conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape ![Line drawing of a triangular prism]() How many faces does this prism have? \\( 9 \\)"
},
{
"from": "gpt",
"value": "Confuses the terms faces and edges"
}
] |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape ![Line drawing of a triangular prism]() How many faces does this prism have? \\( 6 \\)"
},
{
"from": "gpt",
"value": "Confuses the terms faces and vertices"
}
] |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape ![Line drawing of a triangular prism]() How many faces does this prism have? \\( 3 \\)"
},
{
"from": "gpt",
"value": "Does not know the definition of a prism"
}
] |
[
{
"from": "human",
"value": "Write the next term of an ascending integer linear sequence What is the next term of this linear sequence?\n\\[\n3,9,15,21, \\ldots\n\\] \\( 22 \\)"
},
{
"from": "gpt",
"value": "When asked for the next term in the sequence adds one to the last term given, despite th... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets Problem P: \\( (4+5)^{2}= \\)\nProblem Q: \\( 4+5^{2}= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 4+5 \\)\nProblem Q: \\( 4+5 \\)"
},
{
"from": "gpt",
"value": ... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets Problem P: \\( (4+5)^{2}= \\)\nProblem Q: \\( 4+5^{2}= \\)\n\nWhich calculation should you do first in each problem? Problem P: \\( 5^{2} \\)\nProblem Q: \\( 5^{2} \\)"
},
{
"from": "gpt",
"valu... |
[
{
"from": "human",
"value": "Solve linear equations with the variable appearing on both sides, with all positive integers Solve the equation:\n\\(12 d-3=6 d+3\\) \\( d=0 \\)"
},
{
"from": "gpt",
"value": "Believes that a number divided by itself equals 0"
}
] |
[
{
"from": "human",
"value": "Solve linear equations with the variable appearing on both sides, with all positive integers Solve the equation:\n\\(12 d-3=6 d+3\\) \\( d=-1 \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than the inverse."
}
] |
[
{
"from": "human",
"value": "Solve linear equations with the variable appearing on both sides, with all positive integers Solve the equation:\n\\(12 d-3=6 d+3\\) \\( d=\\frac{1}{3} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than the inverse."
}
... |
[
{
"from": "human",
"value": "Carry out subtraction problems involving one negative integer \\( (-3)-5= \\) \\( 2 \\)"
},
{
"from": "gpt",
"value": "When subtracting from a negative thinks the answer must be positive"
}
] |
[
{
"from": "human",
"value": "Carry out subtraction problems involving one negative integer \\( (-3)-5= \\) \\( 8 \\)"
},
{
"from": "gpt",
"value": "When subtracting from a negative thinks the answer must be positive"
}
] |
[
{
"from": "human",
"value": "Interpret numbers in a frequency table \\begin{tabular}{|c|c|c|}\n\\hline TVs & Frequency & TVs \\( \\times \\) Frequency \\\\\n\\hline \\( 0 \\) & \\( 5 \\) & \\( 0 \\) \\\\\n\\hline \\( 1 \\) & \\( 8 \\) & \\( 8 \\) \\\\\n\\hline \\( 2 \\) & \\( 7 \\) & \\( 14 \\) \\\\\n\\hlin... |
[
{
"from": "human",
"value": "Interpret numbers in a frequency table \\begin{tabular}{|c|c|c|}\n\\hline TVs & Frequency & TVs \\( \\times \\) Frequency \\\\\n\\hline \\( 0 \\) & \\( 5 \\) & \\( 0 \\) \\\\\n\\hline \\( 1 \\) & \\( 8 \\) & \\( 8 \\) \\\\\n\\hline \\( 2 \\) & \\( 7 \\) & \\( 14 \\) \\\\\n\\hlin... |
[
{
"from": "human",
"value": "Given a sketch of a linear graph solve f(x) = n This is a graph of\n\\(y=4 x-1\\) ![A set of axes with y=4x-1 drawn on.]() Use the graph to solve\n\\(4 x-1=-3\\) \\( x=0.25 \\)"
},
{
"from": "gpt",
"value": "Believes the solution to mx + c = a is the x intercept of y... |
[
{
"from": "human",
"value": "Given a sketch of a linear graph solve f(x) = n This is a graph of\n\\(y=4 x-1\\) ![A set of axes with y=4x-1 drawn on.]() Use the graph to solve\n\\(4 x-1=-3\\) \\( x=-3 \\)"
},
{
"from": "gpt",
"value": "Believes the solution of mx + c = a is x =a"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( \\frac{1}{2} \\times 3= \\) \\( 3 \\frac{1}{2} \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiplies"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( \\frac{1}{2} \\times 3= \\) \\( \\frac{3}{6} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, multiplies both the numerator and denominator"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( \\frac{1}{2} \\times 3= \\) \\( \\frac{1}{6} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, multiplies the denominator"
}
] |
[
{
"from": "human",
"value": "Given a sketch of a linear graph solve f(x) = n This is the graph of \\( y=5-0.5 x \\) According to the graph, what is the solution to: \\( 5-0.5 x=6 \\) ![Graph showing straight line with y intercept (0,5) and x intercept (10,0)]() \\( x=2 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Given a sketch of a linear graph solve f(x) = n This is the graph of \\( y=5-0.5 x \\) According to the graph, what is the solution to: \\( 5-0.5 x=6 \\) ![Graph showing straight line with y intercept (0,5) and x intercept (10,0)]() \\( x=5 \\)"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Given a sketch of a linear graph solve f(x) = n This is the graph of \\( y=5-0.5 x \\) According to the graph, what is the solution to: \\( 5-0.5 x=6 \\) ![Graph showing straight line with y intercept (0,5) and x intercept (10,0)]() \\( x=10 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given the sketch of a negative quadratic, work out its factorised form Which of the following could be the equation of the curve? ![A negative quadratic graph that crosses the x-axis at (-5,0) and (1,0).]() \\( y=(1-x)(5-x) \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"from": "human",
"value": "Given the sketch of a negative quadratic, work out its factorised form Which of the following could be the equation of the curve? ![A negative quadratic graph that crosses the x-axis at (-5,0) and (1,0).]() \\( y=(x-1)(x+5) \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"from": "human",
"value": "Given the sketch of a negative quadratic, work out its factorised form Which of the following could be the equation of the curve? ![A negative quadratic graph that crosses the x-axis at (-5,0) and (1,0).]() \\( y=(x-1)(x-5) \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"from": "human",
"value": "Count backwards through zero starting from a positive integer ![A number line going from -8 up to 7]() Asha's office is on level \\( 7 \\).\nHer car is parked in the basement on level \\( -2 \\).\n\nHow many floors does Asha need to go down to get from the office to her car? \\(... |
[
{
"from": "human",
"value": "Count backwards through zero starting from a positive integer ![A number line going from -8 up to 7]() Asha's office is on level \\( 7 \\).\nHer car is parked in the basement on level \\( -2 \\).\n\nHow many floors does Asha need to go down to get from the office to her car? \\(... |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (x + a)² Which of the following answers shows a correct expansion and simplification of the expression below? \\( (x-4)^{2} \\) \\( x^{2}+16 \\)"
},
{
"from": "gpt",
"value": "Believes they only need to multiply the f... |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (x + a)² Which of the following answers shows a correct expansion and simplification of the expression below? \\( (x-4)^{2} \\) \\( x^{2}-8 x-16 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gi... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental addition This is how Ron calculates the answer to \\( 46+28 \\) mentally \"\\( 46+20 \\) is equal to \\( 66 \\). Then I am going to add on the \\( 8\\). \\(66+8=74 \\)\" Ron uses the same method to calculate \\( 37+56 \\). Which ... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental addition This is how Ron calculates the answer to \\( 46+28 \\) mentally \"\\( 46+20 \\) is equal to \\( 66 \\). Then I am going to add on the \\( 8\\). \\(66+8=74 \\)\" Ron uses the same method to calculate \\( 37+56 \\). Which ... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental addition This is how Ron calculates the answer to \\( 46+28 \\) mentally \"\\( 46+20 \\) is equal to \\( 66 \\). Then I am going to add on the \\( 8\\). \\(66+8=74 \\)\" Ron uses the same method to calculate \\( 37+56 \\). Which ... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table What is the mean shoe size? \\begin{tabular}{|c|c|}\n\\hline Shoe Size \\( (\\mathrm{s}) \\) & Frequency \\( (f) \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 8 \\) \\\\\n\\hline \\( 4 \\) & \\( 9 \\) \\\\\n\\hlin... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table What is the mean shoe size? \\begin{tabular}{|c|c|}\n\\hline Shoe Size \\( (\\mathrm{s}) \\) & Frequency \\( (f) \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 8 \\) \\\\\n\\hline \\( 4 \\) & \\( 9 \\) \\\\\n\\hlin... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table What is the mean shoe size? \\begin{tabular}{|c|c|}\n\\hline Shoe Size \\( (\\mathrm{s}) \\) & Frequency \\( (f) \\) \\\\\n\\hline \\( 2 \\) & \\( 5 \\) \\\\\n\\hline \\( 3 \\) & \\( 8 \\) \\\\\n\\hline \\( 4 \\) & \\( 9 \\) \\\\\n\\hlin... |
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,5,7, \\ldots ?\n\\]\n\nWhich pattern matches the sequence above? ![A sequence of 4 patterns. The first pattern is 1 green dot. The second pattern is green dots arranged in a 2 by 2 square shape. The third pattern is green dots arranged in a 3 b... |
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,5,7, \\ldots ?\n\\]\n\nWhich pattern matches the sequence above? ![A sequence of 4 patterns. The first pattern is one small cube. The other patterns are larger cubes made from small cubes like the one in the first pattern: Pattern 2 is a cube o... |
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,5,7, \\ldots ?\n\\]\n\nWhich pattern matches the sequence above? ![A sequence of 4 patterns. The first pattern is one blue dot. The other patterns are triangles, made from blue dots like the one in the first pattern: Pattern 2 has 2 dots on the... |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units Paige, Kaci and David want to find the area of the school playground. They each do it a different way. Who is correct? ![A compound shape making an L shape. The full w... |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units Paige, Kaci and David want to find the area of the school playground. They each do it a different way. Who is correct? ![A compound shape making an L shape. The full w... |
[
{
"from": "human",
"value": "Calculate the square of a number \\( 11^{2}= \\) \\( 1111 \\)"
},
{
"from": "gpt",
"value": "Repeats the digits twice when squaring a number"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number \\( 11^{2}= \\) \\( 22 \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring and multiplying by 2 or doubling"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number \\( 11^{2}= \\) \\( 112 \\)"
},
{
"from": "gpt",
"value": "Writes the index as a digit on the end of a number"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising both the numerator and denominator Simplify the following, if possible: \\( \\frac{4 t^{2}-1}{4 t+2} \\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"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 \\( \\theta \\) ? ![A right angled triangle with the two shorter sides marked as 7cm and 10cm. The angle opposite the 10 cm side... |
[
{
"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 \\( \\theta \\) ? ![A right angled triangle with the two shorter sides marked as 7cm and 10cm. The angle opposite the 10 cm side... |
[
{
"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 \\( \\theta \\) ? ![A right angled triangle with the two shorter sides marked as 7cm and 10cm. The angle opposite the 10 cm side... |
[
{
"from": "human",
"value": "Round numbers to one decimal place Round \\( 27.48 \\) to one decimal place \\( 27.4 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round numbers to one decimal place Round \\( 27.48 \\) to one decimal place \\( 27 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Recognise when to find the Lowest Common Multiple to solve a problem Sophie is organising a charity hot dog sale.\nThere are \\( 18 \\) bread rolls in each packet.\nThere are \\( 15 \\) hot dogs in each packet.\nSophie buys exactly the same number of bread rolls as hot dogs.\nWh... |
[
{
"from": "human",
"value": "Recognise when to find the Lowest Common Multiple to solve a problem Sophie is organising a charity hot dog sale.\nThere are \\( 18 \\) bread rolls in each packet.\nThere are \\( 15 \\) hot dogs in each packet.\nSophie buys exactly the same number of bread rolls as hot dogs.\nWh... |
[
{
"from": "human",
"value": "Recognise when to find the Lowest Common Multiple to solve a problem Sophie is organising a charity hot dog sale.\nThere are \\( 18 \\) bread rolls in each packet.\nThere are \\( 15 \\) hot dogs in each packet.\nSophie buys exactly the same number of bread rolls as hot dogs.\nWh... |
[
{
"from": "human",
"value": "Identify a unit of length Tom and Katie are discussing units of length\nTom says miles is a unit of length\nKatie says \\( m l \\) is a unit of length\nWho is correct? Only\nKatie"
},
{
"from": "gpt",
"value": "Does not recognise millilitres as a unit of volume"
}
... |
[
{
"from": "human",
"value": "Identify a unit of length Tom and Katie are discussing units of length\nTom says miles is a unit of length\nKatie says \\( m l \\) is a unit of length\nWho is correct? Both Tom and Katie"
},
{
"from": "gpt",
"value": "Does not recognise millilitres as a unit of volum... |
[
{
"from": "human",
"value": "Identify a unit of length Tom and Katie are discussing units of length\nTom says miles is a unit of length\nKatie says \\( m l \\) is a unit of length\nWho is correct? Neither is correct"
},
{
"from": "gpt",
"value": "Does not recognise miles as a unit of length"
}... |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 2 \\) in the number below?\n\\(\n12030\n\\) \\( 20000 \\)"
},
{
"from": "gpt",
"value": "When asked for the value of a digit, gives an answer 10 times too big"
}
] |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 2 \\) in the number below?\n\\(\n12030\n\\) \\( 200 \\)"
},
{
"from": "gpt",
"value": "When asked for the value of a digit, gives an answer 10 times too small"
}
] |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 2 \\) in the number below?\n\\(\n12030\n\\) \\( 2 \\)"
},
{
"from": "gpt",
"value": "When asked for the value of a digit, just gives the digit"
}
] |
[
{
"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 (0,3) and (1,1).]() \\( -1.5 \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"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 (0,3) and (1,1).]() \\( -0.5 \\)"
},
{
"from": "gpt",
"value": "Believe... |
[
{
"from": "human",
"value": "Solve problems involving subtracting a period of time from a given end time What time is \\( 30 \\) minutes before midnight? \\( 11: 30 \\)"
},
{
"from": "gpt",
"value": "Writes times in the afternoon as if they are morning on a 24 hour clock"
}
] |
[
{
"from": "human",
"value": "Solve problems involving subtracting a period of time from a given end time What time is \\( 30 \\) minutes before midnight? 11:30 am"
},
{
"from": "gpt",
"value": "Thinks that times just before midnight are \"am\" times"
}
] |
[
{
"from": "human",
"value": "Find the nth term rule for an ascending integer linear sequence Here are the first five terms of a sequence ![\\( \\begin{array}{llllll}3 & 5 & 7 & 9 & 11 & \\ldots\\end{array} \\)]() Find an expression for the \\( n \\)th term of this sequence. \\( 2 n \\)"
},
{
"from":... |
[
{
"from": "human",
"value": "Find the nth term rule for an ascending integer linear sequence Here are the first five terms of a sequence ![\\( \\begin{array}{llllll}3 & 5 & 7 & 9 & 11 & \\ldots\\end{array} \\)]() Find an expression for the \\( n \\)th term of this sequence. Double, add \\( 1 \\)"
},
{
... |
[
{
"from": "human",
"value": "Carry out missing number subtraction problems involving negative integers ![Number line with -7 and -5 marked on it. From the -7 there is an arrow to the right labelled +5. Then there is an arrow pointing to the left labelled b and ending at -5.]() What is the value of \\( b \\)... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, involving negative decimals Tom and Katie are discussing how to solve:\n\\(\\frac{5 x}{3}-1=-2.4\\)\n\nTom says a correct next line of working could be: \\( 5 x-3=-7.2 \\)\n\nKatie says a correct next line... |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate: \\( \\frac{1}{8} \\times \\frac{1}{3} \\) \\( \\frac{2}{11} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, adds the numerators and the denominators"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate: \\( \\frac{1}{8} \\times \\frac{1}{3} \\) \\( \\frac{3}{8} \\)"
},
{
"from": "gpt",
"value": "Divides rather than multiplies "
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Fraction Calculate: \\( \\frac{1}{8} \\times \\frac{1}{3} \\) \\( \\frac{1}{11} \\)"
},
{
"from": "gpt",
"value": "When multiplying fractions, multiplies the numerator and adds the denominator"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has rotational symmetry order \\( 4 \\) ? ![Rectangle]()"
},
{
"from": "gpt",
"value": "Thinks rectangles have rotational symmetry or order 4"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has rotational symmetry order \\( 4 \\) ? ![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 \\( 4 \\) ? ![Hexagon]()"
},
{
"from": "gpt",
"value": "Does not connect rotational symmetry to number of sides/vertices"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to one significant figure Round \\( 0.0572 \\) to \\( 1 \\) significant figure \\( 0.05 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to one significant figure Round \\( 0.0572 \\) to \\( 1 \\) significant figure \\( 0.1 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places rather than significant figures)"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to one significant figure Round \\( 0.0572 \\) to \\( 1 \\) significant figure \\( 0 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too little)"
}
] |
[
{
"from": "human",
"value": "Change an integer base number to another integer base number with a positive integer power Tom and Katie are arguing about powers.\nTom says \\( 2^{6}=4^{3} \\)\nKatie says \\( 2^{6}=8^{2} \\)\nWho is correct? Only Tom"
},
{
"from": "gpt",
"value": "Multiplies by the... |
[
{
"from": "human",
"value": "Change an integer base number to another integer base number with a positive integer power Tom and Katie are arguing about powers.\nTom says \\( 2^{6}=4^{3} \\)\nKatie says \\( 2^{6}=8^{2} \\)\nWho is correct? Neither is correct"
},
{
"from": "gpt",
"value": "Thinks ... |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (x + a)(x + b) Multiply out the brackets:\n\\[\n(m-5)(m-7)\n\\] \\( m^{2}+12 m+35 \\)"
},
{
"from": "gpt",
"value": "Believes adding two negatives gives a positive answer"
}
] |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (x + a)(x + b) Multiply out the brackets:\n\\[\n(m-5)(m-7)\n\\] \\( m^{2}-12 m-35 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Tom and Katie are arguing about the solution to this inequality:\n\\[\n20 \\geq 8 m\n\\]\n\nTom says \\( m \\) could be \\( 2.5 \\)\n\nKatie says \\( m \\) could be \\( 3 \\... |
[
{
"from": "human",
"value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Tom and Katie are arguing about the solution to this inequality:\n\\[\n20 \\geq 8 m\n\\]\n\nTom says \\( m \\) could be \\( 2.5 \\)\n\nKatie says \\( m \\) could be \\( 3 \\... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression Multiply out the brackets: \\( m(m-2) \\) \\( 2 m-2 m \\)"
},
{
"from": "gpt",
"value": "Does not realise multiplying a variable by itsel... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression Multiply out the brackets: \\( m(m-2) \\) \\( m^{2}-2 \\)"
},
{
"from": "gpt",
"value": "Only multiplies the first term in the expansion ... |
[
{
"from": "human",
"value": "Calculate the area of a scalene triangle where the dimensions are given in the same units Which of the following triangles have the same area as this rectangle? ![A rectangle with height of 4 and width of 8]() ![An isosceles triangle with base of 4 and perpendicular height of 8]... |
[
{
"from": "human",
"value": "Calculate the area of a scalene triangle where the dimensions are given in the same units Which of the following triangles have the same area as this rectangle? ![A rectangle with height of 4 and width of 8]() ![A right angled triangle with base of 4, perpendicular height of 8 a... |
[
{
"from": "human",
"value": "Calculate the area of a scalene triangle where the dimensions are given in the same units Which of the following triangles have the same area as this rectangle? ![A rectangle with height of 4 and width of 8]() They are all equal to the rectangle"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Complete mental subtraction problems up to 1000 \\( 204-36= \\) \\( 178 \\)"
},
{
"from": "gpt",
"value": "Does not compensate when subtracting"
}
] |
[
{
"from": "human",
"value": "Complete mental subtraction problems up to 1000 \\( 204-36= \\) \\( 240 \\)"
},
{
"from": "gpt",
"value": "Adds instead of subtracts"
}
] |
[
{
"from": "human",
"value": "Complete multi-step conversions of mass that use division How should you write \\( 5 \\) kilograms and \\( 7 \\) grams in tonnes? \\( 5007 t \\)"
},
{
"from": "gpt",
"value": "Thinks grams and tonnes are the same"
}
] |
[
{
"from": "human",
"value": "Complete multi-step conversions of mass that use division How should you write \\( 5 \\) kilograms and \\( 7 \\) grams in tonnes? \\( 0.05007 t \\)"
},
{
"from": "gpt",
"value": "Thinks there are 100kg in a tonne"
}
] |
[
{
"from": "human",
"value": "Given the area of an isosceles triangle, calculate a missing dimension This triangle has an area of \\( 36 \\mathrm{~cm}^{2} \\).\n\nWhat is the value of \\( p \\) ? ![A triangle with base labelled p and the perpendicular height labelled 12cm.]() \\( 3 \\mathrm{~cm} \\)"
},
... |
[
{
"from": "human",
"value": "Given the area of an isosceles triangle, calculate a missing dimension This triangle has an area of \\( 36 \\mathrm{~cm}^{2} \\).\n\nWhat is the value of \\( p \\) ? ![A triangle with base labelled p and the perpendicular height labelled 12cm.]() \\( 12 \\mathrm{~cm} \\)"
},
... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\[\n9-8+5\n\\]\nJo and Paul are trying to make the calculation above equal to \\( 6 \\).\nJo says you can write it like this: \\( 9-(8+5) \\)\nPaul says you can leave it like this: \\( 9-8+5 \\)\nWho is co... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\[\n9-8+5\n\\]\nJo and Paul are trying to make the calculation above equal to \\( 6 \\).\nJo says you can write it like this: \\( 9-(8+5) \\)\nPaul says you can leave it like this: \\( 9-8+5 \\)\nWho is co... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving brackets \\[\n9-8+5\n\\]\nJo and Paul are trying to make the calculation above equal to \\( 6 \\).\nJo says you can write it like this: \\( 9-(8+5) \\)\nPaul says you can leave it like this: \\( 9-8+5 \\)\nWho is co... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations Tom and Katie are discussing this equation:\n\\[\nx+y=12\n\\] Tom uses the equation to write:\n\\[\n3 x+3 y=36\n\\] Katie uses the equation to write:\n\\[\nx+2 y=24\n\\] Who has written a related linear equation? Only\nKatie... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations Tom and Katie are discussing this equation:\n\\[\nx+y=12\n\\] Tom uses the equation to write:\n\\[\n3 x+3 y=36\n\\] Katie uses the equation to write:\n\\[\nx+2 y=24\n\\] Who has written a related linear equation? Both Tom an... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations Tom and Katie are discussing this equation:\n\\[\nx+y=12\n\\] Tom uses the equation to write:\n\\[\n3 x+3 y=36\n\\] Katie uses the equation to write:\n\\[\nx+2 y=24\n\\] Who has written a related linear equation? Neither is ... |
[
{
"from": "human",
"value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(\ny=x^{2}\n\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -9 \\) \\\\\n\\hline\\( y \\) & \\( \\color{gold}\\bigstar \\) \\\... |
[
{
"from": "human",
"value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + c This is a part of the table of values for the equation\n\\(\ny=x^{2}\n\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -9 \\) \\\\\n\\hline\\( y \\) & \\( \\color{gold}\\bigstar \\) \\\... |
[
{
"from": "human",
"value": "Perform calculations with temperature when given in the same units Which statement about the temperatures \\( -5^{\\circ} \\mathrm{C} \\) and \\( 2^{\\circ} \\mathrm{C} \\) is true? \\( 2^{\\circ} \\mathrm{C} \\) is \\( 3^{\\circ} \\mathrm{C} \\)\nhotter than\n\\[\n-5^{\\circ} \... |
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