bwowe/mis_conv · Datasets at Hugging Face

conversations listlengths 2 2
[ { "from": "human", "value": "Identify the total number of combinations in a given scenario by using the product rule for counting where duplicates are considered different Jumbo Restaurant has \\( 34 \\) choices of starters, \\( 92 \\) choices of main course, and \\( 27 \\) choices of dessert.\nSally wants a starter, main course and dessert.\n\nWhich of the following calculations would correctly work out the total possible combinations of available to Sally? \\( 34+92+27 \\)" }, { "from": "gpt", "value": "Adds rather than multiplies when using the product rule for counting" } ]
[ { "from": "human", "value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3,0). The blue line goes through the points (0,3) and (6,0)and the two lines cross at (2,2).]() \\( x=3, \\quad y=6 \\)" }, { "from": "gpt", "value": "When solving simultaneous equations graphically, they think the solutions are the y-intercepts" } ]
[ { "from": "human", "value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3,0). The blue line goes through the points (0,3) and (6,0)and the two lines cross at (2,2).]() \\( x=6, \\quad y=3 \\)" }, { "from": "gpt", "value": "When solving simultaneous equations graphically, they think the solutions are the x-intercepts" } ]
[ { "from": "human", "value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is correct? ![A diagram showing 3 rows of boxes. the bottom row has 3 boxes, containing a star, and empty box and 2g from left to right. The next row up contains two boxes, overlapping the joins of the boxes below. The left one contains 4f+6g, the right one is empty. The top row is one box, centered over the join of the two below, it is empty.]() Only\nJo" }, { "from": "gpt", "value": "Assumes an addition pyramid works in a different way to how it actually does" } ]
[ { "from": "human", "value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is correct? ![A diagram showing 3 rows of boxes. the bottom row has 3 boxes, containing a star, and empty box and 2g from left to right. The next row up contains two boxes, overlapping the joins of the boxes below. The left one contains 4f+6g, the right one is empty. The top row is one box, centered over the join of the two below, it is empty.]() Only\nPaul" }, { "from": "gpt", "value": "Assumes an addition pyramid works in a different way to how it actually does" } ]
[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 4 \\)" }, { "from": "gpt", "value": "Does not know the definition of term or term-to-term rule" } ]
[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 11 \\)" }, { "from": "gpt", "value": "When asked for a specific term in a sequence gives the term after" } ]
[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 8 \\)" }, { "from": "gpt", "value": "Does not know the definition of term or term-to-term rule" } ]
[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 5 \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]
[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 6 \\)" }, { "from": "gpt", "value": "Mixes up width and height of a rectangle" } ]
[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 2 \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]
[ { "from": "human", "value": "Generate a descending integer linear sequence from the nth term rule How many terms are greater than zero in this sequence:\n\\[\n22-5 n\n\\] \\( 5 \\)" }, { "from": "gpt", "value": "Thinks the first term in a sequence is the term before the sequence begins (0th term)" } ]
[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Only Tom" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using only the numerator after the decimal point" } ]
[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using only the numerator after the decimal point" } ]
[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand equivalent fractions" } ]
[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]
[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 2 \\)" }, { "from": "gpt", "value": "Subtracts instead of divides" } ]
[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 1 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]
[ { "from": "human", "value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 27 \\)" }, { "from": "gpt", "value": "Carries out operations from left to right regardless of priority order" } ]
[ { "from": "human", "value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 60 \\)" }, { "from": "gpt", "value": "Multiplies rather than adds " } ]
[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? \\( 90 p \\)" }, { "from": "gpt", "value": "When solving simultaneous equations, thinks they can ignore one of the variables" } ]
[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? E1" }, { "from": "gpt", "value": "When asked to solve simultaneous equations, believes they can just find values that work in one equation" } ]
[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? \\( £ 1.40 \\)" }, { "from": "gpt", "value": "When solving an equation forgets to eliminate the coefficient in front of the variable in the last step" } ]
[ { "from": "human", "value": "Place or identify the location of an integer between 100 and 1000 on a number line Which number line shows a good estimate for the position of the number shown? ![A number line from 0 to 10000 with the value 857 incorrectly labelled, with an arrow, between the midpoint and 10000]()" }, { "from": "gpt", "value": "Reads 10,000 as 1000" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2-3 p \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( -2-3 p \\)" }, { "from": "gpt", "value": "Believes multiplying two negatives gives a negative answer" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2+3 p \\)" }, { "from": "gpt", "value": "Only multiplies second term in the expansion of a bracket" } ]
[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 3 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Has used slant height and base to find area of a triangle rather than perpendicular height and base" } ]
[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 4 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Has used slant height and base to find area of a triangle rather than perpendicular height and base" } ]
[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 6 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Finds area of one face when asked for volume" } ]
[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 4 \\)" }, { "from": "gpt", "value": "Does not understand a percentage can be applied to something not out of 100" } ]
[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 204 \\)" }, { "from": "gpt", "value": "Added the values together instead of finding the percentage" } ]
[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 80 \\)" }, { "from": "gpt", "value": "Believes that dividing by 10 gives 1%" } ]
[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 5 \\times 24 \\)" }, { "from": "gpt", "value": "Thinks there are 5 days in a week" } ]
[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 24 \\)" }, { "from": "gpt", "value": "Forgets to multiply up for the correct time frame in a worded question" } ]
[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 7 \\times 12 \\)" }, { "from": "gpt", "value": "Thinks there are 12 hours in 1 day" } ]
[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-6,-4) \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]
[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-3,-2) \\)" }, { "from": "gpt", "value": "Believes the sides of a rectangle must be horizontal and vertical, not diagonal" } ]
[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-2,-3) \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]
[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 6+3 m \\)" }, { "from": "gpt", "value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fraction" } ]
[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 2+9 m \\)" }, { "from": "gpt", "value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fraction" } ]
[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) None of the options" }, { "from": "gpt", "value": "Does not know how to simplify algebraic fractions" } ]
[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 60 \\)" }, { "from": "gpt", "value": "Converted seconds to minutes instead of seconds to hours" } ]
[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 36 \\)" }, { "from": "gpt", "value": "Thinks there are 100 seconds in an hour" } ]
[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 3.6 \\)" }, { "from": "gpt", "value": "Thinks there are 1000 seconds in an hour" } ]
[ { "from": "human", "value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n\nWho is correct? Only\nTom" }, { "from": "gpt", "value": "Thinks the sign of solutions in a quadratic equation is always the same as the constant term" } ]
[ { "from": "human", "value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Believes that the solution to ax + b = 0 is x = -a/b" } ]
[ { "from": "human", "value": "Use inequality notation to order fractions with the same numerators Which signs belong in the boxes to make the statement correct?\n\\(\n\\frac{1}{5} \\;\\square\\; \\frac{1}{6}\\; \\square \\;\\frac{1}{3}\n\\) \\( <> \\)" }, { "from": "gpt", "value": "Believes that fractions with larger denominators are greater in size" } ]
[ { "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? ![Irregular hexagon]() \\( 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? ![Irregular hexagon]() \\( 540^{\\degree} \\)" }, { "from": "gpt", "value": "Does not know how to calculate 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? ![Irregular hexagon]() Not enough information to work it out" }, { "from": "gpt", "value": "Believes that you are unable to calculate the sum of the interior angles of an irregular polygon given the number of sides" } ]
[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() Sin" }, { "from": "gpt", "value": "Uses sin when cos is required" } ]
[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() Tan" }, { "from": "gpt", "value": "Uses tan when cos is required" } ]
[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() None of these" }, { "from": "gpt", "value": "Does not understand how to apply sohcahtoa" } ]
[ { "from": "human", "value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 2 \\)" }, { "from": "gpt", "value": "Identifies the first term rather than the next term in a sequence" } ]
[ { "from": "human", "value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 4.7777 \\ldots \\)" }, { "from": "gpt", "value": "When asked for a specific term in a sequence gives the term after" } ]
[ { "from": "human", "value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 0 \\)" }, { "from": "gpt", "value": "Believes the gradient of a line is given by an intercept" } ]
[ { "from": "human", "value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 2 x \\)" }, { "from": "gpt", "value": "Thinks the gradient of a line includes the variable x" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( -1-2 p \\)" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1+2 p \\)" }, { "from": "gpt", "value": "Only multiplies second term in the expansion of a bracket" } ]
[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1-2 p \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]
[ { "from": "human", "value": "Expand products of three binomials in the form (x + a)(x + b)(x + c) When Aneesa expands these brackets, how many terms should she get after she simplifies? \\( (p+3)(p+4)(p+5) \\) \\( 3 \\)" }, { "from": "gpt", "value": "Believes a cubic expression should have three terms" } ]
[ { "from": "human", "value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 2(9 a-6) \\)" }, { "from": "gpt", "value": "Believes that they can fully factorise an expression by taking out any common factor, not just the HCF" } ]
[ { "from": "human", "value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 18(a-6) \\)" }, { "from": "gpt", "value": "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" } ]
[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0 \\)" }, { "from": "gpt", "value": "Counts leading zero as a significant figure" } ]
[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.05 \\)" }, { "from": "gpt", "value": "Rounds down instead of up" } ]
[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.058 \\)" }, { "from": "gpt", "value": "Rounds too little when estimating" } ]
[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 256 \\)" }, { "from": "gpt", "value": "Believes to find the next traingle number you add the previous two numbers together i.e. Fibonacci" } ]
[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 151 \\)" }, { "from": "gpt", "value": "Believes the difference between triangle numbers decreases by 1 each time" } ]
[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 152 \\)" }, { "from": "gpt", "value": "Believes the difference between triangle numbers remains the same" } ]
[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x-3)(x-2) \\)" }, { "from": "gpt", "value": "Believes multiplying two negatives gives a negative answer" } ]
[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x+3)(x-2) \\)" }, { "from": "gpt", "value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to give the constant" } ]
[ { "from": "human", "value": "Assign probabilities to single events using percentages This four-sided spinner is fair.\nWhat is the probability of spinning a \\( 2 \\) ?\nGive your answer as a percentage ![A four sided spinner labelled with 1, 2, 3 and 4]() \\( 40 \\% \\)" }, { "from": "gpt", "value": "Converts fraction to percentage by multiplying the denominator by 10" } ]
[ { "from": "human", "value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a third circle above.]() \\( \\frac{4}{9} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]
[ { "from": "human", "value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a third circle above.]() \\( \\frac{4}{20} \\)" }, { "from": "gpt", "value": "When adding fractions, changes to common denominator but leaves numerators the same" } ]
[ { "from": "human", "value": "Given a term in an ascending integer linear sequence, use the nth term rule to find its position in that sequence Here are the first \\( 4 \\) terms of a sequence \\( \\begin{array}{lllll}11 & 15 & 19 & 23 & \\ldots\\end{array} \\) What position in the sequence is the number \\( 67 \\) ? \\( 16.75 \\)" }, { "from": "gpt", "value": "Believes you multiply the constant difference by the term number to get the term value" } ]
[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p-10)(p+10) \\)" }, { "from": "gpt", "value": "When factorising a quadratic without a non variable term, tries to double bracket factorise" } ]
[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p+10)(p+10) \\)" }, { "from": "gpt", "value": "When factorising a quadratic without a non variable term, tries to double bracket factorise" } ]
[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) Does not factorise" }, { "from": "gpt", "value": "Thinks a quadratic without a non variable term, can not be factorised" } ]
[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (3,3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x changes sign of x coordinate only" } ]
[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (-3,-3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x changes sign of y coordinate only" } ]
[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (3,-3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x switches x and y coordinates" } ]
[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 0 \\)" }, { "from": "gpt", "value": "Does not understand the first significant value is the first non-zero digit number" } ]
[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 4 \\)" }, { "from": "gpt", "value": "Identifies first decimal place value when asked for first significant figure" } ]
[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 5 \\)" }, { "from": "gpt", "value": "Does not understand the first significant value is the first non-zero digit number" } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Parallel" }, { "from": "gpt", "value": "Does not know the meaning of the word parallel" } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Pentagon" }, { "from": "gpt", "value": "Does not know what dashes on the sides of shapes mean" } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Irregular" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]
[ { "from": "human", "value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \\color{purple}\\square \\) \\( -8 \\)" }, { "from": "gpt", "value": "When finding the differences between terms in a sequence, believes they can do so from right to left " } ]
[ { "from": "human", "value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \\color{purple}\\square \\) \\[\n+1\n\\]\n(or just a + sign)" }, { "from": "gpt", "value": "When finding the nth term rule for a quadratic sequence, believes that the coefficient of n is half the second difference" } ]
[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 200 \\)" }, { "from": "gpt", "value": "Estimated when not appropriate" } ]
[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 123 \\)" }, { "from": "gpt", "value": "Believes the amount given is for the whole rather than a part" } ]
[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 1845 \\)" }, { "from": "gpt", "value": "Multiplies instead of divides to find one part given the total" } ]
[ { "from": "human", "value": "Given an x value, find the corresponding y value from a non-linear graph Here is the graph of\n\\(\ny=\\frac{4}{x}\n\\)\n\nWhat is the value of \\( y \\) when \\( x=-1 \\) ? ![A graph with two curves. Y axis from -5 to 5 and x axis from -5 to 5 marked in increments of 1. One curve is in the positive x, positive y quadrant. It starts at the top close to the line x = 1, as we move right it drops very quickly towards the x axis then levels off to travel almost parallel to the line y =1. It goes through (1, 4) (2,2) and (4,1). One curve is in the negative x negative y quadrant. It starts at the top left of the quadrant almost parallel to y = -1, then we move right and it curves downwards towards the y axis then levels off to travel almost parallel to the x = -1 line. It goes through (-4, -1) (-2, -2) and (-1,-4)]() \\( 4 \\)" }, { "from": "gpt", "value": "Believes dividing a positive by a negative gives a positive answer" } ]
[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 1013 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]
[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 4172 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]
[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 197177 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]
[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x=-2 \\)" }, { "from": "gpt", "value": "Confuses the equations of vertical and horizontal lines" } ]
[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( y=-2 x \\)" }, { "from": "gpt", "value": "Includes the x variable when giving the equation of a horizontal line" } ]
[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x y=-2 \\)" }, { "from": "gpt", "value": "Believes the equation for a horizontal line is in the form xy = a, where a is the y intercept" } ]

[ { "from": "human", "value": "Identify the total number of combinations in a given scenario by using the product rule for counting where duplicates are considered different Jumbo Restaurant has \\( 34 \\) choices of starters, \\( 92 \\) choices of main course, and \\( 27 \\) choices of dessert.\nSally wants a starter, main course and dessert.\n\nWhich of the following calculations would correctly work out the total possible combinations of available to Sally? \\( 34+92+27 \\)" }, { "from": "gpt", "value": "Adds rather than multiplies when using the product rule for counting" } ]

[ { "from": "human", "value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3,0). The blue line goes through the points (0,3) and (6,0)and the two lines cross at (2,2).]() \\( x=3, \\quad y=6 \\)" }, { "from": "gpt", "value": "When solving simultaneous equations graphically, they think the solutions are the y-intercepts" } ]

[ { "from": "human", "value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3,0). The blue line goes through the points (0,3) and (6,0)and the two lines cross at (2,2).]() \\( x=6, \\quad y=3 \\)" }, { "from": "gpt", "value": "When solving simultaneous equations graphically, they think the solutions are the x-intercepts" } ]

[ { "from": "human", "value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is correct? ![A diagram showing 3 rows of boxes. the bottom row has 3 boxes, containing a star, and empty box and 2g from left to right. The next row up contains two boxes, overlapping the joins of the boxes below. The left one contains 4f+6g, the right one is empty. The top row is one box, centered over the join of the two below, it is empty.]() Only\nJo" }, { "from": "gpt", "value": "Assumes an addition pyramid works in a different way to how it actually does" } ]

[ { "from": "human", "value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is correct? ![A diagram showing 3 rows of boxes. the bottom row has 3 boxes, containing a star, and empty box and 2g from left to right. The next row up contains two boxes, overlapping the joins of the boxes below. The left one contains 4f+6g, the right one is empty. The top row is one box, centered over the join of the two below, it is empty.]() Only\nPaul" }, { "from": "gpt", "value": "Assumes an addition pyramid works in a different way to how it actually does" } ]

[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 4 \\)" }, { "from": "gpt", "value": "Does not know the definition of term or term-to-term rule" } ]

[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 11 \\)" }, { "from": "gpt", "value": "When asked for a specific term in a sequence gives the term after" } ]

[ { "from": "human", "value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 8 \\)" }, { "from": "gpt", "value": "Does not know the definition of term or term-to-term rule" } ]

[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 5 \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]

[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 6 \\)" }, { "from": "gpt", "value": "Mixes up width and height of a rectangle" } ]

[ { "from": "human", "value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled with co-ordinate (-4,7). The bottom right corner of the rectangle is labelled with co-ordinate (2,-12). A double-ended vertical arrow spans the height of the rectangle, starting level with (2,-12) and ending level with the corner of the rectangle directly above (2,-12).]() \\( 2 \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]

[ { "from": "human", "value": "Generate a descending integer linear sequence from the nth term rule How many terms are greater than zero in this sequence:\n\\[\n22-5 n\n\\] \\( 5 \\)" }, { "from": "gpt", "value": "Thinks the first term in a sequence is the term before the sequence begins (0th term)" } ]

[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Only Tom" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using only the numerator after the decimal point" } ]

[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using only the numerator after the decimal point" } ]

[ { "from": "human", "value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand equivalent fractions" } ]

[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 0 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]

[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 2 \\)" }, { "from": "gpt", "value": "Subtracts instead of divides" } ]

[ { "from": "human", "value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of the quotient are represented by a yellow star, a purple triangle and a blue rectangle.]() \\( 1 \\)" }, { "from": "gpt", "value": "Starts at the wrong end of the dividend when dividing" } ]

[ { "from": "human", "value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 27 \\)" }, { "from": "gpt", "value": "Carries out operations from left to right regardless of priority order" } ]

[ { "from": "human", "value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 60 \\)" }, { "from": "gpt", "value": "Multiplies rather than adds " } ]

[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? \\( 90 p \\)" }, { "from": "gpt", "value": "When solving simultaneous equations, thinks they can ignore one of the variables" } ]

[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? E1" }, { "from": "gpt", "value": "When asked to solve simultaneous equations, believes they can just find values that work in one equation" } ]

[ { "from": "human", "value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of tea cost? \\( £ 1.40 \\)" }, { "from": "gpt", "value": "When solving an equation forgets to eliminate the coefficient in front of the variable in the last step" } ]

[ { "from": "human", "value": "Place or identify the location of an integer between 100 and 1000 on a number line Which number line shows a good estimate for the position of the number shown? ![A number line from 0 to 10000 with the value 857 incorrectly labelled, with an arrow, between the midpoint and 10000]()" }, { "from": "gpt", "value": "Reads 10,000 as 1000" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2-3 p \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( -2-3 p \\)" }, { "from": "gpt", "value": "Believes multiplying two negatives gives a negative answer" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2+3 p \\)" }, { "from": "gpt", "value": "Only multiplies second term in the expansion of a bracket" } ]

[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 3 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Has used slant height and base to find area of a triangle rather than perpendicular height and base" } ]

[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 4 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Has used slant height and base to find area of a triangle rather than perpendicular height and base" } ]

[ { "from": "human", "value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with base 4cm, height 3cm and longest edge 5cm. ]() \\( 6 \\mathrm{~cm} \\)" }, { "from": "gpt", "value": "Finds area of one face when asked for volume" } ]

[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 4 \\)" }, { "from": "gpt", "value": "Does not understand a percentage can be applied to something not out of 100" } ]

[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 204 \\)" }, { "from": "gpt", "value": "Added the values together instead of finding the percentage" } ]

[ { "from": "human", "value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 80 \\)" }, { "from": "gpt", "value": "Believes that dividing by 10 gives 1%" } ]

[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 5 \\times 24 \\)" }, { "from": "gpt", "value": "Thinks there are 5 days in a week" } ]

[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 24 \\)" }, { "from": "gpt", "value": "Forgets to multiply up for the correct time frame in a worded question" } ]

[ { "from": "human", "value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 7 \\times 12 \\)" }, { "from": "gpt", "value": "Thinks there are 12 hours in 1 day" } ]

[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-6,-4) \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]

[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-3,-2) \\)" }, { "from": "gpt", "value": "Believes the sides of a rectangle must be horizontal and vertical, not diagonal" } ]

[ { "from": "human", "value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-2,-3) \\)" }, { "from": "gpt", "value": "Does not know how to find the length of a line segment from coordinates" } ]

[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 6+3 m \\)" }, { "from": "gpt", "value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fraction" } ]

[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 2+9 m \\)" }, { "from": "gpt", "value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fraction" } ]

[ { "from": "human", "value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) None of the options" }, { "from": "gpt", "value": "Does not know how to simplify algebraic fractions" } ]

[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 60 \\)" }, { "from": "gpt", "value": "Converted seconds to minutes instead of seconds to hours" } ]

[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 36 \\)" }, { "from": "gpt", "value": "Thinks there are 100 seconds in an hour" } ]

[ { "from": "human", "value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 3.6 \\)" }, { "from": "gpt", "value": "Thinks there are 1000 seconds in an hour" } ]

[ { "from": "human", "value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n\nWho is correct? Only\nTom" }, { "from": "gpt", "value": "Thinks the sign of solutions in a quadratic equation is always the same as the constant term" } ]

[ { "from": "human", "value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Believes that the solution to ax + b = 0 is x = -a/b" } ]

[ { "from": "human", "value": "Use inequality notation to order fractions with the same numerators Which signs belong in the boxes to make the statement correct?\n\\(\n\\frac{1}{5} \\;\\square\\; \\frac{1}{6}\\; \\square \\;\\frac{1}{3}\n\\) \\( <> \\)" }, { "from": "gpt", "value": "Believes that fractions with larger denominators are greater in size" } ]

[ { "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? ![Irregular hexagon]() \\( 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? ![Irregular hexagon]() \\( 540^{\\degree} \\)" }, { "from": "gpt", "value": "Does not know how to calculate 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? ![Irregular hexagon]() Not enough information to work it out" }, { "from": "gpt", "value": "Believes that you are unable to calculate the sum of the interior angles of an irregular polygon given the number of sides" } ]

[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() Sin" }, { "from": "gpt", "value": "Uses sin when cos is required" } ]

[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() Tan" }, { "from": "gpt", "value": "Uses tan when cos is required" } ]

[ { "from": "human", "value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made between the 6cm and 10cm sides is labelled as θ.]() None of these" }, { "from": "gpt", "value": "Does not understand how to apply sohcahtoa" } ]

[ { "from": "human", "value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 2 \\)" }, { "from": "gpt", "value": "Identifies the first term rather than the next term in a sequence" } ]

[ { "from": "human", "value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 4.7777 \\ldots \\)" }, { "from": "gpt", "value": "When asked for a specific term in a sequence gives the term after" } ]

[ { "from": "human", "value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 0 \\)" }, { "from": "gpt", "value": "Believes the gradient of a line is given by an intercept" } ]

[ { "from": "human", "value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 2 x \\)" }, { "from": "gpt", "value": "Thinks the gradient of a line includes the variable x" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( -1-2 p \\)" }, { "from": "gpt", "value": "Only multiplies the first term in the expansion of a bracket" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1+2 p \\)" }, { "from": "gpt", "value": "Only multiplies second term in the expansion of a bracket" } ]

[ { "from": "human", "value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1-2 p \\)" }, { "from": "gpt", "value": "Ignores negative sign when expanding bracket" } ]

[ { "from": "human", "value": "Expand products of three binomials in the form (x + a)(x + b)(x + c) When Aneesa expands these brackets, how many terms should she get after she simplifies? \\( (p+3)(p+4)(p+5) \\) \\( 3 \\)" }, { "from": "gpt", "value": "Believes a cubic expression should have three terms" } ]

[ { "from": "human", "value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 2(9 a-6) \\)" }, { "from": "gpt", "value": "Believes that they can fully factorise an expression by taking out any common factor, not just the HCF" } ]

[ { "from": "human", "value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 18(a-6) \\)" }, { "from": "gpt", "value": "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" } ]

[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0 \\)" }, { "from": "gpt", "value": "Counts leading zero as a significant figure" } ]

[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.05 \\)" }, { "from": "gpt", "value": "Rounds down instead of up" } ]

[ { "from": "human", "value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.058 \\)" }, { "from": "gpt", "value": "Rounds too little when estimating" } ]

[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 256 \\)" }, { "from": "gpt", "value": "Believes to find the next traingle number you add the previous two numbers together i.e. Fibonacci" } ]

[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 151 \\)" }, { "from": "gpt", "value": "Believes the difference between triangle numbers decreases by 1 each time" } ]

[ { "from": "human", "value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 152 \\)" }, { "from": "gpt", "value": "Believes the difference between triangle numbers remains the same" } ]

[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x-3)(x-2) \\)" }, { "from": "gpt", "value": "Believes multiplying two negatives gives a negative answer" } ]

[ { "from": "human", "value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x+3)(x-2) \\)" }, { "from": "gpt", "value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to give the constant" } ]

[ { "from": "human", "value": "Assign probabilities to single events using percentages This four-sided spinner is fair.\nWhat is the probability of spinning a \\( 2 \\) ?\nGive your answer as a percentage ![A four sided spinner labelled with 1, 2, 3 and 4]() \\( 40 \\% \\)" }, { "from": "gpt", "value": "Converts fraction to percentage by multiplying the denominator by 10" } ]

[ { "from": "human", "value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a third circle above.]() \\( \\frac{4}{9} \\)" }, { "from": "gpt", "value": "When adding fractions, adds the numerators and denominators" } ]

[ { "from": "human", "value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a third circle above.]() \\( \\frac{4}{20} \\)" }, { "from": "gpt", "value": "When adding fractions, changes to common denominator but leaves numerators the same" } ]

[ { "from": "human", "value": "Given a term in an ascending integer linear sequence, use the nth term rule to find its position in that sequence Here are the first \\( 4 \\) terms of a sequence \\( \\begin{array}{lllll}11 & 15 & 19 & 23 & \\ldots\\end{array} \\) What position in the sequence is the number \\( 67 \\) ? \\( 16.75 \\)" }, { "from": "gpt", "value": "Believes you multiply the constant difference by the term number to get the term value" } ]

[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p-10)(p+10) \\)" }, { "from": "gpt", "value": "When factorising a quadratic without a non variable term, tries to double bracket factorise" } ]

[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p+10)(p+10) \\)" }, { "from": "gpt", "value": "When factorising a quadratic without a non variable term, tries to double bracket factorise" } ]

[ { "from": "human", "value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) Does not factorise" }, { "from": "gpt", "value": "Thinks a quadratic without a non variable term, can not be factorised" } ]

[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (3,3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x changes sign of x coordinate only" } ]

[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (-3,-3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x changes sign of y coordinate only" } ]

[ { "from": "human", "value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the new coordinates of point \\( Q \\) ? \\( (3,-3) \\)" }, { "from": "gpt", "value": "Believes reflection in y = -x switches x and y coordinates" } ]

[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 0 \\)" }, { "from": "gpt", "value": "Does not understand the first significant value is the first non-zero digit number" } ]

[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 4 \\)" }, { "from": "gpt", "value": "Identifies first decimal place value when asked for first significant figure" } ]

[ { "from": "human", "value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 5 \\)" }, { "from": "gpt", "value": "Does not understand the first significant value is the first non-zero digit number" } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Parallel" }, { "from": "gpt", "value": "Does not know the meaning of the word parallel" } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Pentagon" }, { "from": "gpt", "value": "Does not know what dashes on the sides of shapes mean" } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the middle.]() Irregular" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]

[ { "from": "human", "value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \\color{purple}\\square \\) \\( -8 \\)" }, { "from": "gpt", "value": "When finding the differences between terms in a sequence, believes they can do so from right to left " } ]

[ { "from": "human", "value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \\color{purple}\\square \\) \\[\n+1\n\\]\n(or just a + sign)" }, { "from": "gpt", "value": "When finding the nth term rule for a quadratic sequence, believes that the coefficient of n is half the second difference" } ]

[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 200 \\)" }, { "from": "gpt", "value": "Estimated when not appropriate" } ]

[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 123 \\)" }, { "from": "gpt", "value": "Believes the amount given is for the whole rather than a part" } ]

[ { "from": "human", "value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 1845 \\)" }, { "from": "gpt", "value": "Multiplies instead of divides to find one part given the total" } ]

[ { "from": "human", "value": "Given an x value, find the corresponding y value from a non-linear graph Here is the graph of\n\\(\ny=\\frac{4}{x}\n\\)\n\nWhat is the value of \\( y \\) when \\( x=-1 \\) ? ![A graph with two curves. Y axis from -5 to 5 and x axis from -5 to 5 marked in increments of 1. One curve is in the positive x, positive y quadrant. It starts at the top close to the line x = 1, as we move right it drops very quickly towards the x axis then levels off to travel almost parallel to the line y =1. It goes through (1, 4) (2,2) and (4,1). One curve is in the negative x negative y quadrant. It starts at the top left of the quadrant almost parallel to y = -1, then we move right and it curves downwards towards the y axis then levels off to travel almost parallel to the x = -1 line. It goes through (-4, -1) (-2, -2) and (-1,-4)]() \\( 4 \\)" }, { "from": "gpt", "value": "Believes dividing a positive by a negative gives a positive answer" } ]

[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 1013 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]

[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 4172 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]

[ { "from": "human", "value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^3 and 197,177 cm^3.]() Which measurement most likely matches the egg cup? \\( 197177 \\mathrm{~cm}^{3} \\)" }, { "from": "gpt", "value": "Cannot estimate the relative volume order, for different objects" } ]

[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x=-2 \\)" }, { "from": "gpt", "value": "Confuses the equations of vertical and horizontal lines" } ]

[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( y=-2 x \\)" }, { "from": "gpt", "value": "Includes the x variable when giving the equation of a horizontal line" } ]

[ { "from": "human", "value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x y=-2 \\)" }, { "from": "gpt", "value": "Believes the equation for a horizontal line is in the form xy = a, where a is the y intercept" } ]