conversations listlengths 2 2 |
|---|
[
{
"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? \\( 8: 13 \\)"
},
{
"from": "gpt",
"value": "When writing ratio from diagram, writes total as one side"
}
] |
[
{
"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: 8 \\)"
},
{
"from": "gpt",
"value": "Mixes up sides of a ratio"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Tom and Katie are discussing the order of operations\nTom says: \\( 3+2-1 \\equiv 3-1+2 \\)\nKatie says: \\( 3+2 \\times 1 \\equiv 2 \\times 1+3 \\) Only\nTom"
... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Tom and Katie are discussing the order of operations\nTom says: \\( 3+2-1 \\equiv 3-1+2 \\)\nKatie says: \\( 3+2 \\times 1 \\equiv 2 \\times 1+3 \\) Only Katie"... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 180° and 270° Jo and Paul are arguing about the size of the marked angle.\nJo says it is \\( 120^{\\circ} \\)\nPaul says it is \\( 60^{\\circ} \\)\nWho is correct? ![Angle with a protractor over it showing 240 degrees]() Only\nJo"
},
... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 180° and 270° Jo and Paul are arguing about the size of the marked angle.\nJo says it is \\( 120^{\\circ} \\)\nPaul says it is \\( 60^{\\circ} \\)\nWho is correct? ![Angle with a protractor over it showing 240 degrees]() Only\nPaul"
}... |
[
{
"from": "human",
"value": "Solve quadratic equations using factorisation in the form (x + a)(x + b) One of these equations has exactly one solution.\nWhich is it? \\( t^{2}-16=0 \\)"
},
{
"from": "gpt",
"value": "Factorises difference of two squares with the same sign in both brackets"
}
] |
[
{
"from": "human",
"value": "Find missing numbers in a fraction multiplication Barry has two fraction cards.\n\\( \\frac{3}{7} \\quad \\square\\)\nThe product of the cards is \\( \\frac{2}{5} \\) What is the other card? \\( \\frac{29}{35} \\)"
},
{
"from": "gpt",
"value": "Does not know how to i... |
[
{
"from": "human",
"value": "Find missing numbers in a fraction multiplication Barry has two fraction cards.\n\\( \\frac{3}{7} \\quad \\square\\)\nThe product of the cards is \\( \\frac{2}{5} \\) What is the other card? \\( \\frac{1}{35} \\)"
},
{
"from": "gpt",
"value": "Does not know how to in... |
[
{
"from": "human",
"value": "Find missing numbers in a fraction multiplication Barry has two fraction cards.\n\\( \\frac{3}{7} \\quad \\square\\)\nThe product of the cards is \\( \\frac{2}{5} \\) What is the other card? \\( \\frac{6}{35} \\)"
},
{
"from": "gpt",
"value": "Does not know how to in... |
[
{
"from": "human",
"value": "Work out the equation of a line with a negative gradient from an accurate drawing If you were to write the equation of this line in the form \\( \\boldsymbol{y}=\\boldsymbol{m} \\boldsymbol{x}+\\boldsymbol{c} \\), what is the value of \\( \\boldsymbol{m} \\) ? ![Graph showing st... |
[
{
"from": "human",
"value": "Work out the equation of a line with a negative gradient from an accurate drawing If you were to write the equation of this line in the form \\( \\boldsymbol{y}=\\boldsymbol{m} \\boldsymbol{x}+\\boldsymbol{c} \\), what is the value of \\( \\boldsymbol{m} \\) ? ![Graph showing st... |
[
{
"from": "human",
"value": "Given the area of a square, calculate a missing dimension A square has an area \\( 36 \\mathrm{~mm}^{2} \\) What is the length of one side of the square? \\( 18 \\mathrm{~mm} \\)"
},
{
"from": "gpt",
"value": "Confuses square rooting and halving the number"
}
] |
[
{
"from": "human",
"value": "Given the area of a square, calculate a missing dimension A square has an area \\( 36 \\mathrm{~mm}^{2} \\) What is the length of one side of the square? \\( 9 \\mathrm{~mm} \\)"
},
{
"from": "gpt",
"value": "Confuses perimeter and area"
}
] |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\n\n... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\n\n... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\n\n... |
[
{
"from": "human",
"value": "Interpret a bar chart The bar chart shows the number of cups of tea and coffee sold in a café over \\( 4 \\) days.\n\nHow many cups of coffee were sold on Tuesday? ![A dual bar bar chart showing the number of cups of tea and coffee sold Monday to Thursday. The vertical scale sho... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+t-2}{t-1} \\) \\( t-1 \\)"
},
{
"from": "gpt",
"value": "Incorrectly factorises a quadratic"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+t-2}{t-1} \\) \\( t-2 \\)"
},
{
"from": "gpt",
"value": "Incorrectly factorises a quadratic"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{t^{2}+t-2}{t-1} \\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not recognise factorising a quadratic"
}
] |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons An equilateral shape must have... All sides and all angles equal"
},
{
"from": "gpt",
"value": "Does know know equilateral means the same as regular "
}
] |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons An equilateral shape must have... A right angle"
},
{
"from": "gpt",
"value": "Does know know equilateral means the same as regular "
}
] |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons An equilateral shape must have... All angles equal"
},
{
"from": "gpt",
"value": "Does know know equilateral means the same as regular "
}
] |
[
{
"from": "human",
"value": "Given information about one part, work out other parts Jess and Heena share some sweets in the ratio \\( 3\\;: 5 \\).\nJess gets \\( 15 \\) sweets.\nHow many sweets does Heena get? \\( 17 \\)"
},
{
"from": "gpt",
"value": "Thinks a difference of one part in a ratio m... |
[
{
"from": "human",
"value": "Identify vertical translations in the form f(x) = for non-trigonometric functions What transformation maps the graph of\n\\(y=f(x)\\)\nto the graph of\n\\(y=f(x)+1\\) Translation by vector\n\\(\\left[\\begin{array}{l}\n0 \\\\\n-1\n\\end{array}\\right]\\)"
},
{
"from": "g... |
[
{
"from": "human",
"value": "Identify vertical translations in the form f(x) = for non-trigonometric functions What transformation maps the graph of\n\\(y=f(x)\\)\nto the graph of\n\\(y=f(x)+1\\) Translation by vector\n\\(\\left[\\begin{array}{l}\n1 \\\\\n0\n\\end{array}\\right]\\)"
},
{
"from": "gp... |
[
{
"from": "human",
"value": "Identify vertical translations in the form f(x) = for non-trigonometric functions What transformation maps the graph of\n\\(y=f(x)\\)\nto the graph of\n\\(y=f(x)+1\\) Translation by vector\n\\(\\left[\\begin{array}{l}\n-1 \\\\\n0\n\\end{array}\\right]\\)"
},
{
"from": "g... |
[
{
"from": "human",
"value": "Given an exchange rate x = ny, convert to work out the number of x’s for a given y \\begin{tabular}{|l|}\n\\hline Exchange rates \\\\\n\\\\\n\\( £ 1=€ 1.17 \\) \\\\\n\\( £ 1=\\$ 1.31 \\)\n\\end{tabular} How much is \\( \\$ 5 \\) worth in pounds ( \\( £ \\) )? \\( 6.55 \\)"
},
... |
[
{
"from": "human",
"value": "Given an exchange rate x = ny, convert to work out the number of x’s for a given y \\begin{tabular}{|l|}\n\\hline Exchange rates \\\\\n\\\\\n\\( £ 1=€ 1.17 \\) \\\\\n\\( £ 1=\\$ 1.31 \\)\n\\end{tabular} How much is \\( \\$ 5 \\) worth in pounds ( \\( £ \\) )? \\( 5 \\)"
},
{... |
[
{
"from": "human",
"value": "Rearrange formulae to change the subject where the subject appears once and two steps are needed Rearrange the following equation to make \\( r \\) the subject\n\\[\np=3 r-5\n\\] \\( r=p+5 \\div 3 \\)"
},
{
"from": "gpt",
"value": "Misunderstands order of operations ... |
[
{
"from": "human",
"value": "Rearrange formulae to change the subject where the subject appears once and two steps are needed Rearrange the following equation to make \\( r \\) the subject\n\\[\np=3 r-5\n\\] \\( r=\\frac{p-5}{3} \\)"
},
{
"from": "gpt",
"value": "Confuses the inverse operations ... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Multiply out the brackets: \\( -5(m-7) \\) \\( 5 m+35 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying a positive by a negative gives a ... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Multiply out the brackets: \\( -5(m-7) \\) \\( -5 m-35 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gives a negative a... |
[
{
"from": "human",
"value": "Raise an integer to a positive non-unit fraction power \\( (16)^{\\frac{5}{2}}=? \\) \\( 20 \\)"
},
{
"from": "gpt",
"value": "Assumes they multiply by the numerator of fractional index"
}
] |
[
{
"from": "human",
"value": "Raise an integer to a positive non-unit fraction power \\( (16)^{\\frac{5}{2}}=? \\) \\( 40 \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Rearrange formulae to change the subject where the subject appears once and three or more steps are needed Tom and Katie are discussing rearranging \\( p=\\sqrt{5-q} \\) to make \\( q \\) the subject Tom says a correct first line of working could be: \\( p^{2}=5-q \\) Katie says... |
[
{
"from": "human",
"value": "Rearrange formulae to change the subject where the subject appears once and three or more steps are needed Tom and Katie are discussing rearranging \\( p=\\sqrt{5-q} \\) to make \\( q \\) the subject Tom says a correct first line of working could be: \\( p^{2}=5-q \\) Katie says... |
[
{
"from": "human",
"value": "Multiply an integer and an algebraic term James is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![The brackets shown are (x-8)(x-2). The arrows are pointing at the x in the first bracket and the -2 in the second b... |
[
{
"from": "human",
"value": "Multiply an integer and an algebraic term James is expanding these two brackets.\n\nWhat should he get when he multiplies the two terms indicated by the arrows? ![The brackets shown are (x-8)(x-2). The arrows are pointing at the x in the first bracket and the -2 in the second b... |
[
{
"from": "human",
"value": "Calculate unit fractions of an amount \\( \\frac{1}{7} \\) of \\( 56= \\) \\( 49 \\)"
},
{
"from": "gpt",
"value": "Thinks finding a fraction of an amount means subtracting from that amount"
}
] |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using corresponding angles Calculate the missing angle: ![Two vertical lines marked with arrows are crossed by one diagonal line. Two angles are marked; they are both on the upper side of the diagonal line and to the right of the vertical li... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using corresponding angles Calculate the missing angle: ![Two vertical lines marked with arrows are crossed by one diagonal line. Two angles are marked; they are both on the upper side of the diagonal line and to the right of the vertical li... |
[
{
"from": "human",
"value": "Use the prime factor decomposition of a number to calculate the number What number should replace \\(\\color{gold}\\bigstar \\) in the Venn diagram? ![A Venn diagram with two circles. The left hand one is labelled 'prime factors of \\star\\', the right hand circle is labelled 'p... |
[
{
"from": "human",
"value": "Use the prime factor decomposition of a number to calculate the number What number should replace \\(\\color{gold}\\bigstar \\) in the Venn diagram? ![A Venn diagram with two circles. The left hand one is labelled 'prime factors of \\star\\', the right hand circle is labelled 'p... |
[
{
"from": "human",
"value": "Use the prime factor decomposition of a number to calculate the number What number should replace \\(\\color{gold}\\bigstar \\) in the Venn diagram? ![A Venn diagram with two circles. The left hand one is labelled 'prime factors of \\star\\', the right hand circle is labelled 'p... |
[
{
"from": "human",
"value": "Round integers to the nearest other integer value (e.g. 20, 50 etc) What is \\( 646 \\) rounded to the nearest \\( 20 \\) ? \\( 650 \\)"
},
{
"from": "gpt",
"value": "Rounds to nearest 50 not 20"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest other integer value (e.g. 20, 50 etc) What is \\( 646 \\) rounded to the nearest \\( 20 \\) ? \\( 600 \\)"
},
{
"from": "gpt",
"value": "Does not understand you can round to numbers other than powers of 10"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest other integer value (e.g. 20, 50 etc) What is \\( 623 \\) rounded to the nearest \\( 50 \\) ? \\( 700 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest other integer value (e.g. 20, 50 etc) What is \\( 623 \\) rounded to the nearest \\( 50 \\) ? \\( 620 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too little)"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest other integer value (e.g. 20, 50 etc) What is \\( 623 \\) rounded to the nearest \\( 50 \\) ? \\( 650 \\)"
},
{
"from": "gpt",
"value": "Rounds up instead of down"
}
] |
[
{
"from": "human",
"value": "Identify perpendicular lines written in any other form Which of the following lines is perpendicular to\n\\(y=5 \\text { ? }\\) \\( y=-\\frac{1}{5} \\)"
},
{
"from": "gpt",
"value": "Thinks that in the equation y=a, a is the gradient"
}
] |
[
{
"from": "human",
"value": "Identify the net of a non-prism Which diagram is the net for a square based pyramid? ![Net showing a square and four rectangles]()"
},
{
"from": "gpt",
"value": "Struggles to visualise nets of 3D shapes"
}
] |
[
{
"from": "human",
"value": "Identify the net of a non-prism Which diagram is the net for a square based pyramid? ![Net showing two squares and four rectangles]()"
},
{
"from": "gpt",
"value": "Struggles to visualise nets of 3D shapes"
}
] |
[
{
"from": "human",
"value": "Identify the net of a non-prism Which diagram is the net for a square based pyramid? ![Net showing three squares and two triangles]()"
},
{
"from": "gpt",
"value": "Struggles to visualise nets of 3D shapes"
}
] |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators where one is a multiple of the other \\(\n\\frac{3}{4}-\\frac{1}{12}=\\frac{2}{\\bigstar}\n\\)\n\nWhat should replace the star? \\( 12 \\)"
},
{
"from": "gpt",
"value": "Forgets to change the numerators when findi... |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators where one is a multiple of the other \\(\n\\frac{3}{4}-\\frac{1}{12}=\\frac{2}{\\bigstar}\n\\)\n\nWhat should replace the star? \\( 48 \\)"
},
{
"from": "gpt",
"value": "Forgets to change the numerators when findi... |
[
{
"from": "human",
"value": "Round numbers to one decimal place \\[\n34590.8549\n\\]\nWhat is this number rounded to \\( 1 \\) decimal place? \\( 34590.8 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round numbers to one decimal place \\[\n34590.8549\n\\]\nWhat is this number rounded to \\( 1 \\) decimal place? \\( 30000 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Round numbers to one decimal place \\[\n34590.8549\n\\]\nWhat is this number rounded to \\( 1 \\) decimal place? \\( 34591.9 \\)"
},
{
"from": "gpt",
"value": "Changes wrong place value column when rounding"
}
] |
[
{
"from": "human",
"value": "Identify rational and irrational numbers Which of these two numbers are rational?\n\\(\n\\pi \\text { and } \\frac{1}{\\pi}\n\\) \\( \\pi \\)"
},
{
"from": "gpt",
"value": "Does not know the definition of a rational number"
}
] |
[
{
"from": "human",
"value": "Identify rational and irrational numbers Which of these two numbers are rational?\n\\(\n\\pi \\text { and } \\frac{1}{\\pi}\n\\) \\( \\frac{1}{\\pi} \\)"
},
{
"from": "gpt",
"value": "Does not know the definition of a rational number"
}
] |
[
{
"from": "human",
"value": "Identify rational and irrational numbers Which of these two numbers are rational?\n\\(\n\\pi \\text { and } \\frac{1}{\\pi}\n\\) Both"
},
{
"from": "gpt",
"value": "Does not know the definition of a rational number"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise this expression, if possible:\n\\(\np^{2}+2 p+3\n\\) \\( (p+2)(p+1) \\)"
},
{
"from": "gpt",
"value": "Believes the constant in an expanded quadratic comes from adding the two numbers in the brackets"... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise this expression, if possible:\n\\(\np^{2}+2 p+3\n\\) \\( (p+3)(p+1) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to give... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise this expression, if possible:\n\\(\np^{2}+2 p+3\n\\) \\( (p+3)(p-1) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that add to give the ... |
[
{
"from": "human",
"value": "Interpret the graphical solution to a pair of linear simultaneous equations from a diagram The cost of journeys from two taxi companies is shown on the diagram.\n\nAfter how many miles is Company P more expensive than Company Q? ![A graph showing Cost (£) on the y axis and Dista... |
[
{
"from": "human",
"value": "Recognise and use efficient methods for mental multiplication Tom and Katie are discussing ways to calculate \\( 59 \\times 4 \\) mentally\nTom doubles \\( 59 \\) and then doubles the answer\nKatie does \\( 60 \\times 4 \\) and then subtracts \\( 4 \\) from the answer\nWho would... |
[
{
"from": "human",
"value": "Recognise and use efficient methods for mental multiplication Tom and Katie are discussing ways to calculate \\( 59 \\times 4 \\) mentally\nTom doubles \\( 59 \\) and then doubles the answer\nKatie does \\( 60 \\times 4 \\) and then subtracts \\( 4 \\) from the answer\nWho would... |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n1,8,27,64, \\ldots\n\\]\n\nWhat is the name given to this sequence of numbers? The square numbers"
},
{
"from": "gpt",
"value": "Does not know what a square number is"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n1,8,27,64, \\ldots\n\\]\n\nWhat is the name given to this sequence of numbers? The odd numbers"
},
{
"from": "gpt",
"value": "Mixes up odd and even numbers"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n1,8,27,64, \\ldots\n\\]\n\nWhat is the name given to this sequence of numbers? The triangular numbers"
},
{
"from": "gpt",
"value": "Thinks cube numbers are triangular numbers"
}
] |
[
{
"from": "human",
"value": "Complete the square for expressions that end up in the form a(x + b)² + c When Aaron completes the square, what should replace the triangle?\n\\(\n3 g^{2}-18 g-7 \\equiv 3(g-3)^{2} \\triangle\n\\) \\( \\triangle=-16 \\)"
},
{
"from": "gpt",
"value": "When multiplying... |
[
{
"from": "human",
"value": "Complete the square for expressions that end up in the form a(x + b)² + c When Aaron completes the square, what should replace the triangle?\n\\(\n3 g^{2}-18 g-7 \\equiv 3(g-3)^{2} \\triangle\n\\) \\( \\triangle=-25 \\)"
},
{
"from": "gpt",
"value": "Mixes up squarin... |
[
{
"from": "human",
"value": "Complete the square for expressions that end up in the form a(x + b)² + c When Aaron completes the square, what should replace the triangle?\n\\(\n3 g^{2}-18 g-7 \\equiv 3(g-3)^{2} \\triangle\n\\) \\( \\triangle=-88 \\)"
},
{
"from": "gpt",
"value": "When completing ... |
[
{
"from": "human",
"value": "Convert between m and mm \\( 4 m \\) is the same as ___ \\( mm \\) \\( 40000 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 10000mm in a metre"
}
] |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by counting squares John is labelling the lengths of the sides of this shape. ![A hexagon with one side, length 3 squares, labelled 6cm. The side labelled with the gold star is 1 square in length.]() What should replace the star? \\( 1 \\mathr... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by counting squares John is labelling the lengths of the sides of this shape. ![A hexagon with one side, length 3 squares, labelled 6cm. The side labelled with the gold star is 1 square in length.]() What should replace the star? \\( 0.5 \\mat... |
[
{
"from": "human",
"value": "Solve linear simultaneous equations requiring a scaling of one expression What is a correct solution for the following pair of simultaneous equations:\n\\[4x+y=7\\]\n\\[3x+2y=4\\] \\( \\begin{array}{l}x=3 \\\\ y=-5\\end{array} \\)"
},
{
"from": "gpt",
"value": "When ... |
[
{
"from": "human",
"value": "Solve linear simultaneous equations requiring a scaling of one expression What is a correct solution for the following pair of simultaneous equations:\n\\[4x+y=7\\]\n\\[3x+2y=4\\] \\( \\begin{array}{l}x=0.6 \\\\ y=4.6\\end{array} \\)"
},
{
"from": "gpt",
"value": "Wh... |
[
{
"from": "human",
"value": "Solve linear simultaneous equations requiring a scaling of one expression What is a correct solution for the following pair of simultaneous equations:\n\\[4x+y=7\\]\n\\[3x+2y=4\\] \\( \\begin{array}{l}x=10 \\\\ y=-33\\end{array} \\)"
},
{
"from": "gpt",
"value": "Whe... |
[
{
"from": "human",
"value": "Write a surd in the form √a in a simplified form Simplify \\( \\sqrt{48} \\) as much as possible \\( 16 \\sqrt{3} \\)"
},
{
"from": "gpt",
"value": "When simplifying surds, does not square root the largest square number that goes into the number under the surd before... |
[
{
"from": "human",
"value": "Write a surd in the form √a in a simplified form Simplify \\( \\sqrt{48} \\) as much as possible \\( 2 \\sqrt{12} \\)"
},
{
"from": "gpt",
"value": "When simplifying surds, does not use the largest square number to simplify"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 6 \\div 3+5= \\)\nProblem Q: \\( 6 \\div 3 \\times 5= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 3+5 \\)\nProbl... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 6 \\div 3+5= \\)\nProblem Q: \\( 6 \\div 3 \\times 5= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 3+5 \\)\nProbl... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division Problem P: \\( 6 \\div 3+5= \\)\nProblem Q: \\( 6 \\div 3 \\times 5= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 6 \\div 3 \\)\... |
[
{
"from": "human",
"value": "Change decimals of hours into minutes \\( 0.2 \\) hours \\( = _______ \\) minutes \\( 20 \\)"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes"
}
] |
[
{
"from": "human",
"value": "Change decimals of hours into minutes \\( 0.2 \\) hours \\( = _______ \\) minutes \\( 2 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 10 minutes in an hour"
}
] |
[
{
"from": "human",
"value": "Use facts about interior angles in polygons with algebra to write expressions What is the size of angle \\( s \\) ? ![4 angles on an irregular quadrilateral these are labelled s, 2s, 2s, and 3s]() \\( 51.4^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Does not think th... |
[
{
"from": "human",
"value": "Identify mathematical instruments and their functions What is the name of the mathematical instrument used to construct circles? Callipers"
},
{
"from": "gpt",
"value": "Does not know the word and/or does not know the function of a compass"
}
] |
[
{
"from": "human",
"value": "Identify mathematical instruments and their functions What is the name of the mathematical instrument used to construct circles? Protractor"
},
{
"from": "gpt",
"value": "Does not know the word and/or does not know the function of a compass"
}
] |
[
{
"from": "human",
"value": "Identify mathematical instruments and their functions What is the name of the mathematical instrument used to construct circles? Slide rule"
},
{
"from": "gpt",
"value": "Does not know the word and/or does not know the function of a compass"
}
] |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( Q \\) ('the top')? ![A cuboid with dimensions 6cm by 3cm by 4 cm. The top face Q is marked. It is a rectangle... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( Q \\) ('the top')? ![A cuboid with dimensions 6cm by 3cm by 4 cm. The top face Q is marked. It is a rectangle... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( Q \\) ('the top')? ![A cuboid with dimensions 6cm by 3cm by 4 cm. The top face Q is marked. It is a rectangle... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 180° and 270° What is the size of the marked angle? ![A 360 degree protractor with 2 red lines and a pink sector marking out an angle being measured by the protractor. The outer scale goes from 0 to 360, clockwise. The angle is a reflex... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 180° and 270° What is the size of the marked angle? ![A 360 degree protractor with 2 red lines and a pink sector marking out an angle being measured by the protractor. The outer scale goes from 0 to 360, clockwise. The angle is a reflex... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 180° and 270° What is the size of the marked angle? ![A 360 degree protractor with 2 red lines and a pink sector marking out an angle being measured by the protractor. The outer scale goes from 0 to 360, clockwise. The angle is a reflex... |
[
{
"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} \\) ? ![Four quadrant, coord... |
[
{
"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} \\) ? ![Four quadrant, coord... |
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