absolute values and then writes the answer with a negative sign"
737,Thinks there are 30 minutes in a hour
738,Believes there are 100cl in a millilitre
739,Rounds to wrong degree of accuracy (decimal places rather than significant figures)
740,"Does not recognise that for a shape to be reflected it will be ""flipped"""
741,Includes too many possibilites when given an 'at least' question in probability
742,Believes solving an inequality gives a single value as a solution
743,"When calculating the area of a rectilinear compound shape, calculates the are of the surrounding rectangle"
744,"When dividing a fraction by an integer, thinks they can just multiply instead"
745,Confuses midpoint and distance between two points
746,Finds surface area when asked for volume
747,Believes scales on graphs must match on both axes
748,"When finding the negative power of a negative power, assumes they can ignore one of the negatives"
749,"When asked to subtract a fraction from a unit, removes the unit value from the denominator"
750,"When using the capture-recapture method, confuses the order of the calculation to find best estimate of population"
751,Believes you add the terms together when multiplying like terms.
752,Thinks that when dividing numbers in standard form you subtract the number and divide the power
753,Believes when you plot a linear sequence it doesn't give a straight line
754,Does not recognise that an integer multiplied by a surd can be simplified
755,Does not know which letters can be subtracted in Roman Numerals
756,Believes unit fractions with a difference of 1 in the denominator have no other fractions between them
757,Adds rather than multiplies when asked for a product
758,Believes an outlier is a value that does not fit the same characteristics as the other values
759,Confuses a formula with an expression
760,Converts a fraction to a decimal by using the denominator after the decimal point
761,Subtracts instead of adds when finding a midpoint
762,Chooses an example when asked for a counter-example
763,Believes 'inclusive' does not include the end value
764,Confuses octagon and pentagon
765,Thinks there are 10kg in a tonne
766,Confuses the graphs of  direct and inverse proportion
767,Thinks there are 10 minutes in an hour
768,Finds the circumference of the whole circle instead of arc length 
769,Confuses the direction of vectors when adding or subtracting
770,Believes class width represents area of the bar in a histogram
771,Believes that the solutions to x<b or x>b also satisfy ax<b or ax>b
772,Rotates instead of reflects
773,Does not understand to find each interior angle of a regular polygon you divide the sum by the number of sides
774,"When subtracting mixed numbers, does not realise that a negative fractional answer needs to be taken away from their integer answer"
775,"When adding variables with powers, thinks they can add the powers"
776,Does not know how to compare size of angles on a grid without a protractor
777,"When describing the relationship between the parts in a ratio using a fraction, gets the numerator and denominator the opposite way around"
778,Struggles to visualise the new position of an object after transformations
779,"When multiplying multiples of ten and the answer requires an extra digit, leaves off that extra digit"
780,Believes the constant only gives the y-intercept for linear graphs
781,"When reading decimals on a number line, assumes each dash is 0.2"
782,Mixes up quantitative and qualitative data types
783,Thinks the sign of solutions in a quadratic equation is always the same as the constant term
784,Thinks there are 100g in a kilogram
785,Confuses co-interior and alternate angles
786,"Believes they write the digits next to each other instead of multiplying, when multiplying a vector by an integer."
787,Does not scale up a ratio to find an equivalent value
788,Believes all linear graphs show direct proportion
789,Does not understand the naming structure of polygons
790,Thinks the shape of the graph does not affect the area calculation
791,"In a worded problem, does not complete all calculations"
792,Expands when asked to simplify
793,Forgets to subtract sum of angles we know from 180 to find missing angle in a triangle
794,Rounds up rather than to one significant figure
795,Ignores the negative signs when adding positive and negative numbers
796,Draws both angles at the same end of the line when constructing a triangle
797,Reflects horizontally or vertically instead of across a diagonal line of symmetry
798,Believes all numbers in a prime factor tree are included in the list of prime factors
799,Only considers elements in one set when asked to find the union of multiple sets
800,Thinks you just add a % sign to the numerator to make a fraction into a percentage
801,Forgets to give the centre of rotation
802,"Thinks that when drawing the elevation, the top layer does not need to be included "
803,Believes an axis is scaled correctly if the marked values increase in a linear pattern (ignores the distance from the origin to the first value) 
804,Believes percentages cannot be converted into fractions
805,Believes a rotation and a reflection can be combined by applying the rotation to the mirror line
806,Thinks the number in the ratio is the total
807,Believes all quadratic equations have a solution of 0
808,Thinks they double rather than halve when finding the area of a triangle
809,Uses cos when tan is required
810,Believes the number outside the circles in a Venn represents the intersection
811,Believes they can multiply/divide through by a negative number without changing the direction of the inequality
812,When dividing numbers with the same base correctly subtracts the powers but divides the base numbers.
813,Believes parallel is the term used to describe two lines at right angles
814,Confuses circumference and radius
815,Counts in the wrong direction on a number line
816,Only counts visible faces
817,Believes adding numbers together gives the highest common factor
818,Believes the median is the category with the median frequency
819,"When drawing a cumulative frequency diagram, thinks you plot the upper bound of the class intervals on the vertical axis"
820,Does not know that you can leave a fraction in improper form
821,Mistakes rotations for translations
822,"When rounding, believes that if the number, after the required degree of accuracy, is a 5 or below you round down"
823,Assumes they multiply by the numerator of fractional index
824,"Believes rounding to 1 decimal pleace means rounding to the nearest integer, regardless of the value of the number"
825,"thinks when writing a mixed number fraction as an improper fraction, you need to multiply the denominator by the whole "
826,Confuses intersection and universal set
827,Believes when frequencies multiply by a scale factor in a table the mode also multiplies by that scale factor
828,Adds when calculating area instead of multiplying
829,Estimates angle rather than calculating
830,Gives an example of a factor instead of counting how many total factors a number has
831,Thinks subtraction calculates how many in 
832,Believes that a fraction with equal numerator and denominator cancels to 0
833,"When calculating perimeter, multiplies instead of adds"
834,"When asked for the next term in the sequence adds one to the last term given, despite the sequence not going up in ones."
835,Confuses a formula with an equation
836,Believes the mean is the middle number
837,Believes that rounding parts of a fraction in different directions means the answer will be the same. 
838,"When factorising a quadratic without a non variable term, tries to double bracket factorise"
839,"When dividing by a non unit fraction, thinks you multiply by the reciprocal of the corresponding unit fraction rather than the fraction given. "
840,Does not understand the place value of answers from a Napier's bones calculation
841,Does not subtract 2 from the number of sides when finding the sum of interior angles
842,Confuses the calculations for HCF and LCM
843,Does not see fraction diagrams as equivalent if the shading is in a different pattern
844,Thinks there are 100mm in a metre
845,Believes they can find the nth term based on the first term only
846,Thinks there are 1000ml in a centilitre
847,Thinks they can convert a 2 digit percentage to a fraction by writing one number over the other.
848,Believes when simplifying a fraction you can divide the numerator and denominator by different values
849,Thinks the nth term is when the value of the term is n
850,Thinks there are 10mm in a metre
851,Thinks a negative x value in a column vector means to move right rather than left 
852,Thinks there are 100 mg in a gram
853,Does not know how to check tessellation
854,Divided by 100 rather than multiplied by 100
855,Believes integers can have decimal places
856,"When asked to shade a fraction of a shape, gives the total number of parts rather than the number to be shaded."
857,"When the unknown (e.g. x) in an equation is a denominator, gives the value of 1/x rather than x as the answer"
858,Believes splitting a multiplication using the distributive property is the same as splitting it into factors
859,Believes they can factorise a difference of two squares by placing the constant in both brackets without square rooting
860,Mixes up clockwise and anticlockwise
861,Reads a power as a normal digit
862,Does not understand equivalent ratios
863,Believes inequalities can only include integers
864,Reads 0 on protractor as size of angle when angle is not in usual orientation
865,Does not recognise a unit of mass
866,Believes that the y intercept is where y = 0
867,When finding the area of a parallelogram does not understand which lengths to use
868,Believes a number raised to a power will always give a positive answer
869,Believes multiplying together prime factors that are not shared gives the highest common factor
870,Only counts visible vertices
871,Does not include brackets when attempting to multiply an expression
872,Thinks angles can only be measured when one line is horizontal
873,Believes that we cannot calculate the mean of negative numbers
874,Mistakes the place value column of hundred thousands with millions
875,Believes vertically opposite angles sum to 360 degrees
876,Believes squaring a negative number just changes the sign
877,Does not convert measurements to have the same units before calculating area or volume
878,"Counts on by 1, when asked to count forward/backwards in a step other than 1"
879,Thinks you apply one inverse operation to one term and the other inverse operation to the other term
880,Thinks a higher average means more consistent data
881,adds all given dimensions when calculating area
882,Believes 0 has no square root
883,"Believes mirror line must lie on a grid line, not in between grid lines"
884,"When asked for more, find the total"
885,Thinks they can simplify algebraic fractions by cancelling unlike variables
886,Believes that prime numbers cannot be even
887,"When using interpolation to estimate frequency, assumes half the frequency of the class containing the value will be above/below it, even if it is not the midpoint"
888,Does not understand the relationship between a ratio and fraction
889,"Believes when you plot a sequence, the line always passes through (0, 0)"
890,Thinks they had to give the new amount rather than the total percentage that the original has been increased by.
891,Incorrectly cancels what they believe is a factor in algebraic fractions
892,Believes each vertical line on a box plot represents 1 piece of data
893,"Believes when changing an improper fraction to a mixed number you divide the numerator by 10, regardless of the denominator"
894,Believes expanding a squared expression means writing it as a set of double brackets
895,Believes a line of reflection must be touching the original shape
896,"When adding fractions with identical numerators, leaves the numerator and adds the denominators"
897,Does not recognise an example of the alternate segment theorem
898,Thinks x = 0 is the x axis
899,Does not recognise parallel lines angle rules
900,Believes the constant gives the y-intercept even when a line is not written in the form y = mx + c
901,Finds unit price but doesn't multiply up for number in question
902,Thinks 1 squared is 2
903,"Has increased by the value of the first value, rather than the difference"
904,Has taken the percentage from the original 
905,"Thinks the movement of the top number in a column vector is vertical, and the bottom number is horizontal rather than the other way round"
906,Does not know that sample size affects reliability
907,Does not find a common denominator when adding/subtracting fractions
908,"When adding or subtracting surds, believes the numbers under the root and the numbers in front should both be added or subtracted"
909,Mixes up squaring with dividing by 2
910,Cannot identify the correct side lengths to use when asked to find the area of a face
911,Only multiplies the numerical terms when expanding a bracket
912,Thinks adding the same value to each side makes shapes similar
913,Believes the numerator stays the same when calculating a second pick of the same type without replacement on a tree diagram
914,Finds 10% of an amount rather than the percentage being asked
915,Does not recognise metres as a unit of length
916,Thinks the fraction bar means multiply rather than divide
917,Believes every direct or inverse proportion question uses the formula p=kq
918,Confuses x and y axes
919,Believes the gradient of a speed-time graph is the distance
920,Believes that the cumulative frequency of an interval of grouped data can be used as the cumulative frequency for any value in that interval
921,Reads the wrong scale on the protractor when measuring acute angles
922,Believes we can only take the square root of a perfect square
923,Thinks index notation represents repeated addition rather than repeated multiplication
924,Believes to find the proportion of a pie chart sector you do frequency/sum of other frequencies rather than frequency/overall total
925,Believes the gradients of perpendicular lines are reciprocals of the same sign
926,Believes the number of sides gives the order of rotational symmetry
927,Assumes that opposite angles in a quadrilateral sum to 180 degrees
928,Divides when converting to a larger unit
929,"When using the capture-recapture method of sampling, believes you add the number marked first to the number caught second and add that to the number marked second to get the best estimate of population size"
930,When solving simultaneous equations thinks that identical terms in given equations can be eliminated by either adding or subtracting.
931,Does not understand where to place inputs/ operations/ outputs when drawing a function machine
932,Adds instead of multiplies when calculating total frequency
933,Does not know the meaning of corresponding
934,Thinks the subtraction sign means divide
935,Fails to use the properties of simple shapes to work out missing lengths
936,Thinks the first term in a sequence is the term before the sequence begins (0th term)
937,"When adding or subtracting surds, simplifies the surds correctly but puts the digits in the answer the wrong way round"
938,"Thinks 1 square metre = 100,000 cubic centimetres"
939,Describes position to term rule using term to term rule
940,When writing a function as a function machine confuses the input and the output.
941,Does not recognise that subtracting a larger number from a smaller number will give a negative answer
942,Thinks you need to include the total as well as the individual parts when asked to write a ratio
943,Divides by (n-2) rather than n when finding an interior angle
944,"When dividing involving a power of 10, gives an answer 10 times bigger than it should be"
945,Does not think a number can be a multiple of itself
946,Believes a proportion of a whole is whole/part not part/whole
947,Makes the number negative when asked to find the reciprocal
948,Believes squaring is the same as adding two
949,Confuses midpoint and gradient between two points
950,Thinks there are 5 days in a week
951,Only recognises the positive form of a quadratic graph
952,Adds the index to the number
953,Believes you cannot find the modal category from a pie chart unless given the total frequency
954,"Confuses adding 3 with cubing, in algebra"
955,"When multiplying, treats digits in other columns as if they are units"
956,Thinks that fractions involving a fraction as the denominator can just be read as mixed numbers
957,Believes the mean must be an integer
958,Misunderstands how to calculate the upper bound in subtraction
959,Believes it is impossible to subtract a bigger number from a smaller number
960,Divides by the index
961,Does not spot the difference between a gradual change of gradient and 2 distinct line segments with different constant gradients
962,Thinks 1 cubic metre = 1000 cubic centimetres
963,Thinks there are 50 minutes in 1 hour
964,"When dividing involving a power of 10, gives an answer 10 times smaller than it should be"
965,Adds the numerators when working out a combined probability
966,Gives an answer of 0 when there are no solutions to an equation.
967,"When solving simultaneous equations graphically, only gives one of two solutions"
968,Confuses powers and multiples
969,Believes you can subtract from inside brackets without expanding when solving an equation
970,"In inverse proportion, believes k is the total of the two variables "
971,Believes that adding a negative will increase the value of the original number
972,Does not realise that if the horizontal and vertical measurements of a diagonal line segment switch it remains the same size
973,Finds area of whole circle rather than area of sector
974,Believes multiplying a positive by a negative gives a positive answer
975,"When solving an equation, multiplies instead of dividing "
976,"Thinks a Fibonacci sequence must start with 1, 1"
977,Confuses the sign for parallel lines as being dashes
978,"When completing the square, believes the constant in the bracket is the coefficient of x"
979,Thinks can combine the numerator and denominator after simplifying an algebraic fraction
980,Hasn't lined up the place value columns when writing out the calculation
981,Believes inequalities cannot be combined
982,Calculates perimeter when asked for area
983,"When the dividend is a mixed number and the divisor is an integer, thinks they only divide the fraction by the integer."
984,Writes the numerator of an improper fraction as the number of wholes when converting to a mixed number
985,Believes that repeated percentage change is equivalent to a single change by the sum of the percentages
986,Does not understand that a remainder can be written as a fraction
987,Believes that the order of a worded calculation should be changed to follow BIDMAS 
988,"When converting a percentage to a decimal, just writes all the digits after a decimal point."
989,Does not understand that area under a speed time graph gives distance because distance = speed x time
990,Does not realise you can use equivalent fractions to break fractions up into smaller divisions
991,Believes that when finding area under graph you can use the upper y value rather than average of upper and lower
992,"Thinks they find the length of a line between 2 points by adding coordinates, rather than subtracting"
993,Believes the length of the arms influence the size of the angle
994,"When completing the square in the form (x - a)^2 + b, believes b = a^2 + the original constant"
995,Believes the lowest common multiple is found my multiplying the numbers together
996,Does not know that units of volume are usually cubed
997,Subtracts instead of multiplies
998,"When the final stage of solving a problem is ""variable to a power"" = constant, assume the constant is the answer, without finding the root."
999,Confuses the method of selection with the group selected in statistics
1000,Draws false conclusion from a pie chart
1001,Does not know how to divide a fraction by an integer
1002,Thinks the elevation is the plan view of a shape
1003,"Believes the equation of a vertical line is in the form y = ax, where a is the x intercept"
1004,Thinks that a number in front of a bracket means divide
1005,"Carries out operations from left to right regardless of priority order, unless brackets are used"
1006,Believes the mean is something divided by the number of categories given
1007,Does not connect rotational symmetry to number of sides/vertices
1008,"When dividing an integer by a fraction, thinks they multiply numerator and denominator by the integer"
1009,Does not know the meaning of bisect
1010,Believes the largest number in a set of numbers is always their highest common factor
1011,Does not know the distributive property
1012,Squares when asked to find the square root
1013,Answers as if there are 100 minutes in an hour
1014,Believes the frequency of the midpoint of a group is half the total frequency of the group
1015,"When answering questions regarding adding items to get a new ratio, looks at the difference between the numbers in the original and new ratio rather than finding the size of a part"
1016,Confuses the hundreds and hundred thousands place value columns
1017,Does not understand how to solve linear two step equations
1018,Thinks the fraction 1/n can express sharing n items between any number of people
1019,Believes class width = frequency density
1020,Believes it's not possible to solve simultaneous equations graphically
1021,Believes an outlier is not determined by distance from the mean
1022,Believes you multiply matching bases when carrying out a multiplication
1023,Believes that the complement of a set in a triple Venn consists of the elements that only belong to one other set
1024,When solving an equation thinks they add when in fact they need to multiply
1025,Forgets to include the intersection value when asked for total value of a set in a Venn diagram
1026,Does not reverse the order of operations when finding the input of a function machine
1027,Believes the median is the frequency for the middle category in a table
1028,Multiplies up without finding unit price in proportion question
1029,Does not understand that a line graph shows a relationship between 2 variables
1030,When dividing numbers with the same base divides the base numbers and the powers
1031,Believes raising a negative number to an odd power will give a positive answer
1032,Confuses cube rooting with squaring a number
1033,Does not know that you can have a decimal percentage
1034,believes the complement of a set consists of elements which only belong to one set
1035,"When multiplying a decimal less than 1 by an integer, gives an answer 10 times smaller than it should be"
1036,"Only gives 1 value of x for a given value of y, when reading from a parabolic graph"
1037,Believes time = speed x distance
1038,Thinks reciprocal button raises to a power
1039,Believes finding a percentage of an amount involves adding the percentage to 10% of the amount
1040,Does not measure bearing clockwise from the north line
1041,Does not know a rhombus is a type of parallelogram 
1042,"When dividing a number written in standard form by an integer, thinks you divide the power on the ten rather than the number component."
1043,Mixes up cubes and cuboids
1044,Misremembers the quadratic formula
1045,"Believes reading from a cumulative frequency diagram will give the frequency above a certain value, rather than below"
1046,Does not understand remainders in division
1047,Estimates a measurement on a diagram rather than working it out
1048,"When adding/subtracting fractions, adds/subtracts the denominators and multiplies the numerators"
1049,Misunderstands the process of making a variable the subject of an equation
1050,Thinks there are 10g in a kilogram
1051,"When multiplying by a multiple of 10, gives an answer 10 times bigger than it should be"
1052,Uses length scale factor for volume without cubing
1053,"Believes that when converting ratio to fractions, the denominator is the product of the parts of the ratio"
1054,Performs subtraction in wrong order
1055,Does not notice all changes in a sequence of visual patterns
1056,Chooses an incorrect point in between the shapes when describing a 90 or 270 degree rotation
1057,Finds the unit fraction when asked to find a non-unit fraction of an amount
1058,"Believes that in the nth term of a descending sequence, b is the difference between the term and the positive multiple of n"
1059,Does not know the definition of the range
1060,Thinks positive values in a column vector denote movement left and down (and vice-versa for negative values).
1061,When asked to rotate by 90 degrees rotates by 180 degrees
1062,"When using the capture-recapture method of sampling, believes you divide the number caught second by the number marked second to find the best estimate of population size"
1063,Adds rather than multiplies when asked for a total
1064,Confuses the union and intersection of inequalities
1065,Does not recognise a unit of area in word form
1066,Does not think that the compensation strategy for the multiplication of 2 numbers is valid.
1067,Confuses measures of turn (ie. degrees) and measures of length
1068,Believes the fx column for calculating mean is value + frequency
1069,Assumes an angle is the size that it looks in the (not to scale) diagram
1070,Believes that dividing by 10 gives 1%
1071,Confuses obtuse and acute angles
1072,Multiplies by the index
1073,Believes if you add the same value to all numbers in the dataset the range will change
1074,Multiplies rather than divides
1075,When asked to add fractions uses the method for multiplying fractions instead.
1076,Cancels digits when dividing
1077,Believes all multiples of odd numbers are odd
1078,"Ignores numbers written as words in worded questions, and just calculates using those written in digits"
1079,Believes factors add to give a number
1080,Believes there are 20 minutes in an hour
1081,"When subtracting fractions, divides the numerators"
1082,"When multiplying with negative numbers, assumes any negative sign can be ignored"
1083,Does not know the meaning of uniform cross section
1084,Has removed brackets but not performed the operation
1085,Multiplied the powers rather than added them
1086,Thinks the perimeter of a sector is the same as arc length 
1087,Thinks the interior angles of a polygon add up to 100n
1088,Believes you add the denominators when finding a fraction of another fraction
1089,Cannot identify mutually exclusive events
1090,Doesn't recognise commutativity of addition with negative numbers
1091,Confuses a variable with a formula
1092,Cannot spot a coefficient within a written scenario
1093,Has multiplied the value of the first term by the the term being asked
1094,Believes when frequencies multiply by a scale factor in a table the mean also multiplies by that scale factor
1095,Believes that vectors of different magnitudes can be equal.
1096,Thinks there are 10cl in a millilitre
1097,Is not able to identify a situation where Pythagoras' Theorem is needed
1098,Finds the mean instead of the range
1099,Believes gradient at a point = y coordinate/x coordinate
1100,Believes direct proportion means a 1:1 ratio
1101,Believes stratified samples should be evenly split
1102,Believes that addition should be used when finding the difference between two values on a time series graph
1103,"When reading integers on a number line, assumes each dash is 2"
1104,Simplifies integers when simplifying a mixed number
1105,Rounds every number to the same degree instead of rounding to significant figures when estimating 
1106,Divides 360 degrees by sum of sides rather than given amount of angles
1107,Converted hours to minutes instead of hours to seconds
1108,"Believes  c, in y=mx+c, will be the y value of the coordinate given despite the x coordinate not being 0."
1109,"On a cumulative frequency diagram, believes the total frequency is the top of the frequency axis rather than the top of the curve"
1110,Does not think that -n + n = 0
1111,Does not understand the term 'linear'
1112,"When using Pythagoras' theorem to find a missing side, thinks you multiply the sides together then square root"
1113,"When substituting a value into a non-linear term with a coefficient, multiplies by the coefficient then calculates the power."
1114,Believes they can change the subject of a formula just by swapping two letters
1115,Identifies the term-to-term rule rather than the next term in a sequence
1116,Multiplies coefficients and letters separately and writes as an addition
1117,"When finding a missing length on similar shapes, just find the scale factor"
1118,Thinks the smallest bar in a bar chart is the mode
1119,Does not interpret the correct order of operations in a fraction when there is an addition on the numerator
1120,Thinks there are 100 ml in a litre
1121,Believes biased selection methods can be random
1122,"When enlarging a shape, thinks the scale factor divides the movement from the centre of enlargement to a vertex rather than multiplies"
1123,Subtracts rather than dividing to find unit price
1124,When ordering numbers in standard form just looks at the decimal without multiplying by a power of 10
1125,Multiplies rather than adds when answering worded problems
1126,Believes the mean is always representative
1127,Believes the variable should remain in place after substituting its value
1128,Does not know how to interpret a fraction worded problem 
1129,"When finding a missing part in a ratio, divides rather than multiplies"
1130,Does not know how to solve linear equations involving fractions
1131,"When adding fractions, multiplies the numerators"
1132,Does not understand that a probability of 1 represents something that is certain
1133,Does not recognise a quadratic graph
1134,"When solving an equation, adds instead of dividing"
1135,"When subtracting a negative number, adds the absolute values and then writes the answer with a negative sign"
1136,"Believes that a general trend of an increase or decrease over time, on a statistical diagram, means that the slope must be in the same direction for the whole time period"
1137,"When squaring a variable with a power, thinks that the power is squared rather than doubled. "
1138,Subtracts the smallest digit from the largest digit
1139,Confuses the lines y=x and y=-x
1140,"When simplifying surds, adds the number on the outside of the surd to the number under the surd"
1141,Believes all grouped frequency table need a midpoint column
1142,"When converting from an improper fraction to a mixed number, adds on the part left to make the whole, rather than subtracting it"
1143,Mixes up the terms for the parts of a fraction
1144,"Believes the equation for a horizontal line is in the form xy = a, where a is the y intercept"
1145,"When adding column vectors, multiplies rather than adds"
1146,"When solving simultaneous equations, believes the terms must be of opposite signs in order to be eliminated."
1147,"When solving a 'more than' problem, believes the first step is to halve the total rather than setting up an equation to help solve"
1148,Uses an incorrect side length when splitting a composite shape into parts
1149,Believes perpendicular is the term used to describe two lines that are parallel
1150,Does not believe you can scale up a proportional statement
1151,Believes they can round when converting units
1152,"When dividing fractions, does the reciprocal of the first fraction instead of the second"
1153,Believes they can ignore the coefficient when expanding double brackets 
1154,Believes midpoints are plotted on histograms
1155,Starts at the wrong end of the dividend when dividing
1156,"When dividing a fraction by an integer, divides the denominator by the integer"
1157,Rounds every number up when estimating
1158,Believes you can go above an amount of money when finding how much of something you can buy
1159,"When comparing non like surds, does not square the surds"
1160,Thinks you can find missing values in a given table by treating the row as a sequence of consecutive numbers
1161,Thinks 1 square metre = 10 square centimetres
1162,Mixes up the inequality signs in an error interval
1163,Does not understand you can round to numbers other than powers of 10
1164,Believes linear sequences cannot include fractions
1165,Rounds to the nearest integer rather than one significant figure
1166,"When subtracting a fraction from a mixed number, assumes they subtract the numerator from the integer and the numerator of the mixed number"
1167,Does not recognise millimetres as a unit of length
1168,Believes both the x and y co-ordinates of the x-intercept of a quadratic are derived from the constants in the factorised form.
1169,Does not know that cubic means the same as cubed in units
1170,Confuses the order of the digits in stick multiplication
1171,"When solving a problem using written division (bus-stop method), puts the dividend in the wrong place"
1172,Thinks any 2 values multiplied together can be denoted with a squared symbol
1173,Uses the numerator of an improper fraction as the denominator of the equivalent mixed number
1174,Believes the mean from grouped data is the sum of the midpoints divided by something
1175,Uses base instead of height as h in area of a trapezium formula
1176,Confuses isosceles and equilateral triangles
1177,Identifies the biggest value for the range
1178,Does not count both edges when turning a corner when counting perimeter
1179,Forgets to multiply up for the correct time frame in a worded question
1180,Does not know the properties of a rectangle
1181,When solving an equation thinks they divide when in fact they need to multiply
1182,"Believes only the decimal places with dots above them recur, not the whole string"
1183,Does not include units in answer.
1184,Identifies the wrong part of a fraction model as the whole
1185,"When rationalising the denominator, believes only the numerator or the denominator needs to be multiplied by the surd"
1186,"Believes when identifying the mode you look at all values, not just frequencies, for the highest number"
1187,Does not realise that gradient represents rate of change
1188,Reads the wrong scale on the protractor when measuring obtuse angles
1189,Does not understand that adding on to a multiple can give you the next multiple
1190,"When solving an equation, subtracts instead of dividing"
1191,Believes that the sign changes when factorising an expression into single brackets
1192,Believes all triangles have a right angle
1193,Multiplies up without finding unit amount
1194,Forgets to halve when finding the missing base angles of an isosceles
1195,Gives the change in value when asked for the percentage change
1196,"When solving an equation where there is a negative sign in front of the variable at the final stage, believes they can ignore it and treat it as if it's positive"
1197,Confuses frequency and frequency density
1198,Does not recognise that a linear sequence must increase or decrease by same amount
1199,Thinks that co-interior angles can lie on opposite sides of a transversal 
1200,Finds the IQR rather than the range
1201,Finds the arc length instead of the area of the sector 
1202,Does not understand that an acute angle is between 0 and 90 degrees
1203,Believes that to find an angle for a pie chart sector you divide the total frequency by 360 and multiply by its frequency
1204,Multiplied by 100 rather than divided by 100
1205,Thinks a variable next to a number means addition rather than multiplication
1206,Does not understand how to maintain equivalence in fractions
1207,Does not realize we can write a division as a fraction
1208,Believes the subtraction button writes a fraction
1209,Believes a mixed number can contain an improper fraction
1210,Does not recognise millilitres as a unit of volume
1211,Believes number of squares in a bar gives frequency on a histogram
1212,Thinks a greater number of shaded parts represents a greater fraction
1213,"When finding the differences between terms in a sequence, believes they can do so from right to left "
1214,"When solving an equation, uses the same operation rather than the inverse."
1215,"Includes a data point with the value, when asked to find the number of data points above a value"
1216,Believes a curve can show a constant rate
1217,Assumes the perpendicular height of a triangle bisects the base
1218,Multiplies the numerators when adding fractions with a common denominator
1219,Gives the value for the wrong variable when answering a simultaneous equation question
1220,Does not include zero when counting over zero
1221,Converts a decimal to a fraction by writing 1 over the digits of the decimal
1222,Forgets the denominator in probability
1223,Uses numerators to convert fractions to ratio despite different denominators
1224,Does not understand the diagram given in the question
1225,Believes you don't need to numerically order the data before calculating the median
1226,Does not recognise the distributive property
1227,Forgets that a number without an indice is to the power of 1 
1228,Believes sets are the same if the elements within them have a shared property
1229,Confuses chord and circumference
1230,Believes you cube the conversion factor when dealing with squared units
1231,Does not know that 7 and -7 are different
1232,"Thinks the longest bar has the highest frequency on a pictogram, even if the symbols aren't evenly spaced"
1233,"Believes that when eliminating a variable, if the signs of the terms with matching coefficients are the same, we add the equations."
1234,Believes f(x + a) translates the function up a units
1235,"When completing the square in the form (x - a)^2 + b, believes b is the difference between a and the constant of the original quadratic"
1236,Thinks the plan view is taken from an angle to include aspects of the side view and plan
1237,Believes that 1 part of a bar model will always have a value of 1
1238,Does not realise the lines at an intersection have to be straight in order to show vertically opposite angles
1239,Believes a cubic equation will have a quadratic graph
1240,Thinks the first term of a sequence must be 1
1241,Subtracts instead of divides when division is written as a fraction
1242,Does not recognise the similar shape as the shape has been rotated and the scale factor is less than 1
1243,Believes when given a fraction and an amount the question must be to find the fraction of the amount. 
1244,The student does not understand the place value of 3-digit numbers
1245,Believes a number written in standard form with a negative power creates a larger number than that with a positive power
1246,"When adding fractions, uses addition of the denominators as a common denominator"
1247,Assumes you cannot use the fact that multiplication is commutative when simplifying an algebraic term. 
1248,Rounds to the wrong degree of accuracy (rounds too little)
1249,"Believes 'given that a, what is the probability of b?' means 'given that b, what is the probability of a?'"
1250,Correct scale but wrong value on protractor reading.
1251,"Correctly finds the reciprocal of a number, but believes it should be opposite in sign to the original number."
1252,Doesn't know the area of a triangle formula
1253,"Thinks 1 cubic metre = 100,000 cubic centimetres"
1254,"Believes that if there are two unknowns in an equation, all integers must be possible solutions"
1255,Adds rather than multiplies for combined probabilities
1256,Believes the difference of 2 squares method of factorising also works for the addition of 2 squares
1257,Assumes a 1/4 of a whole is 25
1258,"When calculating a scale factor, thinks they need to subtract rather than divide."
1259,Believes division is sometimes commutative 
1260,Gives number of sections of pie chart rather than the amount it represents
1261,Thinks if you multiply a fraction by itself you get a whole
1262,"Believes that they can fully factorise an expression by taking out any common factor, not just the HCF"
1263,Does not understand the definition of a rational number when it is a surd
1264,Finds the median instead of the mode
1265,"When describing a translation, goes from the image to the original"
1266,"When solving simultaneous equations, thinks they can ignore one of the variables"
1267,Identifies a number as a common factor but doesn't identify a letter as a common factor
1268,"When solving simultaneous equations, thinks you only transform the algebraic terms, rather than the whole equation."
1269,Confuses left and right
1270,Divides by 10 instead of 100 when converting a percentage to a decimal 
1271,Confuses chord and radius
1272,Gives a rounded whole number instead of a decimal
1273,Thinks they start on the left when doing long multiplication 
1274,Subtracts simultaneous equations when addition is required
1275,Does not relate integers and fractions
1276,"Believes that the y intercept is (0, y) where y is any y coordinate on the line"
1277,"In algebra, thinks it's ok to write (for example) 0x rather than just 0"
1278,Believes the subscript in iteration notation is the value to be substituted
1279,Confuses right angle triangles and equilateral triangles
1280,"When multiplying fractions, multiplies the numerator and adds the denominator"
1281,Does not understand that similar shapes and enlarged shapes will have the same size angles as the original
1282,When subtracting a negative thinks the answer must be negative 
1283,Believes a polygon can have curved sides
1284,Thinks only like terms can be multiplied
1285,Believes a vertical line has equation y=
1286,believes the complement of a set consists of anything that is not just in that set
1287,Believes if you changed all values by the same proportion the range would not change
1288,Believes the intersection on a Venn diagram represents the total of one set
1289,Does not understand that the area of an enlarged shape is the area of the original multiplied by the square of the scale factor of the lengths.
1290,Reads the wrong scale on the protractor when measuring reflex angles
1291,"Thinks they solve mx + c = a, by substituting in the value of a for x and therefore calculating ma + c"
1292,Does not realise that the area of a triangle is half the area of the contatining rectangle
1293,Identifies how much repeated use of the term-to-term rule changes a number but does not apply to the sequence
1294,"When solving an equation where there is a negative sign in front of the variable and its equivalent value, assumes the variable has a negative value"
1295,"When finding part of the area of a shape, subtracts from the side length before multiplying but still subtracts the unshaded area too."
1296,Believes there are 90 degrees in a full turn
1297,Believes you keep the divisor unchanged when dividing by a fraction
1298,Thinks multiple letters can be subtracted at once in Roman numerals
1299,Ignores the zero when multiplying
1300,"In direct and inverse proportion, forgets to find the value of k, and carries out calculations as though k were 1"
1301,"When subtracting a surd from an integer, just subtracts the number under the surd from the integer"
1302,"In ratio question where the difference between the sides is given, uses that as one part without dividing"
1303,Believes y=-f(x) is a reflection in y=-x
1304,Confuses lines of the form y = a and y= ax
1305,believes that a fraction with the largest denominator will be smallest regardless of the numerator
1306,Finds the median instead of the range
1307,Finds the degrees for 1 person rather than the required number of people for a pie chart sector
1308,"Thinks tables of values are symmetrical about (0,0)"
1309,Believes the numerator is the top of a fraction 
1310,"When interpreting a pictogram, thinks each symbol stands for 1"
1311,"
Has incorrect belief about the meaning of ""formula"""
1312,Believes f(x) + a translates the function right a units
1313,Found the percentage but forgot to add to 100%
1314,Only uses the closest angle to the unknown when using the angles in a straight line relationship
1315,Rounds to the wrong degree of accuracy (nearest ten rather than nearest whole number)
1316,Does not understand that the numerator and denominator of fractions represent groupings and have the same order of priority as brackets
1317,Identifies wrong place value column after decimal point
1318,Does not understand that shapes are congruent if they have the same size and shape
1319,Adds instead of multiples
1320,Multiplied by 10 rather than 100
1321,Thinks angles which look the same on diagram will be equal
1322,Does not know how many days are in a leap year
1323,"When multiplying surds in the form ✓a × b✓c, believes the answer is  ✓(abc)"
1324,"When solving an equation, believes that when they get to ax = b, b is the solution"
1325,Has found area of triangle rather than area of square
1326,Does not know the meaning of square sign for right angle
1327,Does not know the meaning of attribute data
1328,"When reading off from the left side of a back to back stem and leaf, mixes up the value of the leaf and the stem"
1329,Believes it is not possible to calculate the frequency for a pie chart sector despite being given enough information to do so
1330,Believes they can still have the variable on both sides when making it the subject
1331,Believes angles in a quadrilateral sum to 450 degrees
1332,"When adding, just writes the digit to the right of the number without considering place value"
1333,Halves base but still divides product by 2 when finding area of a triangle
1334,Tries to multiply within place value columns during column multiplication
1335,Believes volume of a cuboid is the area of the three unique faces multiplied together
1336,Does not realise addition is commutative
1337,Does not understand the phrase to the power of
1338,Does not understand the effect of consecutive operations
1339,Calculated the hours and minutes separately
1340,Misunderstands dashed lines as being the midpoint
1341,Multiplies instead of divides by 100 when converting a percentage to a decimal
1342,"When adding decimals, does not keep place value the same as the original digits"
1343,"When substituting into an algebraic term, replaces variables with numbers without multiplying."
1344,Estimates angle without using knowledge of degrees in quarter turns
1345,Inserts brackets but not changed order of operation
1346,Mixes up squaring with repeating a digit
1347,Believes a circle achieves what a perpendicular bisector does
1348,Does not recognise a parallelogram
1349,Does not include negative numbers when calculating a range
1350,"When simplifying a ratio, divides one side of the ratio but multiplies the other side."
1351,Does not know the meaning of congruent
1352,Believes cumulative frequency is plotted at the midpoint of the class
1353,Believes two odd numbers multiply to give an even number
1354,Does not know how to calculate the position of a term in a sequence
1355,Removes a zero from within the digits when rounding
1356,Confuses the use of LCM and HCF in real life examples 
1357,Thinks only labelled dimensions need to be included when calculating the perimeter
1358,Believes you can have decimals in a simplified fraction
1359,Does not know how to round up when a decimal place value column contains a 9
1360,"When solving an equation, multiplies instead of adding"
1361,Does not recognise that addition is the inverse operation of subtraction
1362,Believes that the angle on a pie chart is the frequency multiplied by 10
1363,Uses 2 letters to describe an angle
1364,Believes the mode is the frequency rather than the value/group
1365,"When ordering integers, orders from the digits at the end of the number instead of the digits at the start"
1366,Subtracts instead of multiplies when using grid method
1367,Thinks a dashed line marking a region means the line is included
1368,Confuses parallel and transversal
1369,Halves the radius to find the diameter
1370,Does not believe a shape can have two correct names e.g. rectangle and parallelogram
1371,"When drawing bar diagram for ratio, shows the total as the difference between parts"
1372,Ordered from largest to smallest
1373,Does not recognise a unit of time
1374,"When multiplying fractions, multiplies the denominator"
1375,Confuses the radius and theta when working with sectors 
1376,Thinks that a larger shaded area represents a larger fraction
1377,Square roots when asked for second multiple
1378,"When solving a problem using written division (bus-stop method), carries the wrong digit"
1379,Rounds down instead of up
1380,"When collecting like terms, assigns positivity or negativity incorrectly."
1381,Believes the gradient is where the line intersects the y axis
1382,"When given two similar objects and asked to find the length scale factor, believes the length scale factor is the area scale factor"
1383,"When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit"
1384,"When reading decimals on a number line, assumes each dash is 0.5"
1385,Struggles to draw 3D shapes on isometric paper
1386,Confuses the method for finding the gradient and length of a line segment
1387,Does not understand the effect of consecutive subtractions
1388,Does not understand the term quadratic
1389,Mistakes lines as parallel
1390,Believes having the gradient and y-intercept is not enough information to write an equation for a straight line
1391,Does not know how to find the y intercept when given two other sets of coordinates that lie on a straight line
1392,Does not include brackets when required
1393,Does not know that a single letter labels a vertex
1394,Identifies the first term rather than the next term in a sequence
1395,"When calculating volume expressed in cubes, counts the visible cubes only"
1396,Finds a percentage when asked for a fraction
1397,Believes point will move diagonally when reflecting in a horizontal or vertical line
1398,Divided by 100 rather than 1000
1399,Fails to identify any rotational symmetry 
1400,Believes dividing a negative by a negative gives a negative answer
1401,Believes the sin graph relates to the cos function
1402,Rounds down instead of up when next digit is 5
1403,"When two digits multiply to 10 or more during a multiplication problem, does not add carried value to the preceding digit"
1404,"Believes that when multiplying an integer by a decimal greater than 1, you multiply by the integer component of the decimal but add on the decimal component multiplied by 10."
1405,Cannot accurately estimate capacity
1406,Does not recognise that interior and exterior angles are supplementary
1407,Confuses histograms with bar charts
1408,Does not realise that adding a larger number gives a larger answer
1409,Confuses 'and' with 'or' in probability
1410,Believes to find the next traingle number you add the previous two numbers together i.e. Fibonacci
1411,Describes term to term rules using position to term rules
1412,Believes y=f(-x) is a reflection in y=x
1413,Assumes the negative sign in a power has no meaning
1414,Believes instant change of velocity is possible. 
1415,Assumes every dash on a scale represents an increase of 1
1416,Adds instead of multiplies
1417,When solving an equation forgets to eliminate the coefficient in front of the variable in the last step
1418,"When the dividend is a mixed number and the divisor is an integer, thinks they only perform the calculation with the integers."
1419,Believes any lines that cross are perpendicular
1420,"Believes that when eliminating a variable, regardless of the signs of the terms with matching coefficients, we subtract the equations"
1421,"When factorising into double brackets, finds the sum of two values which give the non variable term in the expression rather than the product"
1422,Does not recognise km as a unit of length 
1423,Struggles to estimate 3D volume
1424,Thinks numbers greater than 1 cannot be converted into fractions
1425,Believes two lines of the same length are parallel
1426,Thinks rule for calculating interior angles only applies to regular polygons
1427,Believes cube numbers are just multiples of 3
1428,"Does not understand the meaning of ""value"""
1429,Believes equivalent fractions are formed with addition not multiplication
1430,Does not recognise that the intersection of a Venn diagram represents those belonging to both sets
1431,"Believes you add the whole to the numerators, ignoring denominators, when adding a mixed number to a proper fraction with the same denominator."
1432,"When factorising into double brackets, believes the sum of the two values in the brackets equals bx rather than b"
1433,"When factorising into single brackets, only factors out the numerical values and forgets to factorise possible variables"
1434,Believes any adjacent angles sum to 180 degrees
1435,When subtracting from a negative thinks the answer must be positive
1436,Confuses cubic and exponential graphs
1437,Assumes the fractional index denotes the root and power the other way around
1438,Believes division of surds always results in an integer
1439,"When solving simultaneous equations, assumes every variable has equal value."
1440,Believes 180 degrees is an obtuse angle
1441,"Thinks decimal place value works the same as integer place value, ones will follow tenths"
1442,Think cross section of a prism is the biggest face
1443,"Thinks that when raising a variable with a coefficient to a power, only the coefficient is affected by the power"
1444,Does not understand that the negative outside the bracket means answer will be negative
1445,Believes you find the angle for a pie chart sector by doing its frequency multiplied by total frequency
1446,"When calculating perimeter, only adds two sides"
1447,Writes the remainder as the digit after the decimal point
1448,Believes the solutions of a quadratic equation are the negative of the absolute values of the constants in the factorised form
1449,Believes rounding numbers down would give an overestimate
1450,Does not understand how to apply sohcahtoa
1451,Assumes that the square root is the only type of root
1452,"When converting ratio to fractions, puts the other side of the ratio as the denominator rather than the total"
1453,"Subtracts from left to right, ignoring the word ‘from’"
1454,Believes they can eliminate a variable without making the coefficients the same in simultaneous equations
1455,Calculates circumference when asked for area
1456,Believes linear graphs can be curved
1457,Does not understand the interpretation of the fx column in a frequency table
1458,Believes 0 multiplied by a number gives the number
1459,Does not recognise that a surd will simplify to a whole number and not longer be a surd if the number under the surd is a square number
1460,Identifies second decimal place value when asked for the second significant figure
1461,Believes parallel lines have gradients that multiply to give -1
1462,Believes height represents frequency on a histogram
1463,"When adding fractions, adds the numerators and multiplies the denominators"
1464,"When solving simultaneous equations graphically, they think the solutions are the y-intercepts"
1465,Uses outcome as numerator in probability 
1466,Thinks there are 100kg in a ton
1467,Believes the power button writes a fraction
1468,Orders integers based on first digits without taking into account place value
1469,Does not recognise when simplifying a fraction may be helpful
1470,"Does not know the meaning of the word ""product"""
1471,Mixes up colder and hotter when comparing temperatures
1472,"Believes that they can reverse a percentage decrease by dividing by the decimal multiplier of the percentage itself, not the multiplier for the percentage decrease."
1473,Believes adding two numbers finds their lowest common multiple
1474,Forgets to add on the starting value when identifying a position on a number line
1475,Believes y=f(-x) is reflection in the x-axis
1476,Thinks 1 square metre = 1000 square centimetres
1477,"When using a scale factor greater than 1, thinks you multiply by the scale factor to go from the larger to the smaller shape."
1478,"When expressing one quantity (x) as a fraction of another (y), believes the answer is 1/x."
1479,Thinks you multiply by the numerator and add the denominator when converting a mixed number to an improper fraction
1480,Does not recognise the notation for parallel sides
1481,"When describing a translation, miscounts when crossing an axis"
1482,Believes you only need to multiply the integer by the integer in a integer x decimal calculation
1483,Believes vertically opposite angles sum to 90 degrees
1484,Thinks 1l = 10 000 cubic centimetres
1485,"When given an error interval for a decimal that ends in a zero, thinks you give the error interval as if the zero was not present (e.g. 1dp rather than 2dp)"
1486,"When using the capture-recapture method for sampling, believes you subtract the number marked second from the number caught second to find the best estimate of population size"
1487,Believes you can square root a negative number
1488,Confuses negative and positive coordinates when working with graphs in four quadrants
1489,"Believes an outlier is the smallest value in a data set, even if this value is close to the mean"
1490,Writes fraction rather than fraction of amount
1491,Thinks there are 100kg in a tonne
1492,Believes the whole and remainder are the other way when changing an improper fraction to a mixed number
1493,Thinks the positive and negative terms in a sequence will have the same absolute values
1494,Believes 0 is not a real solution to an equation
1495,Thinks the fraction 1/n can express sharing any number of items between n people
1496,Ignores grouping within a fraction and carries out the division first
1497,Thinks the plan view is taken from an angle to include aspects of the side view
1498,"Does not understand that a scale factor of enlargement greater than -1, will create a larger image on the other side of the centre of enlargement from the original"
1499,"Believes that in y = mx+c, c is the gradient"
1500,"When calculating a scale factor, thinks the division is the other way around."
1501,Multiplied the base numbers
1502,"When calculating the group width of a group from a grouped frequency table, believes this is found by midpoint multiplied by frequency"
1503,"When drawing a histogram, thinks you plot group midpoint on the horizontal axis"
1504,"When multiplying surds, adds the numbers under the roots"
1505,Thinks co-interior angles are equal
1506,Believes transforming some terms in simultaneous equations is sufficient
1507,Carries out operations from left to right regardless of priority order
1508,Assumes the item has not been replaced in a probability question where it has actually been replaced
1509,Does not realise that all regular shapes of a certain type will be similar
1510,Believes subtraction is commutative 
1511,Does not understand that the probability of something not happening is 1 minus the probability of it happening
1512,"When sketching graphs of factorised quadratics, does not see that the negative of the non variable terms in the brackets give the x intercepts or the roots of the graph."
1513,Does not know the meaning of perpendicular
1514,Adds instead of subtracts
1515,"When asked to take off a fraction of an amount, subtracts the fraction itself"
1516,Performs addition ahead of any other operation
1517,Finds unit amount but doesn't multiply up
1518,Mixes up smallest and largest when ordering decimals
1519,Assumes that a graph always starts at the origin
1520,Does not recognise litres as a unit of volume
1521,"Thinks that scale factors, other than one, can leave the dimensions of shapes unchanged"
1522,Believes the mean is total frequency divided by sum of categories given
1523,Does not know how to say a fraction
1524,Believes adding b to any integer gives a multiple of b
1525,Confuses written 'teen' numbers with their corresponding multiples of 10
1526,Believes that they only need to write non-zero digits when giving a number in digits
1527,Does not know how to find missing lengths in a composite shape
1528,Does not know the meaning of alternate
1529,Rounds to the wrong degree of accuracy (significant figures rather than decimal places)
1530,Believes a steeper downwards line on a graph means a slower decrease
1531,Believes you plot frequency rather than cumulative frequency on a cumulative frequency diagram
1532,Forgets to include values outside of the Venn diagram when finding the total
1533,When adding powers of 10 adds onto the wrong column
1534,Thinks that doubling and then doubling again is not the same as multiplying by 4
1535,"Believes that when factorising a quadratic, they can choose any two numbers that multiply to give the constant"
1536,Divides length of original by length of image rather finding length of image divided by length of original to find an enlargement scale factor.
1537,"Believes that in completed square form, the x co-ordinate of the turning point has the same sign as the constant in the brackets."
1538,Does not take into account the whole amount when using a bar model to find a fraction
1539,Does not consider that all three angles in a triangle sum to 180 degrees
1540,Does not know how to simplify algebraic fractions
1541,Believes reflection in y = -x changes sign of y coordinate only
1542,Believes that a fraction means dividing the denominator by the numerator
1543,Does not realise that a pair of coordinates can be used to find missing parts of an equation
1544,Thinks a variable next to a number means write the digits together
1545,Believes you find the surface area of a prism by finding the total area of the unique faces
1546,Believes the horizontal axis on a cumulative frequency diagram is labelled upper bound
1547,Has forgotten to convert cm to m
1548,Thinks that a unit fraction can be simplified further
1549,"When asked to multiply fractions, uses the method for adding instead"
1550,Believes interior angles are outside a shape
1551,Does the reciprocal of both fractions when dividing fractions
1552,"Believes term to term rule is applied to position number, not previous term"
1553,Thinks that we can use O as zero for place value in Roman numerals
1554,Does not know how to identify common factors from algebraic terms
1555,Believes that we cannot calculate the median of a dataset that contains negative numbers
1556,Writes digits in the order of the pictorial representation rather than using place value columns
1557,Has an incorrect assumption about the definition of a reciprocal
1558,Believes dividing a positive by a negative gives a positive answer
1559,Believes a downward slope on a speed-time graph shows positive acceleration
1560,Mistakes the number of rows for the total frequency in a frequency table
1561,Believes the mean is total frequency divided by something
1562,"When substituting into an algebraic term, believes they can disregard the coefficient"
1563,Thinks the order of events does not matter in a question about combined probability with no replacement
1564,Does not recognise time as a variable from a worded scenario
1565,Miscounts the area of a shape when there are half squares
1566,Adds or subtracts from numerator first when solving an equation with a fraction
1567,Does not recognise suitable statistical diagrams for comparing results over time
1568,Includes the x variable when giving the equation of a horizontal line
1569,Uses term-to-term rule as numerical part of nth term rule
1570,Does not understand the 3-letter convention for labelling angles
1571,When writing standard form does not give the correct power of ten
1572,Translates rather than reflects across a line of symmetry
1573,When scaling the perimeter multiplies the number of sides by the scale factor
1574,Struggles to visualise 2D triangles in a cuboid
1575,Includes too many possibilities when calculating a combined event in probability
1576,Divides rather than multiplies in a related calculation questions
1577,Adds instead of multiplies when using grid method
1578,"When dividing a fraction by an integer, subtracts the integer from the denominator"
1579,Does not realise that in standard form the decimal we use must be between 1 and 10
1580,"When drawing a cumulative frequency diagram, thinks you plot the frequency on the horizontal axis"
1581,Thinks that two side views are interchangeable
1582,Thinks terms in linear sequence are in direct proportion
1583,Does not recognise the origin as the starting point for coordinates
1584,Believes if a point is reflected in the line y=b then the y coordinate of the point will become 'b'
1585,Believes distance = speed/time
1586,"When asked to read a value from a graph, thinks they give the corresponding value on the other axis, rather than reading from the graph"
1587,when reading a dash on a number line counts 1 dash too few when working out the divisions
1588,Thinks only angles on parallel lines can be alternate
1589,Thinks the division sign means to subtract
1590,Believes any two inequalities can be combined into a double inequality
1591,"Rounds to the nearest hundredth, rather than one significant figure"
1592,Thinks the number of items give the number of different possible arrangements rather than using the product rule for counting
1593,"When simplifying an algebraic fraction, only looks for number factors"
1594,Believes the proportion for a pie chart sector is equal to the frequency
1595,Believes the first multiple of a is 2a
1596,Has found the total as a percentage of the amount being asked
1597,Believes multiplying two negatives gives a negative answer
1598,Believes the solution to an equation with matching coefficients of variables on both sides will always be 0
1599,Adds rather than divides when answering worded problems
1600,Thinks a lower average means the data is more consistent
1601,Does not understand that you can have percentages greater than 100%
1602,Believes the sum of change in x and change in y gives the distance between points
1603,Confuses displacement-time graphs with velocity-time graphs
1604,Thinks there are 10 centimetres in 1 mm.
1605,"When rounding up from a 9, does not add one on to the digit to the left"
1606,Believes the coefficent of x in an expanded quadratic comes from multiplying the two numbers in the brackets
1607,Believes the gradient of perpendicular lines just have opposite signs
1608,Believes parts of a 3D diagram that look straight class as edges
1609,Believes the decimal point button writes a fraction
1610,Misunderstands the concept of common factors in algebra
1611,Does not understand that coordinates can be decimals
1612,Confuses the shaded and unshaded regions on an inequality diagram
1613,Believes constructing a triangle with given SAS requires a compass
1614,Believes factors of algebraic terms/expressions will only be numbers
1615,Does not know the symbol for proportionality 
1616,Fails to consider all possible outcomes
1617,Believes a reciprocal equation will have a linear graph
1618,Mixes up cubing and multiplying by 3
1619,"When dividing a decimal by a whole number, ignores decimal point and just divides the digits"
1620,Believes zero cannot be raised to a power
1621,"When dividing a fraction by an integer, multiplies both the numerator and denominator by the integer"
1622,Divides by 1000 instead of 100 when converting a percentage to a decimal
1623,"When asked for the mean of a list of data, does not count any zeros in the data when working out what to divide by"
1624,Multiplies the number of whole units by the numerator when converting from a mixed number to an improper fraction
1625,Uses difference as index instead of coefficient in nth term rule
1626,Has partitioned the digits when doing long multiplication
1627,Believes ratios can be combined without equalizing common terms
1628,"When multiplying involving a multiple of 10, gives an answer 10 times smaller than it should be"
1629,writes the remainder as the divisor divided by 10
1630,Does not realize we can simplify a term that involves powers
1631,When asked for a specific term in a sequence gives the term after
1632,"Believes a decimal with one significant figure is a multiple of 10 when converted to a percentage, regardless of place value"
1633,When asked to rotate by 180 degrees rotates by 90 degrees
1634,"When performing mental multiplication, multiplies accurately by a multiple of 10 but then does not know how to adjust their answer "
1635,Believes gradient is the difference between the change in x and the change in y
1636,Believes nth term rule can be given in words
1637,Has used the decimal point to separate numerator and denominator
1638,Counts repeated factors as two separate factors
1639,Believes adding two negatives gives a positive answer
1640,Believes the centre of rotation is always the origin
1641,"When collecting like terms, only simplifies when there is an addition"
1642,"When adding roots, adds the numbers under the roots"
1643,"Believes that when increasing by a percentage over 100, they do not need to add an extra 1 to the decimal multiplier for the original amount"
1644,Confuses collecting like terms with multiplication
1645,Thinks there are 10ml in a litre
1646,"In ratio question where one side of ratio is given, uses that as one part in ratio without dividing"
1647,Believes that numbers are read aloud digit by digit 
1648,Believes dividing two positives will give a negative answer
1649,Believes that all recurring decimals can be converted to a fraction by writing the digits of the decimal over 9
1650,Only includes full hours when measuring time in minutes
1651,Multiplies when converting to a larger unit
1652,Thinks there are 100mm in a centimetre
1653,Misunderstands how to adjust proportions for different sample sizes in stratified sampling
1654,Believes y=f(-x) is a reflection in y=-x
1655,"When adding fractions, changes to common denominator but leaves numerators the same"
1656,Believes that one point is enough to specify a line
1657,Doubles the diameter when finding the radius
1658,Does not link Pythagoras Theorem to finding distance between two points
1659,Finds one part of a ratio but doesn't multiply that by the number of parts needed
1660,"When using inequality notation, thinks ""greater than/less than or equal to"" symbols are instead the ""greater than/less than"" symbols and vice versa"
1661,Confuses circumference and diameter
1662,Does not know the y intercept is where the x coordinate is 0
1663,Thinks halving is the same as multiplying by 2
1664,Mixes up squaring and halving
1665,Believes when frequencies multiply by a scale factor in a table the median also multiplies by that scale factor
1666,"When factorising into single brackets, factorises the first term correctly but subtracts the number outside the bracket with the second term in the expression to find the second term in the bracket"
1667,When comparing unit fractions believes that fractions with larger denominators are greater in size.
1668,Calculates area when asked for perimeter
1669,"In 3 letter angle notation, gives a wider angle that contains the shaded angle"
1670,Does not realise that multiplication can be broken down into factors
1671,Does not know how to find area by counting squares on a grid
1672,"Confuses the order of operations, believes addition comes before multiplication "
1673,Multiplied by 1000 instead of 100
1674,Believes distance is the area under the graph on a displacement time graph
1675,Changes wrong place value column when rounding
1676,"When adding or subtracting surds, does not simplify the surd before adding the numbers in front of the surd"
1677,"Thinks the range is just the first value subtracted from the last value, without ordering"
1678,Confuses perimeter and area
1679,Uses addition instead of the associative property of multiplication
1680,Does not realize we can omit the multiplication symbol in algebraic expressions
1681,Assumes grouped data is evenly distributed within each group
1682,Confuses inequality symbols with equality
1683,Thinks the length of the hypotenuse is the sum of the two shorter sides
1684,"When finding the difference between two marks on a scale, counts lines instead of gaps"
1685,Confuses angle of a sector with the diameter
1686,Confuses diameter and radius
1687,Gives one fewer order of rotational symmetry than there is
1688,Believes a line showing a constant rate of increase corresponds to a non-prism shape
1689,Believes the largest number in a set of numbers is always their lowest common multiple
1690,Assumes an addition pyramid works in a different way to how it actually does
1691,Believes the solution of mx + c = 0 is x =0
1692,Mixes up total and part when forming expressions from worded problems
1693,"Does not know the meaning of common, eg. common factor"
1694,Believes that a discriminant of 0 means there are no real solutions
1695,Thinks you add all the bricks in a row in an addition pyramid.
1696,Heads towards zero when subtracting from a negative
1697,Does not understand the link between the sign of the root and the sign in the bracket
1698,Uses the whole base rather than half the base when forming a right angled triangle from an equilateral triangle
1699,Thinks there are 60 degrees in a full turn
1700,Believes you need to know the value of all algebraic variables before any general conclusions can be made
1701,Believes the solutions of a quadratic equation are the absolute values of the constants in the factorised form
1702,Does not know the 9 timestable
1703,When using a 180 degree protractor to measure reflex angles gives the value of the acute or obtuse angle that is a complement to 360
1704,Believes gradient = change in x/change in y
1705,Rounds to the nearest integer when estimating
1706,"When calculating perimeter, only adds the marked lengths"
1707,Misinterprets the meaning of angles on a straight line angle fact
1708,Does not understand place value within a number
1709,Believes a factor pair doesn't have to be 2 integers
1710,"When finding a percentage of an amount, assumes they divide the percentage by 10, but not the amount, before multiplying"
1711,Is not familiar with the names of the different parts of a fraction
1712,"Includes all faces when finding surface area of a compound shape, including those which are stuck together"
1713,Believes inverse function notation means multiplying by negative 1
1714,"When completing the square, believes the constant in the bracket is the square root of the coefficient of x"
1715,Converts a fraction to a decimal by using only the numerator after the decimal point
1716,Goes the wrong direction in the sequence when identifying term-to-term rule
1717,Swaps the dividend and divisor in order to get an integer answer
1718,Thinks there are 100 seconds in an hour
1719,Believes a rhombus has one pair of equal sides
1720,Identifies the term-to-term rule rather than the next term
1721,Does not recall the steps required to draw an angle
1722,Believes a subtraction cannot be partitioned into separate subtractions
1723,Assumes all journeys of the same distance take the same amount of time
1724,"When completing the square, believes that a is always half the x-coefficient. "
1725,"Does not recognise inches ("") as a unit of length"
1726,Believes there is more than one line which passes through a given pair of points
1727,Rounds the wrong way when interpreting a real-life context
1728,"When solving a pair of simultaneous equations, thinks they need to make the coefficients of both variables the same"
1729,"When solving simultaneous equations, finds the correct numbers to transform the equations, but uses them the wrong way around."
1730,"When adding decimals with a different number of decimal places, lines up the digits incorrectly"
1731,Makes an assumption about the squares on a scale representing either 1 or 10
1732,Thinks a factor tree splits a number into a pair of numbers that sum to the given number.
1733,Confuses tangent and chord
1734,Thinks that we can remove a division symbol and just write the variables next to each other
1735,Does not realise a quadratic must be in the form ax^2+bx+c=0 to find the values for the quadratic formula
1736,Believes clock times can be written with a decimal point rather than a colon
1737,Only looks at the difference between one pair of terms when discerning the pattern
1738,Uses sin when cos is required
1739,Does not understand changing decimals to fractions
1740,Does not recognise the properties of a kite
1741,Confuses diameter and chord
1742,Adds or subtracts the degree of accuracy from the original number
1743,Believes that the coefficient of x represents the gradient even when a line is not in the form y = mx+c
1744,Rounded to nearest 100 instead of 1sf
1745,Believes a quadratic graph can be a straight line
1746,Does not know the term 'diameter'
1747,"When using the capture-recapture method of sampling, believes you multiply the number caught second by the number marked second to get the best estimate of population size"
1748,"Believes that when a shape touches the mirror line, all of its vertices will stay the same when reflected"
1749,"When dividing fractions, does the reciprocal of both fractions"
1750,"Adds ""100"" to end of written value rather than multiplying by 100"
1751,Does not realise we can borrow from the preceding digit in a subtraction problem
1752,Believes the arrows for parallel lines mean equal length
1753,Believes a direct proportion graph can have a negative gradient
1754,Thinks two-tailed inequalities can have a constant in the middle
1755,Incorrectly factorises a quadratic
1756,Thinks you need to just remove the percentage sign to convert from a percentage to a decimal
1757,Lists outcomes rather than counts how many outcomes
1758,Can not recognise all factor pairs of numbers
1759,Assumes decimal point can be ignored when given a decimal percentage to convert to a fraction
1760,"Reads the position of a number from the space between the line marked, rather than the line marked"
1761,Does not understand what each part of a bar model represents as a fraction
1762,"Thinks that when drawing the plan view, the top layer of the shape needs to be drawn in the row above "
1763,Confuses arc and diameter
1764,Estimated when not appropriate
1765,"Does not understand how to answer generalised statements (eg. by testing values to check for always, sometimes, never)"
1766,Thinks x^2 - a^2x is a valid form of difference of two squares
1767,Does not realise that a pictogram needs a title or question
1768,Believes the y-intercept of a line is the solution to its equation
1769,Does not know how to read information off a pie chart
1770,Believes the proportion for a pie chart sector is 1 divided by the number of degrees
1771,Believes the solution of a quadratic inequality is always the interval between the roots
1772,Believes a reciprocal graph comes from a cubic equation
1773,Adds rather than subtracts when answering worded problems
1774,"When multiplying a surd by an integer to write as one surd, squares the number under the surd rather than the number in front"
1775,Stops iteration too early when solving equations
1776,Believes they solve mx + c = 0 by substituting in x = 0
1777,Confuses the graph of 1/x with 1/x² when both are shown
1778,Believes you subtract the number marked second from the estimated population to find the number marked first when using the capture-recapture method
1779,Does not recognise that a shape translated would not change orientation
1780,Thinks all dimensions given must be used when calculating the area
1781,Does not think we can have negative powers in standard form
1782,Does not recognise miles as a unit of length
1783,Confuses pyramid with prism
1784,Believes a horizontal line can show a constant rate of change
1785,Added the base numbers
1786,Converts a fraction to a percentage by writing the numerator followed by the denominator
1787,"When talking about money ""taken"" in a retail context, thinks that means take-away rather than add"
1788,Uses slant heights instead of parallel sides to find area of a trapezium
1789,Thinks the elevation is taken from an angle to include aspects of the other side
1790,Does not know the correct notation for labelling a side length
1791,Does not know that vertically opposite angles are equal
1792,Has multiplied the base number and the power
1793,Does not count end number when counting
1794,Does not recognise that choosing 2 items at once means the first item does not get replaced in a probability question
1795,"Believes you subtract the smaller digit from the larger digit in column subtraction, regardless of position"
1796,Thinks a positive x value in a column vector means to move left rather than right
1797,Assumes the range of a set of data starts at zero
1798,Believes 1 is a prime number
1799,"When converting fraction to ratio, thinks you just use the numerator and denominator as the numbers in the ratio "
1800,Believes multiplying two positives gives a negative answer
1801,Believes they always divide by the conversion factor when converting units
1802,Adds instead of subtracts when finding the area of part of a shape
1803,Believes they can divide by a variable without checking whether it could equal zero
1804,"When dividing fractions, multiplies the numerators and multiplies the denominators"
1805,Does not realise that subtracting a negative is the same as adding it's additive inverse
1806,Only recognises the negative form of a quadratic graph
1807,"When multiplying mixed numbers, forgets to multiply the fraction"
1808,does not realise that the product of prime factors will also be a factor of the original number 
1809,Rounds too little when estimating
1810,Thinks x = 1 at the x axis
1811,Believes that the compensation strategy for the multiplication of 2 numbers can only be used one way round.
1812,"When multiplying fractions, adds the denominators and multiplies the numerators"
1813,Estimates the length of diagonal lines rather than working out based on horizontal and vertical measurements
1814,Confusion over whether multiplication or division is the correct way to solve the problem.
1815,"When given the perimeter of a regular polygon, subtracts instead of divides to find each side length"
1816,"Believes the probability on all branches travelling in the same direction on a tree diagram are the same, despite changing events"
1817,Rounds every number down when estimating
1818,Thinks you can find missing values in a given table by treating the row as linear and adding on the difference between the first two values given.
1819,Confuses order of sides in a trigonometric ratio
1820,"Uses the denominator when converting from fractions to ratio, rather than numerator."
1821,"When finding the nth term rule for a quadratic sequence, believes that the coefficient of n squared is the second difference"
1822,Thinks they multiply the numerator and denominator together to convert a fraction to a percentage 
1823,"When there are two modes, finds the mean of these values and gives that as the mode"
1824,Counts the starting number when counting backwards
1825,Does not fully simplify fraction
1826,Believes the solution of a quadratic is its turning point
1827,Believes the upper bound of an interval in a grouped frequency table is equivalent to the group width of the interval
1828,Does not understand inequality notation
1829,Believes they must change the direction of the inequality when dividing through by a positive number.
1830,Thinks area of a circle = radius x pi 
1831,Does not know the properties of a cylinder
1832,Confuses linear and reciprocal graphs
1833,"When drawing a histogram, thinks you plot frequency on the horizontal axis"
1834,Confuses an equation with an expression
1835,When finding the area of a parallelogram finds base x perpendicular height but divides the answer by 2 
1836,Believes lines of symmetry must be vertical or horizontal
1837,Names one of the faces of a 3D shape rather than the 3D shape name
1838,"Confuses the roles of initial capture, recapture, and total population in the capture-recapture method"
1839,Does not know how to use a bar model to write division facts
1840,Thinks the fraction button on a calculator converts fractions to decimals
1841,Thinks the number of wholes in a mixed number represents the tens from the numerator of an improper fraction
1842,Confuses the number of regions in a Venn diagram as the total number of entries in the diagram
1843,"When using interpolation to estimate frequency that is above a certain value, believes they can add the estimated frequency up to that value in its class, rather than the estimated frequency after it"
1844,Uses length scale factor for area without squaring 
1845,"When multiplying involving a multiple of 10, just multiplies the digits and ignores the zeros "
1846,Is not able to spot a proportional relationship pictorially unless they are laid out in groups
1847,Confuses the part and the whole in fraction of an amount problems
1848,Thinks the y coordinate of a point on the x axis is 1
1849,Believes the gradient of a line is given by the x intercept
1850,Mixes up square rooting and fourth rooting
1851,Does not know the properties of an isosceles triangle
1852,"When adding an integer to a fraction, thinks you add the integer to the numerator"
1853,Thinks an enlargement of any scale factor keeps side lengths the same
1854,Confuses tangent and radius
1855,"Believes that if one number in a product decreases, the answer must increase. "
1856,Thinks multiplication and addition are the same
1857,Believes a cubic equation will have a linear graph
1858,Does not compensate when subtracting
1859,Thinks the mode in a stem and leaf diagram  is the stem that has the most leaves 
1860,Believes a reciprocal graph can be a straight line
1861,Rounds to nearest 50 not 20
1862,Performs addition ahead of division
1863,Thinks 1l = 10 cubic centimetres
1864,Does not realise that the order is important in a ratio
1865,"When dividing numbers with different bases, subtracts the powers and subtracts the base numbers."
1866,Confuses additive and multiplicative relationships
1867,Finds unit price then forgets to multiply up
1868,Believes lines are parallel if they have the same y intercept 
1869,"Believes that the larger the divisor, the larger the answer."
1870,Thinks there are 10000mm in a metre
1871,"Thinks factorising a quadratic means factorising the variable terms into a single bracket, and leaving out the constant"
1872,Believes they only need to multiply the first and last pairs of terms when expanding double brackets
1873,Believes the median is the midpoint of the range
1874,Believes the median is the frequency for the category in which it is located
1875,Has used a subtraction sign to represent division
1876,Counts leading zero as a significant figure
1877,Thinks rectangles have rotational symmetry or order 4
1878,"In inverse proportion, believes that if one variable is a reciprocal, the other variable will be the reciprocal as well. "
1879,Believes midpoint of an interval is used rather than total frequency to calculate the sector angle for a pie chart
1880,Mixes up greater than and less than symbols
1881,Halves when asked to find the cube root
1882,Believes square numbers are triangle numbers
1883,Uses only the base and perpendicular height when calculating the area of a trapezium
1884,Thinks numbers are a multiple of their index
1885,Thinks a power raised to a power leads to addition of the powers
1886,Does not understand that base angles in an isosceles are equal
1887,Adds instead of subtracts when asked to find the difference
1888,Does not know the information each vertical line of a box plot represents
1889,Believes f(x - a) translates the function up a units
1890,Thinks the multiplication sign means to add
1891,Believes they can cross-cancel before flipping the second fraction when dividing fractions
1892,Does not recognise the sin graph
1893,"Believes the y intercept is given by the difference between the x and y coordinates of any point on the line, not just the point (0, c) "
1894,Confuses the part and the whole in missing number subtraction problems
1895,Does not realise that all circles are similar
1896,"When finding the gradient from the equation of a line in the form ax + by = c, believes b/a is the gradient"
1897,Confuses vertically opposite angles and angles around a point
1898,"When adding decimals, just adds the digits and ignores place value"
1899,Thinks the missing length has to be half the length of the side given
1900,Thinks two variables next to each other represent addition
1901,Subtracted base numbers as well as powers
1902,Gets the minutes and hours the wrong way around
1903,Thinks all lines on a net will form edges in 3D
1904,Believes the numbers in factorising should multiply to give the coefficient of x and add to give the constant
1905,Believes that when finding bounds you round to the nearest whole number
1906,Gives 3-letter angle notation in the wrong order
1907,Believes an interior angle in a regular polygon can be found using 360 subtract (180 over number of sides)
1908,Ignores numerical terms when setting up an equation from a question
1909,Does not consider the denominator when adding/ subtracting fractions. Adds/subtracts the numerator and makes the denominator the one with the highest value.
1910,Confuses relative frequency and expected frequency
1911,Only multiplies second term in the expansion of a bracket
1912,Gives the probability out of the number of non-successes rather than the total
1913,"Gives the smallest whole when asked for the smallest fraction shaded, presented visually"
1914,Converts fraction to percentage by multiplying the denominator by 10
1915,When multiplying mixed numbers thinks they add the integers
1916,"When subtracting fractions, subtracts the numerators and multiplies the denominators"
1917,Confuses the meaning of parallel and perpendicular
1918,Does not fully simplify ratio
1919,Believes that a fractional index also means you need to find the reciprocal
1920,Forgotten that anything to the power of 0 equals 1
1921,Does not understand laws of indices
1922,Gets the dividend and divisor the wrong way round when doing long division
1923,Thinks a greater range means more consistent data
1924,Believes that a number divided by itself equals 0
1925,Believes nth term rules for patterns must be given in standard an + b form
1926,"Believes you use the half of the base length to find the area of an isosceles triangle, following using it to find the perpendicular height"
1927,Does not know the definition of a prism
1928,Mixes up the numerator and denominator
1929,Does not understand the concept of inverse operations in algebra
1930,Believes it's ok to change the scale on an axis for the negative values
1931,Believes the opposite side is where the adjacent side is in a right angled triangle
1932,Counts partial symbols as if they were whole on pictograms
1933,Believes that the reciprocal of a number is equal to that number (1/x = x)
1934,Multiplied by the scale factor rather than divided in direct proportion problems
1935,"Divides length of original by length of image to find scale factor, rather than image by original."
1936,Believes the integer can be written before or after the surd eg. 3√2 = √2 3
1937,Believes subtracting a positive number from a negative number makes the answer less negative
1938,Ignores zeros when giving the value of an integer
1939,Difficulty with translating a mathematical answer into a real world context
1940,Believes a kite has bisecting diagonals
1941,"Confuses the order of operations, believes subtraction comes before multiplication "
1942,Chooses the wrong 3 letters to describe an angle
1943,Includes the intersection of a Venn diagram when asked to find the value of a set only
1944,Confuses the radius with the radius squared in the equation of a circle
1945,Believes an upward slope on a distance-time graph means the movement has stopped
1946,Believes numbers are divisible by numbers which sum to their factors
1947,Writes more than three repeated symbols next to each other in Roman numerals
1948,Believes the inverse of square rooting is doubling
1949,"Believes reflection in y=-x switches the signs of the coordinates, but not their numbers"
1950,forgets to include the common factors when calculating the lowest common multiple
1951, Does not believe that a negative multiple of a vector is in the opposite direction
1952,Confuses class width and frequency when calculating frequency density
1953,Makes an assumption about line segments being equal within a shape
1954,Divides when converting to a smaller unit
1955,Thinks that a percentage can be converted to a fraction using a denominator of 10 
1956,Doubles side length for similar shape instead of using correct scale factor
1957,"Reads 10,000 as 1000"
1958,"Believes the smaller number is always subtracted from the larger, regardless of the order of the calculation"
1959,Does not know that a solid is a 3D shape
1960,Does not realise that the sum of the two shorter sides must be greater than the third side for it to be a possible triangle
1961,Fails to identify mirror line
1962,Doesn't take into account cost when calculating expected return/profit
1963,Performs subtraction right to left if priority order means doing a calculation to the right first
1964,Estimates obtuse angles as 90 degrees or less
1965,Thinks you need to just add a % sign to a decimal to convert to a percentage
1966,Finds the median instead of the mean
1967,Counts a side length more than once when counting perimeter due to not marking a starting point
1968,Mixes up width and height of a rectangle
1969,Mixes up square numbers and even numbers
1970,Confuses isosceles and right angle triangles
1971,Confuses the inverse operations of addition and subtraction when rearranging equations
1972,Subtracts rather than multiplies when answering worded problems
1973,Divides instead of multiplies when converting a decimal to a percentage
1974,Believes the gradient of a line is the root of its equation
1975,Does not understand the question
1976,"When multiplying a fraction by an integer, multiplies both numerator and denominator by the integer"
1977,Confuses section and whole when using a bar model
1978,Subtracts instead of adds when answering worded problems 
1979,"Believes that they can reverse a percentage increase by decreasing the new value by the same percentage, and vice versa"
1980,"When multiplying fractions, adds the numerators and the denominators"
1981,Does not know how to compare decimal numbers
1982,"When asked to find data points above a certain value, gives the number of data points below this value"
1983,"When dividing involving a multiple of 10, gives an answer 10 times smaller than it should be "
1984,Adds when calculating volume instead of multiplying
1985,Has multiplied base by slant height and perpendicular height to find area of a triangle
1986,"When writing ratio from diagram, writes total as one side"
1987,"When completing the square in the form (x - a)^2 + b, believes b = the original constant"
1988,Rounds up instead of down
1989,Believes a coordinate cannot be placed beyond the bounds of the grid shown
1990,Fails to reflect across mirror line
1991,Assumes any variable in a sum on the numerator can be divided by the denominator
1992,Believes extreme values can affect the mode
1993,Believes total in a grouped table is found by counting rows
1994,"When completing the square in the form (x - a)^2 + b, believes b = -a^2 regardless of the original constant"
1995,Mixes up shortest and longest when ordering times
1996,Only includes fully shaded squares when counting area
1997,Believes vertically opposite angles sum to 180 degrees
1998,"When finding which term represents the median, thinks you divide the total number of terms by 2"
1999,Does not interpret the correct order of operations from a worded problem
2000,Believes multiplying by 0.1 is the same as multiplying by 10
2001,"When solving an equation,  subtracts instead of multiplying"
2002,"When dividing a decimal by an integer, divides by the wrong power of 10 when reinserting the decimal."
2003,Believes multiply all numbers in a prime factor venn diagram gives the value of one sets number
2004,Confuses frequency polygons with cumulative frequency diagrams
2005,Multiplies all given dimensions when calculating the length of the hypotenuse in a right angled triangle
2006,Believes the mean is total divided by sum of categories given
2007,Believes the number of vertices on a 3D shape match those of the 2D cross section
2008,"When substiting into an algebraic term, raises the coefficient to the power of the variable rather than multiplying the coefficient and the variable.."
2009,"Assumes they add all values in a worded problem, thereby not interpreting the problem correctly"
2010,Does not understand power notation
2011,"When simplifying surds, leaves the square root of the biggest square number under the root and puts the other number on the outside"
2012,When reading a dash on a number line does not take into account the number at the start or the width of each division
2013,"When drawing a histogram, thinks you plot cumulative frequency on the horizontal axis"
2014,Believes if a point is reflected in the line x=a then the x coordinate of the point will become 'a'
2015,Forgot to square both parts of the fraction
2016,Believes the nth term of a descending sequence will have a positive coefficient of n
2017,Mixes up square rooting and multiplying by 2 or doubling
2018,Thinks a divide and a negative sign next to each other makes a minus
2019,"When there's a negative sign in the question, thinks the answer must be negative"
2020,"When simplifying surds, does not use the largest square number to simplify"
2021,Does not recognise when a fraction can be simplified
2022,"
Has incorrect belief about the meaning of ""expression"""
2023,Thinks when finding a percentage you divide by the percentage being asked
2024,Confuses the variable and frequency columns in a frequency table
2025,Does not realise a triangular prism is a 3D shape
2026,Reflects instead of rotates
2027,Believes that an + b is still a multiple of a
2028,"When writing a number between zero and one in standard form, thinks the power is the negative of the number of decimal places"
2029,Believes non-unit multiples of vectors can be the same length
2030,Believes that fractions with larger denominators are greater in size
2031,Misremembers the exact values of trigonometric functions at standard angles
2032,Believes the gradient of a distance-time graph is the acceleration
2033,Rounds to the wrong degree of accuracy (1 decimal place rather than nearest whole number)
2034,Finds an equivalent improper fraction when asked for a mixed number
2035,"When reading integers on a number line, assumes each dash is 10"
2036,Identified the interior not exterior angle at a point
2037,Believes switching the gradient and y-intercept gives a parallel line
2038,Believes a common denominator can only be the lowest common multiple
2039,Thinks you need to just add a % sign to a number to make it a percentage
2040,Has estimated the length of the missing side length by looking at the image  rather than calculating it
2041,Fails to reflect across reflection line without a diagram
2042,Can not square root a negative number
2043,Selects y>a solutions instead of y<a solutions for a quadratic inequality
2044,Does not know the units column is before the decimal point
2045,Writes a variable to the power of n as nx
2046,"When collecting like terms, treats subtractions as if they are additions"
2047,Believes infinite gradient is not possible in real life. 
2048,Has not noticed the difference between 'subtract' and 'subtract from'
2049,Believes a gap of 2 is a gap of 1 on a numberline
2050,Does not recognise a unit of length
2051,Does not correctly apply the commutative property of multiplication
2052,Believes all numbers written in standard form must be smaller than any numbers written in ordinary form
2053,"When reading integers on a number line, assumes each dash is 1"
2054,Believes the number of jumps between two numbers on a numberline represents the sum of those 2 numbers 
2055,"When multiplying a decimal by an integer, ignores decimal point and just multiplies the digits"
2056,"When calculating surface area, only includes visible faces"
2057,Thinks that the scale on axes has to match with the number of squares
2058,Assumes there are only 2 terms in the nth term formula for a quadratic sequence
2059,Ignores unlabelled angles when applying angle sum rules
2060,"When solving simultaneous equations graphically, they think the solutions are the x or y intercepts"
2061,"Believes that when converting ratio to fractions, the denominator is the difference between the parts of the ratio"
2062,Believes you multiply all of the values given when using the capture-recapture sampling method
2063,"When calculating volume expressed in cubes, counts the faces of all the cubes"
2064,"Finds the range of possible values of the variable, rather than the range of recorded values"
2065,Believes when calculating a probability the denominator will be the total of one of the criteria rather than the overall total that is required (gives a given that answer)
2066,Does not know multiplying by a unit fraction is equivalent to: dividing by its denominator value
2067,Thinks there are 10000ml in a litre
2068,"Does not know that to factorise a quadratic expression, to find two numbers that add to give the coefficient of the x term, and multiply to give the non variable term

"
2069,"Believes if there are two numbers with the same frequency, there isn't a mode"
2070,"Believes that when factorising a quadratic equation with a coefficient of x squared, the two constants in the brackets are still the solutions of the equation with opposite signs"
2071,Shares equally instead of in given ratio
2072,Confuses formulae for area of triangle and area of rectangle
2073,Converts a fraction to a decimal by placing all values of the fraction after the decimal point
2074,"When describing the relationship between the parts in a ratio, replaces the : with a decimal point to say how many times bigger a part is than the other"
2075,Misunderstands mixed number notation 
2076,Believes an algebraic term with the same coefficient as the value of a constant term can be subtracted to give zero
2077,"Believes that when eliminating a variable, if the signs of the terms with matching coefficients are different, we subtract the equations."
2078,Simplifies a fraction by adding or subtracting the same amount from the numerator  and denominator
2079,Believes that points on an axis have equal x and y coordinates
2080,Confuses the y-intercept with the turning point of a curve
2081,Thinks there are 7 hours in 1 day
2082,"When multiplying a surd by an integer, multiplies the integer with the number under the surd"
2083,Thinks y =1 is the y axis
2084,"When multiplying numbers with different bases, multiplies the powers and multiplies the base numbers."
2085,Adds instead of multiplies when multiplying algebraic terms
2086,"When calculating volume expressed in cubes, counts only the squares on one face"
2087,Multiplies before applying a power 
2088,"When multiplying variables, thinks they add coefficients as well as powers"
2089,"When asked to find a scale factor, assumes direction of enlargement does not matter"
2090,Finds the area of the whole grid instead of the shaded shape
2091,Thinks depth always goes front to back in a diagram of a 3D shape
2092,Error finding percentage value after finding 1%
2093,Thinks the fraction bar means subtract rather than divide
2094,Confuses all possible outcomes with options available
2095,"When reading graph, chooses nearest marked value on axis instead of reading accurately"
2096,When adding negatives believes that they can just add their absolute values and add a negative sign to the answer
2097,Confuses prime factors and factors
2098,Multiplies all terms together when simplifying an expression
2099,Believes negative powers in standard form have the same impact as positive powers 
2100,Divides rather than multiplies when answering worded problems
2101,Believes we move down a number line when we add
2102,Believes adjacent sides of a rhombus are always perpendicular
2103,Believes h in the formula for area of a trapezium stands for half the sum of the parallel sides
2104,Thinks that only the angles need to be the same for a polygon to be regular
2105,Has used slant height and base to find area rather than perpendicular height and base
2106,"When asked to find an angle given in three letter convention, thinks the angle you want to find will be located at the vertex labelled with the last letter"
2107,"Student thinks that negative decimals behave the same as positive decimals when positioning a decimal between two consecutive negative integers, placing the decimal with a greater absolute value to the right. "
2108,"Believes if a circle is divided into n equal sectors, the angles at the centre will each be n degrees"
2109,Counts on in the wrong direction on a number line
2110,Identifies a common multiple of two numbers when asked to consider a common multiple of three numbers
2111,"Believes you do not include an ""other"" category when finding a total frequency"
2112,Does not understand how to find percentages of an amount
2113,Confuses the equations of vertical and horizontal lines
2114,"When completing the square, believes a coefficient of x^2 does not affect the value of the constant inside the bracket"
2115,Believes any of the angles can be used in the trigonometric formula for area of a triangle
2116,Does not round up when an answer is non-sensical in a real-life context
2117,Thinks that all angles anywhere along a straight line add to 180
2118,Struggles to visualise elevations of 3D shapes
2119,Ignores the negative sign
2120,Believes they do not have to say the point when reading a decimal aloud
2121,Believes angles on a straight line add to 100 degrees
2122,Thinks two letters next to each other is a division
2123,Divided by 100 rather than 10
2124,Cannot identify a fraction on a number line
2125,"When multiplying a multiple of 10, just multiplies the non-zero digits"
2126,Miscounts when subtracting over zero
2127,Thinks the gradient of a line includes the variable x
2128,Believes a common denominator must always be the two denominators multiplied together
2129,Increases by the given percentage rather than finding the percentage of an amount
2130,"Does not know the meaning of the word ""sum"""
2131,"When multiplying out 2 or more brackets, does not multiply all the combinations of terms"
2132,Thinks there are 100m and a km
2133,"When dividing a decimal by a multiple of 10, just divides the fractional place values "
2134,when multiplying fractions multiplies by the reciprocal of the 2nd fraction instead
2135,Thinks positive or negative sign affects the term before it
2136,"When finding the square root of a decimal, ignores place value"
2137,Does not know what dashes on the sides of shapes mean
2138,Does not understand a percentage can be applied to something not out of 100
2139,"When finding the nth term rule for a quadratic sequence, believes that the coefficient of n is half the second difference"
2140,Believes division is carried out before a power
2141,Believes that 'zero' is read as the letter 'O'
2142,"Does not know that to factorise a quadratic expression, to find two numbers that add to give the coefficient of the x term, and multiply to give the non variable term
"
2143,Adds instead of multiplying when expanding bracket
2144,Believes a number written in standard form cannot have a lot of decimal places
2145,Believes an upward slope on a distance-time graph means travelling back towards the starting point.
2146,Believes the line y = mx - c will cross the y axis at c
2147,Believes they should multiply each numerator by its original denominator when adding/subtracting fractions
2148,"When simplifying, thinks they write 0 in front of a negative number in the final answer, instead of just writing the negative number"
2149,Converted seconds to minutes instead of seconds to hours
2150,Does not know the 6 timestable
2151,Thinks you cannot find the range if there are an even number of values
2152,Believes every number is the mode when you have data with no mode
2153,Thinks the category with the most common bar height is the mode
2154,Thinks finding a fraction of an amount means subtracting from that amount
2155,"Reflects in an axis, instead of the given mirror line"
2156,Thinks alternate angles are always equal
2157,"Believes that when eliminating a variable, if the signs of the terms with matching coefficients are the same, we do the operation matching the sign (+ if positive, - if negative)"
2158,Multiplies rather than divides when answering worded problems
2159,Believes the fx column for calculating mean is value/frequency
2160,"In repeated percentage change, believes the second change is only a percentage of the first change, without including the original"
2161,Confuses octagon and hexagon
2162,"When rounding to decimal places and the only digits after the decimal point will be zeros, just gives the integer as the answer."
2163,Attempts to simplify ratio by subtracting from both sides
2164,Believes a number written in standard form is smaller than another number written in standard form if the number between 1 and 10 is smaller
2165,Thinks that we cannot calculate the range of negative numbers
2166,Adds up the variable column when asked for total frequency
2167,"When a subtraction of one positive number from another, results in a negative answer, they believe the answer is the sum of those 2 numbers with a negative sign put in front."
2168,Assumes a 1:1 conversion ratio between different currencies
2169,Believes that prime numbers can have more than two factors
2170,Subtracts numerators when dividing fractions with a common denominator
2171,Uses the total as the numerator of the fraction rather than the denominator.
2172,Subtracts instead of adding when asked to find a total
2173,Does not realise that division can be used to find the missing value in a multiplication problem
2174,Believes a parallelogram cannot have right angles
2175,"Mixes up squaring and multiplying by 2 or doubling, and not square rooted"
2176,Confuses objective and subjective
2177,Does not know that a reflection would not change the size of the shape
2178,Believes mixed numbers cannot be simplified
2179,Assumes that an arrow on a number line starts at zero
2180,Divides instead of multiplies when calculating total frequency
2181,Performs addition ahead of subtraction
2182,Believes given two sides and one angle of a triangle there are multiple ways to draw the triangle
2183,Confuses consecutive and prime numbers
2184,Believes the equation of a straight line is y=-mx+c
2185,Believes negative numbers with a larger absolute value are greater
2186,Thinks the missing length has to be half the length of the opposite side
2187,"When multiplying a decimal less than 1 by an integer, gives an answer 100 times smaller than it should be"
2188,"Does not understand that enlargements can make shapes make shapes bigger, smaller and the same size"
2189,Believes isosceles triangles cannot have right angles
2190,Denominator used for other parts rather than total parts
2191,When writing a number as a percentage of another number gets them the wrong way around
2192,Does not know you can find the mean from a pictogram
2193,Confuses tangent and circumference
2194,Assumes the scale is the same when comparing two similar diagrams
2195,Does not know the definition of a prime number
2196,Believes the number of bars gives the total on a bar chart
2197,Thinks you multiply parallel sides to find the area of a trapezium
2198,Finds the mode instead of the median
2199,Divides by the numerator and multiplies by the denominator when finding a fraction of an amount
2200,Believes that when dividing an integer by a power of 10 you add zeroes after the decimal point
2201,Does not know the definition of a composite number
2202,Thinks we have to add the base numbers as well as the powers when multiplying indices
2203,Lines up the digits incorrectly when doing a subtraction involving two numbers with a different amount of digits
2204,Believes the area of a rectangle is calculated by length add width
2205,Thinks the largest number in a stem and leaf diagram comes from the first leaf next to the largest stem
2206,Added the values together instead of finding the percentage
2207,Believes we can categorise data as primary or secondary without knowing the source
2208,"When writing ratio, writes total as one side"
2209,Confuses an expression with a variable
2210,Ignores colours or design on shape when looking for symmetry
2211,Believes interquartile range is the sum of the lower and upper quartiles
2212,Mixes up smallest and largest when ordering fractions
2213,Assumes regular shape refers only to a square
2214,"Thinks that in the equation y=a, a is the gradient"
2215,Does not recognise when to find a factor from a worded question
2216,Believes the mean from grouped data something divided by the sum of the midpoint values
2217,Thinks subtracting a negative makes your answer smaller
2218,Assumes that opposite angles are equal in a quadrilateral
2219,"Believes any co-interior angles are supplementary, not just those in parallel lines"
2220,Mixes up term in a sequence and position of a term
2221,Has made an order of operations mistake when writing a formula from a given situation
2222,Out by 10 when subtracting
2223,"When dividing fractions, divides the denominators by each other"
2224,Does not recall larger square numbers
2225,Thinks signs are interchangeable when adding or subtracting positive and negative numbers
2226,Incorrect use of scale on a diagram
2227,Subtracts rather than adds when using Pythagoras to find the hypotenuse
2228,Does not know what a Fibonacci sequence is
2229,Believes the mean is something divided by total
2230,substitutes incorrectly
2231,Thinks cross section of a prism can be any face
2232,Thinks that perpendicular lines do not meet at 90 degrees
2233,Thinks the reciprocal of a fraction is what number adds to that fraction to make one whole.
2234,Forgets to change the numerators when finding equivalent fractions
2235,Gives the first significant figure when asked for the second
2236,Does not know that co-interior angles sum to 180 degrees
2237,"Thinks the more digits a number has the greater it is, regardless of place value"
2238,Divides rather than multiplies when scaling up in direct proportion problems
2239,Thinks there are 50 weeks in a year
2240,"When factorising a quadratic with a non-unit coefficient of x squared, believes that coefficient will be in front of both x terms in the factorised form"
2241,Confuses triangular prism with pyramid
2242,Converts a fraction to a decimal by placing the denominator after the decimal point
2243,Believes quartiles are at 1/4 and 3/4 through the range of the data
2244,"Thinks there are 10,000g in a kilogram"
2245,"When using the formula to solve a quadratic equation, believes that a, b and c are always taken from the 1st, 2nd and 3rd terms, respectively, of the quadratic. "
2246,Answers as if there are 10 seconds in a minute when changing from seconds to minutes
2247,Does not understand that a number is divisible by the factors of its factors
2248,Halves when asked to find the square root
2249,Confuses calculations for cumulative frequency and estimated total from a grouped frequency table
2250,Believes the difference between triangle numbers remains the same
2251,Chooses the correct scale when measuring angles on a protractor but starts from the wrong number when the angle is in between two labelled dashes
2252,Believes you multiply the constant difference by the term number to get the term value
2253,Believes the position number in a sequence does not have to be an integer
2254,Removes the decimal point when asked to round a decimal to a whole number
2255,Believes you subtract the number caught second from the estimated population to find the number marked first when using the capture-recapture method
2256,Believes the constant in an expanded quadratic comes from adding the two numbers in the brackets
2257,Believes you always reduce the numerator and denominator by 1 when writing the probability for a second pick without replacement on a tree diagram
2258,Believes when writing a number in standard form as an ordinary number you write any digits in the base (omitting the decimal point) and do not account for the power of 10
2259,Believes the mean is something divided by the sum of the categories given
2260,Identifies a multiple of a number but not a common multiple of a group of numbers
2261,Believes if shapes have rotational symmetry they must have line symmetry
2262,Gets order of ratio wrong
2263,Does not understand the root power of 4
2264,"When subtracting a power of 10, subtracts from the wrong column"
2265,Thinks that probabilities of an event occurring or not occurring must be equal
2266,Believes angles around a point sum to 180
2267,Chooses an incorrect point on the object when describing a 90 or 270 degree rotation
2268,Thinks the x coordinate of a point on the y axis is 1
2269,"When finding the distance between coordinates, includes the starting number"
2270,"In a function machine, confuses an operation with the input"
2271,"When solving a problem that requires an inverse operation (e.g. missing number problems), does the original operation"
2272,"When dividing involving a multiple of 10, gives an answer 10 times bigger than it should be "
2273,Subtracts instead of divides
2274,"When dividing variables, thinks they subtract coefficients as well as powers"
2275,Believes midpoint calculation is just half of the difference
2276,Has considered the percentage rather than the percentage of the amount
2277,"When factorising into double brackets, finds the correct values for the non variable terms but swops the plus and minus sign"
2278,Subtracts rather than divides when answering worded problems
2279,Adds rather than multiplies when using the product rule for counting
2280,"Believes change in y for gradient is always calculated from the origin, regardless of the y-intercept of the line"
2281,Does not understand which months are in the Spring
2282,"Believes that in y=mx+c, m is the y-intercept"
2283,"When finding the missing length on similar shapes, just finds the difference between the given lengths"
2284,When asked for a specific term in a sequence just gives the next term
2285,"In a function machine, confuses the first operation and the input"
2286,Believes the length of the line in a velocity time graph gives the distance (rather than the area underneath that line).
2287,Believes multiplying together all prime factors gives the highest common factor
2288,"When multiplying decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant."
2289,Confuses the signs for straight lines as being dashes
2290,Uses the same value for both coordinates
2291,"When solving simultaneous equations, thinks they can't multiply each equation by a different number"
2292,Does not understand that factors are divisors which split the number into equal groups
2293,Thinks the orientation of the side view does not matter when identifying the direction of view
2294,Believes that Mid point multiplied by the Frequency in a grouped frequency table gives the frequency for that group.
2295,Believes probabilities can be greater than 1
2296,Believes Fibonacci numbers are triangle numbers
2297,Believes total frequency in a table is found by counting rows
2298,Mixes up smallest and greatest when ordering positive integers
2299,Believes any sample gives an equal chance of selection
2300,Forgets to include a marked right angle when performing angle calculations
2301,"Believes the equation of a horizontal line is in the form x = ay, where a is the y intercept"
2302,Believes lines inside the shape are included when finding perimeter
2303,"When asked to find data points below a certain value, gives the number of data points above this value"
2304,"Believes that Mid-point x Frequency in a grouped frequency table gives an accurate total, rather than an estimate."
2305,Ignores place value when adding a whole number and a decimal
2306,"Applies BIDMAS in strict order (does not realize addition and subtraction, and multiplication and division, are of equal priority)"
2307,Thinks you can divide the variables and the numerical values by different numbers when simplifying an algebraic fraction
2308,Converts a fraction to a decimal by placing a decimal point between the numerator and denominator
2309,Thinks they can just give the probability of the first event for a combined probability
2310,Does not know how to find the gradient of a straight line from two points
2311,Divides rather than adds when answering worded problems
2312,Thinks congruent shapes are the same shape but can be different sizes
2313,Mixes up discrete and continuous data types
2314,Multiplies instead of divides to find one part given the total
2315,Confuses negative and positive correlation
2316,Mixes up squaring and multiplying by 2 or doubling
2317,"When asked for the next term in the sequence subtracts one from the last term given, despite the sequence not going down in ones."
2318,Has used the wrong data point on the graph
2319,subtracts the highest from the lowest when calculating the range
2320,Subtracts rather than divides when scaling down in direct proportion problems
2321,does not know the meaning of the word digit
2322,Believes a percentage of a number will be a multiple of the percentage
2323,"When ordering decimals, believes the decimal point is not relevant"
2324,Believes the y-intercept of a line is the root of its equation
2325,Believes data implies equal chance of selection
2326,Multiplies rather than adds 
2327,Does not understand that a space can be used to separate the thousands column from the hundreds column
2328,"When using the capture-recapture method, believes the number caught second is the numerator and the number marked second is the denominator"
2329,Thinks the remainder is the difference between the dividend and the next biggest multiple
2330,Rounds incorrectly by changing multiple place values
2331,Believes the angle in a pie chart sector is equal to the frequency
2332,Uses slant height instead of perpendicular height to find area of a trapezium
2333,Thinks there are 10 million mm in 1 km
2334,Does not know that angles around a point sum to 360
2335,"When multiplying decimals, multiplies rather than divides when reinserting the decimal."
2336,Confuses co-interior and corresponding angles
2337,"Struggles to visualise how an object will look in 3D when given a plan view, front and side elevation"
2338,Believes the lower quartile is the lowest value in a list
2339,Believes that reciprocals are undefined for negative numbers
2340,Does not recognise when to find a multiple from a worded question
2341,Does not know how to calculate the sum of interior angles
2342,Believes they add the conversion factor when converting between units
2343,Believes total frequency in a table is given by the sum of the categories given
2344,"When counting partial symbols on pictogram, uses the fraction rather than the amount it represents"
2345,Counts half-squares as full squares when calculating area on a square grid
2346,"When subtracting decimals with a different number of decimal places, lines up the digits incorrectly"
2347,Believes class width divided by frequency density gives frequency in a histogram
2348,Believes the number of edges on a 3D shape match those of the 2D cross section
2349,Forgets that a number divided by itself is 1
2350,"When multiplying a decimal less than 1 by an integer, gives an answer 10 times bigger than it should be"
2351,Believes to find the angle for a pie chart sector you calculate 360 divided by the frequency of that sector
2352,Writes the index as a digit on the end of a number
2353,Does not divide by 2 when calculating the area of a trapezium
2354,"When describing a translation, identifies the correct number of jumps but mixes up the directions ."
2355,Does not know how to find order of rotational symmetry
2356,Thinks a difference of one part in a ratio means the quantities will differ by one unit
2357,Thinks sign for parallel lines just means opposite
2358,Believes even numbers can have odd multiples
2359,Believes division is commutative 
2360,Thinks the scale factor is found by adding the lengths of two corresponding sides together
2361,Believes a fraction out of a number other than 100 represents a percentage
2362,Believes angles on a straight line add to 360 degrees
2363,Assumes fractions with prime numerators cannot be simplified
2364,Believes all possible outcomes must have equal probability
2365,Confuses vertically opposite angles with angles on a straight line
2366,Mixes up the words “to” and “past” when telling the time
2367,Confuses dependent and mutually exclusive events
2368,Converts a fraction to a percentage by placing a decimal point between the numerator and denominator
2369,Does not know protractor should be positioned with one side of the angle at 0
2370,Uses angles on a straight line in the wrong context 
2371,Believes a direct proportion graph is a horizontal line
2372,"Believes that when factorising a quadratic with a coefficient of x squared, the two constants in the brackets still add to give the coefficient of x"
2373,Does not understand parts must be equal in a fraction diagram
2374,Believes a quarter of 2 is 0.25
2375,Does not equate the value of a number with the place value column it is in
2376,"When finding the nth term of a linear sequence, thinks the the first term is the coefficient in front of n."
2377,Does not know the definition of term or term-to-term rule
2378,Divides total amount by each side of the ratio instead of dividing by the sum of the parts
2379,Unable to equate two divisions with a single division
2380,Believes f(x) - a translates the function up a units
2381,"Confuses the lower bound and upper bound, and writes the lower bound as a value that would end in recurring 9's, for example"
2382,Believes that y = m +cx is the equation of a straight line
2383,When multiplying by 1 gives an answer of 1 (for a number other than 1)
2384,"When simplifying surds, does not square root the largest square number that goes into the number under the surd before putting it in front of the surd"
2385,Thinks that the lower and upper bound for a truncated number can be found in the same was as when it has been rounded
2386,Believes there is a multiplicative relationship between values of terms in a linear sequence e.g. 10th term is double 5th term
2387,"When finding a fraction of a fraction, divided by the whole fraction instead of the denominator"
2388,Uses formula for area of a parallelogram when finding the area of a trapezium
2389,"When using a function machine, confuses the input and the output."
2390,"Believes rounding to 1 significant figure means rounding to the nearest integer, regardless of the value of the number"
2391,"Believes the median is the middle category in a table, ignoring the frequencies"
2392,Rounds to the wrong degree of accuracy (rounds too much)
2393,Believes the midpoint of grouped data is equivalent to the group width
2394,Does not know the properties of an equilateral triangle
2395,"When asked for the value of a digit, just gives the digit"
2396,Adds a zero onto the end of units multiplied by units when solving multiplication problems using the grid method
2397,Does not realise we can find a missing length if we know the base of a parallelogram and its area. 
2398,Thinks you can divide terms by different factors when simplifying an algebraic fraction
2399,"when dividing a fraction by an integer, both multiplies the denominator and divides the denominator"
2400,"Believes that if the numerators of 2 fractions are equal then the fractions are equal, regardless of the denominator"
2401,Answers as if there are 60 hours in a day
2402,"When asked for the value of a digit, gives an answer 10 times too small"
2403,Believes the columns in a base are multiples not powers of the base
2404,"When using the capture-recapture method of sampling, believes you multiply the number marked first by the number marked second to get the best estimate of population size"
2405,Arithmetic error when dividing by 8
2406,"When multiplying a fraction by an integer, believes the integer will become the denominator of the fraction"
2407,Believes an arithmetic sequence can have a common second difference rather than first difference
2408,Does not realise that subtracting a larger number will give a smaller answer
2409,Believes you place the digits next to each other for a multiplication sample space diagram
2410,Believes an outlier has to be a whole number
2411,"When multiplying large numbers, splits numbers into addends rather than factors"
2412,Does not understand which place value is the one that determines if a number rounds up or down
2413,"When finding the value of a number given in roman numerals, adds the value of all letters together without considering the position of the letter."
2414,Believes a variable must remain unknown and cannot be substituted with a value
2415,Thinks that square root is found by dividing by 4
2416,Finds the difference in a coordinate pair rather than the midpoint
2417,Does not use the associative property of multiplication to find other factors of a number
2418,Believes the universal set symbol means any elements not within a circle. 
2419,Combines digits instead of applying the mathematical function
2420,Thinks direct proportion rules apply to inverse proportion problems
2421,Believes a rectangle has one pair of equal sides
2422,Tries to add or subtract unlike terms
2423,Confuses isosceles and scalene triangles
2424,Believes a line segment can be opposite an axis
2425,"Believes both solutions of a quadratic will have the same absolute value, even when the graph is not symmetrical about the y axis"
2426,When finding the median from a even dataset does not understand we must find the midpoint of the two values in the middle
2427,Does not divide by 2 when finding midpoint
2428,"When drawing bar diagram for ratio, shows the total amount as the total of one side"
2429,Believes finding a fraction of an amount means multiplying by the denominator
2430,Does not consider fractional parts when solving proportion problems
2431,"When two digits multiply to 10 or more during a multiplication problem, does not add one to the preceding digit"
2432,Does not know the properties of a parallelogram
2433,Does not know how to calculate with exchange rates
2434,Ignores position/value of midpoint when trying to label a point on scale
2435,Reads one point on a time series graph instead of all the values from a given time period
2436,Believes the solutions of a quadratic equation are the constants in the factorised form
2437,Believes a downward slope on a distance-time graph means travelling away
2438,Does not copy a given method accurately
2439,Does not understand that removing an outlier will impact the range
2440,Finds the circumference instead of the area
2441,Thinks multiplying by a number is the same as raising to the power of that number
2442,"When calculating a scale factor, multiplies instead of dividing."
2443,Thinks y = ? is the x axis
2444,"When converting compound measures into different units, thinks you multiply when the unit of the divisor has become smaller"
2445,Mixes up squaring and addition
2446,Believes the difference between triangle numbers decreases by 1 each time
2447,Believes the reciprocal button writes a fraction
2448,Cannot evaluate if an estimate is an underestimate or overestimate
2449,Done a different calculation to the one given
2450,Does not half sum of parallel sides when finding area of a trapezium
2451,When multiplying a vector by an integer does not multiply all parts of the vector
2452,Believes a parallelogram has one pair of equal sides
2453,Believes particular is the term used to describe two lines at right angles
2454,Confuses corresponding and alternate angles
2455,Tries to apply sohcahtoa to a non right angled triangle
2456,Finds the mode rather than the range
2457,"When asked for the mean of a list of data, gives the median"
2458,Multiplies by the denominator instead of dividing when finding a fraction of an amount
2459,Believes alternate angles sum to 180 degrees
2460,Does not recognise an example of the angles in same segment theorem
2461,"Believes that the larger the dividend, the smaller the answer."
2462,Confuses the position of the median with its value
2463,"When multiplying an integer by a fraction, believes the numerator of the fraction will become the denominator"
2464,"Believes the sides of a rectangle must be horizontal and vertical, not diagonal"
2465,Believes reflection in y = -x changes sign of x coordinate only
2466,Uses tan when sin is required
2467,Does not know the meaning of the word equidistant 
2468,Does not know that three quarters of a turn is 270 degrees
2469,Believes a negative number can be replaced with its positive equivalent when answering an addition problem from a numberline
2470,Believes the mode is the most common frequency rather than the highest frequency
2471,Believes the range is largest add smallest
2472,Does not know how to find the next term in a sequence
2473,Has cubed the base number and the power
2474,Confuses the square root of the radius with the radius squared in the equation of a circle
2475,"When finding the nth term rule for a quadratic sequence, believes they only need to use the first term to calculate the coefficient of n "
2476,Does not write the place holder zero when doing column multiplication
2477,Thinks there are 30 seconds in a minute
2478,Thinks the plan view is from the side of the shape
2479,"When factorising into double brackets, believes the product of the constants in the brackets is of the opposite sign to the constant in the expanded equation."
2480,Thinks powers with different bases cannot be equal
2481,"When multiplying decimals, divides by the wrong power of 10 when reinserting the decimal"
2482,Has written something to the power of 1 as 0.1
2483,Believes that a negative sign in the base of a power means you need to find the reciprocal 
2484,"When converting from an improper fraction to a mixed number, just writes the tens digit as the number of wholes"
2485,"Thinks that times just before midnight are ""am"" times"
2486,Identifies the wrong two angles as base angles of an isosceles
2487,Changes the given operation when substituting
2488,Answers order of operations questions with brackets as if the brackets are not there
2489,Thinks cube numbers are triangular numbers
2490,Assumes Pythagoras' theorem doesn't work if they can spot a pattern between the side lengths
2491,"Thinks that in the equation x=a, a is the gradient"
2492,Confuses rest and movement on a distance time graph
2493,Does not know the properties of a rhombus
2494,Does not know the meaning of consecutive
2495,Compares sizes of angles on a grid by estimating rather than using the gradient of the lines
2496,"Believes composite function notation fg(x) means to multiply the first terms of f and g together, and the second terms of f and g together"
2497,Believes f(x - a) translates the function down a units
2498,Thinks I can be subtracted from L in Roman numerals
2499,Thinks the interior angles of any polygon add up to 180 degrees
2500,Believes the gradient of a line is given by an intercept
2501,Subtracts rather than multiplies when calculating total frequency
2502,Believes a reciprocal equation will have a quadratic graph
2503,Believes that a greater percentage represents a greater quantity
2504,"Does not realise that two letters together, or a number and letter together, are multiplying"
2505,Confuses cl and ml
2506,"Believes cumulative frequency is the sum of each class with the previous class, rather than all previous classes"
2507,Mistakes unit of speed for unit of time
2508,Thinks x = ? is the y axis
2509,Mixes up the sets in a Venn diagram
2510,Only reads the percentage symbol as applying to the units digit
2511,Does not know the properties of a linear graph
2512,"Believes when dividing numbers with the same base you divide the powers, rather than subtracting"
2513,"When finding the nth term rule for a quadratic sequence, believes that the coefficient of n squared is determined by first differences"
2514,Does not cube the conversion factor when converting cubed units
2515,Rounds too early in calculation 
2516,Thinks 3-letter angle notation has to use the nearest vertex on each side of the angle
2517,Does not rearrange the Pythagoras' Theorem formula accurately
2518,May have made a calculation error using the order of operations
2519,Confuses a term with a variable
2520,Believes the fraction line represents addition
2521,Does not know how to measure reflex angles
2522,Believes the total of the circle in a Venn should be included when intersections should be omitted
2523,Has added on the power of 1/4 rather than raise to the power of 1/4
2524,Has added the powers rather than multiplying them
2525,"When dividing decimals, divides rather than multiplies when reinserting the decimal."
2526,Believes a downward line has a positive gradient
2527,"Writes a repeated root once, rather than in a squared bracket"
2528,Thinks that the perimeter on a square grid is the number of squares surrounding the rectangle
2529,Does not think a ton is a unit of mass
2530,Subtracts instead of adds when using inverse operations to solve an equation
2531,Does not understand that the volume of an enlarged shape is the volume of the original multiplied by the cube of the scale factor of the lengths.
2532,Believes order of operations does not affect the answer to a calculation
2533,Does not realise that two letters together are multiplying
2534,When converting between non standard form and standard form assumes changes to the base will not affect the power
2535,Does not add on 180 degrees when using a protractor to measure a reflex angle
2536,Misunderstands the capture-recapture method
2537,Does not know the definition of a rational number
2538,Confuses the value of the variable with cumulative frequency
2539,Believes the inverse of square rooting is halving
2540,Confuses maximum and minimum
2541,"When finding the square root of a decimal, believes the answer should have the same number of decimal places"
2542,Believes that dividing by a decimal is the same as dividing by its reciprocal
2543,"Believes the frequency represented by a pie chart sector can be judged visually, without considering the total it represents"
2544,Confuses reciprocal and exponential graphs
2545,Does not know that prime numbers have exactly two factors
2546,Confuses the hundreds and tens place value columns
2547,Multiplies instead of divides when division is written as a fraction
2548,Does not increase the denominator when an item is added in a probability question
2549,Believes only the first term needs to be divided when factorising an expression
2550,Thinks there are 10m in a km
2551,Believes range does not need units
2552,"When adding decimals, thinks the answer has to have the same number of decimals as the total in the question"
2553,Gives the second significant figure when asked for the first
2554,Thinks the diagonal of a square is the same length as the side of the square
2555,Does not understand how to find a scale factor
2556,Thinks the subtraction sign means multiply
2557,Mixes up cubing and squaring
2558,"When writing fraction from diagram, writes total as denominator"
2559,When dividing numbers with different bases subtracts the powers but divides the base numbers.
2560,Confuses the formulas for the perimeter of a sector and the area of a sector 
2561,"Believes a sample space should show repeated outcomes, not just unique possible outcomes."
2562,Confuses the lower and upper bound
2563,Believes to complete a part whole model you select a value already given in the model
2564,Gives the intersect value of a Venn diagram when asked to find the value of a set only
2565,Confuses the hundreds and thousands place value columns
2566,"When subtracting a negative number, subtracts the absolute value rather than adding it"
2567,Believes they only need to multiply the first pair of terms when expanding a double bracket.
2568,Believes all the multiples of a number will also be multiples of its multiples
2569,Confuses pentagon and hexagon
2570,Confuses interior angles with exterior angles
2571,"When dividing numbers with different bases, divides the powers and divides the base numbers."
2572,Rotates by the wrong center of rotation (not including the origin)
2573,Believes the solution to mx + c = a is the y intercept of y = mx +c
2574,Believes that when multiplying by a power of 10 you add zeroes after the decimal point
2575,Thinks adding same amount to each side of a ratio gives an equivalent ratio
2576,Mixes up square numbers and cube numbers
2577,Does not think a square root can be negative
2578,"Mixes up sides of a ratio, when working with vectors for line segments."
2579,Forgets to add the numerator when converting from a mixed number to an improper fraction 
2580,Believes degrees can be used to measure length
2581,"When factorising a quadratic with a coefficient of x squared, believes the signs and/or positions of the constants are interchangeable"
2582,"When multiplying numbers with the same base, multiplies the powers "
2583,Does not know what a cube number is
2584,Believes that any percentage of a larger number will be greater than any percentage of a smaller number
2585,Believes a cubic expression should have three terms
2586,Misunderstands order of operations in algebraic expressions