conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as shapes or objects By comparing the fraction of the rectangle that is shaded in each diagram, decide which is the odd one out? ![A rectangle with 3/9 shaded in purple]()"
},
{
"from": "gpt",
"value": "Does not understand... |
[
{
"from": "human",
"value": "Recognise when an ascending sequence is quadratic Tom and Katie are discussing quadratic sequences.\n\nTom says this is a quadratic sequence: \\( 3,5,10,17,26, \\ldots \\)\n\nKatie says this is a quadratic sequence: \\( 3,6,12,24,48, \\ldots \\)\n\nWho is correct? Only Tom"
},... |
[
{
"from": "human",
"value": "Recognise when an ascending sequence is quadratic Tom and Katie are discussing quadratic sequences.\n\nTom says this is a quadratic sequence: \\( 3,5,10,17,26, \\ldots \\)\n\nKatie says this is a quadratic sequence: \\( 3,6,12,24,48, \\ldots \\)\n\nWho is correct? Only Katie"
... |
[
{
"from": "human",
"value": "Find a negative reciprocal \\( -\\frac{3}{4} \\times \\star=-1 \\) What should replace the star? \\( -\\frac{4}{3} \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Find a negative reciprocal \\( -\\frac{3}{4} \\times \\star=-1 \\) What should replace the star? \\( \\frac{3}{4} \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. missing number problems), does the original operation"... |
[
{
"from": "human",
"value": "Given information about the relationship between two parts (e.g. one part is worth 5 more than another), work out the whole Bill and Mischa share their profit in a ratio of \\( 9: 5 \\) Bill gets \\( £ 72 \\) more than Mischa. How much money did they receive altogether? \\( £ 11... |
[
{
"from": "human",
"value": "Given information about the relationship between two parts (e.g. one part is worth 5 more than another), work out the whole Bill and Mischa share their profit in a ratio of \\( 9: 5 \\) Bill gets \\( £ 72 \\) more than Mischa. How much money did they receive altogether? \\( £ 43... |
[
{
"from": "human",
"value": "Calculate a string of multiplications mentally \\( 3 \\times 5 \\times 20= \\) \\( 28 \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiples"
}
] |
[
{
"from": "human",
"value": "Calculate a string of multiplications mentally \\( 3 \\times 5 \\times 20= \\) \\( 30 \\)"
},
{
"from": "gpt",
"value": "When multiplying multiples of ten and the answer requires an extra digit, leaves off that extra digit"
}
] |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with the same denominator \\(\n1 \\frac{2}{3}-\\frac{1}{3}\n\\)\nWhich of the following is a correct way to write the answer to this calculation? \\( \\frac{2}{3} \\)"
},
{
"from": "gpt",
"value": "When subtracting ... |
[
{
"from": "human",
"value": "Subtract fractions involving mixed number fractions with the same denominator \\(\n1 \\frac{2}{3}-\\frac{1}{3}\n\\)\nWhich of the following is a correct way to write the answer to this calculation? \\( \\frac{1}{3} \\)"
},
{
"from": "gpt",
"value": "When subtracting ... |
[
{
"from": "human",
"value": "Subtract integers up to 3 digits using a written method where carrying is needed What is the answer to this subtraction problem? ![\\begin{tabular}{r|r|}\n\\( 503 \\) \\\\\n\\( -\\quad 98 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 415 \\)"
},
{
"from": "gpt",
"value": ... |
[
{
"from": "human",
"value": "Subtract integers up to 3 digits using a written method where carrying is needed What is the answer to this subtraction problem? ![\\begin{tabular}{r|r|}\n\\( 503 \\) \\\\\n\\( -\\quad 98 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 595 \\)"
},
{
"from": "gpt",
"value": ... |
[
{
"from": "human",
"value": "Solve problems that combine addition and subtraction Summer buys a dress for \\( £ 73 \\) and two pairs of shoes for \\( £ 41 \\) each. \nShe pays using a \\( £ 40 \\) gift voucher and some cash.\n\nHow much cash does she pay? £195"
},
{
"from": "gpt",
"value": "Adds... |
[
{
"from": "human",
"value": "Identify parallel lines written in the form y = c - mx Tom and Katie are discussing parallel lines\nTom says \\( y=4-3 x \\) and \\( y=4-2 x \\) are parallel \nKatie says \\( y=4-3 x \\) and \\( y=2-3 x \\) are parallel\nWho is correct? Both Tom and Katie"
},
{
"from": "... |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 3 \\) in the number below?\n\\(\n43075\n\\) \\( 30000 \\)"
},
{
"from": "gpt",
"value": "Confuses the ten thousands and thousands place value columns"
}
] |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 3 \\) in the number below?\n\\(\n43075\n\\) \\( 3 \\)"
},
{
"from": "gpt",
"value": "When asked for the value of a digit, just gives the digit"
}
] |
[
{
"from": "human",
"value": "Recognise the place value of each digit in integers What is the value of the \\( 3 \\) in the number below?\n\\(\n43075\n\\) \\( 30 \\)"
},
{
"from": "gpt",
"value": "Does not equate the value of a number with the place value column it is in"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise the following expression \\( x^{2}+6 x+5 \\) \\( (x+2)(x+3) \\)"
},
{
"from": "gpt",
"value": "Does not know that to factorise a quadratic expression, to find two numbers that add to give the coeffici... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Factorise the following expression \\( x^{2}+6 x+5 \\) \\( x(x+6)+5 \\)"
},
{
"from": "gpt",
"value": "Thinks factorising a quadratic means factorising the variable terms into a single bracket, and leaving out ... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, with all positive integers Kieran thinks of a number. He doubles it and adds \\( 6 \\). He then divides it by \\( 2 \\). The answer is \\( 8 \\). What was his original number? ![A cartoon of a man, in this... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, with all positive integers Kieran thinks of a number. He doubles it and adds \\( 6 \\). He then divides it by \\( 2 \\). The answer is \\( 8 \\). What was his original number? ![A cartoon of a man, in this... |
[
{
"from": "human",
"value": "Convert two digit integer percentages to fractions What is \\( 72 \\% \\) written as a fraction? \\( 7 \\frac{2}{100} \\)"
},
{
"from": "gpt",
"value": "Only reads the percentage symbol as applying to the units digit"
}
] |
[
{
"from": "human",
"value": "Convert two digit integer percentages to fractions What is \\( 72 \\% \\) written as a fraction? \\( \\frac{1}{72} \\)"
},
{
"from": "gpt",
"value": "Does not understand a percentage is out of 100"
}
] |
[
{
"from": "human",
"value": "Convert two digit integer percentages to fractions What is \\( 72 \\% \\) written as a fraction? None of these options"
},
{
"from": "gpt",
"value": "Does not recognise when simplifying a fraction may be helpful"
}
] |
[
{
"from": "human",
"value": "Expand two brackets with linear terms in the form (x + a)(x + b) Which of the following answers shows a correct expansion of the expression below?\n\\[\n(x+4)(x-1)\n\\] \\( x^{2}-x+4 x+3 \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiplying when expanding br... |
[
{
"from": "human",
"value": "Round integers to the nearest 10 What is \\( 4296 \\) rounded to the nearest \\( 10 \\) ? \\( 4290 \\)"
},
{
"from": "gpt",
"value": "Rounds incorrectly when the nearest 10 is a multiple of 100"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest 10 What is \\( 4296 \\) rounded to the nearest \\( 10 \\) ? \\( 4310 \\)"
},
{
"from": "gpt",
"value": "Rounds incorrectly when the nearest 10 is a multiple of 100"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest 10 What is \\( 4296 \\) rounded to the nearest \\( 10 \\) ? \\( 4000 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Convert between l and m³ \\[\n100 \\text { litres = }\n\\square \\, cubic \\, metres\n\\] \\( 100 \\)"
},
{
"from": "gpt",
"value": "Thinks 1l = 1 cubic metre"
}
] |
[
{
"from": "human",
"value": "Convert between l and m³ \\[\n100 \\text { litres = }\n\\square \\, cubic \\, metres\n\\] \\( 10 \\)"
},
{
"from": "gpt",
"value": "Thinks 10l = 1 cubic metre"
}
] |
[
{
"from": "human",
"value": "Find 100 more than a given number What number is \\( 100 \\) more than \\( 72980 ? \\) \\( 73,980 \\)"
},
{
"from": "gpt",
"value": "When adding powers of 10 adds onto the wrong column"
}
] |
[
{
"from": "human",
"value": "Find 100 more than a given number What number is \\( 100 \\) more than \\( 72980 ? \\) \\( 7,298,000 \\)"
},
{
"from": "gpt",
"value": "Multiplies rather than adds when given the command word 'more'"
}
] |
[
{
"from": "human",
"value": "Find 100 more than a given number What number is \\( 100 \\) more than \\( 72980 ? \\) \\( 72,080 \\)"
},
{
"from": "gpt",
"value": "When two digits sum to 10 or more during an addition problem, does not add one to the preceding digit"
}
] |
[
{
"from": "human",
"value": "Order negative decimals with the same number of digits Here are the depths below sea level of \\( 3 \\) creatures:\nStarfish: \\( -7 m \\)\nShark: \\( -9 m \\)\nDolphin: \\( -8.3 \\mathrm{~m} \\)\nArrange their depths in ascending order, starting with the deepest \\( 1^{\\text {... |
[
{
"from": "human",
"value": "Order negative decimals with the same number of digits Here are the depths below sea level of \\( 3 \\) creatures:\nStarfish: \\( -7 m \\)\nShark: \\( -9 m \\)\nDolphin: \\( -8.3 \\mathrm{~m} \\)\nArrange their depths in ascending order, starting with the deepest \\( 1^{\\text {... |
[
{
"from": "human",
"value": "Recognise the vertically opposite angles relationship Which angle is vertically opposite to angle \\( p \\) ? ![A diagram with 3 lines. 2 of the lines go from the left to the right of the diagram, getting closer to each other on the right hand side (the lines are not parallel). ... |
[
{
"from": "human",
"value": "Recognise the vertically opposite angles relationship Which angle is vertically opposite to angle \\( p \\) ? ![A diagram with 3 lines. 2 of the lines go from the left to the right of the diagram, getting closer to each other on the right hand side (the lines are not parallel). ... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle with a base length 5 cm and a perpendicular height of 8 cm.]() \\( 13 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
"value": "Adds when c... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle with a base length 5 cm and a perpendicular height of 8 cm.]() \\( 26 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
"value": "Calculates ... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle with a base length 5 cm and a perpendicular height of 8 cm.]() Not enough information in the diagram"
},
{
"from": "gpt",
"value": "Do... |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape How many edges does this shape have? ![\\( \\Delta \\)]() \\( 0 \\)"
},
{
"from": "gpt",
"value": "Believes only straight lines count as edges on 3D shapes"
}
] |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape How many edges does this shape have? ![\\( \\Delta \\)]() \\( 2 \\)"
},
{
"from": "gpt",
"value": "Confuses the terms faces and edges"
}
] |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape How many edges does this shape have? ![\\( \\Delta \\)]() \\( 3 \\)"
},
{
"from": "gpt",
"value": "Believes parts of a 3D diagram that look straight class as edges"
}
] |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the value of the missing number? ![\\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{\\( 13^{2} \\)} \\\\\n\\hline\\( \\ldots \\ldots \\ldots \\) & \\( 12^{2} \\) \\\\\n\\hline\n\\end{tabular}]() \\( 12.5 \\)"
},
{
"from... |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the value of the missing number? ![\\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{\\( 13^{2} \\)} \\\\\n\\hline\\( \\ldots \\ldots \\ldots \\) & \\( 12^{2} \\) \\\\\n\\hline\n\\end{tabular}]() \\( 1 \\)"
},
{
"from": ... |
[
{
"from": "human",
"value": "Multiply two decimals together with a different number of decimal places \\( 0.8 \\times 0.15= \\) \\( 1.2 \\)"
},
{
"from": "gpt",
"value": "When multiplying decimals, divides by the wrong power of 10 when reinserting the decimal"
}
] |
[
{
"from": "human",
"value": "Multiply two decimals together with a different number of decimal places \\( 0.8 \\times 0.15= \\) \\( 1.20 \\)"
},
{
"from": "gpt",
"value": "When multiplying decimals, divides by the wrong power of 10 when reinserting the decimal"
}
] |
[
{
"from": "human",
"value": "Multiply two decimals together with a different number of decimal places \\( 0.8 \\times 0.15= \\) \\( 0.012 \\)"
},
{
"from": "gpt",
"value": "When multiplying decimals, divides by the wrong power of 10 when reinserting the decimal"
}
] |
[
{
"from": "human",
"value": "Given the perimeter, work out a missing length requiring knowledge of the geometrical properties of the shape The perimeter of this rectangle is \\( 1.6 \\mathrm{~m} \\).\n\nWhat is the length of the side marked with a star? ![A rectangle with base length 0.35 m and the side len... |
[
{
"from": "human",
"value": "Carry out addition problems involving two negative integers \\( (-3)+(-5)= \\) \\( 2 \\)"
},
{
"from": "gpt",
"value": "Ignores the negative signs when adding positive and negative numbers"
}
] |
[
{
"from": "human",
"value": "Carry out addition problems involving two negative integers \\( (-3)+(-5)= \\) \\( 8 \\)"
},
{
"from": "gpt",
"value": "Believes adding two negatives gives a positive answer"
}
] |
[
{
"from": "human",
"value": "Given the area of a square, calculate a missing dimension A square has an area of \\( 64 \\mathrm{~cm}^{2} \\) What is the length of the square? \\( 32 \\mathrm{~cm} \\)"
},
{
"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 of \\( 64 \\mathrm{~cm}^{2} \\) What is the length of the square? \\( 16 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
"value": "Confuses perimeter and area"
}
] |
[
{
"from": "human",
"value": "Convert from mixed number fractions to improper fractions Convert \\( 3 \\frac{1}{5} \\) to an improper fraction. \\( \\frac{3}{5} \\)"
},
{
"from": "gpt",
"value": "Multiplies the number of whole units by the numerator when converting from a mixed number to an impro... |
[
{
"from": "human",
"value": "Convert from mixed number fractions to improper fractions Convert \\( 3 \\frac{1}{5} \\) to an improper fraction. \\( \\frac{15}{5} \\)"
},
{
"from": "gpt",
"value": "Forgets to add the numerator when converting from a mixed number to an improper fraction "
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( 7 \\times \\frac{1}{4}=7 \\div ? \\) \\( \\frac{4}{4} \\)"
},
{
"from": "gpt",
"value": "Does not know multiplying by a unit fraction is equivalent to: dividing by its denominator value"
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( 7 \\times \\frac{1}{4}=7 \\div ? \\) \\( \\frac{1}{4} \\)"
},
{
"from": "gpt",
"value": "When dividing an integer by a fraction, thinks they can just multiply instead."
}
] |
[
{
"from": "human",
"value": "Multiply proper fractions in the form: Fraction × Integer \\( 7 \\times \\frac{1}{4}=7 \\div ? \\) Not possible"
},
{
"from": "gpt",
"value": "Does not know multiplying by a unit fraction is equivalent to: dividing by its denominator value"
}
] |
[
{
"from": "human",
"value": "Construct a triangle using Side-Side-Side Tom and Katie are arguing about constructing triangles.\n\nTom says you can construct a triangle with lengths \\( 11 \\mathrm{~cm}, 10 \\mathrm{~cm} \\) and \\( 2 \\mathrm{~cm} \\).\n\nKatie says you can construct a triangle with lengths... |
[
{
"from": "human",
"value": "Construct a triangle using Side-Side-Side Tom and Katie are arguing about constructing triangles.\n\nTom says you can construct a triangle with lengths \\( 11 \\mathrm{~cm}, 10 \\mathrm{~cm} \\) and \\( 2 \\mathrm{~cm} \\).\n\nKatie says you can construct a triangle with lengths... |
[
{
"from": "human",
"value": "Find missing numbers in a fraction multiplication \\( \\frac{2}{7} \\times ?=1 \\) \\( \\frac{2}{7} \\)"
},
{
"from": "gpt",
"value": "Thinks if you multiply a fraction by itself you get a whole"
}
] |
[
{
"from": "human",
"value": "Interpret a pictogram involving full symbols ![Pictogram showing smiley faces, where each smiley face is worth 10 people. Game 1 has 5 smiley faces. Game 2 has 2 smiley faces. Game 3 has 3 smiley faces. Game 4 has 2 smiley faces.]() The pictogram shows how many people came to wa... |
[
{
"from": "human",
"value": "Interpret a pictogram involving full symbols ![Pictogram showing smiley faces, where each smiley face is worth 10 people. Game 1 has 5 smiley faces. Game 2 has 2 smiley faces. Game 3 has 3 smiley faces. Game 4 has 2 smiley faces.]() The pictogram shows how many people came to wa... |
[
{
"from": "human",
"value": "Interpret a pictogram involving full symbols ![Pictogram showing smiley faces, where each smiley face is worth 10 people. Game 1 has 5 smiley faces. Game 2 has 2 smiley faces. Game 3 has 3 smiley faces. Game 4 has 2 smiley faces.]() The pictogram shows how many people came to wa... |
[
{
"from": "human",
"value": "Calculate the area of an isosceles triangle where the dimensions are given in the same units What is the area of the triangle? ![An image of a triangle. The width is marked /sqrt(64) and the vertical height is marked 4cm. ]() \\( 32 \\mathrm{~cm}^{2} \\)"
},
{
"from": "g... |
[
{
"from": "human",
"value": "Calculate the area of an isosceles triangle where the dimensions are given in the same units What is the area of the triangle? ![An image of a triangle. The width is marked /sqrt(64) and the vertical height is marked 4cm. ]() \\( 64 \\mathrm{~cm}^{2} \\)"
},
{
"from": "g... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which answer shows the following calculation using the correct algebraic convention?\n\\(\ny \\times x+b \\times 3\n\\) \\( y x+b 3 \\)"
},
{
"from": "gpt",
"value": "Writes the variable before the coeffic... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which answer shows the following calculation using the correct algebraic convention?\n\\(\ny \\times x+b \\times 3\n\\) \\( 3 b x y \\)"
},
{
"from": "gpt",
"value": "Multiplies all terms together when sim... |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle]() How many lines of symmetry does this shape have? \\( 0 \\)"
},
{
"from": "gpt",
"value": "Cannot identify a line of symmetry in a simple shape"
}
] |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle]() How many lines of symmetry does this shape have? \\( 1 \\)"
},
{
"from": "gpt",
"value": "Believes lines of reflection must be vertical or horizontal"
}
] |
[
{
"from": "human",
"value": "Identify or mark lines of symmetry on a shape ![A rectangle]() How many lines of symmetry does this shape have? \\( 4 \\)"
},
{
"from": "gpt",
"value": "Thinks rectangles have line symmetry in the diagonals "
}
] |
[
{
"from": "human",
"value": "Change decimals of hours into minutes \\( 2.5 \\) hours \\( =_____ \\) minutes \\( 125 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 10 minutes in an hour"
}
] |
[
{
"from": "human",
"value": "Change decimals of hours into minutes \\( 2.5 \\) hours \\( =_____ \\) minutes \\( 250 \\)"
},
{
"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 \\( 2.5 \\) hours \\( =_____ \\) minutes \\( 205 \\)"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes"
}
] |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols The pictogram shows the number of each type of tree in a small wood.\n\nThere are \\( 50 \\) oak trees.\nHow many tree symbols would you need to draw to represent this? ![A pictogram with a key showing that 1 tree picture = 20... |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols The pictogram shows the number of each type of tree in a small wood.\n\nThere are \\( 50 \\) oak trees.\nHow many tree symbols would you need to draw to represent this? ![A pictogram with a key showing that 1 tree picture = 20... |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols The pictogram shows the number of each type of tree in a small wood.\n\nThere are \\( 50 \\) oak trees.\nHow many tree symbols would you need to draw to represent this? ![A pictogram with a key showing that 1 tree picture = 20... |
[
{
"from": "human",
"value": "Describe a descending linear sequence in words Which statement correctly describes this sequence?\n\n\\[\n7,2,-3, \\ldots\n\\] The first term is \\( 7 \\) and the term-to-term rule is \\( +5 \\)"
},
{
"from": "gpt",
"value": "Goes the wrong direction in the sequence ... |
[
{
"from": "human",
"value": "Describe a descending linear sequence in words Which statement correctly describes this sequence?\n\n\\[\n7,2,-3, \\ldots\n\\] The first term is \\( 7 \\) and the position-to-term rule is \\( -5 \\)"
},
{
"from": "gpt",
"value": "Describes term to term rules using po... |
[
{
"from": "human",
"value": "Describe a descending linear sequence in words Which statement correctly describes this sequence?\n\n\\[\n7,2,-3, \\ldots\n\\] The first term is \\( 12 \\) and the position-to-term rule is \\( -5 \\)"
},
{
"from": "gpt",
"value": "Thinks the first term in a sequence ... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as shapes or objects By comparing the fraction of the rectangle that is shaded in each diagram, decide which is the odd one out? ![A rectangle with 3/4 shaded in red]()"
},
{
"from": "gpt",
"value": "Does not see fraction ... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as shapes or objects By comparing the fraction of the rectangle that is shaded in each diagram, decide which is the odd one out? ![A rectangle with 6/8 shaded in blue]()"
},
{
"from": "gpt",
"value": "Does not see fraction... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as shapes or objects By comparing the fraction of the rectangle that is shaded in each diagram, decide which is the odd one out? ![A rectangle with 12/16 shaded in orange]()"
},
{
"from": "gpt",
"value": "Does not see frac... |
[
{
"from": "human",
"value": "Recognise when it is possible to factorise an expression into a double bracket Jo says when she is factorising \\( x^{2}-4 x \\) she tries to think of two numbers that multiply together to give \\( -4 \\) and add together to give \\( 0 \\)\n\nPaul says when he is factorising \\(... |
[
{
"from": "human",
"value": "Solve linear equations with the variable appearing on both sides, involving negative integers Which step of the balance diagram is incorrect? ![Image of an equation and three lines of working to solve it.\nThe equation is 4p+5=2p-9\nStep A is 4p=2p-4\nStep B is 2p= -4\nStep C is... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A quadratic curve with a minimum turning point at (-2, -1). The curve crosses the x axis at the points (-3,0) and (-1,0). It crosses... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A quadratic curve with a minimum turning point at (-2, -1). The curve crosses the x axis at the points (-3,0) and (-1,0). It crosses... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A quadratic curve with a minimum turning point at (-2, -1). The curve crosses the x axis at the points (-3,0) and (-1,0). It crosses... |
[
{
"from": "human",
"value": "Convert fractions to ratios \\( \\frac{3}{7} \\) of a group of students are boys.\nWhat would be a possible ratio of boys to girls? \\( 3: 7 \\)"
},
{
"from": "gpt",
"value": "Uses the denominator when converting from fractions to ratio, rather than numerator."
}
] |
[
{
"from": "human",
"value": "Convert fractions to ratios \\( \\frac{3}{7} \\) of a group of students are boys.\nWhat would be a possible ratio of boys to girls? \\( 3: 10 \\)"
},
{
"from": "gpt",
"value": "When converting fractions to ratios, puts the other side of the ratio as the total of the ... |
[
{
"from": "human",
"value": "Convert fractions to ratios \\( \\frac{3}{7} \\) of a group of students are boys.\nWhat would be a possible ratio of boys to girls? \\( 4: 3 \\)"
},
{
"from": "gpt",
"value": "Gets order of ratio wrong"
}
] |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, involving positive fractions Solve the equation:\n\n\\(\n3 p=\\frac{1}{12}\n\\) \\( p=\\frac{1}{4} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than t... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers \\( a, b \\) and \\( c \\) are different numbers\n\\(\n\\frac{a}{b+c}=a \\div(b+c)\n\\)\nIs the above relationship... never true"
},
{
"from": "gpt",
"value": "Does not underst... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers \\( a, b \\) and \\( c \\) are different numbers\n\\(\n\\frac{a}{b+c}=a \\div(b+c)\n\\)\nIs the above relationship... sometimes true"
},
{
"from": "gpt",
"value": "Does not und... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers \\( a, b \\) and \\( c \\) are different numbers\n\\(\n\\frac{a}{b+c}=a \\div(b+c)\n\\)\nIs the above relationship... Need more information"
},
{
"from": "gpt",
"value": "Does ... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² + bx + c Which multiplication will help factorise \\( x^{2}+33 x+32 \\) ? \\( 2 \\times 16 \\)"
},
{
"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}+33 x+32 \\) ? \\( 4 \\times 8 \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply to g... |
[
{
"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 \\) \\( -8 \\)"
},
{
"from": "gpt",
... |
[
{
"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 \\) \\( -3 \\)"
},
{
"from": "gpt",
... |
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