conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Understand the notation for powers To calculate \\( 47^{2} \\) you need to do... \\( 47 \\times 2 \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form upside down step structure. The base of the shape is horizon... |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form upside down step structure. The base of the shape is horizon... |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form upside down step structure. The base of the shape is horizon... |
[
{
"from": "human",
"value": "Given information about one part, work out other parts Kate and Isaac share some sweets in the ratio \\( 3: 2 \\)\n\nKate receives \\( 60 \\) sweets.\n\nHow many sweets does Isaac receive? \\( 20 \\)"
},
{
"from": "gpt",
"value": "Finds one part of a ratio but doesn'... |
[
{
"from": "human",
"value": "Given information about one part, work out other parts Kate and Isaac share some sweets in the ratio \\( 3: 2 \\)\n\nKate receives \\( 60 \\) sweets.\n\nHow many sweets does Isaac receive? \\( 24 \\)"
},
{
"from": "gpt",
"value": "In ratio question where one side of ... |
[
{
"from": "human",
"value": "Carry out, interpret and represent subtraction using the part-whole model \\[\n8+12 \\div 4 \\square(8+12) \\div 4\n\\]\nWhich symbol belongs in the box? \\( < \\)"
},
{
"from": "gpt",
"value": "Mixes up greater than and less than symbols"
}
] |
[
{
"from": "human",
"value": "Carry out, interpret and represent subtraction using the part-whole model \\[\n8+12 \\div 4 \\square(8+12) \\div 4\n\\]\nWhich symbol belongs in the box? \\( = \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
... |
[
{
"from": "human",
"value": "Carry out, interpret and represent subtraction using the part-whole model \\[\n8+12 \\div 4 \\square(8+12) \\div 4\n\\]\nWhich symbol belongs in the box? \\( \\geq \\)"
},
{
"from": "gpt",
"value": "Does not understand inequality notation"
}
] |
[
{
"from": "human",
"value": "Find missing angles in an isosceles triangle What is value of the shaded angle in this diagram? ![[not to scale]]() \\( 80^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Assumes an angle has been split into equal parts"
}
] |
[
{
"from": "human",
"value": "Find missing angles in an isosceles triangle What is value of the shaded angle in this diagram? ![[not to scale]]() \\( 140^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Assumes an angle has been split into equal parts"
}
] |
[
{
"from": "human",
"value": "Describe the meaning algebraic terms with powers Which of the following means the same as\n\\(a^{2} b\\) \\( 2 \\times a \\times b \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring and multiplying by 2 or doubling"
}
] |
[
{
"from": "human",
"value": "Describe the meaning algebraic terms with powers Which of the following means the same as\n\\(a^{2} b\\) \\( a \\times b \\times a \\times b \\)"
},
{
"from": "gpt",
"value": "When a variable in an expression has a power, thinks the power applies to the whole express... |
[
{
"from": "human",
"value": "Order fractions whose denominators are not multiples of the same number Which diagram represents the largest fraction? ![A rectangle divided horizontally into 3 smaller rectangles that are identical to each other in size and shape. The top rectangle, of the 3, is shaded orange,... |
[
{
"from": "human",
"value": "Order fractions whose denominators are not multiples of the same number Which diagram represents the largest fraction? ![A rectangle divided into a grid of 30 smaller rectangles (5 high by 6 wide) that are identical to each other in size and shape. 8 of these smaller rectangles... |
[
{
"from": "human",
"value": "Identify when rounding a calculation will give an over or under approximation Jo and Paul are discussing how to estimate the answer to\n\\[\n188.945 \\div 15.3382\n\\]\n\nJo says \\( 200 \\div 15.3382 \\) would give an overestimate.\n\nPaul says \\( 188.945 \\div 15 \\) would gi... |
[
{
"from": "human",
"value": "Identify when rounding a calculation will give an over or under approximation Jo and Paul are discussing how to estimate the answer to\n\\[\n188.945 \\div 15.3382\n\\]\n\nJo says \\( 200 \\div 15.3382 \\) would give an overestimate.\n\nPaul says \\( 188.945 \\div 15 \\) would gi... |
[
{
"from": "human",
"value": "Multiplication law of indices with positive integer powers and a different base number Tom and Katie are arguing about \\( 4^{2} \\times 2^{2} \\)\nTom says \\( 4^{2} \\times 2^{2}=64 \\)\nKatie says \\( 4^{2} \\times 2^{2}=8^{4} \\)\nWho is correct? Both Tom and Katie"
},
{... |
[
{
"from": "human",
"value": "Substitute into simple formulae given in words A quick way to change approximately from miles to kilometers is to divide the number of miles by \\( 3 \\) and then multiply by \\( 5 \\).\nUsing this method, how many kilometres are equal to \\( 15 \\) miles? \\( 17 \\)"
},
{
... |
[
{
"from": "human",
"value": "Substitute into simple formulae given in words A quick way to change approximately from miles to kilometers is to divide the number of miles by \\( 3 \\) and then multiply by \\( 5 \\).\nUsing this method, how many kilometres are equal to \\( 15 \\) miles? \\( 15 \\)"
},
{
... |
[
{
"from": "human",
"value": "Order numbers in standard form that are between 0 and 1 Tom and Katie are discussing standard form.\n\nTom says \\( 9.3 \\times 10^{5}>2.3 \\times 10^{6} \\)\n\nKatie says \\( 9.3 \\times 10^{-5}>2.3 \\times 10^{-6} \\)\n\nWho is correct? Both Tom and Katie"
},
{
"from"... |
[
{
"from": "human",
"value": "Find missing angles in an isosceles triangle This is an isosceles triangle.\nCalculate the size of angle \\( p \\). ![An isosceles triangle with one angle labelled 56 degrees and one angle labelled p [not to scale]]() \\( 56^{\\circ} \\)"
},
{
"from": "gpt",
"value":... |
[
{
"from": "human",
"value": "Find missing angles in an isosceles triangle This is an isosceles triangle.\nCalculate the size of angle \\( p \\). ![An isosceles triangle with one angle labelled 56 degrees and one angle labelled p [not to scale]]() \\( 68^{\\circ} \\)"
},
{
"from": "gpt",
"value":... |
[
{
"from": "human",
"value": "Find missing angles in an isosceles triangle This is an isosceles triangle.\nCalculate the size of angle \\( p \\). ![An isosceles triangle with one angle labelled 56 degrees and one angle labelled p [not to scale]]() \\( 124^{\\circ} \\)"
},
{
"from": "gpt",
"value"... |
[
{
"from": "human",
"value": "Convert between l and cm³ Complete this statement:\n\\( 5 \\) litres \\( = \\) ________\\( \\mathrm{cm}^{3} \\) \\( 5 \\)"
},
{
"from": "gpt",
"value": "Thinks 1l = 1 cubic centimetre"
}
] |
[
{
"from": "human",
"value": "Convert between l and cm³ Complete this statement:\n\\( 5 \\) litres \\( = \\) ________\\( \\mathrm{cm}^{3} \\) \\( 500 \\)"
},
{
"from": "gpt",
"value": "Thinks 1l = 100 cubic centimetres"
}
] |
[
{
"from": "human",
"value": "Convert between l and cm³ Complete this statement:\n\\( 5 \\) litres \\( = \\) ________\\( \\mathrm{cm}^{3} \\) \\( 50 \\)"
},
{
"from": "gpt",
"value": "Thinks 1l = 10 cubic centimetres"
}
] |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie want to share £2 between \\( 4 \\) people.\nTom says you would calculate the amount each person gets by doing \\( 4 \\div 2 \\)\nKatie says you would calculate the amount each person gets by doing \\( 2 \\div 4 \\)\nWho ... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie want to share £2 between \\( 4 \\) people.\nTom says you would calculate the amount each person gets by doing \\( 4 \\div 2 \\)\nKatie says you would calculate the amount each person gets by doing \\( 2 \\div 4 \\)\nWho ... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is the area of the shaded section of this composite shape made from rectangles? ![A composite shape that makes a backwards \"L\" shape from 2 rectangles. The base of... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is the area of the shaded section of this composite shape made from rectangles? ![A composite shape that makes a backwards \"L\" shape from 2 rectangles. The base of... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is the area of the shaded section of this composite shape made from rectangles? ![A composite shape that makes a backwards \"L\" shape from 2 rectangles. The base of... |
[
{
"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 Which is the correct point for \\( \\mathrm{E} \\) when reflected in the line \\( x=0 \\) ? ![A 4 quadrant, coord... |
[
{
"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 Which is the correct point for \\( \\mathrm{E} \\) when reflected in the line \\( x=0 \\) ? ![A 4 quadrant, coord... |
[
{
"from": "human",
"value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says rectangle\nKatie says rhombus\nWho do you agree with? Only\nTom"
},
{
"from": "gpt",
"value": "Believes a rectang... |
[
{
"from": "human",
"value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says rectangle\nKatie says rhombus\nWho do you agree with? Both Tom and Katie"
},
{
"from": "gpt",
"value": "Believes ... |
[
{
"from": "human",
"value": "Identify a rhombus from a description of the properties Tom and Katie have been asked to give the name of a quadrilateral with four equal sides\nTom says rectangle\nKatie says rhombus\nWho do you agree with? Neither is correct"
},
{
"from": "gpt",
"value": "Believes ... |
[
{
"from": "human",
"value": "Identify congruence in shapes other than triangles Tom and Katie are discussing congruent shapes Tom says these two shapes are congruent ![Two identical 6-sided \"L shape\" polygons. One of the polygons has been rotated through 90 degrees.]() Katie says these two shapes are cong... |
[
{
"from": "human",
"value": "Identify congruence in shapes other than triangles Tom and Katie are discussing congruent shapes Tom says these two shapes are congruent ![Two identical 6-sided \"L shape\" polygons. One of the polygons has been rotated through 90 degrees.]() Katie says these two shapes are cong... |
[
{
"from": "human",
"value": "Identify congruence in shapes other than triangles Tom and Katie are discussing congruent shapes Tom says these two shapes are congruent ![Two identical 6-sided \"L shape\" polygons. One of the polygons has been rotated through 90 degrees.]() Katie says these two shapes are cong... |
[
{
"from": "human",
"value": "Identify a unit of length Sally has answered a question on perimeter and worked out an answer of \\( 120 \\).\n\nBehind the star she has written the units that she used.\n\nWhich of the following units is definitely wrong? \\( 120 \\color{yellow}\\bigstar \\) \\( m \\)"
},
{... |
[
{
"from": "human",
"value": "Identify a unit of length Sally has answered a question on perimeter and worked out an answer of \\( 120 \\).\n\nBehind the star she has written the units that she used.\n\nWhich of the following units is definitely wrong? \\( 120 \\color{yellow}\\bigstar \\) \\( \\mathrm{km} \\... |
[
{
"from": "human",
"value": "Identify a unit of length Sally has answered a question on perimeter and worked out an answer of \\( 120 \\).\n\nBehind the star she has written the units that she used.\n\nWhich of the following units is definitely wrong? \\( 120 \\color{yellow}\\bigstar \\) \\( 11 \\)"
},
... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(20 t-5=0\\) \\( t=4 \\)"
},
{
"from": "gpt",
"value": "Swaps the dividend and divisor in order to get an integer answer"
}
] |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, involving positive fractions Solve the equation:\n\\(20 t-5=0\\) \\( t=-\\frac{1}{4} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than the inverse."
}
] |
[
{
"from": "human",
"value": "Complete multi-step mental calculations What is the value of:\n\\(\n\\frac{54+58}{2}\n\\) \\( 224 \\)"
},
{
"from": "gpt",
"value": "Multiplies rather than divides"
}
] |
[
{
"from": "human",
"value": "Complete multi-step mental calculations What is the value of:\n\\(\n\\frac{54+58}{2}\n\\) \\( 85 \\)"
},
{
"from": "gpt",
"value": "Does not interpret the correct order of operations in a fraction when there is an addition on the numerator"
}
] |
[
{
"from": "human",
"value": "Calculate the midpoint between two coordinates in 2D, where all the values are integers but at least one is negative Cara is trying to work out the midpoint of these two points: \\( (-5,7) \\) and \\( (-2,-1) \\) She labels them like this: \\( \\left.\\begin{array}{cccc}x_{1} & ... |
[
{
"from": "human",
"value": "Calculate the midpoint between two coordinates in 2D, where all the values are integers but at least one is negative Cara is trying to work out the midpoint of these two points: \\( (-5,7) \\) and \\( (-2,-1) \\) She labels them like this: \\( \\left.\\begin{array}{cccc}x_{1} & ... |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line What is the size of angle \\( q \\) ? ![Two angles on a straight line, one is labelled 62 degrees and the other is q]() \\( 62^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Student thinks that any two angles along a s... |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line What is the size of angle \\( q \\) ? ![Two angles on a straight line, one is labelled 62 degrees and the other is q]() \\( 128^{\\circ} \\)"
},
{
"from": "gpt",
"value": "When “borrowing” during a subtraction probl... |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line What is the size of angle \\( q \\) ? ![Two angles on a straight line, one is labelled 62 degrees and the other is q]() \\( 298^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes angles on a straight line add to 3... |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line Adjacent angles on a straight line sum to... \\( 90^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes angles on a straight line add to 90 degrees"
}
] |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line Adjacent angles on a straight line sum to... \\( 100^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes angles on a straight line add to 100 degrees"
}
] |
[
{
"from": "human",
"value": "Find missing angles using angles on a straight line Adjacent angles on a straight line sum to... \\( 360^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes angles on a straight line add to 360 degrees"
}
] |
[
{
"from": "human",
"value": "Solve length problems involving similar shapes where the missing length is the longer one The shape below has a perimeter of \\( p \\). If the length of all the sides are doubled, what is the perimeter of the enlarged shape? ![A trapezium]() \\( p+2 \\)"
},
{
"from": "gp... |
[
{
"from": "human",
"value": "Solve length problems involving similar shapes where the missing length is the longer one The shape below has a perimeter of \\( p \\). If the length of all the sides are doubled, what is the perimeter of the enlarged shape? ![A trapezium]() Not enough information"
},
{
... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-9\n\\) \\( (p-3)(p-3) \\)"
},
{
"from": "gpt",
"value": "Factorises difference of two squares with the same sign in both brackets"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-9\n\\) \\( p(p-9) \\)"
},
{
"from": "gpt",
"value": "Believes only the first term needs to be divided when factorising an expression"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-9\n\\) Does not factorise"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"from": "human",
"value": "Divide a decimal by an integer What is the mean of the following numbers?\n\\[\n2, \\quad 0.2, \\quad 0.02\n\\] \\( 0.2 \\)"
},
{
"from": "gpt",
"value": "Finds the median instead of the mean"
}
] |
[
{
"from": "human",
"value": "Substitute numbers into a SUVAT equation to work out distance \\( s=u t+\\frac{1}{2} a t^{2} \\) What is the value of \\( s \\) when\na=6 \nu=3 \nt=4\n \\( 156 \\)"
},
{
"from": "gpt",
"value": "When a variable in an expression has a power, thinks the power applies t... |
[
{
"from": "human",
"value": "Substitute numbers into a SUVAT equation to work out distance \\( s=u t+\\frac{1}{2} a t^{2} \\) What is the value of \\( s \\) when\na=6 \nu=3 \nt=4\n \\( 576 \\)"
},
{
"from": "gpt",
"value": "When a variable in an expression has a power, thinks the power applies t... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression ![A function machine with 4 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 next rectangle has \"−... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression ![A function machine with 4 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 next rectangle has \"−... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression ![A function machine with 4 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 next rectangle has \"−... |
[
{
"from": "human",
"value": "Determine if a given point lies on a line Jo and Paul are arguing about points on the line\n\\(4 x-5 y=20\\)\n\nJo says \\( (10,-4) \\) lies on the line \\( \\mathbf{4 x}-\\mathbf{5 y}=\\mathbf{2 0} \\)\n\nPaul says \\( (-4,10) \\) lies on the line \\( \\mathbf{4} \\boldsymbol{x... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal 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 \\( \\mathrm{P} \\) ? ![A coordinate grid wi... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal 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 \\( \\mathrm{P} \\) ? ![A coordinate grid wi... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal 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 \\( \\mathrm{P} \\) ? ![A coordinate grid wi... |
[
{
"from": "human",
"value": "Construct a triangle using Side-Angle-Side Which combination of mathematical instruments has been used to construct this triangle? ![A triangle construction with one angle and two sides labelled ]() Protractor \nCompass"
},
{
"from": "gpt",
"value": "Forgets you need... |
[
{
"from": "human",
"value": "Construct a triangle using Side-Angle-Side Which combination of mathematical instruments has been used to construct this triangle? ![A triangle construction with one angle and two sides labelled ]() Ruler \nCompass"
},
{
"from": "gpt",
"value": "Forgets you need a pr... |
[
{
"from": "human",
"value": "Construct a triangle using Side-Angle-Side Which combination of mathematical instruments has been used to construct this triangle? ![A triangle construction with one angle and two sides labelled ]() Ruler \nProtractor"
},
{
"from": "gpt",
"value": "Forgets you need a... |
[
{
"from": "human",
"value": "Solve problems that combine addition or subtraction with multiplication Every week for \\( 4 \\) weeks, Cara buys a magazine for \\( £ 6 \\) and gets her nails painted for \\( £ 28 \\).\n\nHow much money does Cara spend altogether? \\( £ 34 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Solve problems that combine addition or subtraction with multiplication Every week for \\( 4 \\) weeks, Cara buys a magazine for \\( £ 6 \\) and gets her nails painted for \\( £ 28 \\).\n\nHow much money does Cara spend altogether? \\( £ 52 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Solve problems that combine addition or subtraction with multiplication Every week for \\( 4 \\) weeks, Cara buys a magazine for \\( £ 6 \\) and gets her nails painted for \\( £ 28 \\).\n\nHow much money does Cara spend altogether? \\( £ 118 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Calculate the cube root of a number \\( \\sqrt[3]{125}= \\) \\( \\frac{125}{3} \\)"
},
{
"from": "gpt",
"value": "Divides by the order of the root"
}
] |
[
{
"from": "human",
"value": "Calculate the cube root of a number \\( \\sqrt[3]{125}= \\) \\( 375 \\)"
},
{
"from": "gpt",
"value": "Has multiplied by the root power"
}
] |
[
{
"from": "human",
"value": "Identify corresponding angles \\( \\mathrm{M} \\) and \\( \\mathrm{N} \\) are the intersections of the line \\( X Y \\) with the lines \\( P Q \\) and RS.\nWhich angle is corresponding to angle MNS? ![A pair of parallel lines pointing up to the left. PQ and RS are the ends of th... |
[
{
"from": "human",
"value": "Identify corresponding angles \\( \\mathrm{M} \\) and \\( \\mathrm{N} \\) are the intersections of the line \\( X Y \\) with the lines \\( P Q \\) and RS.\nWhich angle is corresponding to angle MNS? ![A pair of parallel lines pointing up to the left. PQ and RS are the ends of th... |
[
{
"from": "human",
"value": "Identify corresponding angles \\( \\mathrm{M} \\) and \\( \\mathrm{N} \\) are the intersections of the line \\( X Y \\) with the lines \\( P Q \\) and RS.\nWhich angle is corresponding to angle MNS? ![A pair of parallel lines pointing up to the left. PQ and RS are the ends of th... |
[
{
"from": "human",
"value": "Convert between cl and l \\[\n30 \\text { centilitres }=\\bigstar \\text { litres }\n\\]\nWhat should replace the star? \\( 3000 \\)"
},
{
"from": "gpt",
"value": "Multiplies when converting to a larger unit"
}
] |
[
{
"from": "human",
"value": "Convert between cl and l \\[\n30 \\text { centilitres }=\\bigstar \\text { litres }\n\\]\nWhat should replace the star? \\( 3 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 10cl in a litre"
}
] |
[
{
"from": "human",
"value": "Convert between cl and l \\[\n30 \\text { centilitres }=\\bigstar \\text { litres }\n\\]\nWhat should replace the star? \\( 0.03 \\)"
},
{
"from": "gpt",
"value": "Confuses cl and ml"
}
] |
[
{
"from": "human",
"value": "Recognise whether you need to add or subtract linear equations in order to eliminate a variable What do you need to do to eliminate the \\( q s \\) in each of these pairs of simultaneous equations?\n Pair \\( 1 \\)\n\\(\n\\begin{array}{l}\n5 p+2 q=12 \\\\\n3 p+2 q=8\n\\end{array... |
[
{
"from": "human",
"value": "Recognise whether you need to add or subtract linear equations in order to eliminate a variable What do you need to do to eliminate the \\( q s \\) in each of these pairs of simultaneous equations?\n Pair \\( 1 \\)\n\\(\n\\begin{array}{l}\n5 p+2 q=12 \\\\\n3 p+2 q=8\n\\end{array... |
[
{
"from": "human",
"value": "Recognise whether you need to add or subtract linear equations in order to eliminate a variable What do you need to do to eliminate the \\( q s \\) in each of these pairs of simultaneous equations?\n Pair \\( 1 \\)\n\\(\n\\begin{array}{l}\n5 p+2 q=12 \\\\\n3 p+2 q=8\n\\end{array... |
[
{
"from": "human",
"value": "Read values off a displacement-time graph How far away from home was Rachel at 10:15? ![A line graph with title \"A graph to show the distance Rachel travels from her home on her daily run.\" \nThe x-axis is titled \"Time\" and is labelled with times from 0800 to 1300 in steps o... |
[
{
"from": "human",
"value": "Read values off a displacement-time graph How far away from home was Rachel at 10:15? ![A line graph with title \"A graph to show the distance Rachel travels from her home on her daily run.\" \nThe x-axis is titled \"Time\" and is labelled with times from 0800 to 1300 in steps o... |
[
{
"from": "human",
"value": "Read values off a displacement-time graph How far away from home was Rachel at 10:15? ![A line graph with title \"A graph to show the distance Rachel travels from her home on her daily run.\" \nThe x-axis is titled \"Time\" and is labelled with times from 0800 to 1300 in steps o... |
[
{
"from": "human",
"value": "Given a situation sketch an appropriate real life graph Johan wants to plot a graph to show the distance a ball travels over time.\n\nAfter \\( 2 \\) seconds the ball has travelled \\( 3 \\) metres.\n\nWhere on the graph should Johan plot this? ![A graph with time (sec) on the h... |
[
{
"from": "human",
"value": "Given a situation sketch an appropriate real life graph Johan wants to plot a graph to show the distance a ball travels over time.\n\nAfter \\( 2 \\) seconds the ball has travelled \\( 3 \\) metres.\n\nWhere on the graph should Johan plot this? ![A graph with time (sec) on the h... |
[
{
"from": "human",
"value": "Given a situation sketch an appropriate real life graph Johan wants to plot a graph to show the distance a ball travels over time.\n\nAfter \\( 2 \\) seconds the ball has travelled \\( 3 \\) metres.\n\nWhere on the graph should Johan plot this? ![A graph with time (sec) on the h... |
[
{
"from": "human",
"value": "Calculate the volume of a cube What is the volume of this cube? ![A cube with one side labelled 5 cm.]() \\( 120 \\mathrm{~cm}^{3} \\)"
},
{
"from": "gpt",
"value": "Calculates perimeter when asked for area"
}
] |
[
{
"from": "human",
"value": "Calculate the volume of a cube What is the volume of this cube? ![A cube with one side labelled 5 cm.]() \\( 100 \\mathrm{~cm}^{3} \\)"
},
{
"from": "gpt",
"value": "Does not recognise that all lengths on a cube are equal"
}
] |
[
{
"from": "human",
"value": "Calculate the volume of a cube What is the volume of this cube? ![A cube with one side labelled 5 cm.]() \\( 150 \\mathrm{~cm}^{3} \\)"
},
{
"from": "gpt",
"value": "Finds surface area when asked for volume"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate:\n\\(\n\\frac{1}{9} \\times \\frac{1}{5}\n\\) \\( \\frac{2}{14} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, adds the numerators and the denominators"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate:\n\\(\n\\frac{1}{9} \\times \\frac{1}{5}\n\\) \\( \\frac{5}{9} \\)"
},
{
"from": "gpt",
"value": "when multiplying fractions multiplies by the reciprocal of the 2nd fraction instead"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate:\n\\(\n\\frac{1}{9} \\times \\frac{1}{5}\n\\) \\( \\frac{1}{14} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, multiplies the numerator and adds the denominator"
}
] |
[
{
"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 has \"input\" written above it and \"30\" written inside it. The middle rectangle has \"squared\" written inside it and... |
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