conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Prove statements involving multiples Which of the following expressions is always a multiple of \\( 5 \\) if \\( n \\) is a positive integer. \\( 5 n+2 \\)"
},
{
"from": "gpt",
"value": "Believes that an + b is still a multiple of a"
}
] |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure What is \\( \\mathbf{4 5 . 6 2 8} \\) rounded to one significant figure? \\( 45.6 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places rather than significant figures)"
}
] |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure What is \\( \\mathbf{4 5 . 6 2 8} \\) rounded to one significant figure? \\( 40 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, involving negative integers Tom and Katie are discussing how to solve:\n\\(\\frac{5 x}{3}-1=-2\\)\n\nTom says a correct next line of working could be: \\( 5 x-3=-6 \\)\n\nKatie says a correct next line of ... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, involving negative integers Tom and Katie are discussing how to solve:\n\\(\\frac{5 x}{3}-1=-2\\)\n\nTom says a correct next line of working could be: \\( 5 x-3=-6 \\)\n\nKatie says a correct next line of ... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph, f(x), write down the solutions to f(x) = a According to the graph, what is the approximate solution to\n\\(x^{2}-x-9=-6\\) ![A set of axes with the quadratic graph y=x^2-x-9 drawn on.]() \\( x=-9 \\)"
},
{
"from": "gpt",
"value": ... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph, f(x), write down the solutions to f(x) = a According to the graph, what is the approximate solution to\n\\(x^{2}-x-9=-6\\) ![A set of axes with the quadratic graph y=x^2-x-9 drawn on.]() \\( x=3.5, \\quad x=-2.5 \\)"
},
{
"from": "gpt... |
[
{
"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 ... |
[
{
"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 ... |
[
{
"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 ... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is subtract 3 and the output is 7]() What is the input of this function machine? \\( 21 \\)"
},
{
"from": "gpt",
"value": "Thinks the inverse of subtraction is multipl... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is subtract 3 and the output is 7]() What is the input of this function machine? \\( -4 \\)"
},
{
"from": "gpt",
"value": "Believes subtraction is commutative "
}
] |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is subtract 3 and the output is 7]() What is the input of this function machine? \\( 4 \\)"
},
{
"from": "gpt",
"value": "When finding an input of a function machine t... |
[
{
"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 15 cm, 12 cm, 7 cm and 7 cm. Two sides ar... |
[
{
"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 15 cm, 12 cm, 7 cm and 7 cm. Two sides ar... |
[
{
"from": "human",
"value": "Solve a linear equation using a function machine If I put the numbers \\( 4 \\) and \\( 9 \\) into this function machine, what comes out? ![Flow chart starting with instruction \"In\" inside a blue rimmed circle, then \"+ 5\" inside a red rimmed square, then \"double\" inside a ... |
[
{
"from": "human",
"value": "Solve a linear equation using a function machine If I put the numbers \\( 4 \\) and \\( 9 \\) into this function machine, what comes out? ![Flow chart starting with instruction \"In\" inside a blue rimmed circle, then \"+ 5\" inside a red rimmed square, then \"double\" inside a ... |
[
{
"from": "human",
"value": "Insert brackets to make a calculation correct Add brackets to this calculation to make the answer \\( 7 \\). \\( 16-6+4 \\div 2 \\) \\( 16-(6+4) \\div 2 \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
}
] |
[
{
"from": "human",
"value": "Insert brackets to make a calculation correct Add brackets to this calculation to make the answer \\( 7 \\). \\( 16-6+4 \\div 2 \\) \\( (16-6)+4 \\div 2 \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
}
] |
[
{
"from": "human",
"value": "Insert brackets to make a calculation correct Add brackets to this calculation to make the answer \\( 7 \\). \\( 16-6+4 \\div 2 \\) \\( 16-6+(4 \\div 2) \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
}
] |
[
{
"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 This is a table of values for \\( y=2 x+c \\) What should replace the star? ![\\begin{tabular}{l|l|l|c}\n\\( x \\) & & \\( 0 \\) & \\( 3 \\) \\\\\n\\hline\\( y \\) & \\( -5 \\) & \\( ... |
[
{
"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 This is a table of values for \\( y=2 x+c \\) What should replace the star? ![\\begin{tabular}{l|l|l|c}\n\\( x \\) & & \\( 0 \\) & \\( 3 \\) \\\\\n\\hline\\( y \\) & \\( -5 \\) & \\( ... |
[
{
"from": "human",
"value": "Shade percentages of a shape where the percent is a multiple of 10 How many rectangles would you need to shade so that \\( 60 \\% \\) of this shape is shaded? ![A rectangle split into 20 equal parts]() \\( 6 \\)"
},
{
"from": "gpt",
"value": "Assumed each part of a f... |
[
{
"from": "human",
"value": "Shade percentages of a shape where the percent is a multiple of 10 How many rectangles would you need to shade so that \\( 60 \\% \\) of this shape is shaded? ![A rectangle split into 20 equal parts]() \\( 3 \\)"
},
{
"from": "gpt",
"value": "Divides rather than mult... |
[
{
"from": "human",
"value": "Recognise cube numbers Which of the following numbers is a cube number? \\( 3 \\)"
},
{
"from": "gpt",
"value": "Mixes up cubing and multiplying by 3"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers Which of the following numbers is a cube number? \\( 9 \\)"
},
{
"from": "gpt",
"value": "Mixes up square numbers and cube numbers"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers Which of the following numbers is a cube number? None of these numbers are cube numbers"
},
{
"from": "gpt",
"value": "Does not know what a cube number is"
}
] |
[
{
"from": "human",
"value": "Represent the solution to a graphical inequality involving a combination of vertical, horizontal and diagonal lines The diagram on the right shows the lines \\( 2=x+y \\) and \\( x=y \\)\n\nWhich of the following coordinates satisfies the following inequalities?\n\\[\n2<x+y \\te... |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using short division \\[\n3 \\times \\square=384\n\\]\n\nFind the missing number. \\( 121 \\)"
},
{
"from": "gpt",
"value": "When dividing, ignores any remainders"
}
] |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using short division \\[\n3 \\times \\square=384\n\\]\n\nFind the missing number. \\( 1152 \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. missing number problems), does the origin... |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using short division \\[\n3 \\times \\square=384\n\\]\n\nFind the missing number. \\( 161 \\)"
},
{
"from": "gpt",
"value": "When solving a problem using written division (bus-stop method), does the calculation from right to left"
... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has rotational symmetry order \\( 2 \\) ? ![Square]()"
},
{
"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 shape has rotational symmetry order \\( 2 \\) ? ![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 shape has rotational symmetry order \\( 2 \\) ? ![Hexagon]()"
},
{
"from": "gpt",
"value": "Does not connect rotational symmetry to number of sides/vertices"
}
] |
[
{
"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 the shaded section of this composite shape made from rectangles? ![A composite shape that looks like a staircase going up from left to right, consi... |
[
{
"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 the shaded section of this composite shape made from rectangles? ![A composite shape that looks like a staircase going up from left to right, consi... |
[
{
"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 the shaded section of this composite shape made from rectangles? ![A composite shape that looks like a staircase going up from left to right, consi... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape In which region would an isosceles triangle belong? ![Venn diagram with two circles labelled with 'exactly one line of symmetry' and 'rotational symmetry of order 3'. A is in the only exactly one line of symmetry region, B is ... |
[
{
"from": "human",
"value": "Write a surd in the form √a in a simplified form \\(\n\\sqrt{75}=n \\sqrt{3}\n\\)\n\nWhat is the value of \\( n \\) ? \\( 25 \\)"
},
{
"from": "gpt",
"value": "When simplifying surds, does not square root the largest square number that goes into the number under the ... |
[
{
"from": "human",
"value": "Write a surd in the form √a in a simplified form \\(\n\\sqrt{75}=n \\sqrt{3}\n\\)\n\nWhat is the value of \\( n \\) ? \\( 72 \\)"
},
{
"from": "gpt",
"value": "When simplifying surds, adds the number on the outside of the surd to the number under the surd"
}
] |
[
{
"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 The blue shape is rotated \\( 90^{\\circ} \\) anticlockwise about \\( (-2,2) \\). Which shape gives the correct answer? ![A coordinate grid with 5 co... |
[
{
"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 The blue shape is rotated \\( 90^{\\circ} \\) anticlockwise about \\( (-2,2) \\). Which shape gives the correct answer? ![A coordinate grid with 5 co... |
[
{
"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 The blue shape is rotated \\( 90^{\\circ} \\) anticlockwise about \\( (-2,2) \\). Which shape gives the correct answer? ![A coordinate grid with 5 co... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Which answer shows the following calculation using the correct algebraic convention?\n\\(\nl \\times 3 \\times l \\times l \\times g \\times g\n\\) \\(l3llgg\\)"
},
{
"from": "gpt",
"value... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Which answer shows the following calculation using the correct algebraic convention?\n\\(\nl \\times 3 \\times l \\times l \\times g \\times g\n\\) \\( l 3 l^{2} g^{2} \\)"
},
{
"from": "gpt",... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers Which answer shows the following calculation using the correct algebraic convention?\n\\(\nl \\times 3 \\times l \\times l \\times g \\times g\n\\) \\( 3 g g l^{3} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures What is \\( \\mathbf{0 . 0 3 7 3} \\) rounded to two significant figures? \\( 0 \\)"
},
{
"from": "gpt",
"value": "Counts leading zero as a significant figure"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures What is \\( \\mathbf{0 . 0 3 7 3} \\) rounded to two significant figures? \\( 0.0 \\)"
},
{
"from": "gpt",
"value": "Counts leading zero as a significant figure"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures What is \\( \\mathbf{0 . 0 3 7 3} \\) rounded to two significant figures? \\( 0.04 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places rather than significant figures)"
}
] |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following is the most appropriate word to describe: \\( 6-3 g=3 \\) Variable"
},
{
"from": "gpt",
"value": "Confuses a variable with an equation"
}
] |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following is the most appropriate word to describe: \\( 6-3 g=3 \\) Expression"
},
{
"from": "gpt",
"value": "Confuses an equation with an expression"
}
] |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following is the most appropriate word to describe: \\( 6-3 g=3 \\) Term"
},
{
"from": "gpt",
"value": "Confuses a term with an equation"
}
] |
[
{
"from": "human",
"value": "Find the nth term rule for a descending integer linear sequence Here are the first three terms of a sequence \\( \\begin{array}{llll}94 & 86 & 78 & \\ldots\\end{array} \\) Find an expression for the \\( n \\)th term of this sequence. \\( 8 n+86 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Find the nth term rule for a descending integer linear sequence Here are the first three terms of a sequence \\( \\begin{array}{llll}94 & 86 & 78 & \\ldots\\end{array} \\) Find an expression for the \\( n \\)th term of this sequence. \\( -8 n \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Tom and Katie are discussing the output of this \\( 2 \\)-step function machine input \\(x\\rightarrow+ 10\\rightarrow\\) multiplied by 3\\(\\rightarrow\\) output Tom says the output is \\( \\mathbf{3 x}+\\mathbf... |
[
{
"from": "human",
"value": "Recognise the notation for parallel lines This notation means that these two lines are: ![Pair of parallel lines]() Equal"
},
{
"from": "gpt",
"value": "Does not recognise the notation for parallel sides"
}
] |
[
{
"from": "human",
"value": "Recognise the notation for parallel lines This notation means that these two lines are: ![Pair of parallel lines]() Perpendicular"
},
{
"from": "gpt",
"value": "Does not recognise the notation for parallel sides"
}
] |
[
{
"from": "human",
"value": "Recognise the notation for parallel lines This notation means that these two lines are: ![Pair of parallel lines]() Horizontal"
},
{
"from": "gpt",
"value": "Does not recognise the notation for parallel sides"
}
] |
[
{
"from": "human",
"value": "For a given input find the output of a function machine ![A function machine with 4 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left has \"input\" written above it and \"8\" written inside it. The next rectangle has \"✕2\" writte... |
[
{
"from": "human",
"value": "For a given input find the output of a function machine ![A function machine with 4 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left has \"input\" written above it and \"8\" written inside it. The next rectangle has \"✕2\" writte... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\( 4+12 \\div(2+2)= \\) \\( 10 \\)"
},
{
"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 \\( 4+12 \\div(2+2)= \\) \\( 12 \\)"
},
{
"from": "gpt",
"value": "Answers order of operations questions with brackets as if the brackets are not there"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\( 4+12 \\div(2+2)= \\) \\( 4 \\)"
},
{
"from": "gpt",
"value": "Performs addition ahead of division"
}
] |
[
{
"from": "human",
"value": "Identify the line of symmetry of curves in the form (x + a)(x + b) In which region would \\( y=(x+4)(x-2) \\) belong? ![A Venn diagram with two overlapping sets. The set on the left is 'Line of symmetry at x = 3' and the set on the right is 'y intercept is negative'. A is in onl... |
[
{
"from": "human",
"value": "Identify a prism from a diagram Which of the following shapes is a hexagonal prism? ![A hexagon.]()"
},
{
"from": "gpt",
"value": "Does not know the definition of a prism"
}
] |
[
{
"from": "human",
"value": "Identify a prism from a diagram Which of the following shapes is a hexagonal prism? ![A 3D-shape with a hexagonal base and 6 triangular faces that meet at a single vertex above the hexagonal base.]()"
},
{
"from": "gpt",
"value": "Confuses pyramid with prism"
}
] |
[
{
"from": "human",
"value": "Identify a prism from a diagram Which of the following shapes is a hexagonal prism? ![A 3D-shape with 2 identical octagonal faces connected by 8 rectangular faces.]()"
},
{
"from": "gpt",
"value": "Thinks a hexagon has 8 sides."
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{9 8 9 . 9 8 9} \\) rounded to the nearest ten? \\( 1000 \\)"
},
{
"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{9 8 9 . 9 8 9} \\) rounded to the nearest ten? \\( 989 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{9 8 9 . 9 8 9} \\) rounded to the nearest ten? \\( 980 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising both the numerator and denominator Simplify the following, if possible:\n\\(\n\\frac{3 m+15}{m^{2}-2 m+15}\n\\) \\( \\frac{3 m}{m^{2}-2 m} \\)"
},
{
"from": "gpt",
"value": "Thinks that when you cancel identical terms fro... |
[
{
"from": "human",
"value": "Interpret a pie chart A darts player hits his target \\( 40 \\% \\) of the time. Which pie chart represents his hits and misses? ![Pie chart showing hits with 2/3 of the chart and misses, highlighted in red, with 1/3]()"
},
{
"from": "gpt",
"value": "Does not know ho... |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols ![A pictogram is shown. One smiley face = 12 people. Salt and vinegar 2 faces. Ready salted 1 face. Prawn cocktail 3.5 faces. Other 2 faces]() What is missing from this pictogram? Nothing"
},
{
"from": "gpt",
"valu... |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols ![A pictogram is shown. One smiley face = 12 people. Salt and vinegar 2 faces. Ready salted 1 face. Prawn cocktail 3.5 faces. Other 2 faces]() What is missing from this pictogram? Other needs to\nsay what\nflavour it is"
},
... |
[
{
"from": "human",
"value": "Given a line segment, calculate the gradient where the gradient is a negative integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (1,2) and (0,6).]() \\( -\\frac{1}{4} \\)"
},
{
"from": "gpt",
"value":... |
[
{
"from": "human",
"value": "Given a line segment, calculate the gradient where the gradient is a negative integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (1,2) and (0,6).]() \\( -1.5 \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{p} \\) ? ![A se... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form Sally wants to write the equation of the curve in the form \\( y=(\\boldsymbol{x}+\\boldsymbol{p})^{2}+\\boldsymbol{q} \\).\nWhat is the value of \\( \\boldsymbol{p} \\) ? ![A se... |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 70.04-0.1= \\) \\( 70.94 \\)"
},
{
"from": "gpt",
"value": "When “borrowing” during a subtraction problem, does not subtract one from the preceding digit"
}
] |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 70.04-0.1= \\) \\( 70.03 \\)"
},
{
"from": "gpt",
"value": "When subtracting decimals with a different number of decimal places, lines up the digits incorrectly"
}
] |
[
{
"from": "human",
"value": "Convert between l and m³ \\( 10 \\) litres \\( =\\square \\) cubic metres \\( 10000 \\)"
},
{
"from": "gpt",
"value": "Multiplies when converting to a larger unit"
}
] |
[
{
"from": "human",
"value": "Convert between l and m³ \\( 10 \\) litres \\( =\\square \\) cubic metres \\( 10 \\)"
},
{
"from": "gpt",
"value": "Thinks 1l = 1 cubic metre"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"Square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"Square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"Square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using corresponding angles Calculate \\( t \\). ![Two parallel horizontal lines with a transversal. The lower interior angle to the right of the transversal is marked 't'. The angle to the right of the transversal and lying above the upper p... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using corresponding angles Calculate \\( t \\). ![Two parallel horizontal lines with a transversal. The lower interior angle to the right of the transversal is marked 't'. The angle to the right of the transversal and lying above the upper p... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using corresponding angles Calculate \\( t \\). ![Two parallel horizontal lines with a transversal. The lower interior angle to the right of the transversal is marked 't'. The angle to the right of the transversal and lying above the upper p... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units ![A rectangle with one part shaded, labelled with dimensions 20, 8 and 6]() Which of the following calculations would correctly work out the area of the section shaded with a solid colour? \\( 8 \... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units ![A rectangle with one part shaded, labelled with dimensions 20, 8 and 6]() Which of the following calculations would correctly work out the area of the section shaded with a solid colour? \\( 8 \... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![\\begin{tabular}{|l|l|l|l|l|}\n\\hline \\multicolumn{5}{|c|}{\\( 205 \\)} \\\\\n\\hline \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) \\\\\n\\hline\n\\end{tab... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![\\begin{tabular}{|l|l|l|l|l|}\n\\hline \\multicolumn{5}{|c|}{\\( 205 \\)} \\\\\n\\hline \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) \\\\\n\\hline\n\\end{tab... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Tom and Katie are discussing this bar model ![\\begin{tabular}{|l|l|l|l|l|}\n\\hline \\multicolumn{5}{|c|}{\\( 205 \\)} \\\\\n\\hline \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) & \\( 41 \\) \\\\\n\\hline\n\\end{tab... |
[
{
"from": "human",
"value": "Identify the outcomes of more than one event These are fair spinners\n\nHow many possible outcomes are there if they are spun together and both scores are recorded? ![Two spinners. One is a four-sided spinner with 4 equal sections labelled 1, 2, 3 and 4. One is a five-sided spin... |
[
{
"from": "human",
"value": "Identify the outcomes of more than one event These are fair spinners\n\nHow many possible outcomes are there if they are spun together and both scores are recorded? ![Two spinners. One is a four-sided spinner with 4 equal sections labelled 1, 2, 3 and 4. One is a five-sided spin... |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\( 5 \\frac{3}{5}-2 \\frac{1}{2}= \\) Leave your answer as a mixed number \\( \\frac{31}{10} \\)"
},
{
"from": "gpt",
"value": "Confused mixed numbers with improper fractions"
}
] |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\( 5 \\frac{3}{5}-2 \\frac{1}{2}= \\) Leave your answer as a mixed number \\( 3 \\frac{2}{3} \\)"
},
{
"from": "gpt",
"value": "When subtracting fractions, subtracts the numerators and d... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form What is the equation of this curve? ![A quadratic curve that passes through (-2,0) and (1,0) on the x-axis.]() \\( y=(x-2)(x+1) \\)"
},
{
"from": "gpt",
"value": "Forgets to swap the... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form What is the equation of this curve? ![A quadratic curve that passes through (-2,0) and (1,0) on the x-axis.]() \\( y=x^{2}-2 \\)"
},
{
"from": "gpt",
"value": "Believes both solution... |
[
{
"from": "human",
"value": "Identify common multiples of two numbers \"Common multiples of \\( 2 \\) and \\( 5 \\) are also multiples of \\( 25 \" \\)\nIs this statement... never true"
},
{
"from": "gpt",
"value": "Does not use the associative property of multiplication to find other factors of... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.