conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Solve quadratic equations using factorisation in the form (x + a)(x + b) This is the final stage of Beth's solution to a quadratic equation.\nWhat should replace the star?\n\n\\[\n(h-8)(h+3)=0\n\\] \\( h=\\bigstar \\) or \\( h=-3 \\) \\( 0 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle with the angle labelled 32 degrees, the side adjacent to this is 6cm and the side opposite... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle with the angle labelled 32 degrees, the side adjacent to this is 6cm and the side opposite... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle with the angle labelled 32 degrees, the side adjacent to this is 6cm and the side opposite... |
[
{
"from": "human",
"value": "Add algebraic fractions where the denominators are single terms and are not multiples of each other Express the following as a single fraction, writing your answer as simply as possible: \\( \\frac{t}{s}+\\frac{2 s}{t} \\) \\( \\frac{t^{2}+4 s^{2}}{s t} \\)"
},
{
"from":... |
[
{
"from": "human",
"value": "Add algebraic fractions where the denominators are single terms and are not multiples of each other Express the following as a single fraction, writing your answer as simply as possible: \\( \\frac{t}{s}+\\frac{2 s}{t} \\) \\( \\frac{t+2 s}{s+t} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Add algebraic fractions where the denominators are single terms and are not multiples of each other Express the following as a single fraction, writing your answer as simply as possible: \\( \\frac{t}{s}+\\frac{2 s}{t} \\) \\( \\frac{2 s t}{s+t} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Isaac is trying to solve the equation below.\n\nHere are his steps.\n\nWhich steps, if any, are correct? ![An equation 15 = 2p - 4 on the first line. \nOn the second line, Step 1 : 11 = 2... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Isaac is trying to solve the equation below.\n\nHere are his steps.\n\nWhich steps, if any, are correct? ![An equation 15 = 2p - 4 on the first line. \nOn the second line, Step 1 : 11 = 2... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Isaac is trying to solve the equation below.\n\nHere are his steps.\n\nWhich steps, if any, are correct? ![An equation 15 = 2p - 4 on the first line. \nOn the second line, Step 1 : 11 = 2... |
[
{
"from": "human",
"value": "Calculate the area of an isosceles triangle where the dimensions are given in the same units Which of the following calculations would give the area of this triangle? ![A triangle with the base labelled with 40cm, the perpendicular height 15cm and the slant height labelled with ... |
[
{
"from": "human",
"value": "Calculate the area of an isosceles triangle where the dimensions are given in the same units Which of the following calculations would give the area of this triangle? ![A triangle with the base labelled with 40cm, the perpendicular height 15cm and the slant height labelled with ... |
[
{
"from": "human",
"value": "Calculate the area of an isosceles triangle where the dimensions are given in the same units Which of the following calculations would give the area of this triangle? ![A triangle with the base labelled with 40cm, the perpendicular height 15cm and the slant height labelled with ... |
[
{
"from": "human",
"value": "Describe a translation using vector notation where at least one value is negative Which vector correctly describes the translation that maps object \\( Q \\) onto object \\(P \\)? ![The image shows a set of axes and two congruent trapezia P and Q. Trapezium P has vertices at (1,... |
[
{
"from": "human",
"value": "Describe a translation using vector notation where at least one value is negative Which vector correctly describes the translation that maps object \\( Q \\) onto object \\(P \\)? ![The image shows a set of axes and two congruent trapezia P and Q. Trapezium P has vertices at (1,... |
[
{
"from": "human",
"value": "Work out the equation of a line when given a positive gradient and a point on the line A line has a gradient of \\( 2 \\) and passes through the point \\( (1,1) \\) \nThe equation of this line could be... \\( y=2 x+1 \\)"
},
{
"from": "gpt",
"value": "Believes c, in... |
[
{
"from": "human",
"value": "Add amounts of money together to make a total between £1 and £10 Sunita wants to buy a sandwich and a tea.\n\nHow much money will she need? Joe's Café\nSandwich \\( £3.25 \\)\nPasty \\( £ 2.99 \\)\nCake \\( £ 2.25 \\)\nSoup \\( £ 3.19 \\)\nTea \\( £ 1.55 \\)\nCoffee \\( £ 1.95 \... |
[
{
"from": "human",
"value": "Add amounts of money together to make a total between £1 and £10 Sunita wants to buy a sandwich and a tea.\n\nHow much money will she need? Joe's Café\nSandwich \\( £3.25 \\)\nPasty \\( £ 2.99 \\)\nCake \\( £ 2.25 \\)\nSoup \\( £ 3.19 \\)\nTea \\( £ 1.55 \\)\nCoffee \\( £ 1.95 \... |
[
{
"from": "human",
"value": "Work out the size of each interior angle in a regular polygon The octagon below is regular. Find angle \\( x \\). ![A regular octagon (8 sided polygon). Each side is marked with a single dash to show that all sides are equal in length. One of the interior angles of the octagon i... |
[
{
"from": "human",
"value": "Work out the size of each interior angle in a regular polygon The octagon below is regular. Find angle \\( x \\). ![A regular octagon (8 sided polygon). Each side is marked with a single dash to show that all sides are equal in length. One of the interior angles of the octagon i... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a non-linear expression by taking out a common factor involving numeric and algebraic components (e.g. 5a) When this expression is fully factorised, what is left inside the brackets? \\( 24 a b c^{2}-16 b^{2} c \\equiv 8 b c(\\square) \\) \\... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a non-linear expression by taking out a common factor involving numeric and algebraic components (e.g. 5a) When this expression is fully factorised, what is left inside the brackets? \\( 24 a b c^{2}-16 b^{2} c \\equiv 8 b c(\\square) \\) \\... |
[
{
"from": "human",
"value": "Add decimals where the numbers involved have a different number of decimal places \\( 0.15+0.2= \\) \\( 0.17 \\)"
},
{
"from": "gpt",
"value": "When adding decimals with a different number of decimal places, lines up the digits incorrectly"
}
] |
[
{
"from": "human",
"value": "Add decimals where the numbers involved have a different number of decimal places \\( 0.15+0.2= \\) \\( 0.152 \\)"
},
{
"from": "gpt",
"value": "When adding decimals with a different number of decimal places, lines up the digits incorrectly"
}
] |
[
{
"from": "human",
"value": "Identify triangular numbers ![\\begin{tabular}{|lll|}\n\\hline\\( \\bullet \\) & \\( 8 \\) & \\( 8 \\) \\\\\n\\hline\n\\end{tabular}]() How many circles will the next term in this sequence have? \\( 8 \\)"
},
{
"from": "gpt",
"value": "Uses only the first two terms o... |
[
{
"from": "human",
"value": "Identify triangular numbers ![\\begin{tabular}{|lll|}\n\\hline\\( \\bullet \\) & \\( 8 \\) & \\( 8 \\) \\\\\n\\hline\n\\end{tabular}]() How many circles will the next term in this sequence have? \\( 9 \\)"
},
{
"from": "gpt",
"value": "Does not notice all changes in ... |
[
{
"from": "human",
"value": "Identify triangular numbers ![\\begin{tabular}{|lll|}\n\\hline\\( \\bullet \\) & \\( 8 \\) & \\( 8 \\) \\\\\n\\hline\n\\end{tabular}]() How many circles will the next term in this sequence have? \\( 12 \\)"
},
{
"from": "gpt",
"value": "Only looks at the difference b... |
[
{
"from": "human",
"value": "Convert from minutes to hours \\( 5 \\) hours \\( +500 \\) minutes \\( = \\) \\( 10 \\) hours"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes"
}
] |
[
{
"from": "human",
"value": "Convert from minutes to hours \\( 5 \\) hours \\( +500 \\) minutes \\( = \\) \\( 13 \\) hours and \\( 33 \\) minutes"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes"
}
] |
[
{
"from": "human",
"value": "Express a linear equation as a function machine Which function matches the equation\n\\[\ny=5(x+1) ?\n\\] ![A function machine which has 4 parts joined by arrows pointing from left to right. \"𝑥\" is the first part, written on the left, followed by a horizontal arrow pointing t... |
[
{
"from": "human",
"value": "Express a linear equation as a function machine Which function matches the equation\n\\[\ny=5(x+1) ?\n\\] ![A function machine which has 4 parts joined by arrows pointing from left to right. \"y\" is the first part, written on the left, followed by a horizontal arrow pointing to... |
[
{
"from": "human",
"value": "Identify pairs of numbers that satisfy an equation with two unknowns \\( x+y=20 \\) Which pair of numbers fits the equation? \\( \\begin{array}{c}x=10 \\\\ y=2\\end{array} \\)"
},
{
"from": "gpt",
"value": "Changes the given operation when substituting"
}
] |
[
{
"from": "human",
"value": "Identify pairs of numbers that satisfy an equation with two unknowns \\( x+y=20 \\) Which pair of numbers fits the equation? \\( \\begin{array}{l}x=10 \\\\ y=-2\\end{array} \\)"
},
{
"from": "gpt",
"value": "substitutes incorrectly"
}
] |
[
{
"from": "human",
"value": "Identify pairs of numbers that satisfy an equation with two unknowns \\( x+y=20 \\) Which pair of numbers fits the equation? \\( \\begin{array}{l}x=-8 \\\\ y=12\\end{array} \\)"
},
{
"from": "gpt",
"value": "substitutes incorrectly"
}
] |
[
{
"from": "human",
"value": "Add fractions involving mixed number fractions with different denominators \\( 2 \\frac{7}{10}+2 \\frac{1}{4}= \\) Leave your answer as a mixed number \\( \\frac{99}{20} \\)"
},
{
"from": "gpt",
"value": "Confused mixed numbers with improper fractions"
}
] |
[
{
"from": "human",
"value": "Add fractions involving mixed number fractions with different denominators \\( 2 \\frac{7}{10}+2 \\frac{1}{4}= \\) Leave your answer as a mixed number \\( \\frac{99}{40} \\)"
},
{
"from": "gpt",
"value": "When adding fractions, adds the numerators and denominators"
... |
[
{
"from": "human",
"value": "Add fractions involving mixed number fractions with different denominators \\( 2 \\frac{7}{10}+2 \\frac{1}{4}= \\) Leave your answer as a mixed number \\( 4 \\frac{8}{14} \\)"
},
{
"from": "gpt",
"value": "Does not find a common denominator when adding/subtracting fr... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph How many months have an average temperature below 25⁰C ? ![A line graph with title \"Monthly Average temperatures for Zakynthos, Greece. (⁰C)\". \nThe x-axis is labelled with the first letter of every month of the year and is titled \... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph How many months have an average temperature below 25⁰C ? ![A line graph with title \"Monthly Average temperatures for Zakynthos, Greece. (⁰C)\". \nThe x-axis is labelled with the first letter of every month of the year and is titled \... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph How many months have an average temperature below 25⁰C ? ![A line graph with title \"Monthly Average temperatures for Zakynthos, Greece. (⁰C)\". \nThe x-axis is labelled with the first letter of every month of the year and is titled \... |
[
{
"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 with various triangles attached to it. The marked angle is between the lines CE and EG.]() \\( E \\)"
},
{
"from": "gpt",... |
[
{
"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 with various triangles attached to it. The marked angle is between the lines CE and EG.]() FEC"
},
{
"from": "gpt",
"... |
[
{
"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 with various triangles attached to it. The marked angle is between the lines CE and EG.]() CGE"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Which multiplication will help factorise \\( x^{2}+13 x+30 \\) ? \\( 1 \\times 30 \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to ... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Which multiplication will help factorise \\( x^{2}+13 x+30 \\) ? \\( 2 \\times 15 \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to ... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Which multiplication will help factorise \\( x^{2}+13 x+30 \\) ? \\( 5 \\times 6 \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to g... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number Which option shows the fractions in order from smallest to largest? \\( \\begin{array}{llll}\\frac{3}{4} & \\frac{1}{2} & \\frac{2}{6} & \\frac{1}{12}\\end{array} \\)"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number Which option shows the fractions in order from smallest to largest? \\( \\begin{array}{llll}\\frac{1}{2} & \\frac{3}{4} & \\frac{2}{6} & \\frac{1}{12}\\end{array} \\)"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "Order fractions whose denominators are multiples of the same number Which option shows the fractions in order from smallest to largest? \\( \\begin{array}{llll}\\frac{1}{2} & \\frac{1}{12} & \\frac{2}{6} & \\frac{3}{4}\\end{array} \\)"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "Calculate the median as an average from an odd numbered list of data What is the median of the following numbers?\n\\[\n3,5,6,18,18\n\\] \\( 10 \\)"
},
{
"from": "gpt",
"value": "Finds the mean instead of the median"
}
] |
[
{
"from": "human",
"value": "Calculate the median as an average from an odd numbered list of data What is the median of the following numbers?\n\\[\n3,5,6,18,18\n\\] \\( 12 \\)"
},
{
"from": "gpt",
"value": "When finding the median for an odd numbered data set, find the midpoint of two values ra... |
[
{
"from": "human",
"value": "Calculate the median as an average from an odd numbered list of data What is the median of the following numbers?\n\\[\n3,5,6,18,18\n\\] \\( 18 \\)"
},
{
"from": "gpt",
"value": "Finds the mode instead of the median"
}
] |
[
{
"from": "human",
"value": "Identify multiples of a number If you list the multiples of \\( 15 \\) in ascending order, what is the \\( 5^{\\text {th }} \\) number in the list? \\( 90 \\)"
},
{
"from": "gpt",
"value": "Believes the first multiple of a is 2a"
}
] |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((0,3),(4,-1),(2,-3),\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (0,1) \\)"
},
{
"from": "gpt",
"value": "Believes the sides of a rec... |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((0,3),(4,-1),(2,-3),\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (4,1) \\)"
},
{
"from": "gpt",
"value": "Believes the sides of a rec... |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((0,3),(4,-1),(2,-3),\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-2,-3) \\)"
},
{
"from": "gpt",
"value": "Believes the sides of a r... |
[
{
"from": "human",
"value": "Multiply algebraic fractions where the numerators and denominators are all single terms Write this as a single fraction as simply as possible:\n\n\\(\n\\frac{5}{x} \\times \\frac{2 y}{x^{2}}\n\\) \\( \\frac{5 x+10 y}{x^{2}} \\)"
},
{
"from": "gpt",
"value": "When ask... |
[
{
"from": "human",
"value": "Multiply algebraic fractions where the numerators and denominators are all single terms Write this as a single fraction as simply as possible:\n\n\\(\n\\frac{5}{x} \\times \\frac{2 y}{x^{2}}\n\\) \\( \\frac{10 y}{3 x} \\)"
},
{
"from": "gpt",
"value": "Believes cubin... |
[
{
"from": "human",
"value": "Subtract two equations together to remove a variable Isaac is trying to solve the pair of simultaneous equations on the right.\n\n\\[\n6 g+h=12\n\\]\n\\[\n6 g-3 h=-3\n\\]\n\nHe decides to subtract the bottom equation from the top equation.\nWhat will he end up with? \\( -2 h=9 ... |
[
{
"from": "human",
"value": "Subtract two equations together to remove a variable Isaac is trying to solve the pair of simultaneous equations on the right.\n\n\\[\n6 g+h=12\n\\]\n\\[\n6 g-3 h=-3\n\\]\n\nHe decides to subtract the bottom equation from the top equation.\nWhat will he end up with? \\( -2 h=15... |
[
{
"from": "human",
"value": "Subtract two equations together to remove a variable Isaac is trying to solve the pair of simultaneous equations on the right.\n\n\\[\n6 g+h=12\n\\]\n\\[\n6 g-3 h=-3\n\\]\n\nHe decides to subtract the bottom equation from the top equation.\nWhat will he end up with? \\( 4 h=9 \... |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\( 3 \\frac{4}{7}-1 \\frac{3}{4}= \\) Leave your answer as a mixed number \\( 2 \\frac{5}{28} \\)"
},
{
"from": "gpt",
"value": "Ignores the negative sign"
}
] |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with different denominators \\( 3 \\frac{4}{7}-1 \\frac{3}{4}= \\) Leave your answer as a mixed number \\( \\frac{51}{28} \\)"
},
{
"from": "gpt",
"value": "Confused mixed numbers with improper fractions"
}
] |
[
{
"from": "human",
"value": "Compare the lengths of diagonal line segments without calculating the exact length Tom and Katie are arguing about distance and coordinates. \n\nTom says \\( (3,-2) \\) and \\( (2,-3) \\) are equidistant from the origin. \nKatie says \\( (4,1) \\) and \\( (7,-2) \\) are equidist... |
[
{
"from": "human",
"value": "Compare the lengths of diagonal line segments without calculating the exact length Tom and Katie are arguing about distance and coordinates. \n\nTom says \\( (3,-2) \\) and \\( (2,-3) \\) are equidistant from the origin. \nKatie says \\( (4,1) \\) and \\( (7,-2) \\) are equidist... |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation Without working out the exact answer, use estimation to decide which of the following answer is the most likely to be correct \\( 505 \\div 198 \\) \\( 2.243 \\ldots \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation Without working out the exact answer, use estimation to decide which of the following answer is the most likely to be correct \\( 505 \\div 198 \\) \\( 5.136 \\ldots \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation Without working out the exact answer, use estimation to decide which of the following answer is the most likely to be correct \\( 505 \\div 198 \\) \\( 3.1101 \\ldots \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given the area of a square, calculate a missing dimension A shape is made up a square and regular pentagon.\nThe area of the square is \\( 196 \\mathrm{~cm}^{2} \\).\n\nWhat is the perimeter of the compound shape? ![A regular pentagon with a square joined along one edge]() \\( 3... |
[
{
"from": "human",
"value": "Given the area of a square, calculate a missing dimension A shape is made up a square and regular pentagon.\nThe area of the square is \\( 196 \\mathrm{~cm}^{2} \\).\n\nWhat is the perimeter of the compound shape? ![A regular pentagon with a square joined along one edge]() \\( 1... |
[
{
"from": "human",
"value": "Given the perimeter, work out a missing length requiring knowledge of the geometrical properties of the shape A regular octagon has a total perimeter of \\( 12 \\mathrm{~cm} \\).\nWhat is the length of each of its sides? \\( 4 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Given the perimeter, work out a missing length requiring knowledge of the geometrical properties of the shape A regular octagon has a total perimeter of \\( 12 \\mathrm{~cm} \\).\nWhat is the length of each of its sides? \\( 96 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given the perimeter, work out a missing length requiring knowledge of the geometrical properties of the shape A regular octagon has a total perimeter of \\( 12 \\mathrm{~cm} \\).\nWhat is the length of each of its sides? Not enough information"
},
{
"from": "gpt",
"v... |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Estimate the value of\n\\(\n\\frac{3.24 \\times 17.6}{0.224}\n\\) \\( 10.8 \\)"
},
{
"from": "gpt",
"value": "Rounds too little when estimating"
}
] |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Estimate the value of\n\\(\n\\frac{3.24 \\times 17.6}{0.224}\n\\) \\( 12 \\)"
},
{
"from": "gpt",
"value": "Believes that dividing by a decimal is the same as dividing by its recip... |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Estimate the value of\n\\(\n\\frac{3.24 \\times 17.6}{0.224}\n\\) \\( 270 \\)"
},
{
"from": "gpt",
"value": "Rounds to the nearest integer when estimating"
}
] |
[
{
"from": "human",
"value": "Use inequality notation to order fractions whose denominators are not multiples of the same number What sign would make this statement true?\n\\(\n\\frac{5}{9} ? \\frac{7}{12}\n\\) \\( > \\)"
},
{
"from": "gpt",
"value": "Mixes up greater than and less than symbols"... |
[
{
"from": "human",
"value": "Recognise and name an expression Which of the following is the most appropriate word to describe: \\( 6-3 g \\) Variable"
},
{
"from": "gpt",
"value": "Confuses an expression with a variable"
}
] |
[
{
"from": "human",
"value": "Recognise and name an expression Which of the following is the most appropriate word to describe: \\( 6-3 g \\) Equation"
},
{
"from": "gpt",
"value": "Confuses an equation with an expression"
}
] |
[
{
"from": "human",
"value": "Recognise and name an expression Which of the following is the most appropriate word to describe: \\( 6-3 g \\) Term"
},
{
"from": "gpt",
"value": "Confuses an expression with a term"
}
] |
[
{
"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 ![Squared paper with a horizontal line of reflection and a triangle. The horizontal base of the triangle is two squares above ... |
[
{
"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 ![Squared paper with a horizontal line of reflection and a triangle. The horizontal base of the triangle is two squares above ... |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle divided into 3 equal horizontal sections. The middle section is white and the other 2 sections are blue. In the centre of the white section are five 5-pointed blue stars in the same formation as the 5 dots on a dice. Al... |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle divided into 3 equal horizontal sections. The middle section is white and the other 2 sections are blue. In the centre of the white section are five 5-pointed blue stars in the same formation as the 5 dots on a dice. Al... |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle divided into 3 equal horizontal sections. The middle section is white and the other 2 sections are blue. In the centre of the white section are five 5-pointed blue stars in the same formation as the 5 dots on a dice. Al... |
[
{
"from": "human",
"value": "Tell the time from a 24 hour digital clock with times after half past the hour Which clock shows ten to twelve at night? 10:12"
},
{
"from": "gpt",
"value": "Gets the minutes and hours the wrong way around"
}
] |
[
{
"from": "human",
"value": "Tell the time from a 24 hour digital clock with times after half past the hour Which clock shows ten to twelve at night? \\( 12: 50 \\)"
},
{
"from": "gpt",
"value": "Does not adjust the hour for “to” times"
}
] |
[
{
"from": "human",
"value": "Tell the time from a 24 hour digital clock with times after half past the hour Which clock shows ten to twelve at night? 00:50"
},
{
"from": "gpt",
"value": "Does not adjust the hour for “to” times"
}
] |
[
{
"from": "human",
"value": "Interpret numbers in a frequency table Below is data from a Hockey team's matches over the course of a season, showing the number of goals scored. How many matches did the team play? ![\\begin{tabular}{|c|c|}\n\\hline Goals scored & Frequency \\\\\n\\hline \\( 0 \\) & \\( 6 \\) ... |
[
{
"from": "human",
"value": "Interpret numbers in a frequency table Below is data from a Hockey team's matches over the course of a season, showing the number of goals scored. How many matches did the team play? ![\\begin{tabular}{|c|c|}\n\\hline Goals scored & Frequency \\\\\n\\hline \\( 0 \\) & \\( 6 \\) ... |
[
{
"from": "human",
"value": "Interpret numbers in a frequency table Below is data from a Hockey team's matches over the course of a season, showing the number of goals scored. How many matches did the team play? ![\\begin{tabular}{|c|c|}\n\\hline Goals scored & Frequency \\\\\n\\hline \\( 0 \\) & \\( 6 \\) ... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx - c If\n\\(\nm^{2}+5 m-14 \\equiv(m+a)(m+b)\n\\)\nthen \\( a \\times b= \\) \\( 5 \\)"
},
{
"from": "gpt",
"value": "Believes the coefficent of x in an expanded quadratic comes from multiplying the two numbers in t... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx - c If\n\\(\nm^{2}+5 m-14 \\equiv(m+a)(m+b)\n\\)\nthen \\( a \\times b= \\) \\( 14 \\)"
},
{
"from": "gpt",
"value": "When factorising into double brackets, believes the product of the constants in the brackets is ... |
[
{
"from": "human",
"value": "Express one quantity as a percentage of another mentally What is \\( 60 \\mathrm{~m} \\) as a percentage of \\( 2 \\mathrm{~km} \\) ? \\( 333 \\% \\)"
},
{
"from": "gpt",
"value": "When writing a number as a percentage of another number gets them the wrong way around... |
[
{
"from": "human",
"value": "Express one quantity as a percentage of another mentally What is \\( 60 \\mathrm{~m} \\) as a percentage of \\( 2 \\mathrm{~km} \\) ? \\( 30 \\% \\)"
},
{
"from": "gpt",
"value": "Thinks there are 100m and a km"
}
] |
[
{
"from": "human",
"value": "Express one quantity as a percentage of another mentally What is \\( 60 \\mathrm{~m} \\) as a percentage of \\( 2 \\mathrm{~km} \\) ? \\( 60 \\% \\)"
},
{
"from": "gpt",
"value": "Thinks you need to just add a % sign to a number to make it a percentage"
}
] |
[
{
"from": "human",
"value": "Express pictorial representations of objects as a ratio ![A group of 8 squares and 5 circles]() What is the ratio of squares to circles? \\( 5: 13 \\)"
},
{
"from": "gpt",
"value": "When writing ratio from diagram, writes total as one side"
}
] |
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