conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Convert integer percentages with 3 or more digits to decimals How do you write \\( 803 \\% \\) as a decimal? \\( 0.803 \\)"
},
{
"from": "gpt",
"value": "When converting a percentage to a decimal, just writes all the digits after a decimal point."
}
] |
[
{
"from": "human",
"value": "Convert integer percentages with 3 or more digits to decimals How do you write \\( 803 \\% \\) as a decimal? \\( 8.3 \\)"
},
{
"from": "gpt",
"value": "Does not understand the value of zeros as placeholders"
}
] |
[
{
"from": "human",
"value": "Convert fractions to ratios James and Cameron are watching a film. They pause it with one seventh left to watch.\n\nWhat is the ratio of how much they have watched to how much the have yet to see? ![An image of a television]() 7:1"
},
{
"from": "gpt",
"value": "Uses ... |
[
{
"from": "human",
"value": "Convert fractions to ratios James and Cameron are watching a film. They pause it with one seventh left to watch.\n\nWhat is the ratio of how much they have watched to how much the have yet to see? ![An image of a television]() 1:6"
},
{
"from": "gpt",
"value": "Gets ... |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving no powers or roots If \\( h=3 \\) what is the value of \\( 2+h \\) ? \\( 23 \\)"
},
{
"from": "gpt",
"value": "When adding, just writes the digit to the right of the number without considering place value"... |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving no powers or roots If \\( h=3 \\) what is the value of \\( 2+h \\) ? \\( -1 \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds"
}
] |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving no powers or roots If \\( h=3 \\) what is the value of \\( 2+h \\) ? We cannot tell because \\( h \\) is a variable."
},
{
"from": "gpt",
"value": "Believes a variable must remain unknown and cannot be sub... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-4\n\\) \\( p(p-2) \\)"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-4\n\\) \\( (p-2)(p-2) \\)"
},
{
"from": "gpt",
"value": "Factorises difference of two squares with the same sign in both brackets"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - c Factorise this expression, if possible:\n\\(\np^{2}-4\n\\) Does not\nfactorise"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"from": "human",
"value": "Carry out missing number subtraction problems where a written method is needed \\(\\square\\quad -\\quad 1.534=2.7 \\) \\( 1.166 \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds"
}
] |
[
{
"from": "human",
"value": "Carry out missing number subtraction problems where a written method is needed \\(\\square\\quad -\\quad 1.534=2.7 \\) \\( 1.234 \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds"
}
] |
[
{
"from": "human",
"value": "Carry out missing number subtraction problems where a written method is needed \\(\\square\\quad -\\quad 1.534=2.7 \\) \\( 3.541 \\)"
},
{
"from": "gpt",
"value": "When adding decimals with a different number of decimal places, lines up the digits incorrectly"
}
] |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x-6}{2}=10\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{2}=16 \\)\nKatie says a correct next line of work... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{x-6}{2}=10\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{2}=16 \\)\nKatie says a correct next line of work... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as numbers What number replaces the circle to make these two fractions equivalent? \\( \\frac{2}{7}=\\frac{6}{?} \\) \\( 11 \\)"
},
{
"from": "gpt",
"value": "Believes equivalent fractions are formed with addition not mult... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as numbers What number replaces the circle to make these two fractions equivalent? \\( \\frac{2}{7}=\\frac{6}{?} \\) \\( 7 \\)"
},
{
"from": "gpt",
"value": "Does not understand equivalent fractions"
}
] |
[
{
"from": "human",
"value": "Divide a quantity into two parts for a given a ratio, where each part is an integer Share \\( £360 \\) in the ratio \\( 2: 7 \\) \\( £ 60: £ 300 \\)"
},
{
"from": "gpt",
"value": "Estimates shares of a ratio instead of calculating"
}
] |
[
{
"from": "human",
"value": "Divide a quantity into two parts for a given a ratio, where each part is an integer Share \\( £360 \\) in the ratio \\( 2: 7 \\) \\( £ 180: £ 51 \\)"
},
{
"from": "gpt",
"value": "Divides total amount by each side of the ratio instead of dividing by the sum of the pa... |
[
{
"from": "human",
"value": "Divide a quantity into two parts for a given a ratio, where each part is an integer Share \\( £360 \\) in the ratio \\( 2: 7 \\) \\( £ 100: £ 160 \\)"
},
{
"from": "gpt",
"value": "Estimates shares of a ratio instead of calculating"
}
] |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form a step structure. The base of the shape is horizontal and is... |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form a step structure. The base of the shape is horizontal and is... |
[
{
"from": "human",
"value": "Calculate the perimeter of a rectilinear shape by adding lengths expressed in the same units What is the perimeter of this composite shape made from rectangles? ![A composite shape made from three rectangles that form a step structure. The base of the shape is horizontal and is... |
[
{
"from": "human",
"value": "Convert from improper fractions to mixed number fractions Convert \\( \\frac{11}{5} \\) to a mixed number. \\( 2 \\frac{1}{11} \\)"
},
{
"from": "gpt",
"value": "Uses the numerator of an improper fraction as the denominator of the equivalent mixed number"
}
] |
[
{
"from": "human",
"value": "Convert from improper fractions to mixed number fractions Convert \\( \\frac{11}{5} \\) to a mixed number. \\( \\frac{33}{15} \\)"
},
{
"from": "gpt",
"value": "Finds an equivalent improper fraction when asked for a mixed number"
}
] |
[
{
"from": "human",
"value": "Convert from improper fractions to mixed number fractions Convert \\( \\frac{11}{5} \\) to a mixed number. \\( 2 \\) remainder \\( 1 \\)"
},
{
"from": "gpt",
"value": "Does not understand that a remainder can be written as a fraction"
}
] |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this parallelogram?\n ![Parallelogram with base length 5cm, perpendicular height 4cm, and slant length 6cm.]() \\( 10 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this parallelogram?\n ![Parallelogram with base length 5cm, perpendicular height 4cm, and slant length 6cm.]() \\( 120 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this parallelogram?\n ![Parallelogram with base length 5cm, perpendicular height 4cm, and slant length 6cm.]() \\( 30 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Convert integer percentages with 1 digit to decimals How do you write \\( 2 \\% \\) as a decimal? \\( 0.2 \\)"
},
{
"from": "gpt",
"value": "Divided by 10 rather than 100"
}
] |
[
{
"from": "human",
"value": "Convert integer percentages with 1 digit to decimals How do you write \\( 2 \\% \\) as a decimal? \\( 2.0 \\)"
},
{
"from": "gpt",
"value": "Does not understand a percentage is out of 100"
}
] |
[
{
"from": "human",
"value": "Convert integer percentages with 1 digit to decimals How do you write \\( 2 \\% \\) as a decimal? \\( 200 \\)"
},
{
"from": "gpt",
"value": "Multiplied by 100 rather than divided by 100"
}
] |
[
{
"from": "human",
"value": "Read a decimal on a scale where the required measurement is marked by a dash between two numbers ![A number line between 0 and 1 split into 5 parts with a red arrow pointing to the marker representing the value 0.6]() What number is the arrow pointing to? \\( 0.3 \\)"
},
{
... |
[
{
"from": "human",
"value": "Find the lower bound of a number rounded to 2 decimal places A number, \\( n \\), has been rounded to \\( 2 \\) decimal places to give \\( \\mathbf{4 . 0 0} \\)\nWhat is the smallest \\( n \\) can be? \\( 3.9 \\)"
},
{
"from": "gpt",
"value": "Gives a rounded whole n... |
[
{
"from": "human",
"value": "Find the lower bound of a number rounded to 2 decimal places A number, \\( n \\), has been rounded to \\( 2 \\) decimal places to give \\( \\mathbf{4 . 0 0} \\)\nWhat is the smallest \\( n \\) can be? \\( 3.99 \\)"
},
{
"from": "gpt",
"value": "Gives a rounded whole ... |
[
{
"from": "human",
"value": "Find the lower bound of a number rounded to 2 decimal places A number, \\( n \\), has been rounded to \\( 2 \\) decimal places to give \\( \\mathbf{4 . 0 0} \\)\nWhat is the smallest \\( n \\) can be? \\( 3.9995 \\)"
},
{
"from": "gpt",
"value": "Does not understand ... |
[
{
"from": "human",
"value": "Work out the size of each interior angle in a regular polygon What is the size of each interior angle in a regular hexagon? \\( 60^{\\degree} \\)"
},
{
"from": "gpt",
"value": "Thinks the interior angle of a regular polygon is 10n"
}
] |
[
{
"from": "human",
"value": "Work out the size of each interior angle in a regular polygon What is the size of each interior angle in a regular hexagon? \\( 135^{\\degree} \\)"
},
{
"from": "gpt",
"value": "Believes you add 2 instead of subtracting 2 to the numbers of sides when finding total in... |
[
{
"from": "human",
"value": "Find missing angles in a parallelogram What is the size of angle \\( q \\) ? ![A parallelogram with an angle of 120 degrees in the top left corner find the angle q which is opposite in the bottom right corner of the shape.]() \\( 60^{\\circ} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Find missing angles in a parallelogram What is the size of angle \\( q \\) ? ![A parallelogram with an angle of 120 degrees in the top left corner find the angle q which is opposite in the bottom right corner of the shape.]() Not enough information"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations Tom and Katie are arguing about statements that can be made about the equation on the right. \\( x=y-4 \\) Tom says this is always true: \\( 2 x>y-4 \\) \nKatie says this is always true: \\( x>y-5 \\)\nWho is correct? Both T... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Simplify, if possible:\n\\[\nc+a\n\\] \\( c a \\)"
},
{
"from": "gpt",
"value": "Confuses collecting like terms with multiplication"
}
] |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Simplify, if possible:\n\\[\nc+a\n\\] \\( a c \\)"
},
{
"from": "gpt",
"value": "Does not realise that two letters together, or a number and letter tog... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Simplify, if possible:\n\\[\nc+a\n\\] \\( c^{a} \\)"
},
{
"from": "gpt",
"value": "Believes addition of terms and powers of terms are equivalent e.g. a... |
[
{
"from": "human",
"value": "Interpret linear sections of real life graphs The graph on the right shows the mass of sand in a bucket over time\n\nWhat might the horizontal section represent? ![A graph with time (secs) on the horizontal axis and mass (g) on the vertical axis. The graph starts at the origin, ... |
[
{
"from": "human",
"value": "Interpret linear sections of real life graphs The graph on the right shows the mass of sand in a bucket over time\n\nWhat might the horizontal section represent? ![A graph with time (secs) on the horizontal axis and mass (g) on the vertical axis. The graph starts at the origin, ... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{1-t}{t-1} \\) \\( t \\)"
},
{
"from": "gpt",
"value": "Incorrectly cancels what they believe is a factor in algebraic fractions"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{1-t}{t-1} \\) \\( 1 \\)"
},
{
"from": "gpt",
"value": "Incorrectly cancels what they believe is a factor in algebraic fractions"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following, if possible: \\( \\frac{1-t}{t-1} \\) Does not simplify"
},
{
"from": "gpt",
"value": "Does not recognise when one part of a fraction is the negative of the other"
}
] |
[
{
"from": "human",
"value": "Round numbers to two decimal places What is \\( \\mathbf{3 . 5 1 6 3} \\) rounded to \\( 2 \\) decimal places? \\( 3.51 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round numbers to two decimal places What is \\( \\mathbf{3 . 5 1 6 3} \\) rounded to \\( 2 \\) decimal places? \\( 4.51 \\)"
},
{
"from": "gpt",
"value": "Rounds incorrectly by changing multiple place values"
}
] |
[
{
"from": "human",
"value": "Round numbers to two decimal places What is \\( \\mathbf{3 . 5 1 6 3} \\) rounded to \\( 2 \\) decimal places? \\( 4.52 \\)"
},
{
"from": "gpt",
"value": "Rounds incorrectly by changing multiple place values"
}
] |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Convert \\( \\frac{3}{20} \\) into a decimal \\( 0.3 \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by using only the numerator after the decimal point"
}
] |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Convert \\( \\frac{3}{20} \\) into a decimal \\( 3.20 \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by placing a decimal point between the numerator and denominator"
}
] |
[
{
"from": "human",
"value": "Interpret a pictogram involving fractions of symbols This pictogram shows the different types of music Bob has in his music collection.\n\nHow many Blues CDs does Bob have? ![A pictogram showing the number of CDs Bob has in his musical collection. Pop has 3 and a half symbols, r... |
[
{
"from": "human",
"value": "Interpret a pictogram involving fractions of symbols This pictogram shows the different types of music Bob has in his music collection.\n\nHow many Blues CDs does Bob have? ![A pictogram showing the number of CDs Bob has in his musical collection. Pop has 3 and a half symbols, r... |
[
{
"from": "human",
"value": "Shade percentages of a shape where the percent is an integer How many rectangles would you need to shade so that \\( 22 \\% \\) of this shape is shaded? \\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}\n\\hline & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\spa... |
[
{
"from": "human",
"value": "Shade percentages of a shape where the percent is an integer How many rectangles would you need to shade so that \\( 22 \\% \\) of this shape is shaded? \\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}\n\\hline & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\spa... |
[
{
"from": "human",
"value": "Shade percentages of a shape where the percent is an integer How many rectangles would you need to shade so that \\( 22 \\% \\) of this shape is shaded? \\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}\n\\hline & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\space\\) & \\(\\spa... |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 1 decimal place What is \\( \\frac{3}{5} \\) as a decimal? \\( 0.5 \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by using the denominator after the decimal point"
}
] |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 1 decimal place What is \\( \\frac{3}{5} \\) as a decimal? \\( 0.3 \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by using only the numerator after the decimal point"
}
] |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 1 decimal place What is \\( \\frac{3}{5} \\) as a decimal? \\( 0.35 \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by placing all values of the fraction after the decimal point"
}
] |
[
{
"from": "human",
"value": "Given the area of a trapezium, calculate a missing dimension The area of this trapezium is\n\\(\n30 \\mathrm{~cm}^{2}\n\\)\nWhat measurement should replace the star? ![A trapezium with 8cm and a star on the parallel sides, and the perpendicular height is 5cm.]() \\( 6 \\mathrm{~... |
[
{
"from": "human",
"value": "Given the area of a trapezium, calculate a missing dimension The area of this trapezium is\n\\(\n30 \\mathrm{~cm}^{2}\n\\)\nWhat measurement should replace the star? ![A trapezium with 8cm and a star on the parallel sides, and the perpendicular height is 5cm.]() \\( 3.75 \\mathr... |
[
{
"from": "human",
"value": "Given the area of a trapezium, calculate a missing dimension The area of this trapezium is\n\\(\n30 \\mathrm{~cm}^{2}\n\\)\nWhat measurement should replace the star? ![A trapezium with 8cm and a star on the parallel sides, and the perpendicular height is 5cm.]() Not enough infor... |
[
{
"from": "human",
"value": "Given information about one part, work out other parts The ratio of adults to children at a party is \\( 1\\;: 4 \\)\nThere are \\( 20 \\) adults.\nHow many children are there? \\( 5 \\)"
},
{
"from": "gpt",
"value": "Mixes up sides of a ratio"
}
] |
[
{
"from": "human",
"value": "Given information about one part, work out other parts The ratio of adults to children at a party is \\( 1\\;: 4 \\)\nThere are \\( 20 \\) adults.\nHow many children are there? \\( 20 \\)"
},
{
"from": "gpt",
"value": "Shares equally instead of in given ratio"
}
] |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{24}{x}=6\n\\)\n\nTom says a correct next line of working could be: \\( 24=6 x \\) \n\nKatie says a correct next line of working coul... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{24}{x}=6\n\\)\n\nTom says a correct next line of working could be: \\( 24=6 x \\) \n\nKatie says a correct next line of working coul... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Tom and Katie are discussing how to solve:\n\\(\n\\frac{24}{x}=6\n\\)\n\nTom says a correct next line of working could be: \\( 24=6 x \\) \n\nKatie says a correct next line of working coul... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, involving positive decimals Tom and Katie are discussing how to solve:\n\\(\\frac{3 x}{2}+1=1.6\\)\n\nTom says a correct next line of working could be: \\( \\frac{3 x}{2}=0.6 \\)\n\nKatie says a correct ne... |
[
{
"from": "human",
"value": "Solve three or more step linear equations, with the variable on one side, involving positive decimals Tom and Katie are discussing how to solve:\n\\(\\frac{3 x}{2}+1=1.6\\)\n\nTom says a correct next line of working could be: \\( \\frac{3 x}{2}=0.6 \\)\n\nKatie says a correct ne... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie are discussing written division strategies.\n\nTom says \\( 918 \\div 34=934 \\div 18 \\)\n\nKatie says \\( 918 \\div 34=34 \\div 918 \\)\n\nWho is correct? Only Katie"
},
{
"from": "gpt",
"value": "Believes ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object Which is the correct point for E when reflected in the line \\( x=-1 \\) ? ![A set of axes: x-axis from -5 to 5, ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object Which is the correct point for E when reflected in the line \\( x=-1 \\) ? ![A set of axes: x-axis from -5 to 5, ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object Which is the correct point for E when reflected in the line \\( x=-1 \\) ? ![A set of axes: x-axis from -5 to 5, ... |
[
{
"from": "human",
"value": "Multiply algebraic terms, involving non-linear versions of the same letter (e.g. 4a2 x 2a) Which of the following expressions is equivalent to:\n\\(\n\\left(2 p^{2}\\right)^{3}\n\\) \\( 8 p^{2} \\)"
},
{
"from": "gpt",
"value": "Thinks that when raising a variable wi... |
[
{
"from": "human",
"value": "Recognise perpendicular lines Tom and Katie are discussing this pair of lines\nTom says they are equal length\nKatie says they are perpendicular\nWho do you agree with? ![Two blue lines, each with a little red line marked across them. The blue lines don't touch each other, but t... |
[
{
"from": "human",
"value": "Recognise perpendicular lines Tom and Katie are discussing this pair of lines\nTom says they are equal length\nKatie says they are perpendicular\nWho do you agree with? ![Two blue lines, each with a little red line marked across them. The blue lines don't touch each other, but t... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is add one third, and the output is 7]() What is the input of this function machine? \\( 7 \\frac{1}{3} \\)"
},
{
"from": "gpt",
"value": "When finding an input of a f... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is add one third, and the output is 7]() What is the input of this function machine? \\( \\frac{7}{3} \\)"
},
{
"from": "gpt",
"value": "Thinks the inverse of addition... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![Image of a function machine. The function is add one third, and the output is 7]() What is the input of this function machine? \\( 21 \\)"
},
{
"from": "gpt",
"value": "Thinks the inverse of addition is divisi... |
[
{
"from": "human",
"value": "Carry out division problems involving one negative integer \\( n \\times 5 \\geq \\frac{n}{5} \\) If \\( n \\) can represent any number, is the statement above... always true"
},
{
"from": "gpt",
"value": "Assumes a fact without considering enough examples"
}
] |
[
{
"from": "human",
"value": "Carry out division problems involving one negative integer \\( n \\times 5 \\geq \\frac{n}{5} \\) If \\( n \\) can represent any number, is the statement above... never true"
},
{
"from": "gpt",
"value": "Assumes a fact without considering enough examples"
}
] |
[
{
"from": "human",
"value": "Substitute positive non-integer values into expressions involving no powers or roots Which of the following statements is true when \\( n=1.5 \\) ? \\( 5 n<n+5 \\)"
},
{
"from": "gpt",
"value": "Mixes up greater than and less than symbols"
}
] |
[
{
"from": "human",
"value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-3>p-1\\) \\( p<-4 \\)"
},
{
"from": "gpt",
"value": "Thinks subtracting a negative makes your answer smaller"
}
] |
[
{
"from": "human",
"value": "Solve one-step linear inequalities in one variable where the variable appears on one side of the equation Solve the inequality:\n\\(-3>p-1\\) \\( p>-2 \\)"
},
{
"from": "gpt",
"value": "Believes the sides of an inequality can be switched without changing the directio... |
[
{
"from": "human",
"value": "Multiply two decimals together with the same number of decimal places \\( 0.6 \\times 0.4= \\) \\( 1 \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiplies"
}
] |
[
{
"from": "human",
"value": "Multiply two decimals together with the same number of decimal places \\( 0.6 \\times 0.4= \\) \\( 2.4 \\)"
},
{
"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 the same number of decimal places \\( 0.6 \\times 0.4= \\) \\( 0.024 \\)"
},
{
"from": "gpt",
"value": "When multiplying decimals, divides by the wrong power of 10 when reinserting the decimal"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Write the following as simply as possible: \\( \\frac{x^{2}-1}{x+1} \\) \\( x \\)"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Write the following as simply as possible: \\( \\frac{x^{2}-1}{x+1} \\) None of the options"
},
{
"from": "gpt",
"value": "Does not recognise difference of two squares"
}
] |
[
{
"from": "human",
"value": "Solve length problems involving similar shapes where the missing length is the shorter one Rectangle \\( \\mathrm{P} \\) has been enlarged by a scale factor of \\( 1.5 \\) to give rectangle \\( \\mathrm{Q} \\).\n\nWhat length should replace the star? ![Two rectangles, the smalle... |
[
{
"from": "human",
"value": "Solve length problems involving similar shapes where the missing length is the shorter one Rectangle \\( \\mathrm{P} \\) has been enlarged by a scale factor of \\( 1.5 \\) to give rectangle \\( \\mathrm{Q} \\).\n\nWhat length should replace the star? ![Two rectangles, the smalle... |
[
{
"from": "human",
"value": "Solve quadratic equations using factorisation in the form x(x + b) Jo and Paul are arguing about how to solve this equation:\n\\(\nx^{2}-9 x=0\n\\)\n\nJo says one solution is \\( x=0 \\)\n\nPaul says one solution is \\( x=3 \\)\nWho is correct? Only\nPaul"
},
{
"from": ... |
[
{
"from": "human",
"value": "Identify the regions on a double Venn diagram given in words \\( 60 \\) people completed an online survey about the car they own.\nThe results are shown in the Venn Diagram.\n\nHow many people own a \\( 4 \\times 4 \\) ? ![A Venn diagram with two circles labelled Owns a 4x4 and ... |
[
{
"from": "human",
"value": "Identify the regions on a double Venn diagram given in words \\( 60 \\) people completed an online survey about the car they own.\nThe results are shown in the Venn Diagram.\n\nHow many people own a \\( 4 \\times 4 \\) ? ![A Venn diagram with two circles labelled Owns a 4x4 and ... |
[
{
"from": "human",
"value": "Use brackets to write function machines as calculations Here is a function machine ![Input \\( \\rightarrow-2 \\rightarrow\\times 5 \\rightarrow \\) Output]() The input is \\( 7 \\).\nWhich calculation gives the correct output? \\( 7-2 \\times 5 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Use brackets to write function machines as calculations Here is a function machine ![Input \\( \\rightarrow-2 \\rightarrow\\times 5 \\rightarrow \\) Output]() The input is \\( 7 \\).\nWhich calculation gives the correct output? \\( 7(5-2) \\)"
},
{
"from": "gpt",
"va... |
[
{
"from": "human",
"value": "Use brackets to write function machines as calculations Here is a function machine ![Input \\( \\rightarrow-2 \\rightarrow\\times 5 \\rightarrow \\) Output]() The input is \\( 7 \\).\nWhich calculation gives the correct output? \\( 7 \\times 5-2 \\)"
},
{
"from": "gpt",
... |
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