bwowe/mis_conv · Datasets at Hugging Face

conversations listlengths 2 2
[ { "from": "human", "value": "Identify common multiples of two numbers \"Common multiples of \\( 2 \\) and \\( 5 \\) are also multiples of \\( 25 \" \\)\nIs this statement... Impossible to say" }, { "from": "gpt", "value": "Does not use the associative property of multiplication to find other factors of a number" } ]
[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Confuses triangular prism with pyramid" } ]
[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Does not realise a triangular prism is a 3D shape" } ]
[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Does not know the definition of a prism" } ]
[ { "from": "human", "value": "Interpret numbers in a frequency table Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{\|c\|c\|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & \\( 3 \\) \\\\\n\\hline \\( 3 \\) & \\( 2 \\) \\\\\n\\hline \\( 4 \\) & \\( 5 \\) \\\\\n\\hline\n\\end{tabular} How many people did Dave record the results of? \\( 5 \\)" }, { "from": "gpt", "value": "Mistakes the number of rows for the total frequency in a frequency table" } ]
[ { "from": "human", "value": "Interpret numbers in a frequency table Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{\|c\|c\|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & \\( 3 \\) \\\\\n\\hline \\( 3 \\) & \\( 2 \\) \\\\\n\\hline \\( 4 \\) & \\( 5 \\) \\\\\n\\hline\n\\end{tabular} How many people did Dave record the results of? \\( 10 \\)" }, { "from": "gpt", "value": "Adds up the variable column when asked for total frequency" } ]
[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All circles are similar\"" }, { "from": "gpt", "value": "Does not realise that all circles are similar" } ]
[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All equilateral triangles are similar\"" }, { "from": "gpt", "value": "Does not realise that all regular shapes of a certain type will be similar" } ]
[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All regular decagons are similar\"" }, { "from": "gpt", "value": "Does not realise that all regular shapes of a certain type will be similar" } ]
[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 809,051 \\)" }, { "from": "gpt", "value": "When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit" } ]
[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 999,051 \\)" }, { "from": "gpt", "value": "When adding powers of 10 adds onto the wrong column" } ]
[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 8,990,510,000 \\)" }, { "from": "gpt", "value": "Multiplies rather than adds when given the command word 'more'" } ]
[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 0.3 \\)" }, { "from": "gpt", "value": "Divides when converting to a smaller unit" } ]
[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 30 \\)" }, { "from": "gpt", "value": "Thinks there are 10g in a kilogram" } ]
[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 300 \\)" }, { "from": "gpt", "value": "Thinks there are 100g in a kilogram" } ]
[ { "from": "human", "value": "Multiply proper fractions in the form: Fraction × Integer Tom and Katie are arguing about the answer to \\( \\frac{1}{5} \\times 9 \\)\nTom says \\( \\frac{1}{5} \\times 9=1 \\frac{4}{5} \\)\nKatie says \\( \\frac{1}{5} \\times 9=\\frac{9}{45} \\)\nWho is correct? Only\nKatie" }, { "from": "gpt", "value": "When multiplying a fraction by an integer, multiplies both numerator and denominator by the integer" } ]
[ { "from": "human", "value": "Recognise graphical representations of inverse proportion in the form y = k/x Which of the following graphs is most likely to illustrate the time taken to complete a job \\( (t) \\) changes depending on the number of people working on it \\( (p) \\) ![A straight line from top left to bottom right, starting from above the origin]()" }, { "from": "gpt", "value": "Believes that graphs of inverse proportion meet the axes" } ]
[ { "from": "human", "value": "Recognise graphical representations of inverse proportion in the form y = k/x Which of the following graphs is most likely to illustrate the time taken to complete a job \\( (t) \\) changes depending on the number of people working on it \\( (p) \\) ![A straight line from bottom left to top right, starting from the origin]()" }, { "from": "gpt", "value": "Confuses the graphs of direct and inverse proportion" } ]
[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 0.036 \\)" }, { "from": "gpt", "value": "When multiplying a decimal less than 1 by an integer, gives an answer 10 times smaller than it should be" } ]
[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 0.306 \\)" }, { "from": "gpt", "value": "When dividing decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant." } ]
[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 3.6 \\)" }, { "from": "gpt", "value": "When multiplying a decimal less than 1 by an integer, gives an answer 10 times bigger than it should be" } ]
[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 30 \\)" }, { "from": "gpt", "value": "Thinks there are 100 ml in a litre" } ]
[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 300 \\)" }, { "from": "gpt", "value": "Thinks there are 10ml in a litre" } ]
[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 3000000 \\)" }, { "from": "gpt", "value": "Multiplies rather than divides" } ]
[ { "from": "human", "value": "Represent the solution to a graphical inequality involving a combination of vertical, horizontal and diagonal lines Which letter describes the region where \\( \\boldsymbol{x}+\\boldsymbol{y} \\leq \\mathbf{3} \\) and \\( \\boldsymbol{y} \\geq \\mathbf{1} \\) ? ![Image is a set of axes with two straight lines drawn. One is x+y=3, which goes through (0,3) and (3,0). The other is y=1 which is a horizontal line going through (0,1). Letter A is in the region that is under x+y=3 and above y=1. Letter B is in the region above both lines. Letter C is in the region that is under y=1 and above x+y=3. Letter D is in the region below both lines.]() C" }, { "from": "gpt", "value": "Mixes up greater than and less than symbols" } ]
[ { "from": "human", "value": "Convert from minutes to hours \\( 3 \\) hours \\( +700 \\) minutes \\( = \\) \\( 10 \\) hours" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes" } ]
[ { "from": "human", "value": "Convert from minutes to hours \\( 3 \\) hours \\( +700 \\) minutes \\( = \\) \\( 14 \\) hours and \\( 66 \\) minutes" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when writing minutes as decimals" } ]
[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.5 \\)" }, { "from": "gpt", "value": "When reading decimals on a number line, assumes each dash is 0.5" } ]
[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.8 \\)" }, { "from": "gpt", "value": "Estimates a measurement on a diagram rather than working it out" } ]
[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.9 \\)" }, { "from": "gpt", "value": "When reading decimals on a number line, assumes each dash is 0.1" } ]
[ { "from": "human", "value": "Construct an angle of 60° using a ruler and a compass Which of the following best describes how to construct an angle of \\( 60^{\\circ} \\) using a ruler and a pair of compasses? - Draw a straight line with a ruler\n- Set the compasses to a width at least the length of the line\n- Draw an arc above the line and below from one end of the line\n- Do the same from the other end of the line \n- Join up where the lines intersect" }, { "from": "gpt", "value": "Believes constructing a perpendicular gives an angle of 60 degrees" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Only Tom" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand how to solve linear two step equations" } ]
[ { "from": "human", "value": "Identify factors of algebraic expressions Tom and Katie are discussing factors\n\nTom says \\( 3 \\) is a common factor of \\( 18 x \\) and \\( 29 y \\)\n\nKatie says \\( x \\) is a common factor of \\( 6 x \\) and \\( 9 y \\)\n\nWho is correct? Only\nTom" }, { "from": "gpt", "value": "Thinks a factor of the final digit is also a factor of the whole number" } ]
[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Only Tom" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]
[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Both Tom and Katie" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]
[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Neither is correct" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 0 \\)" }, { "from": "gpt", "value": "Fails to identify any rotational symmetry " } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 1 \\)" }, { "from": "gpt", "value": "Gives one fewer order of rotational symmetry than there is" } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 4 \\)" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]
[ { "from": "human", "value": "Simplify fractions that simplify to a non-unit fraction Simplify fully (if possible): \\( \\frac{45}{60} \\) \\( \\frac{9}{12} \\)" }, { "from": "gpt", "value": "Does not fully simplify fraction" } ]
[ { "from": "human", "value": "Simplify fractions that simplify to a non-unit fraction Simplify fully (if possible): \\( \\frac{45}{60} \\) \\( \\frac{21}{28} \\)" }, { "from": "gpt", "value": "Does not fully simplify fraction" } ]
[ { "from": "human", "value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{q} \\) ? ![A set of axes with a quadratic curve drawn on. The curve is y=x^2 translated 2 squares to the right and 9 squares down.]() \\( 2 \\)" }, { "from": "gpt", "value": "In completed square form, confuses the x and y coordinates of the turning point" } ]
[ { "from": "human", "value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{q} \\) ? ![A set of axes with a quadratic curve drawn on. The curve is y=x^2 translated 2 squares to the right and 9 squares down.]() \\( 9 \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the sign of the constant to get the turning point" } ]
[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( x(x-64) \\)" }, { "from": "gpt", "value": "Does not recognise difference of two squares" } ]
[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( x(x-8) \\)" }, { "from": "gpt", "value": "Does not recognise difference of two squares" } ]
[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( (x-8)(x-8) \\)" }, { "from": "gpt", "value": "Factorises difference of two squares with the same sign in both brackets" } ]
[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() \\( 360^{\\degree} \\)" }, { "from": "gpt", "value": "Thinks the interior angles of any polygon add up to 360" } ]
[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() \\( 720^{\\degree} \\)" }, { "from": "gpt", "value": "Subtracts 1 rather than 2 from the number of sides when finding the sum of interior angles" } ]
[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() Not enough information to work it out" }, { "from": "gpt", "value": "Thinks rule for calculating interior angles only applies to regular polygons" } ]
[ { "from": "human", "value": "Divide proper fractions in the form: Fraction ÷ Integer What fraction replaces the question mark? ![A bar split into 7 equal pieces. 3 are shaded, and one of these is labelled with a question mark.]() \\( \\frac{1}{3} \\)" }, { "from": "gpt", "value": "Identifies the wrong part of a fraction model as the whole" } ]
[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]
[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Only\nPaul" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]
[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Both Jo and Paul" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]
[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (1,-4) \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the signs of both values to get the turning point" } ]
[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (-1,4) \\)" }, { "from": "gpt", "value": "Believes the solutions of a quadratic equation are the constants in the factorised form" } ]
[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (-1,-4) \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the sign of the constant to get the turning point" } ]
[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{8}{20} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]
[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{8}{10} \\)" }, { "from": "gpt", "value": "Forgot to simplify the fraction" } ]
[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{4}{10} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]
[ { "from": "human", "value": "Describe a reflection in a vertical line by drawing the line of reflection, where the line of reflection lies on the edge or outside the object ![A grid of 8 squares across and 7 squares up. A blue isosceles triangle, labelled \"P\", is drawn on the grid. Its corners are at points: 4 squares up from the bottom left corner of the grid; 2 squares right and 3 squares up from the bottom left corner of the grid; 2 squares right and 5 squares up from the bottom left corner of the grid. Another blue isosceles triangle (identical shape and size to P), labelled \"Q\", is also drawn on the grid. Its corners are at points: 6 squares right and 3 squares up from the bottom left corner of the grid; 6 squares right and 5 squares up from the bottom left corner of the grid; 8 squares right and 4 squares up from the bottom left corner of the grid.\nA light blue vertical line, labelled \"A\" goes from top to bottom of the grid, 2 squares to the right of the left-hand side of the grid. A dark blue vertical line, labelled \"B\" goes from top to bottom of the grid, 4 squares to the right of the left-hand side of the grid. A green vertical line, labelled \"C\" goes from top to bottom of the grid, 5 squares to the right of the left-hand side of the grid. ]() Which is the correct line of reflection to map triangle \\( \\mathrm{P} \\) to triangle \\( \\mathrm{Q} \\) ? A" }, { "from": "gpt", "value": "Believes a line of reflection must be touching the original shape" } ]
[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 92, divisor = 4, the digits of the quotient are represented by a yellow star and a purple triangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]
[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 92, divisor = 4, the digits of the quotient are represented by a yellow star and a purple triangle.]() \\( 1 \\)" }, { "from": "gpt", "value": "When dividing, confuses the remainder with the quotient" } ]
[ { "from": "human", "value": "Given a positive y value, find an x value in a table of values for lines in the form ax + by = c This is a part of the table of values for the equation\n\\[\n2 x+3 y=12\n\\] \\begin{tabular}{\|c\|c\|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 0 \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( 4 \\)" }, { "from": "gpt", "value": "Mixes up the value of two terms when substituting" } ]
[ { "from": "human", "value": "Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative Amy is trying to work out the distance between these two points: \\( (1,-6) \\) and \\( (-5,2) \\) She wants to use a formula.\n\nWhich formula should she use? \\( \\left(\\frac{x_{1}+x_{2}}{2}, \\frac{y_{1}+y_{2}}{2}\\right) \\)" }, { "from": "gpt", "value": "Confuses midpoint and distance between two points" } ]
[ { "from": "human", "value": "Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative Amy is trying to work out the distance between these two points: \\( (1,-6) \\) and \\( (-5,2) \\) She wants to use a formula.\n\nWhich formula should she use? \\( \\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\)" }, { "from": "gpt", "value": "Confuses the method for finding the gradient and length of a line segment" } ]
[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 A bag contains some strawberry sweets, some orange sweets and some blackcurrant sweets.\n\nThe probability of choosing a strawberry sweet is \\( 0.8 \\).\n\nWhat is the probability of choosing an orange sweet? \\( \\frac{1}{3} \\)" }, { "from": "gpt", "value": "Thinks that probabilities of an event occurring or not occurring must be equal" } ]
[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 A bag contains some strawberry sweets, some orange sweets and some blackcurrant sweets.\n\nThe probability of choosing a strawberry sweet is \\( 0.8 \\).\n\nWhat is the probability of choosing an orange sweet? \\( 0.2 \\)" }, { "from": "gpt", "value": "Does not understand that the probability of something not happening is 1 minus the probability of it happening" } ]
[ { "from": "human", "value": "Solve problems that combine addition and subtraction Amy is collecting shells on the beach. She collected \\( 16 \\) shells on Monday. She collected \\( 11 \\) less shells on Tuesday than on Monday.\nHow many shells does Amy have altogether? \\( 27 \\)" }, { "from": "gpt", "value": "Adds rather than subtracts when answering worded problems" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 24 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 122 \\)" }, { "from": "gpt", "value": "Writes the index as a digit on the end of a number" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 1212 \\)" }, { "from": "gpt", "value": "Repeats the digits twice when squaring a number" } ]
[ { "from": "human", "value": "Calculate questions involving the power law of indices with negative integer powers Tom and Katie are discussing \\( \\boldsymbol{y}=\\mathbf{3}^{\\boldsymbol{x}} \\)\nTom says there is no value of \\( x \\) that can make \\( y \\) negative.\nKatie says there is no value of \\( x \\) that can make \\( y \\) equal to \\( 0 \\).\nWho is correct? Only Katie" }, { "from": "gpt", "value": "Believes a negative power results in a negative answer" } ]
[ { "from": "human", "value": "Multiply an integer and an algebraic term John is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![\\( (x+5)(x-3) \\)]() \\( +3 x \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]
[ { "from": "human", "value": "Multiply an integer and an algebraic term John is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![\\( (x+5)(x-3) \\)]() \\( x-3 \\)" }, { "from": "gpt", "value": "Adds instead of multiplying when expanding bracket" } ]
[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{7}{12} \\)" }, { "from": "gpt", "value": "Adds instead of subtracts" } ]
[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{4}{6} \\)" }, { "from": "gpt", "value": "When subtracting fractions, subtracts the numerators and denominators" } ]
[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{4}{12} \\)" }, { "from": "gpt", "value": "Does not understand how to maintain equivalence in fractions" } ]
[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? \\( 180^{\\circ} \\)" }, { "from": "gpt", "value": "Does not think that a variable with no coefficient has a coefficient of 1." } ]
[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? \\( 90^{\\circ} \\)" }, { "from": "gpt", "value": "Assumes an angle is the size that it looks in the (not to scale) diagram" } ]
[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? Not enough information" }, { "from": "gpt", "value": "Does not use angle facts when setting up an equation from an angle diagram" } ]
[ { "from": "human", "value": "Interpret numbers in a frequency table The frequency table shows the grade achieved by some students in a maths exam.\nHow many more students achieved a grade \\( 5 \\) than a grade \\( 1 \\) ? ![\\begin{tabular}{\|c\|c\|}\n\\hline Grade & Frequency \\\\\n\\hline \\( 1 \\) & \\( 4 \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 1 \\) \\\\\n\\hline \\( 4 \\) & \\( 8 \\) \\\\\n\\hline \\( 5 \\) & \\( 10 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 10 \\)" }, { "from": "gpt", "value": "Ignores a more than question and just states one of the values" } ]
[ { "from": "human", "value": "Interpret numbers in a frequency table The frequency table shows the grade achieved by some students in a maths exam.\nHow many more students achieved a grade \\( 5 \\) than a grade \\( 1 \\) ? ![\\begin{tabular}{\|c\|c\|}\n\\hline Grade & Frequency \\\\\n\\hline \\( 1 \\) & \\( 4 \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 1 \\) \\\\\n\\hline \\( 4 \\) & \\( 8 \\) \\\\\n\\hline \\( 5 \\) & \\( 10 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 4 \\)" }, { "from": "gpt", "value": "Ignores a more than question and just states one of the values" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(\n\\frac{t+1}{3}=\\frac{5}{4}\n\\) \\( t=-\\frac{7}{12} \\)" }, { "from": "gpt", "value": "When multiplying a fraction by an integer, multiplies the denominator instead of the numerator" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(\n\\frac{t+1}{3}=\\frac{5}{4}\n\\) \\( t=\\frac{3}{4} \\)" }, { "from": "gpt", "value": "Adds or subtracts from numerator first when solving an equation with a fraction" } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (3,1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (3,0) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (1,3) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols ![\\( \\begin{array}{l}\\square \\square \\square \\circ \\circ=22 \\\\ \\square \\square \\circ \\circ=18\\end{array} \\)]() What is the value of a square? \\( 6 \\)" }, { "from": "gpt", "value": "When asked to solve simultaneous equations, believes they can just find values that work in one equation" } ]
[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 84, divisor = 6, quotient is represented by a yellow star and a purple triangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]
[ { "from": "human", "value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-\\frac{1}{3} y \\leq-6\\) \\( y \\leq 18 \\)" }, { "from": "gpt", "value": "Believes they can multiply/divide through by a negative number without changing the direction of the inequality" } ]
[ { "from": "human", "value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-\\frac{1}{3} y \\leq-6\\) \\( y \\geq 2 \\)" }, { "from": "gpt", "value": "Believes dividing by a unit fraction is equivalent to dividing by its reciprocal" } ]
[ { "from": "human", "value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the star? \\( \\frac{ \\bigstar\\pm \\sqrt{?-?}}{?} \\) \\( -4 \\)" }, { "from": "gpt", "value": "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. " } ]
[ { "from": "human", "value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the star? \\( \\frac{ \\bigstar\\pm \\sqrt{?-?}}{?} \\) \\( -5 \\)" }, { "from": "gpt", "value": "Does not realise a quadratic must be in the form ax^2+bx+c=0 to be factorised" } ]
[ { "from": "human", "value": "Identify and distinguish between polygons and non-polygons Tom and Katie are discussing polygons Tom says this is a polygon: ![Triangle]() Katie says this is a polygon: ![Semi-circle]() Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Believes a polygon can have curved sides" } ]
[ { "from": "human", "value": "Identify and distinguish between polygons and non-polygons Tom and Katie are discussing polygons Tom says this is a polygon: ![Triangle]() Katie says this is a polygon: ![Semi-circle]() Who is correct? Neither is correct" }, { "from": "gpt", "value": "Thinks the term polygons only applies to shapes with more than 3 sides" } ]
[ { "from": "human", "value": "Rearrange formulae to change the subject where the subject appears once and one step is needed Step \\( 2 \\)\n\nWhich is the correct next step rearrangement of the following formula, making \\( u \\) the subject?\n\\[\n7 t-13=u(5+2 t)\n\\] \\( u=5 t-8 \\)" }, { "from": "gpt", "value": "When solving an equation, subtracts instead of dividing" } ]
[ { "from": "human", "value": "Rearrange formulae to change the subject where the subject appears once and one step is needed Step \\( 2 \\)\n\nWhich is the correct next step rearrangement of the following formula, making \\( u \\) the subject?\n\\[\n7 t-13=u(5+2 t)\n\\] \\( u=9 t-8 \\)" }, { "from": "gpt", "value": "Misunderstands the process of making a variable the subject of an equation" } ]
[ { "from": "human", "value": "Change decimals of hours into minutes \\( 1.5 \\) hours \\( = _______\\) minutes \\( 150 \\)" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes" } ]

[ { "from": "human", "value": "Identify common multiples of two numbers \"Common multiples of \\( 2 \\) and \\( 5 \\) are also multiples of \\( 25 \" \\)\nIs this statement... Impossible to say" }, { "from": "gpt", "value": "Does not use the associative property of multiplication to find other factors of a number" } ]

[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Confuses triangular prism with pyramid" } ]

[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Does not realise a triangular prism is a 3D shape" } ]

[ { "from": "human", "value": "Identify a prism from a diagram Which of the following shapes is a triangular prism? ![An incorrect answer]()" }, { "from": "gpt", "value": "Does not know the definition of a prism" } ]

[ { "from": "human", "value": "Interpret numbers in a frequency table Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & \\( 3 \\) \\\\\n\\hline \\( 3 \\) & \\( 2 \\) \\\\\n\\hline \\( 4 \\) & \\( 5 \\) \\\\\n\\hline\n\\end{tabular} How many people did Dave record the results of? \\( 5 \\)" }, { "from": "gpt", "value": "Mistakes the number of rows for the total frequency in a frequency table" } ]

[ { "from": "human", "value": "Interpret numbers in a frequency table Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & \\( 3 \\) \\\\\n\\hline \\( 3 \\) & \\( 2 \\) \\\\\n\\hline \\( 4 \\) & \\( 5 \\) \\\\\n\\hline\n\\end{tabular} How many people did Dave record the results of? \\( 10 \\)" }, { "from": "gpt", "value": "Adds up the variable column when asked for total frequency" } ]

[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All circles are similar\"" }, { "from": "gpt", "value": "Does not realise that all circles are similar" } ]

[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All equilateral triangles are similar\"" }, { "from": "gpt", "value": "Does not realise that all regular shapes of a certain type will be similar" } ]

[ { "from": "human", "value": "Identify whether two shapes are similar or not Which of these statements is false? \"All regular decagons are similar\"" }, { "from": "gpt", "value": "Does not realise that all regular shapes of a certain type will be similar" } ]

[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 809,051 \\)" }, { "from": "gpt", "value": "When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit" } ]

[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 999,051 \\)" }, { "from": "gpt", "value": "When adding powers of 10 adds onto the wrong column" } ]

[ { "from": "human", "value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 899,051 \\) ? \\( 8,990,510,000 \\)" }, { "from": "gpt", "value": "Multiplies rather than adds when given the command word 'more'" } ]

[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 0.3 \\)" }, { "from": "gpt", "value": "Divides when converting to a smaller unit" } ]

[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 30 \\)" }, { "from": "gpt", "value": "Thinks there are 10g in a kilogram" } ]

[ { "from": "human", "value": "Convert between kg and g \\( 3 \\) kilograms \\( =\\bigstar \\) grams What should replace the star? \\( 300 \\)" }, { "from": "gpt", "value": "Thinks there are 100g in a kilogram" } ]

[ { "from": "human", "value": "Multiply proper fractions in the form: Fraction × Integer Tom and Katie are arguing about the answer to \\( \\frac{1}{5} \\times 9 \\)\nTom says \\( \\frac{1}{5} \\times 9=1 \\frac{4}{5} \\)\nKatie says \\( \\frac{1}{5} \\times 9=\\frac{9}{45} \\)\nWho is correct? Only\nKatie" }, { "from": "gpt", "value": "When multiplying a fraction by an integer, multiplies both numerator and denominator by the integer" } ]

[ { "from": "human", "value": "Recognise graphical representations of inverse proportion in the form y = k/x Which of the following graphs is most likely to illustrate the time taken to complete a job \\( (t) \\) changes depending on the number of people working on it \\( (p) \\) ![A straight line from top left to bottom right, starting from above the origin]()" }, { "from": "gpt", "value": "Believes that graphs of inverse proportion meet the axes" } ]

[ { "from": "human", "value": "Recognise graphical representations of inverse proportion in the form y = k/x Which of the following graphs is most likely to illustrate the time taken to complete a job \\( (t) \\) changes depending on the number of people working on it \\( (p) \\) ![A straight line from bottom left to top right, starting from the origin]()" }, { "from": "gpt", "value": "Confuses the graphs of direct and inverse proportion" } ]

[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 0.036 \\)" }, { "from": "gpt", "value": "When multiplying a decimal less than 1 by an integer, gives an answer 10 times smaller than it should be" } ]

[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 0.306 \\)" }, { "from": "gpt", "value": "When dividing decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant." } ]

[ { "from": "human", "value": "Multiply a decimal by an integer Work out:\n\\[\n0.03 \\times 12\n\\] \\( 3.6 \\)" }, { "from": "gpt", "value": "When multiplying a decimal less than 1 by an integer, gives an answer 10 times bigger than it should be" } ]

[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 30 \\)" }, { "from": "gpt", "value": "Thinks there are 100 ml in a litre" } ]

[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 300 \\)" }, { "from": "gpt", "value": "Thinks there are 10ml in a litre" } ]

[ { "from": "human", "value": "Convert between ml and l \\( 3000 \\mathrm{ml} \\) is the same as \\(___\\) litres \\( 3000000 \\)" }, { "from": "gpt", "value": "Multiplies rather than divides" } ]

[ { "from": "human", "value": "Represent the solution to a graphical inequality involving a combination of vertical, horizontal and diagonal lines Which letter describes the region where \\( \\boldsymbol{x}+\\boldsymbol{y} \\leq \\mathbf{3} \\) and \\( \\boldsymbol{y} \\geq \\mathbf{1} \\) ? ![Image is a set of axes with two straight lines drawn. One is x+y=3, which goes through (0,3) and (3,0). The other is y=1 which is a horizontal line going through (0,1). Letter A is in the region that is under x+y=3 and above y=1. Letter B is in the region above both lines. Letter C is in the region that is under y=1 and above x+y=3. Letter D is in the region below both lines.]() C" }, { "from": "gpt", "value": "Mixes up greater than and less than symbols" } ]

[ { "from": "human", "value": "Convert from minutes to hours \\( 3 \\) hours \\( +700 \\) minutes \\( = \\) \\( 10 \\) hours" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes" } ]

[ { "from": "human", "value": "Convert from minutes to hours \\( 3 \\) hours \\( +700 \\) minutes \\( = \\) \\( 14 \\) hours and \\( 66 \\) minutes" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when writing minutes as decimals" } ]

[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.5 \\)" }, { "from": "gpt", "value": "When reading decimals on a number line, assumes each dash is 0.5" } ]

[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.8 \\)" }, { "from": "gpt", "value": "Estimates a measurement on a diagram rather than working it out" } ]

[ { "from": "human", "value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A horizontal number-line with 9 vertical, equally spaced, dashes representing the position of numbers. \"0\" above the 1st dash and \"2\" above the last dash are the only numbers marked on the line. A red arrow is pointing to the 8th dash.]() What number is the arrow pointing to? \\( 1.9 \\)" }, { "from": "gpt", "value": "When reading decimals on a number line, assumes each dash is 0.1" } ]

[ { "from": "human", "value": "Construct an angle of 60° using a ruler and a compass Which of the following best describes how to construct an angle of \\( 60^{\\circ} \\) using a ruler and a pair of compasses? - Draw a straight line with a ruler\n- Set the compasses to a width at least the length of the line\n- Draw an arc above the line and below from one end of the line\n- Do the same from the other end of the line \n- Join up where the lines intersect" }, { "from": "gpt", "value": "Believes constructing a perpendicular gives an angle of 60 degrees" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Only Tom" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are arguing about a first step to solve this equation:\n\\(\n4(m-1)=20\n\\)\nTom says you can write: \\( 4 m=21 \\)\nKatie says you can write: \\( m-1=5 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand how to solve linear two step equations" } ]

[ { "from": "human", "value": "Identify factors of algebraic expressions Tom and Katie are discussing factors\n\nTom says \\( 3 \\) is a common factor of \\( 18 x \\) and \\( 29 y \\)\n\nKatie says \\( x \\) is a common factor of \\( 6 x \\) and \\( 9 y \\)\n\nWho is correct? Only\nTom" }, { "from": "gpt", "value": "Thinks a factor of the final digit is also a factor of the whole number" } ]

[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Only Tom" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]

[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Both Tom and Katie" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]

[ { "from": "human", "value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says arrowhead\nKatie says rhombus\nWho do you agree with? Neither is correct" }, { "from": "gpt", "value": "Believes an arrowhead has four equal sides" } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 0 \\)" }, { "from": "gpt", "value": "Fails to identify any rotational symmetry " } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 1 \\)" }, { "from": "gpt", "value": "Gives one fewer order of rotational symmetry than there is" } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape ![Q]() What is the order of rotational symmetry of this shape? \\( 4 \\)" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]

[ { "from": "human", "value": "Simplify fractions that simplify to a non-unit fraction Simplify fully (if possible): \\( \\frac{45}{60} \\) \\( \\frac{9}{12} \\)" }, { "from": "gpt", "value": "Does not fully simplify fraction" } ]

[ { "from": "human", "value": "Simplify fractions that simplify to a non-unit fraction Simplify fully (if possible): \\( \\frac{45}{60} \\) \\( \\frac{21}{28} \\)" }, { "from": "gpt", "value": "Does not fully simplify fraction" } ]

[ { "from": "human", "value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{q} \\) ? ![A set of axes with a quadratic curve drawn on. The curve is y=x^2 translated 2 squares to the right and 9 squares down.]() \\( 2 \\)" }, { "from": "gpt", "value": "In completed square form, confuses the x and y coordinates of the turning point" } ]

[ { "from": "human", "value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{q} \\) ? ![A set of axes with a quadratic curve drawn on. The curve is y=x^2 translated 2 squares to the right and 9 squares down.]() \\( 9 \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the sign of the constant to get the turning point" } ]

[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( x(x-64) \\)" }, { "from": "gpt", "value": "Does not recognise difference of two squares" } ]

[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( x(x-8) \\)" }, { "from": "gpt", "value": "Does not recognise difference of two squares" } ]

[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - c When factorised, \\( x^{2}-64 \\) will become... \\( (x-8)(x-8) \\)" }, { "from": "gpt", "value": "Factorises difference of two squares with the same sign in both brackets" } ]

[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() \\( 360^{\\degree} \\)" }, { "from": "gpt", "value": "Thinks the interior angles of any polygon add up to 360" } ]

[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() \\( 720^{\\degree} \\)" }, { "from": "gpt", "value": "Subtracts 1 rather than 2 from the number of sides when finding the sum of interior angles" } ]

[ { "from": "human", "value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Image of an irregular pentagon]() Not enough information to work it out" }, { "from": "gpt", "value": "Thinks rule for calculating interior angles only applies to regular polygons" } ]

[ { "from": "human", "value": "Divide proper fractions in the form: Fraction ÷ Integer What fraction replaces the question mark? ![A bar split into 7 equal pieces. 3 are shaded, and one of these is labelled with a question mark.]() \\( \\frac{1}{3} \\)" }, { "from": "gpt", "value": "Identifies the wrong part of a fraction model as the whole" } ]

[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]

[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Only\nPaul" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]

[ { "from": "human", "value": "Solve linear equations with the variable appearing on both sides, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(2 v-5=6 v-3\\)\n\nJo says you can write: \\( 2 v-8=6 v \\)\n\nPaul says you can write: \\( 2 v=6 v-8 \\)\n\nWho is correct? Both Jo and Paul" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]

[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (1,-4) \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the signs of both values to get the turning point" } ]

[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (-1,4) \\)" }, { "from": "gpt", "value": "Believes the solutions of a quadratic equation are the constants in the factorised form" } ]

[ { "from": "human", "value": "State the coordinates of the turning point for quadratic graphs in the form (x + p)² + q What are the co-ordinates of the turning point of the graph of \\( y=(x-1)^{2}+4 \\) ? \\( (-1,-4) \\)" }, { "from": "gpt", "value": "Believes that in completed square form, they need to change the sign of the constant to get the turning point" } ]

[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{8}{20} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]

[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{8}{10} \\)" }, { "from": "gpt", "value": "Forgot to simplify the fraction" } ]

[ { "from": "human", "value": "Add proper fractions with the same denominator Work out:\n\\(\n\\frac{3}{10}+\\frac{5}{10}\n\\)\nWrite your answer in its simplest form. \\( \\frac{4}{10} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]

[ { "from": "human", "value": "Describe a reflection in a vertical line by drawing the line of reflection, where the line of reflection lies on the edge or outside the object ![A grid of 8 squares across and 7 squares up. A blue isosceles triangle, labelled \"P\", is drawn on the grid. Its corners are at points: 4 squares up from the bottom left corner of the grid; 2 squares right and 3 squares up from the bottom left corner of the grid; 2 squares right and 5 squares up from the bottom left corner of the grid. Another blue isosceles triangle (identical shape and size to P), labelled \"Q\", is also drawn on the grid. Its corners are at points: 6 squares right and 3 squares up from the bottom left corner of the grid; 6 squares right and 5 squares up from the bottom left corner of the grid; 8 squares right and 4 squares up from the bottom left corner of the grid.\nA light blue vertical line, labelled \"A\" goes from top to bottom of the grid, 2 squares to the right of the left-hand side of the grid. A dark blue vertical line, labelled \"B\" goes from top to bottom of the grid, 4 squares to the right of the left-hand side of the grid. A green vertical line, labelled \"C\" goes from top to bottom of the grid, 5 squares to the right of the left-hand side of the grid. ]() Which is the correct line of reflection to map triangle \\( \\mathrm{P} \\) to triangle \\( \\mathrm{Q} \\) ? A" }, { "from": "gpt", "value": "Believes a line of reflection must be touching the original shape" } ]

[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 92, divisor = 4, the digits of the quotient are represented by a yellow star and a purple triangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]

[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 92, divisor = 4, the digits of the quotient are represented by a yellow star and a purple triangle.]() \\( 1 \\)" }, { "from": "gpt", "value": "When dividing, confuses the remainder with the quotient" } ]

[ { "from": "human", "value": "Given a positive y value, find an x value in a table of values for lines in the form ax + by = c This is a part of the table of values for the equation\n\\[\n2 x+3 y=12\n\\] \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 0 \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( 4 \\)" }, { "from": "gpt", "value": "Mixes up the value of two terms when substituting" } ]

[ { "from": "human", "value": "Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative Amy is trying to work out the distance between these two points: \\( (1,-6) \\) and \\( (-5,2) \\) She wants to use a formula.\n\nWhich formula should she use? \\( \\left(\\frac{x_{1}+x_{2}}{2}, \\frac{y_{1}+y_{2}}{2}\\right) \\)" }, { "from": "gpt", "value": "Confuses midpoint and distance between two points" } ]

[ { "from": "human", "value": "Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative Amy is trying to work out the distance between these two points: \\( (1,-6) \\) and \\( (-5,2) \\) She wants to use a formula.\n\nWhich formula should she use? \\( \\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\)" }, { "from": "gpt", "value": "Confuses the method for finding the gradient and length of a line segment" } ]

[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 A bag contains some strawberry sweets, some orange sweets and some blackcurrant sweets.\n\nThe probability of choosing a strawberry sweet is \\( 0.8 \\).\n\nWhat is the probability of choosing an orange sweet? \\( \\frac{1}{3} \\)" }, { "from": "gpt", "value": "Thinks that probabilities of an event occurring or not occurring must be equal" } ]

[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 A bag contains some strawberry sweets, some orange sweets and some blackcurrant sweets.\n\nThe probability of choosing a strawberry sweet is \\( 0.8 \\).\n\nWhat is the probability of choosing an orange sweet? \\( 0.2 \\)" }, { "from": "gpt", "value": "Does not understand that the probability of something not happening is 1 minus the probability of it happening" } ]

[ { "from": "human", "value": "Solve problems that combine addition and subtraction Amy is collecting shells on the beach. She collected \\( 16 \\) shells on Monday. She collected \\( 11 \\) less shells on Tuesday than on Monday.\nHow many shells does Amy have altogether? \\( 27 \\)" }, { "from": "gpt", "value": "Adds rather than subtracts when answering worded problems" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 24 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 122 \\)" }, { "from": "gpt", "value": "Writes the index as a digit on the end of a number" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( 12^{2}= \\) \\( 1212 \\)" }, { "from": "gpt", "value": "Repeats the digits twice when squaring a number" } ]

[ { "from": "human", "value": "Calculate questions involving the power law of indices with negative integer powers Tom and Katie are discussing \\( \\boldsymbol{y}=\\mathbf{3}^{\\boldsymbol{x}} \\)\nTom says there is no value of \\( x \\) that can make \\( y \\) negative.\nKatie says there is no value of \\( x \\) that can make \\( y \\) equal to \\( 0 \\).\nWho is correct? Only Katie" }, { "from": "gpt", "value": "Believes a negative power results in a negative answer" } ]

[ { "from": "human", "value": "Multiply an integer and an algebraic term John is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![\\( (x+5)(x-3) \\)]() \\( +3 x \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]

[ { "from": "human", "value": "Multiply an integer and an algebraic term John is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![\\( (x+5)(x-3) \\)]() \\( x-3 \\)" }, { "from": "gpt", "value": "Adds instead of multiplying when expanding bracket" } ]

[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{7}{12} \\)" }, { "from": "gpt", "value": "Adds instead of subtracts" } ]

[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{4}{6} \\)" }, { "from": "gpt", "value": "When subtracting fractions, subtracts the numerators and denominators" } ]

[ { "from": "human", "value": "Subtract proper fractions with different denominators where one is a multiple of the other \\( \\frac{5}{12}-\\frac{1}{6}= \\) \\( \\frac{4}{12} \\)" }, { "from": "gpt", "value": "Does not understand how to maintain equivalence in fractions" } ]

[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? \\( 180^{\\circ} \\)" }, { "from": "gpt", "value": "Does not think that a variable with no coefficient has a coefficient of 1." } ]

[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? \\( 90^{\\circ} \\)" }, { "from": "gpt", "value": "Assumes an angle is the size that it looks in the (not to scale) diagram" } ]

[ { "from": "human", "value": "Use angles around a point to form and solve algebraic equations ![Two angles around a point, labelled 2y and y]() What is the size of angle \\( y \\) ? Not enough information" }, { "from": "gpt", "value": "Does not use angle facts when setting up an equation from an angle diagram" } ]

[ { "from": "human", "value": "Interpret numbers in a frequency table The frequency table shows the grade achieved by some students in a maths exam.\nHow many more students achieved a grade \\( 5 \\) than a grade \\( 1 \\) ? ![\\begin{tabular}{|c|c|}\n\\hline Grade & Frequency \\\\\n\\hline \\( 1 \\) & \\( 4 \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 1 \\) \\\\\n\\hline \\( 4 \\) & \\( 8 \\) \\\\\n\\hline \\( 5 \\) & \\( 10 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 10 \\)" }, { "from": "gpt", "value": "Ignores a more than question and just states one of the values" } ]

[ { "from": "human", "value": "Interpret numbers in a frequency table The frequency table shows the grade achieved by some students in a maths exam.\nHow many more students achieved a grade \\( 5 \\) than a grade \\( 1 \\) ? ![\\begin{tabular}{|c|c|}\n\\hline Grade & Frequency \\\\\n\\hline \\( 1 \\) & \\( 4 \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 1 \\) \\\\\n\\hline \\( 4 \\) & \\( 8 \\) \\\\\n\\hline \\( 5 \\) & \\( 10 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 4 \\)" }, { "from": "gpt", "value": "Ignores a more than question and just states one of the values" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(\n\\frac{t+1}{3}=\\frac{5}{4}\n\\) \\( t=-\\frac{7}{12} \\)" }, { "from": "gpt", "value": "When multiplying a fraction by an integer, multiplies the denominator instead of the numerator" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(\n\\frac{t+1}{3}=\\frac{5}{4}\n\\) \\( t=\\frac{3}{4} \\)" }, { "from": "gpt", "value": "Adds or subtracts from numerator first when solving an equation with a fraction" } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (3,1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (3,0) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object The triangle is reflected in the \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -1 to 6, y-axis from -4 to 2. Three points are plotted and joined to make a triangle: (2, 0), (4, 0), (3, 1). Point (3, 1) is labelled with the letter \"P\". ]() \\( (1,3) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols ![\\( \\begin{array}{l}\\square \\square \\square \\circ \\circ=22 \\\\ \\square \\square \\circ \\circ=18\\end{array} \\)]() What is the value of a square? \\( 6 \\)" }, { "from": "gpt", "value": "When asked to solve simultaneous equations, believes they can just find values that work in one equation" } ]

[ { "from": "human", "value": "Divide integers up to 2 digits using long division When using long-division to solve this problem, what digit should replace the triangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 84, divisor = 6, quotient is represented by a yellow star and a purple triangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]

[ { "from": "human", "value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-\\frac{1}{3} y \\leq-6\\) \\( y \\leq 18 \\)" }, { "from": "gpt", "value": "Believes they can multiply/divide through by a negative number without changing the direction of the inequality" } ]

[ { "from": "human", "value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-\\frac{1}{3} y \\leq-6\\) \\( y \\geq 2 \\)" }, { "from": "gpt", "value": "Believes dividing by a unit fraction is equivalent to dividing by its reciprocal" } ]

[ { "from": "human", "value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the star? \\( \\frac{ \\bigstar\\pm \\sqrt{?-?}}{?} \\) \\( -4 \\)" }, { "from": "gpt", "value": "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. " } ]

[ { "from": "human", "value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the star? \\( \\frac{ \\bigstar\\pm \\sqrt{?-?}}{?} \\) \\( -5 \\)" }, { "from": "gpt", "value": "Does not realise a quadratic must be in the form ax^2+bx+c=0 to be factorised" } ]

[ { "from": "human", "value": "Identify and distinguish between polygons and non-polygons Tom and Katie are discussing polygons Tom says this is a polygon: ![Triangle]() Katie says this is a polygon: ![Semi-circle]() Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Believes a polygon can have curved sides" } ]

[ { "from": "human", "value": "Identify and distinguish between polygons and non-polygons Tom and Katie are discussing polygons Tom says this is a polygon: ![Triangle]() Katie says this is a polygon: ![Semi-circle]() Who is correct? Neither is correct" }, { "from": "gpt", "value": "Thinks the term polygons only applies to shapes with more than 3 sides" } ]

[ { "from": "human", "value": "Rearrange formulae to change the subject where the subject appears once and one step is needed Step \\( 2 \\)\n\nWhich is the correct next step rearrangement of the following formula, making \\( u \\) the subject?\n\\[\n7 t-13=u(5+2 t)\n\\] \\( u=5 t-8 \\)" }, { "from": "gpt", "value": "When solving an equation, subtracts instead of dividing" } ]

[ { "from": "human", "value": "Rearrange formulae to change the subject where the subject appears once and one step is needed Step \\( 2 \\)\n\nWhich is the correct next step rearrangement of the following formula, making \\( u \\) the subject?\n\\[\n7 t-13=u(5+2 t)\n\\] \\( u=9 t-8 \\)" }, { "from": "gpt", "value": "Misunderstands the process of making a variable the subject of an equation" } ]

[ { "from": "human", "value": "Change decimals of hours into minutes \\( 1.5 \\) hours \\( = _______\\) minutes \\( 150 \\)" }, { "from": "gpt", "value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes" } ]