bwowe/mis_conv · Datasets at Hugging Face

conversations listlengths 2 2
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Only Katie" }, { "from": "gpt", "value": "Does not understand that when multiplying both sides of an equation by an amount every term must be multiplied by the same amount" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Does not understand that when multiplying both sides of an equation by an amount every term must be multiplied by the same amount" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]
[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.34 \\)" }, { "from": "gpt", "value": "Believes subtraction is commutative " } ]
[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( -0.44 \\)" }, { "from": "gpt", "value": "Believes you subtract the smaller digit from the larger digit in column subtraction, regardless of position" } ]
[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.2 \\)" }, { "from": "gpt", "value": "When subtracting decimals with a different number of decimal places, lines up the digits incorrectly" } ]
[ { "from": "human", "value": "Represent positive unit fractions on a number line The probability of picking a green ball is \\( \\frac{1}{5} \\) Where is this value on the probability scale? ![B\nc\nD]() C" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using the denominator after the decimal point" } ]
[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]
[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Only\nPaul" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]
[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]
[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 24 \\)" }, { "from": "gpt", "value": "Counts partial symbols as if they were whole on pictograms" } ]
[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 16 \\)" }, { "from": "gpt", "value": "Ignores partial symbols on pictograms" } ]
[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 2.75 \\)" }, { "from": "gpt", "value": "When interpreting a pictogram, thinks each symbol stands for 1" } ]
[ { "from": "human", "value": "Solve problems involving converting between fractions, decimals and percentages Jo and Paul are arguing about percentages.\nJo says \\( 52 \\%=0.052 \\)\nPaul says \\( 52 \\%<\\frac{20}{41} \\)\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "Divides by 1000 instead of 100 when converting a percentage to a decimal" } ]
[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{2}{12} \\)" }, { "from": "gpt", "value": "Can identify the multiplier used to form an equivalent fraction but does not apply to the numerator" } ]
[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{4}{12} \\)" }, { "from": "gpt", "value": "Does not understand equivalent fractions" } ]
[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{10}{12} \\)" }, { "from": "gpt", "value": "Believes equivalent fractions are formed with addition not multiplication" } ]
[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Variable" }, { "from": "gpt", "value": "Confuses a term with a variable" } ]
[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Expression" }, { "from": "gpt", "value": "Confuses an expression with a term" } ]
[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Equation" }, { "from": "gpt", "value": "Confuses a term with an equation" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (3, -1). Point (3, -1) is labelled with the letter \"P\". ]() \\( (0,-1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (3, -1). Point (3, -1) is labelled with the letter \"P\". ]() \\( (-2,-1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (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 vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The top right corner of the rectangle is marked with the letter P, which is 5 squares up from the bottom of the grid on the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]
[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 85^{\\circ} \\)" }, { "from": "gpt", "value": "Does not understand that an obtuse angle is between 90 and 180 degrees" } ]
[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 270^{\\circ} \\)" }, { "from": "gpt", "value": "Does not understand that an obtuse angle is between 90 and 180 degrees" } ]
[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 180^{\\circ} \\)" }, { "from": "gpt", "value": "Believes 180 degrees is an obtuse angle" } ]
[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rhombus" }, { "from": "gpt", "value": "Does not remember that a rhombus has equal sides" } ]
[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Kite" }, { "from": "gpt", "value": "Does not recognise the properties of a kite" } ]
[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rectangle" }, { "from": "gpt", "value": "Does not know the properties of a rectangle" } ]
[ { "from": "human", "value": "Convert between m³ and cm³ \\(\n0.7 m^3 =\\bigstar \\,cm^3\n\\)\n\nWhat should replace the star? \\( 70 \\)" }, { "from": "gpt", "value": "Does not cube the conversion factor when converting cubed units" } ]
[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 100 \\)" }, { "from": "gpt", "value": "Rounds to the wrong degree of accuracy (rounds too little)" } ]
[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 120 \\)" }, { "from": "gpt", "value": "Rounds down instead of up" } ]
[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 126 \\)" }, { "from": "gpt", "value": "Rounds to the wrong degree of accuracy (rounds too much)" } ]
[ { "from": "human", "value": "Convert ratios to fractions Kate and Isaac share some yoghurt in the ratio \\( 2: 5 \\).\nKate has \\(_____\\) of the total yoghurt\nWhat fraction completes the sentence? \\( \\frac{2}{5} \\)" }, { "from": "gpt", "value": "When converting ratio to fractions, puts the other side of the ratio as the denominator rather than the total" } ]
[ { "from": "human", "value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\( 5.2 \\) seconds. \\( s=\\frac{1}{2}(u+v) t \\) \\( \\begin{array}{c}s=\\frac{1}{2}(2.9+3.5)+5.2 \\\\ s=8.4\\end{array} \\)" }, { "from": "gpt", "value": "Thinks two variables next to each other represent addition" } ]
[ { "from": "human", "value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\( 5.2 \\) seconds. \\( s=\\frac{1}{2}(u+v) t \\) \\( \\begin{array}{c}s=\\frac{1}{2}(2.9+3.5+5.2) \\\\ s=5.8\\end{array} \\)" }, { "from": "gpt", "value": "Thinks two variables next to each other represent addition" } ]
[ { "from": "human", "value": "Convert from years to days How many days in a non-leap year? \\( 350 \\)" }, { "from": "gpt", "value": "Thinks there are 50 weeks in a year" } ]
[ { "from": "human", "value": "Convert from years to days How many days in a non-leap year? \\( 100 \\)" }, { "from": "gpt", "value": "Does not know how many days are in a leap year" } ]
[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( (-7) \\times 2=-14 \\)" }, { "from": "gpt", "value": "Believes multiplying a positive by a negative gives a positive answer" } ]
[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times 2=14 \\)" }, { "from": "gpt", "value": "Believes multiplying two positives gives a negative answer" } ]
[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times(-2)=-14 \\)" }, { "from": "gpt", "value": "Believes multiplying a positive by a negative gives a positive answer" } ]
[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( \\frac{2}{7} \\)" }, { "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 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( 5 \\)" }, { "from": "gpt", "value": "Gives probability as an integer instead of a fraction" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 8 \\)" }, { "from": "gpt", "value": "Mixes up squaring with dividing by 2" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 32 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]
[ { "from": "human", "value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(y=x^{2}+4\\) \\begin{tabular}{\|l\|l\|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( 4 \\)" }, { "from": "gpt", "value": "Believes addition comes before indices, in orders of operation" } ]
[ { "from": "human", "value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(y=x^{2}+4\\) \\begin{tabular}{\|l\|l\|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( -32 \\)" }, { "from": "gpt", "value": "Believes the square of a negative will also be negative" } ]
[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 8 \\)" }, { "from": "gpt", "value": "Counts half-squares as full squares when calculating area on a square grid" } ]
[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 4 \\)" }, { "from": "gpt", "value": "Underestimates the area of shapes when counting squares when some squares are neither wholes nor halves" } ]
[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 7 \\)" }, { "from": "gpt", "value": "Counts half-squares as full squares when calculating area on a square grid" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( -32 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]
[ { "from": "human", "value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( 256 \\)" }, { "from": "gpt", "value": "Does not understand that the negative outside the bracket means answer will be negative" } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? ![Trapezium]()" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? ![Irregular quadrilateral]()" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]
[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? They each have the same order of rotational symmetry" }, { "from": "gpt", "value": "Believes the number of sides gives the order of rotational symmetry" } ]
[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 154 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 2" } ]
[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 170 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 10" } ]
[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 152 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 1" } ]
[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m(n+5) \\)" }, { "from": "gpt", "value": "Does not account for grammar when writing algebra e.g. ,then making a group" } ]
[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m \\times n+5 \\)" }, { "from": "gpt", "value": "Does not realize we can omit the multiplication symbol in algebraic expressions" } ]
[ { "from": "human", "value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Perpendicular" }, { "from": "gpt", "value": "Believes any lines that cross are perpendicular" } ]
[ { "from": "human", "value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Skew" }, { "from": "gpt", "value": "Does not know the term transversal" } ]
[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( m \\times m \\times m \\)" }, { "from": "gpt", "value": "Does not realize we can omit the multiplication symbol in algebraic expressions" } ]
[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( 3 m \\)" }, { "from": "gpt", "value": "Multiplies by the index" } ]
[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( \\mathrm{mmm} \\)" }, { "from": "gpt", "value": "Writes repeated letters instead of using index form of a variable" } ]
[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 7 \\)" }, { "from": "gpt", "value": "Believes you don't need to numerically order the data before calculating the median" } ]
[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 4 \\)" }, { "from": "gpt", "value": "When finding the median from a even dataset does not understand we must find the midpoint of the two values in the middle" } ]
[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 5.5 \\)" }, { "from": "gpt", "value": "Believes you don't need to numerically order the data before calculating the median" } ]
[ { "from": "human", "value": "Solve problems that combine addition and subtraction ![Think of a number, then subtract \\( 5 \\), next divide by \\( 8 \\), next add 4, and finally multiply by \\( 7 \\).]() Jo says you can write this as:\n\\[\n7\\left(\\frac{(n-5)}{8}+4\\right)\n\\]\nPaul says you can write this as:\n\\[\n7((n-5) \\div 8)+4\n\\]\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Carries out operations from left to right regardless of priority order" } ]
[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( -4 \\)" }, { "from": "gpt", "value": "When solving an equation forgets to eliminate the coefficient in front of the variable in the last step" } ]
[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( 4 \\)" }, { "from": "gpt", "value": "Believes that for a line written in the form ax + by = c, a is the gradient" } ]
[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( \\frac{4}{3} \\)" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]
[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{\|c\|c\|}\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]
[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{\|l\|l\|l\|l\|}\n\\hline \\( \\mathrm{n} \\) & \\( 3 \\) & \\( \\mathrm{n} \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]
[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{\|l\|l\|l\|l\|}\n\\hline \\( \\mathrm{n} \\) & \\( \\mathrm{n} \\) & \\( 3 \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not recognise the distributive property" } ]
[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() always true" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]
[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() sometimes true" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]
[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() Need more information" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Only Katie" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]
[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Neither is correct" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]
[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 8 \\)" }, { "from": "gpt", "value": "Uses slant height instead of perpendicular height to find area of a trapezium" } ]
[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 7.5 \\)" }, { "from": "gpt", "value": "Uses slant height instead of perpendicular height to find area of a trapezium" } ]
[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 3 \\)" }, { "from": "gpt", "value": "Uses base instead of height as h in area of a trapezium formula" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Only Tom" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]
[ { "from": "human", "value": "Calculate which two integer values the decimal equivalent of a square root must lie between Without using a calculator, which two integers must \\( \\sqrt{89} \\) lie between? \\( 44 \\) and \\( 45 \\)" }, { "from": "gpt", "value": "Confuses square rooting and halving the number" } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nWho is correct? Both Jo and Paul" }, { "from": "gpt", "value": "When solving an equation with a fraction, thinks you don't need to multiply every term on both sides when multiplying by the denominator " } ]
[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not know how to solve linear equations involving fractions" } ]
[ { "from": "human", "value": "Given a positive x value, find a y value in a table of values for lines in the form y = mx + c \\begin{tabular}{l\|l\|l\|l}\n\\( x \\) & \\( \\) & \\( 0 \\) & \\( 3 \\) \\\\\n\\hline\\( y \\) & \\( -7 \\) & \\( -5 \\) & \\( \\color{gold}\\bigstar\\ \\) \\\\\n\\end{tabular}\n This is a table of values for \\( y=2 x+c \\)\nWhat should replace the star? \\( 6 \\)" }, { "from": "gpt", "value": "Does not realise that a pair of coordinates can be used to find missing parts of an equation" } ]
[ { "from": "human", "value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid with two rectangles drawn on it. The rectangle labelled ABCD has the coordinates: A(1,3) B(1,5) C(2,5) and D(2,3). The other rectangle has the coordinates: (4,3) (6,3) (6,2) and (4,2).]() He has translated by the vector \\( \\left(\\begin{array}{l}3 \\\\ 2\\end{array}\\right) \\)" }, { "from": "gpt", "value": "Does not recognise that a shape translated would not change orientation" } ]
[ { "from": "human", "value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid with two rectangles drawn on it. The rectangle labelled ABCD has the coordinates: A(1,3) B(1,5) C(2,5) and D(2,3). The other rectangle has the coordinates: (4,3) (6,3) (6,2) and (4,2).]() He has rotated \\( 90^{\\circ} \\) anticlockwise" }, { "from": "gpt", "value": "Mixes up clockwise and anticlockwise" } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,1) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,0) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]
[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,-2) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]
[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() A" }, { "from": "gpt", "value": "Confuses corresponding and vertically opposite angles" } ]
[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() B" }, { "from": "gpt", "value": "Confuses co-interior and corresponding angles" } ]
[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() D" }, { "from": "gpt", "value": "Confuses corresponding and alternate angles" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Only Katie" }, { "from": "gpt", "value": "Does not understand that when multiplying both sides of an equation by an amount every term must be multiplied by the same amount" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Does not understand that when multiplying both sides of an equation by an amount every term must be multiplied by the same amount" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of working could be: \\( x-5=36 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]

[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.34 \\)" }, { "from": "gpt", "value": "Believes subtraction is commutative " } ]

[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( -0.44 \\)" }, { "from": "gpt", "value": "Believes you subtract the smaller digit from the larger digit in column subtraction, regardless of position" } ]

[ { "from": "human", "value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.2 \\)" }, { "from": "gpt", "value": "When subtracting decimals with a different number of decimal places, lines up the digits incorrectly" } ]

[ { "from": "human", "value": "Represent positive unit fractions on a number line The probability of picking a green ball is \\( \\frac{1}{5} \\) Where is this value on the probability scale? ![B\nc\nD]() C" }, { "from": "gpt", "value": "Converts a fraction to a decimal by using the denominator after the decimal point" } ]

[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]

[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Only\nPaul" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]

[ { "from": "human", "value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subtract \\( 19 \\) is to subtract \\( 10 \\), then another \\( 10 \\) and then add \\( 1 \\).\n\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand the effect of consecutive operations" } ]

[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 24 \\)" }, { "from": "gpt", "value": "Counts partial symbols as if they were whole on pictograms" } ]

[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 16 \\)" }, { "from": "gpt", "value": "Ignores partial symbols on pictograms" } ]

[ { "from": "human", "value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people went to game 4? \\( 2.75 \\)" }, { "from": "gpt", "value": "When interpreting a pictogram, thinks each symbol stands for 1" } ]

[ { "from": "human", "value": "Solve problems involving converting between fractions, decimals and percentages Jo and Paul are arguing about percentages.\nJo says \\( 52 \\%=0.052 \\)\nPaul says \\( 52 \\%<\\frac{20}{41} \\)\nWho is correct? Only\nJo" }, { "from": "gpt", "value": "Divides by 1000 instead of 100 when converting a percentage to a decimal" } ]

[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{2}{12} \\)" }, { "from": "gpt", "value": "Can identify the multiplier used to form an equivalent fraction but does not apply to the numerator" } ]

[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{4}{12} \\)" }, { "from": "gpt", "value": "Does not understand equivalent fractions" } ]

[ { "from": "human", "value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{10}{12} \\)" }, { "from": "gpt", "value": "Believes equivalent fractions are formed with addition not multiplication" } ]

[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Variable" }, { "from": "gpt", "value": "Confuses a term with a variable" } ]

[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Expression" }, { "from": "gpt", "value": "Confuses an expression with a term" } ]

[ { "from": "human", "value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Equation" }, { "from": "gpt", "value": "Confuses a term with an equation" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (3, -1). Point (3, -1) is labelled with the letter \"P\". ]() \\( (0,-1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (3, -1). Point (3, -1) is labelled with the letter \"P\". ]() \\( (-2,-1) \\)" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical 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 \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axes: x-axis from -5 to 5, y-axis from -2 to 2. Three points are plotted and joined to make a triangle: (2, -2), (4, -2), (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 vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The top right corner of the rectangle is marked with the letter P, which is 5 squares up from the bottom of the grid on the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]

[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 85^{\\circ} \\)" }, { "from": "gpt", "value": "Does not understand that an obtuse angle is between 90 and 180 degrees" } ]

[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 270^{\\circ} \\)" }, { "from": "gpt", "value": "Does not understand that an obtuse angle is between 90 and 180 degrees" } ]

[ { "from": "human", "value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 180^{\\circ} \\)" }, { "from": "gpt", "value": "Believes 180 degrees is an obtuse angle" } ]

[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rhombus" }, { "from": "gpt", "value": "Does not remember that a rhombus has equal sides" } ]

[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Kite" }, { "from": "gpt", "value": "Does not recognise the properties of a kite" } ]

[ { "from": "human", "value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rectangle" }, { "from": "gpt", "value": "Does not know the properties of a rectangle" } ]

[ { "from": "human", "value": "Convert between m³ and cm³ \\(\n0.7 m^3 =\\bigstar \\,cm^3\n\\)\n\nWhat should replace the star? \\( 70 \\)" }, { "from": "gpt", "value": "Does not cube the conversion factor when converting cubed units" } ]

[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 100 \\)" }, { "from": "gpt", "value": "Rounds to the wrong degree of accuracy (rounds too little)" } ]

[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 120 \\)" }, { "from": "gpt", "value": "Rounds down instead of up" } ]

[ { "from": "human", "value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 126 \\)" }, { "from": "gpt", "value": "Rounds to the wrong degree of accuracy (rounds too much)" } ]

[ { "from": "human", "value": "Convert ratios to fractions Kate and Isaac share some yoghurt in the ratio \\( 2: 5 \\).\nKate has \\(_____\\) of the total yoghurt\nWhat fraction completes the sentence? \\( \\frac{2}{5} \\)" }, { "from": "gpt", "value": "When converting ratio to fractions, puts the other side of the ratio as the denominator rather than the total" } ]

[ { "from": "human", "value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\( 5.2 \\) seconds. \\( s=\\frac{1}{2}(u+v) t \\) \\( \\begin{array}{c}s=\\frac{1}{2}(2.9+3.5)+5.2 \\\\ s=8.4\\end{array} \\)" }, { "from": "gpt", "value": "Thinks two variables next to each other represent addition" } ]

[ { "from": "human", "value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\( 5.2 \\) seconds. \\( s=\\frac{1}{2}(u+v) t \\) \\( \\begin{array}{c}s=\\frac{1}{2}(2.9+3.5+5.2) \\\\ s=5.8\\end{array} \\)" }, { "from": "gpt", "value": "Thinks two variables next to each other represent addition" } ]

[ { "from": "human", "value": "Convert from years to days How many days in a non-leap year? \\( 350 \\)" }, { "from": "gpt", "value": "Thinks there are 50 weeks in a year" } ]

[ { "from": "human", "value": "Convert from years to days How many days in a non-leap year? \\( 100 \\)" }, { "from": "gpt", "value": "Does not know how many days are in a leap year" } ]

[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( (-7) \\times 2=-14 \\)" }, { "from": "gpt", "value": "Believes multiplying a positive by a negative gives a positive answer" } ]

[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times 2=14 \\)" }, { "from": "gpt", "value": "Believes multiplying two positives gives a negative answer" } ]

[ { "from": "human", "value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times(-2)=-14 \\)" }, { "from": "gpt", "value": "Believes multiplying a positive by a negative gives a positive answer" } ]

[ { "from": "human", "value": "Know that the probabilities of exhaustive events must sum to 1 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( \\frac{2}{7} \\)" }, { "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 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( 5 \\)" }, { "from": "gpt", "value": "Gives probability as an integer instead of a fraction" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 8 \\)" }, { "from": "gpt", "value": "Mixes up squaring with dividing by 2" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 32 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]

[ { "from": "human", "value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(y=x^{2}+4\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( 4 \\)" }, { "from": "gpt", "value": "Believes addition comes before indices, in orders of operation" } ]

[ { "from": "human", "value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(y=x^{2}+4\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\end{tabular} What should replace the star? \\( -32 \\)" }, { "from": "gpt", "value": "Believes the square of a negative will also be negative" } ]

[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 8 \\)" }, { "from": "gpt", "value": "Counts half-squares as full squares when calculating area on a square grid" } ]

[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 4 \\)" }, { "from": "gpt", "value": "Underestimates the area of shapes when counting squares when some squares are neither wholes nor halves" } ]

[ { "from": "human", "value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 7 \\)" }, { "from": "gpt", "value": "Counts half-squares as full squares when calculating area on a square grid" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( -32 \\)" }, { "from": "gpt", "value": "Mixes up squaring and multiplying by 2 or doubling" } ]

[ { "from": "human", "value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( 256 \\)" }, { "from": "gpt", "value": "Does not understand that the negative outside the bracket means answer will be negative" } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? ![Trapezium]()" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? ![Irregular quadrilateral]()" }, { "from": "gpt", "value": "Does not know how to find order of rotational symmetry" } ]

[ { "from": "human", "value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? They each have the same order of rotational symmetry" }, { "from": "gpt", "value": "Believes the number of sides gives the order of rotational symmetry" } ]

[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 154 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 2" } ]

[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 170 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 10" } ]

[ { "from": "human", "value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 152 \\)" }, { "from": "gpt", "value": "When reading integers on a number line, assumes each dash is 1" } ]

[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m(n+5) \\)" }, { "from": "gpt", "value": "Does not account for grammar when writing algebra e.g. ,then making a group" } ]

[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m \\times n+5 \\)" }, { "from": "gpt", "value": "Does not realize we can omit the multiplication symbol in algebraic expressions" } ]

[ { "from": "human", "value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Perpendicular" }, { "from": "gpt", "value": "Believes any lines that cross are perpendicular" } ]

[ { "from": "human", "value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Skew" }, { "from": "gpt", "value": "Does not know the term transversal" } ]

[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( m \\times m \\times m \\)" }, { "from": "gpt", "value": "Does not realize we can omit the multiplication symbol in algebraic expressions" } ]

[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( 3 m \\)" }, { "from": "gpt", "value": "Multiplies by the index" } ]

[ { "from": "human", "value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( \\mathrm{mmm} \\)" }, { "from": "gpt", "value": "Writes repeated letters instead of using index form of a variable" } ]

[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 7 \\)" }, { "from": "gpt", "value": "Believes you don't need to numerically order the data before calculating the median" } ]

[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 4 \\)" }, { "from": "gpt", "value": "When finding the median from a even dataset does not understand we must find the midpoint of the two values in the middle" } ]

[ { "from": "human", "value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 5.5 \\)" }, { "from": "gpt", "value": "Believes you don't need to numerically order the data before calculating the median" } ]

[ { "from": "human", "value": "Solve problems that combine addition and subtraction ![Think of a number, then subtract \\( 5 \\), next divide by \\( 8 \\), next add 4, and finally multiply by \\( 7 \\).]() Jo says you can write this as:\n\\[\n7\\left(\\frac{(n-5)}{8}+4\\right)\n\\]\nPaul says you can write this as:\n\\[\n7((n-5) \\div 8)+4\n\\]\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Carries out operations from left to right regardless of priority order" } ]

[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( -4 \\)" }, { "from": "gpt", "value": "When solving an equation forgets to eliminate the coefficient in front of the variable in the last step" } ]

[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( 4 \\)" }, { "from": "gpt", "value": "Believes that for a line written in the form ax + by = c, a is the gradient" } ]

[ { "from": "human", "value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( \\frac{4}{3} \\)" }, { "from": "gpt", "value": "When solving an equation, uses the same operation rather than the inverse." } ]

[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|c|c|}\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]

[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|l|l|l|l|}\n\\hline \\( \\mathrm{n} \\) & \\( 3 \\) & \\( \\mathrm{n} \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]

[ { "from": "human", "value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|l|l|l|l|}\n\\hline \\( \\mathrm{n} \\) & \\( \\mathrm{n} \\) & \\( 3 \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()" }, { "from": "gpt", "value": "Does not recognise the distributive property" } ]

[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() always true" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]

[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() sometimes true" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]

[ { "from": "human", "value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() Need more information" }, { "from": "gpt", "value": "Does not understand bar modelling in algebra" } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Only Katie" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]

[ { "from": "human", "value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallelogram with 2 pairs of parallel sides marked]() Who is correct? Neither is correct" }, { "from": "gpt", "value": "Does not know the meaning of the word regular " } ]

[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 8 \\)" }, { "from": "gpt", "value": "Uses slant height instead of perpendicular height to find area of a trapezium" } ]

[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 7.5 \\)" }, { "from": "gpt", "value": "Uses slant height instead of perpendicular height to find area of a trapezium" } ]

[ { "from": "human", "value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm. The parallel sides labelled 3cm and 8cm. The perpendicular height labelled 7cm.]() \\( 3 \\)" }, { "from": "gpt", "value": "Uses base instead of height as h in area of a trapezium formula" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Only Tom" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Both Tom and Katie" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares left from the edge of the grid. An orange rectangle (3 squares width and 2 squares height) is drawn to the left of the red line, with its right-hand side on the red line. The bottom side of the rectangle is 3 squares up from the bottom of the grid. The bottom left corner of the rectangle is marked with the letter P, which is 3 squares up from the bottom of the grid and 3 squares to the left of the red line. The bottom right corner of the rectangle is marked with the letter Q, which is 3 squares up from the bottom of the grid on the red line. ]() Tom and Katie are discussing reflections\n\nTom says if you reflect the rectangle in the vertical line, Point \\( P \\) stays in the same position\n\nKatie says if you reflect the rectangle in the vertical line, Point \\( Q \\) stays in the same position\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Fails to reflect across mirror line" } ]

[ { "from": "human", "value": "Calculate which two integer values the decimal equivalent of a square root must lie between Without using a calculator, which two integers must \\( \\sqrt{89} \\) lie between? \\( 44 \\) and \\( 45 \\)" }, { "from": "gpt", "value": "Confuses square rooting and halving the number" } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nWho is correct? Both Jo and Paul" }, { "from": "gpt", "value": "When solving an equation with a fraction, thinks you don't need to multiply every term on both sides when multiplying by the denominator " } ]

[ { "from": "human", "value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nWho is correct? Neither is correct" }, { "from": "gpt", "value": "Does not know how to solve linear equations involving fractions" } ]

[ { "from": "human", "value": "Given a positive x value, find a y value in a table of values for lines in the form y = mx + c \\begin{tabular}{l|l|l|l}\n\\( x \\) & \\( \\) & \\( 0 \\) & \\( 3 \\) \\\\\n\\hline\\( y \\) & \\( -7 \\) & \\( -5 \\) & \\( \\color{gold}\\bigstar\\ \\) \\\\\n\\end{tabular}\n This is a table of values for \\( y=2 x+c \\)\nWhat should replace the star? \\( 6 \\)" }, { "from": "gpt", "value": "Does not realise that a pair of coordinates can be used to find missing parts of an equation" } ]

[ { "from": "human", "value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid with two rectangles drawn on it. The rectangle labelled ABCD has the coordinates: A(1,3) B(1,5) C(2,5) and D(2,3). The other rectangle has the coordinates: (4,3) (6,3) (6,2) and (4,2).]() He has translated by the vector \\( \\left(\\begin{array}{l}3 \\\\ 2\\end{array}\\right) \\)" }, { "from": "gpt", "value": "Does not recognise that a shape translated would not change orientation" } ]

[ { "from": "human", "value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid with two rectangles drawn on it. The rectangle labelled ABCD has the coordinates: A(1,3) B(1,5) C(2,5) and D(2,3). The other rectangle has the coordinates: (4,3) (6,3) (6,2) and (4,2).]() He has rotated \\( 90^{\\circ} \\) anticlockwise" }, { "from": "gpt", "value": "Mixes up clockwise and anticlockwise" } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,1) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,0) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]

[ { "from": "human", "value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, y-axis from -3 to 4. Three points are plotted and joined to make a triangle: (2, 2), (4, 2), (3, 3). Point (2, 2) is labelled with the letter \"P\". The line y=2 is shown with a purple dashed line.]() \\( (2,-2) \\)" }, { "from": "gpt", "value": "Does not understand that a point on the line of reflection will stay the same when reflected " } ]

[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() A" }, { "from": "gpt", "value": "Confuses corresponding and vertically opposite angles" } ]

[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() B" }, { "from": "gpt", "value": "Confuses co-interior and corresponding angles" } ]

[ { "from": "human", "value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle labelled p. On the right hand side, angle B is co-interior to p. Then lying on the same straight line as B is the angle labelled C. Vertically opposite angle C is the angle labelled D.]() D" }, { "from": "gpt", "value": "Confuses corresponding and alternate angles" } ]