conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Represent an equation using a bar model Tom and Katie are discussing bar models. Tom says this bar model represents \\( 5 x \\) \\begin{tabular}{l|l}\n\\hline \\( 5 \\) & \\( x \\) \\\\\n\\hline\n\\end{tabular} Katie says this bar model represents \\( 5 x \\) \\begin{tabular}{l|... |
[
{
"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 rhombus]() Katie says this is a regular polygon: ![A rectangle]() Who is correct? Only\nTom"
},
... |
[
{
"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 rhombus]() Katie says this is a regular polygon: ![A rectangle]() Who is correct? Only Katie"
},
... |
[
{
"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 rhombus]() Katie says this is a regular polygon: ![A rectangle]() Who is correct? Both Tom and Kati... |
[
{
"from": "human",
"value": "Given a positive 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\\(\ny=x^{2}-1\n\\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 5 \\) \\\\\n\\hline\\( y \\) & \\( \\color{gold}\\bigstar \\) \\... |
[
{
"from": "human",
"value": "Given a positive 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\\(\ny=x^{2}-1\n\\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 5 \\) \\\\\n\\hline\\( y \\) & \\( \\color{gold}\\bigstar \\) \\... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Mo wants to solve this equation using the quadratic formula.\n\\(\n5 h^{2}-3 h-2=0\n\\)\n\nWhat total should replace the square? \\( \\begin{array}{l} \\frac{ ?\\pm \\sqrt{9-(-40)}}{?} \\... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Mo wants to solve this equation using the quadratic formula.\n\\(\n5 h^{2}-3 h-2=0\n\\)\n\nWhat total should replace the square? \\( \\begin{array}{l} \\frac{ ?\\pm \\sqrt{9-(-40)}}{?} \\... |
[
{
"from": "human",
"value": "Use common conventions for labelling the sides of shapes Which of the following is a correct way to describe the highlighted side of this shape? ![A 4 sided shape with two pairs of parallel sides. Each vertex (corner) is labelled with a letter. The bottom right is S, the bottom... |
[
{
"from": "human",
"value": "Use common conventions for labelling the sides of shapes Which of the following is a correct way to describe the highlighted side of this shape? ![A 4 sided shape with two pairs of parallel sides. Each vertex (corner) is labelled with a letter. The bottom right is S, the bottom... |
[
{
"from": "human",
"value": "Use common conventions for labelling the sides of shapes Which of the following is a correct way to describe the highlighted side of this shape? ![A 4 sided shape with two pairs of parallel sides. Each vertex (corner) is labelled with a letter. The bottom right is S, the bottom... |
[
{
"from": "human",
"value": "Multiply algebraic terms, involving non-linear versions of different letters (e.g. 4a2 x 5ab) \\( 5 p^{2} \\times 2 p q \\equiv \\) \\( 7 p^{3} q \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiplies when multiplying algebraic terms"
}
] |
[
{
"from": "human",
"value": "Multiply algebraic terms, involving non-linear versions of different letters (e.g. 4a2 x 5ab) \\( 5 p^{2} \\times 2 p q \\equiv \\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not understand how to multiply algebraic terms"
}
] |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![A comparison bar model showing 188 is the same as four lots of 47]() Tom uses the bar model to write:\n\\[\n188 \\div 4=47\n\\] Katie uses the bar model to write:\n\\[\n188 \\... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![A comparison bar model showing 188 is the same as four lots of 47]() Tom uses the bar model to write:\n\\[\n188 \\div 4=47\n\\] Katie uses the bar model to write:\n\\[\n188 \\... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![A comparison bar model showing 188 is the same as four lots of 47]() Tom uses the bar model to write:\n\\[\n188 \\div 4=47\n\\] Katie uses the bar model to write:\n\\[\n188 \\... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number \\begin{tabular}{llllll}\n\\( \\frac{2}{10} \\) & \\( \\frac{9}{50} \\) & \\( \\frac{9}{20} \\) & \\( 0.21 \\) & \\( \\frac{1}{5} \\) & \\( \\frac{19}{100} \\) \\\\\n\\hline\n\\end{tabular} Which value is the o... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number \\begin{tabular}{llllll}\n\\( \\frac{2}{10} \\) & \\( \\frac{9}{50} \\) & \\( \\frac{9}{20} \\) & \\( 0.21 \\) & \\( \\frac{1}{5} \\) & \\( \\frac{19}{100} \\) \\\\\n\\hline\n\\end{tabular} Which value is the o... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number \\begin{tabular}{llllll}\n\\( \\frac{2}{10} \\) & \\( \\frac{9}{50} \\) & \\( \\frac{9}{20} \\) & \\( 0.21 \\) & \\( \\frac{1}{5} \\) & \\( \\frac{19}{100} \\) \\\\\n\\hline\n\\end{tabular} Which value is the o... |
[
{
"from": "human",
"value": "Find missing angles using angles around a point What is the size of angle \\( x \\) ? ![Angles around a point, split into 2 parts. One is labelled 310 degrees and the other x.]() \\( 310^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Incorrectly identifies angles as ver... |
[
{
"from": "human",
"value": "Find missing angles using angles around a point What is the size of angle \\( x \\) ? ![Angles around a point, split into 2 parts. One is labelled 310 degrees and the other x.]() \\( 90^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Does not know that angles around a po... |
[
{
"from": "human",
"value": "Find missing angles using angles around a point What is the size of angle \\( x \\) ? ![Angles around a point, split into 2 parts. One is labelled 310 degrees and the other x.]() \\( 45^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Estimates angle rather than calculati... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising both the numerator and denominator Write the following as simply as possible:\n\\(\n\\frac{(x+3)(x+5)}{(x+3)(x+10)}\n\\) \\( \\frac{x+1}{x+2} \\)"
},
{
"from": "gpt",
"value": "Misunderstands the concept of common factors... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising both the numerator and denominator Write the following as simply as possible:\n\\(\n\\frac{(x+3)(x+5)}{(x+3)(x+10)}\n\\) \\( \\frac{x^{2}+8 x+15}{x^{2}+13 x+30} \\)"
},
{
"from": "gpt",
"value": "Expands when asked to sim... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which of the following calculations would give you the total surface area of this cuboid in \\( \\mathrm{cm}^{2} \\) ? ![A cuboid. The height is 4cm, the depth is 3cm and the width is 6cm.]()... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which of the following calculations would give you the total surface area of this cuboid in \\( \\mathrm{cm}^{2} \\) ? ![A cuboid. The height is 4cm, the depth is 3cm and the width is 6cm.]()... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which of the following calculations would give you the total surface area of this cuboid in \\( \\mathrm{cm}^{2} \\) ? ![A cuboid. The height is 4cm, the depth is 3cm and the width is 6cm.]()... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\[\n1+2 \\times(3-4)=\n\\]\n\nWhich calculation should you do first? \\( 1+2 \\)"
},
{
"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 brackets \\[\n1+2 \\times(3-4)=\n\\]\n\nWhich calculation should you do first? \\( 2 \\times 3 \\)"
},
{
"from": "gpt",
"value": "Answers order of operations questions with brackets as if the brackets ar... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\[\n1+2 \\times(3-4)=\n\\]\n\nWhich calculation should you do first? It doesn't matter: you get the same answer"
},
{
"from": "gpt",
"value": "Believes order of operations does not affect the a... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, involving positive fractions Solve the equation:\n\\(\n5 p=\\frac{1}{10}\n\\) \\( p=\\frac{1}{2} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than the... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 4-5+6= \\)\nProblem Q: \\( 4+5 \\times 6= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 4-5 \\)\nProblem Q: \\( 4+... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 4-5+6= \\)\nProblem Q: \\( 4+5 \\times 6= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 5+6 \\)\nProblem Q: \\( 4+... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 4-5+6= \\)\nProblem Q: \\( 4+5 \\times 6= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 5+6 \\)\nProblem Q: \\( 5 ... |
[
{
"from": "human",
"value": "Use the nth term rule of an ascending integer linear sequence to test whether a term belongs in the sequence or not Eliza is trying to work out if \\( 82 \\) is a term in the sequence \\( 3 n+1 \\)\n\nBelow is her working out. What conclusion should Eliza draw?\n\n \\( \\begin{a... |
[
{
"from": "human",
"value": "Use the nth term rule of an ascending integer linear sequence to test whether a term belongs in the sequence or not Eliza is trying to work out if \\( 82 \\) is a term in the sequence \\( 3 n+1 \\)\n\nBelow is her working out. What conclusion should Eliza draw?\n\n \\( \\begin{a... |
[
{
"from": "human",
"value": "Use the nth term rule of an ascending integer linear sequence to test whether a term belongs in the sequence or not Eliza is trying to work out if \\( 82 \\) is a term in the sequence \\( 3 n+1 \\)\n\nBelow is her working out. What conclusion should Eliza draw?\n\n \\( \\begin{a... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+2 t+1}{t+1} \\) \\( t+2 \\)"
},
{
"from": "gpt",
"value": "Incorrectly cancels what they believe is a factor in algebraic fractions"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+2 t+1}{t+1} \\) \\( t^{2}+t \\)"
},
{
"from": "gpt",
"value": "Simplifies a fraction by adding or subtracting the same amount from the numerator and den... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+2 t+1}{t+1} \\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not recognise factorising a quadratic"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Which calculation gives the fraction that replaces the question mark? ![A horizontal bar divided into 4 equal sections with vertical lines. The left hand section of these is coloured green and is further divided into 2 e... |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Which calculation gives the fraction that replaces the question mark? ![A horizontal bar divided into 4 equal sections with vertical lines. The left hand section of these is coloured green and is further divided into 2 e... |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Which calculation gives the fraction that replaces the question mark? ![A horizontal bar divided into 4 equal sections with vertical lines. The left hand section of these is coloured green and is further divided into 2 e... |
[
{
"from": "human",
"value": "Label angles using correct 3-letter notation (e.g. angle ADB) Which of the following correctly describes the marked angle? ![An image of square ABCE. D lies 1/3 from C on the line CE and is connected to A by a line. Attached to the square at line CE is a pentagon CEFGH. G is con... |
[
{
"from": "human",
"value": "Label angles using correct 3-letter notation (e.g. angle ADB) Which of the following correctly describes the marked angle? ![An image of square ABCE. D lies 1/3 from C on the line CE and is connected to A by a line. Attached to the square at line CE is a pentagon CEFGH. G is con... |
[
{
"from": "human",
"value": "Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one Jo and Paul are arguing about the best way to count the number of squares in Pattern \\( 15 \\).\nJo does: \\( 15 \\times 3+4 \\)\nPaul does: \\( (15+2) \... |
[
{
"from": "human",
"value": "Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one Jo and Paul are arguing about the best way to count the number of squares in Pattern \\( 15 \\).\nJo does: \\( 15 \\times 3+4 \\)\nPaul does: \\( (15+2) \... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Simplify, if possible:\n\\(\na^{2} \\times a\n\\) \\( 2 a^{2} \\)"
},
{
"from": "gpt",
"value": "Does not understand how to multiply algebraic terms"
}
] |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Simplify, if possible:\n\\(\na^{2} \\times a\n\\) \\( 3 a \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Simplify, if possible:\n\\(\na^{2} \\times a\n\\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not understand how to multiply algebraic terms"
}
] |
[
{
"from": "human",
"value": "Carry out multiplication problems involving one negative integer \\( 3 \\times(-5)= \\) \\( 15 \\)"
},
{
"from": "gpt",
"value": "When multiplying with negative numbers, assumes any negative sign can be ignored"
}
] |
[
{
"from": "human",
"value": "Convert the reminders from written division problems into decimals John has been asked to work out the answer to:\n\\[\n232 \\div 5\n\\]\nHe gets the answer \\( 46 \\) remainder \\( 2 \\)\nWhat is the exact value of that remainder? \\( 0.2 \\)"
},
{
"from": "gpt",
"v... |
[
{
"from": "human",
"value": "Convert the reminders from written division problems into decimals John has been asked to work out the answer to:\n\\[\n232 \\div 5\n\\]\nHe gets the answer \\( 46 \\) remainder \\( 2 \\)\nWhat is the exact value of that remainder? \\( 2 \\)"
},
{
"from": "gpt",
"val... |
[
{
"from": "human",
"value": "Convert the reminders from written division problems into decimals John has been asked to work out the answer to:\n\\[\n232 \\div 5\n\\]\nHe gets the answer \\( 46 \\) remainder \\( 2 \\)\nWhat is the exact value of that remainder? \\( 0.25 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Subtract algebraic fractions where the denominators are linear expressions, eg (x + 5) and (x - 3), and the numerators are single terms STEP \\( 1 \\)\nWhich of the options is a correct first step to express the following as a single fraction?\n\\(\n\\frac{3}{x-2}-\\frac{5}{x}\n... |
[
{
"from": "human",
"value": "Subtract algebraic fractions where the denominators are linear expressions, eg (x + 5) and (x - 3), and the numerators are single terms STEP \\( 1 \\)\nWhich of the options is a correct first step to express the following as a single fraction?\n\\(\n\\frac{3}{x-2}-\\frac{5}{x}\n... |
[
{
"from": "human",
"value": "Subtract algebraic fractions where the denominators are linear expressions, eg (x + 5) and (x - 3), and the numerators are single terms STEP \\( 1 \\)\nWhich of the options is a correct first step to express the following as a single fraction?\n\\(\n\\frac{3}{x-2}-\\frac{5}{x}\n... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 23.725 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places ra... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 0.038 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is the... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 0.0599 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is th... |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 1.39+2.53= \\) \\( 4.01 \\)"
},
{
"from": "gpt",
"value": "When adding decimals, just adds the digits and ignores place value"
}
] |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 1.39+2.53= \\) \\( 3.812 \\)"
},
{
"from": "gpt",
"value": "When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit"
}
] |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 1.39+2.53= \\) \\( 3.82 \\)"
},
{
"from": "gpt",
"value": "When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit"
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Which option gives a correct substitution into the quadratic formula to solve the quadratic equation?\n\n\\(\n3 x^{2}+2 x-5=0\n\\) \\( -2 \\pm \\frac{\\sqrt{2^{2}-4(3)(-5)}}{2(3)} \\)"
... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Which option gives a correct substitution into the quadratic formula to solve the quadratic equation?\n\n\\(\n3 x^{2}+2 x-5=0\n\\) \\( 2 \\pm \\frac{\\sqrt{2^{2}-4(3)(-5)}}{2(3)} \\)"
}... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Which option gives a correct substitution into the quadratic formula to solve the quadratic equation?\n\n\\(\n3 x^{2}+2 x-5=0\n\\) \\( \\frac{2 \\pm \\sqrt{2^{2}-4(3)(-5)}}{2(3)} \\)"
}... |
[
{
"from": "human",
"value": "Divide two decimals with the same number of decimal places What should replace the star?\n\\(\n0.3 \\div \\bigstar=1.2\n\\) \\( 4 \\)"
},
{
"from": "gpt",
"value": "When solving an equation, multiplies instead of dividing "
}
] |
[
{
"from": "human",
"value": "Divide two decimals with the same number of decimal places What should replace the star?\n\\(\n0.3 \\div \\bigstar=1.2\n\\) \\( 0.9 \\)"
},
{
"from": "gpt",
"value": "When solving an equation, adds instead of dividing"
}
] |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units What is the area of this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled 10 cm, 7 cm, 3 cm and 4 cm. Two sides are... |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units What is the area of this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled 10 cm, 7 cm, 3 cm and 4 cm. Two sides are... |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units What is the area of this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled 10 cm, 7 cm, 3 cm and 4 cm. Two sides are... |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (ax + b)(cx + d) Alison is expanding these two brackets.\n\nWhat should she get when she multiplies the two terms indicated by the arrows? ![The two brackets are (5p-4)(2p-3). The arrows are pointing at the 5p in the first bracke... |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (ax + b)(cx + d) Alison is expanding these two brackets.\n\nWhat should she get when she multiplies the two terms indicated by the arrows? ![The two brackets are (5p-4)(2p-3). The arrows are pointing at the 5p in the first bracke... |
[
{
"from": "human",
"value": "Multiply a decimal by an integer Work out:\n\\[\n0.3 \\times 12\n\\] \\( 36 \\)"
},
{
"from": "gpt",
"value": "When multiplying decimals, ignores place value and just multiplies the digits"
}
] |
[
{
"from": "human",
"value": "Multiply a decimal by an integer Work out:\n\\[\n0.3 \\times 12\n\\] \\( 0.36 \\)"
},
{
"from": "gpt",
"value": "When multiplying a decimal less than 1 by an integer, gives an answer 10 times smaller than it should be"
}
] |
[
{
"from": "human",
"value": "Multiply a decimal by an integer Work out:\n\\[\n0.3 \\times 12\n\\] \\( 0.036 \\)"
},
{
"from": "gpt",
"value": "When multiplying a decimal less than 1 by an integer, gives an answer 100 times smaller than it should be"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise \\( x^{2}+15 x+36 \\) Factorise \\( x^{2}+15 x+36 \\) \\( (x+4)(x+9) \\) \\( (x+4)(x+9) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers t... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise \\( x^{2}+15 x+36 \\) Factorise \\( x^{2}+15 x+36 \\) \\( (x+1)(x+36) \\) \\( (x+1)(x+36) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise \\( x^{2}+15 x+36 \\) Factorise \\( x^{2}+15 x+36 \\) \\( (x+7)(x+18) \\) \\( (x+7)(x+18) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers... |
[
{
"from": "human",
"value": "Identify a kite from a description of the properties Which of the following quadrilaterals could not be classified as a kite? Square"
},
{
"from": "gpt",
"value": "Does not recognise the properties of a kite"
}
] |
[
{
"from": "human",
"value": "Identify a kite from a description of the properties Which of the following quadrilaterals could not be classified as a kite? Rhombus"
},
{
"from": "gpt",
"value": "Does not recognise the properties of a kite"
}
] |
[
{
"from": "human",
"value": "Identify a kite from a description of the properties Which of the following quadrilaterals could not be classified as a kite? None of them are kites"
},
{
"from": "gpt",
"value": "Does not believe a shape can have two correct names e.g. rectangle and parallelogram"
... |
[
{
"from": "human",
"value": "Identify the number of degrees in fractions of a turn How many degrees are there in \\( 1 \\frac{1}{4} \\) full turns? \\( 385^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Assumes a 1/4 of a whole is 25"
}
] |
[
{
"from": "human",
"value": "Identify the number of degrees in fractions of a turn How many degrees are there in \\( 1 \\frac{1}{4} \\) full turns? \\( 125^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes there are 100 degrees in a full turn"
}
] |
[
{
"from": "human",
"value": "Find a negative reciprocal \\( \\frac{2}{5} \\times \\star=-1 \\) What should replace the star? \\( -\\frac{2}{5} \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. missing number problems), does the original operation"... |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{9 9 9 . 9 9 9} \\) rounded to the nearest ten? \\( 990 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{9 9 9 . 9 9 9} \\) rounded to the nearest ten? \\( 100 \\)"
},
{
"from": "gpt",
"value": "When rounding up from a 9, does not add one on to the digit to the left"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{9 9 9 . 9 9 9} \\) rounded to the nearest ten? \\( 900 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Add proper fractions with different denominators where one is a multiple of the other Calculate:\n\\(\n\\frac{2}{9}+\\frac{1}{3}\n\\) \\( \\frac{3}{12} \\)"
},
{
"from": "gpt",
"value": "When adding fractions, adds the numerators and denominators"
}
] |
[
{
"from": "human",
"value": "Add proper fractions with different denominators where one is a multiple of the other Calculate:\n\\(\n\\frac{2}{9}+\\frac{1}{3}\n\\) \\( \\frac{3}{9} \\)"
},
{
"from": "gpt",
"value": "Does not consider the denominator when adding/ subtracting fractions. Adds/subtra... |
[
{
"from": "human",
"value": "Add proper fractions with different denominators where one is a multiple of the other Calculate:\n\\(\n\\frac{2}{9}+\\frac{1}{3}\n\\) \\( \\frac{1}{6} \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds"
}
] |
[
{
"from": "human",
"value": "Answer decimal problems that require the use of BIDMAS Tom and Katie are discussing the order of operations\nTom says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.1-(0.2 \\div 0.3) \\)\nKatie says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.2 \\div 0.3-0.1 \\)\nWho is correct? Only\nKatie"
},
{
... |
[
{
"from": "human",
"value": "Answer decimal problems that require the use of BIDMAS Tom and Katie are discussing the order of operations\nTom says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.1-(0.2 \\div 0.3) \\)\nKatie says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.2 \\div 0.3-0.1 \\)\nWho is correct? Both Tom and Katie"
},... |
[
{
"from": "human",
"value": "Answer decimal problems that require the use of BIDMAS Tom and Katie are discussing the order of operations\nTom says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.1-(0.2 \\div 0.3) \\)\nKatie says: \\( 0.1-0.2 \\div 0.3 \\equiv 0.2 \\div 0.3-0.1 \\)\nWho is correct? Neither is correct"
},... |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\(\n2 \\frac{2}{5}-\\frac{1}{15}=2 \\frac{1}{\\bigstar}\n\\)\nWhat should replace the star? \\( 10 \\)"
},
{
"from": "gpt",
"value": "When subtracting fractions, subtracts the numerators... |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\(\n2 \\frac{2}{5}-\\frac{1}{15}=2 \\frac{1}{\\bigstar}\n\\)\nWhat should replace the star? \\( 15 \\)"
},
{
"from": "gpt",
"value": "Forgot to simplify the fraction"
}
] |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\(\n2 \\frac{2}{5}-\\frac{1}{15}=2 \\frac{1}{\\bigstar}\n\\)\nWhat should replace the star? \\( 5 \\)"
},
{
"from": "gpt",
"value": "Believes when simplifying a fraction you can divide t... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{9}^{x} \\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 0 \\) \\\\\n\\hline\\( y \\) & \\(\\color{gold}\\... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{9}^{x} \\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 0 \\) \\\\\n\\hline\\( y \\) & \\(\\color{gold}\\... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{9}^{x} \\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 0 \\) \\\\\n\\hline\\( y \\) & \\(\\color{gold}\\... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.