conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Given a gradient, state the gradient of a line parallel to it A line has a gradient of \\( 5 \\)\n\nA line parallel to this line would have a gradient of... Not enough information"
},
{
"from": "gpt",
"value": "Does not know parallel lines have equal gradients "
}
... |
[
{
"from": "human",
"value": "Divide proper fractions in the form: Fraction ÷ Integer Calculate: \\( \\frac{4}{8} \\div 2 \\) \\( \\frac{2}{4} \\)"
},
{
"from": "gpt",
"value": "When dividing a fraction by an integer, divides both the numerator and denominator by the integer"
}
] |
[
{
"from": "human",
"value": "Divide proper fractions in the form: Fraction ÷ Integer Calculate: \\( \\frac{4}{8} \\div 2 \\) \\( \\frac{4}{4} \\)"
},
{
"from": "gpt",
"value": "When dividing a fraction by an integer, divides the denominator by the integer"
}
] |
[
{
"from": "human",
"value": "Identify a right-angled triangle when presented non-conventionally \\( A B C D \\) is a rectangle.\nWhat type of triangle is triangle \\( \\mathrm{BCD} \\) ? ![Rectangle ABCD with the diagonal shown using a red dotted line]() Scalene"
},
{
"from": "gpt",
"value": "Co... |
[
{
"from": "human",
"value": "Identify a right-angled triangle when presented non-conventionally \\( A B C D \\) is a rectangle.\nWhat type of triangle is triangle \\( \\mathrm{BCD} \\) ? ![Rectangle ABCD with the diagonal shown using a red dotted line]() Isosceles"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "Identify a right-angled triangle when presented non-conventionally \\( A B C D \\) is a rectangle.\nWhat type of triangle is triangle \\( \\mathrm{BCD} \\) ? ![Rectangle ABCD with the diagonal shown using a red dotted line]() Equilateral"
},
{
"from": "gpt",
"value":... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left has \"input\" written above it and \"5a + 2\" written inside it. The middle rectangle... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left has \"input\" written above it and \"5a + 2\" written inside it. The middle rectangle... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left has \"input\" written above it and \"5a + 2\" written inside it. The middle rectangle... |
[
{
"from": "human",
"value": "Represent an equation using a bar model ![Tom and Katie are discussing bar models.]() Tom says this bar model represents \\( 2 x \\) \\begin{tabular}{|l|l|}\n\\hline \\( 2 \\) & \\( x \\) \\\\\n\\hline\n\\end{tabular} Katie says this bar model represents \\( 2 x \\) \\begin{tabu... |
[
{
"from": "human",
"value": "Represent an equation using a bar model ![Tom and Katie are discussing bar models.]() Tom says this bar model represents \\( 2 x \\) \\begin{tabular}{|l|l|}\n\\hline \\( 2 \\) & \\( x \\) \\\\\n\\hline\n\\end{tabular} Katie says this bar model represents \\( 2 x \\) \\begin{tabu... |
[
{
"from": "human",
"value": "Represent an equation using a bar model ![Tom and Katie are discussing bar models.]() Tom says this bar model represents \\( 2 x \\) \\begin{tabular}{|l|l|}\n\\hline \\( 2 \\) & \\( x \\) \\\\\n\\hline\n\\end{tabular} Katie says this bar model represents \\( 2 x \\) \\begin{tabu... |
[
{
"from": "human",
"value": "Calculate the whole amount, given a fraction of the amount What should replace the star?\n\\(\n\\frac{1}{3} \\text { of } \\color{yellow}\\bigstar\\)\\(=27\n\\) \\( 61 \\)"
},
{
"from": "gpt",
"value": "When two digits multiply to 10 or more during a multiplication p... |
[
{
"from": "human",
"value": "Calculate the whole amount, given a fraction of the amount What should replace the star?\n\\(\n\\frac{1}{3} \\text { of } \\color{yellow}\\bigstar\\)\\(=27\n\\) \\( 9 \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. m... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression input \\(\\Rightarrow-3 \\Rightarrow \\times 3 \\Rightarrow 9a-21 \\) What is the input of this function machine? \\( 3 a-18 \\)"
},
{
"from": "gpt",
"value": "Does not apply the ... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression input \\(\\Rightarrow-3 \\Rightarrow \\times 3 \\Rightarrow 9a-21 \\) What is the input of this function machine? \\( 3 a-21 \\)"
},
{
"from": "gpt",
"value": "Has completed only ... |
[
{
"from": "human",
"value": "Determine the input of a double function machine used to create an algebraic expression input \\(\\Rightarrow-3 \\Rightarrow \\times 3 \\Rightarrow 9a-21 \\) What is the input of this function machine? \\( 3 a-7 \\)"
},
{
"from": "gpt",
"value": "Has completed only o... |
[
{
"from": "human",
"value": "Convert from years to days \\( 2 \\) leap years \\( =\\square \\) days \\( 728 \\)"
},
{
"from": "gpt",
"value": "Does not know how many days are in a leap year"
}
] |
[
{
"from": "human",
"value": "Convert from years to days \\( 2 \\) leap years \\( =\\square \\) days \\( 730 \\)"
},
{
"from": "gpt",
"value": "Does not know how many days are in a leap year"
}
] |
[
{
"from": "human",
"value": "Divide decimals by 1000 What is the value of:\n\\[\n23.04 \\div 1000\n\\] \\( 0.2304 \\)"
},
{
"from": "gpt",
"value": "When dividing involving a power of 10, gives an answer 10 times bigger than it should be"
}
] |
[
{
"from": "human",
"value": "Divide decimals by 1000 What is the value of:\n\\[\n23.04 \\div 1000\n\\] \\( 0.0002304 \\)"
},
{
"from": "gpt",
"value": "When dividing a decimal by a power of 10 adds zeroes to start of the number ignoring the placement of the initial decimal point"
}
] |
[
{
"from": "human",
"value": "Divide decimals by 1000 What is the value of:\n\\[\n23.04 \\div 1000\n\\] \\( 0.002304 \\)"
},
{
"from": "gpt",
"value": "When dividing involving a power of 10, gives an answer 10 times smaller than it should be"
}
] |
[
{
"from": "human",
"value": "Multiply 3 digit integers by 1 digit integers using the grid method \\( 427 \\times 6= \\) \\( 240+120+42 \\)"
},
{
"from": "gpt",
"value": "When multiplying multiples of ten and the answer requires an extra digit, leaves off that extra digit"
}
] |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which answer shows the following calculation using the correct algebraic convention?\n\\(\nb \\div a\n\\) \\( a \\div b \\)"
},
{
"from": "gpt",
"value": "Believes division is commutative "
}
] |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which answer shows the following calculation using the correct algebraic convention?\n\\(\nb \\div a\n\\) \\( \\frac{a}{b} \\)"
},
{
"from": "gpt",
"value": "Believes that a fraction means dividing the den... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which answer shows the following calculation using the correct algebraic convention?\n\\(\nb \\div a\n\\) \\( a b \\)"
},
{
"from": "gpt",
"value": "Thinks that we can remove a division symbol and just wri... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape In which region would a rectangle belong? ![Venn diagram with two circles labelled with 'exactly two lines of symmetry' and 'rotational symmetry of order 2'. A is in the only exactly two lines of symmetry region, B is in the i... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape In which region would a rectangle belong? ![Venn diagram with two circles labelled with 'exactly two lines of symmetry' and 'rotational symmetry of order 2'. A is in the only exactly two lines of symmetry region, B is in the i... |
[
{
"from": "human",
"value": "Identify non-unit fractions when part of a shape What fraction of the rectangle is shaded? ![A rectangle split into 10 equal parts with 3 parts shaded in yellow]() \\( 3 \\)"
},
{
"from": "gpt",
"value": "Does not know how to write a fraction - just given an integer ... |
[
{
"from": "human",
"value": "Identify non-unit fractions when part of a shape What fraction of the rectangle is shaded? ![A rectangle split into 10 equal parts with 3 parts shaded in yellow]() \\( \\frac{3}{7} \\)"
},
{
"from": "gpt",
"value": "Denominator used for other parts rather than total ... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems up to 100 What should replace the star? \\( \\bigstar-37=38 \\) \\( 1 \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. missing number problems), does the original op... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems up to 100 What should replace the star? \\( \\bigstar-37=38 \\) \\( -1 \\)"
},
{
"from": "gpt",
"value": "When solving a problem that requires an inverse operation (e.g. missing number problems), does the original o... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems up to 100 What should replace the star? \\( \\bigstar-37=38 \\) \\( 65 \\)"
},
{
"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": "Represent written scenarios as ratios For every \\( 5 \\) marbles Karen has, Marty has three times as many.\n\nWrite the number of marbles Karen and Marty have as a ratio, with Karen's part first. None of these"
},
{
"from": "gpt",
"value": "Does not realise ratio in... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle where the angle is 52 degrees, the side next to this is p and the side opposite is 6cm.]()... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle where the angle is 52 degrees, the side next to this is p and the side opposite is 6cm.]()... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( p \\) ? ![A right-angled triangle where the angle is 52 degrees, the side next to this is p and the side opposite is 6cm.]()... |
[
{
"from": "human",
"value": "Represent a linear inequality with a single tail on a numberline Which of the following diagrams represents \\( x>-1 \\) ? ![Image of a number line. At -1 there is an open, unfilled circle drawn, with a arrow pointing to the left, towards the negative numbers in the number line.... |
[
{
"from": "human",
"value": "Represent a linear inequality with a single tail on a numberline Which of the following diagrams represents \\( x>-1 \\) ? ![Image of a number line. At -1 there is a red, filled circle drawn, with a arrow pointing to the right, towards the higher positive numbers in the number l... |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 \\( 130 \\% \\) of \\( 40= \\) \\( 12 \\)"
},
{
"from": "gpt",
"value": "Found the percentage but forgot to add to 100%"
}
] |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 \\( 130 \\% \\) of \\( 40= \\) \\( 170 \\)"
},
{
"from": "gpt",
"value": "Added the values together instead of finding the percentage"
}
] |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 \\( 130 \\% \\) of \\( 40= \\) Impossible as you cannot have a percentage greater than \\( 100 \\)"
},
{
"from": "gpt",
"value": "Does not understand that you can have percentages greate... |
[
{
"from": "human",
"value": "Simplify fractions that simplify to a unit fraction Write the following fraction in its simplest form: \\( 3 \\frac{7}{21} \\) \\( 1 \\frac{1}{3} \\)"
},
{
"from": "gpt",
"value": "Simplifies integers when simplifying a mixed number"
}
] |
[
{
"from": "human",
"value": "Simplify fractions that simplify to a unit fraction Write the following fraction in its simplest form: \\( 3 \\frac{7}{21} \\) Cannot be simplified"
},
{
"from": "gpt",
"value": "Believes mixed numbers cannot be simplified"
}
] |
[
{
"from": "human",
"value": "Read a fraction on a scale where the required number is marked by a dash between two numbers What fraction should replace the star? ![A number line marked with 1/4, 2/4, 3/4, 4/4, 5/4. The star is halfway between 2/4 and 3/4.]() None of these"
},
{
"from": "gpt",
"va... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table This table shows the number of pets a group of students owns.\nIf calculating the mean number of pets owned, what would replace the star? \\begin{tabular}{|c|c|c|}\n\\hline Number of pets & Frequency & \\\\\n\\hline \\( 0 \\) & \\( 9 \\)... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table This table shows the number of pets a group of students owns.\nIf calculating the mean number of pets owned, what would replace the star? \\begin{tabular}{|c|c|c|}\n\\hline Number of pets & Frequency & \\\\\n\\hline \\( 0 \\) & \\( 9 \\)... |
[
{
"from": "human",
"value": "Calculate the mean from a frequency table This table shows the number of pets a group of students owns.\nIf calculating the mean number of pets owned, what would replace the star? \\begin{tabular}{|c|c|c|}\n\\hline Number of pets & Frequency & \\\\\n\\hline \\( 0 \\) & \\( 9 \\)... |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed What number should replace the star? \\begin{tabular}{cccc}\n\\(\\space\\) & \\( 9 \\) & \\( 3 \\) & \\( 5 \\) & \\( 2 \\) \\\\\n\\(-\\) & \\(4\\) & \\(5\\) & \\(7\\) & \\(\\bigstar\\)\\\\\n\\(\\spa... |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed What number should replace the star? \\begin{tabular}{cccc}\n\\(\\space\\) & \\( 9 \\) & \\( 3 \\) & \\( 5 \\) & \\( 2 \\) \\\\\n\\(-\\) & \\(4\\) & \\(5\\) & \\(7\\) & \\(\\bigstar\\)\\\\\n\\(\\spa... |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed What number should replace the star? \\begin{tabular}{cccc}\n\\(\\space\\) & \\( 9 \\) & \\( 3 \\) & \\( 5 \\) & \\( 2 \\) \\\\\n\\(-\\) & \\(4\\) & \\(5\\) & \\(7\\) & \\(\\bigstar\\)\\\\\n\\(\\spa... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, involving positive decimals Solve the equation:\n\\[\n0.45=0.3 p\n\\] \\( p=\\frac{2}{3} \\)"
},
{
"from": "gpt",
"value": "Believes division is commutative "
}
] |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring multiplication or division, involving positive decimals Solve the equation:\n\\[\n0.45=0.3 p\n\\] \\( p=0.135 \\)"
},
{
"from": "gpt",
"value": "When solving an equation, multiplies instead of dividing "
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the triangle? ![The image shows the structure of the quadratic formula. It says pl... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Vera wants to solve this equation using the quadratic formula.\n\\(\nh^{2}+4=5 h\n\\)\n\nWhat should replace the triangle? ![The image shows the structure of the quadratic formula. It says pl... |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 4.72-3.1 \\) What should replace the star? \\( 4.41 \\)"
},
{
"from": "gpt",
"value": "Hasn't lined up the place value columns when writing out the calculation"
}
] |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 4.72-3.1 \\) What should replace the star? \\( 1.71 \\)"
},
{
"from": "gpt",
"value": "Hasn't lined up the place value columns when writing out the calculation"
}
] |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 4.72-3.1 \\) What should replace the star? \\( 7.82 \\)"
},
{
"from": "gpt",
"value": "Adds instead of subtracts"
}
] |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the square root of nine? \\( 4.5 \\)"
},
{
"from": "gpt",
"value": "Halves when asked to find the square root"
}
] |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the square root of nine? \\( 81 \\)"
},
{
"from": "gpt",
"value": "Squares when asked to find the square root"
}
] |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the square root of nine? \\( 18 \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring and multiplying by 2 or doubling"
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using completing the square in the form (x + q)² + r One of these equations has no real solutions\nWhich is it? \\( (w-4)^{2}=0 \\)"
},
{
"from": "gpt",
"value": "Believes 0 has no square root"
}
] |
[
{
"from": "human",
"value": "Compare relative frequencies in order to determine which prediction is likely to be more reliable A vegetarian restaurant wants to know people's eating habits\n\\( 50 \\) people in Town \\( A \\) are asked if they eat meat. \\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{... |
[
{
"from": "human",
"value": "Compare relative frequencies in order to determine which prediction is likely to be more reliable A vegetarian restaurant wants to know people's eating habits\n\\( 50 \\) people in Town \\( A \\) are asked if they eat meat. \\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{... |
[
{
"from": "human",
"value": "Compare relative frequencies in order to determine which prediction is likely to be more reliable A vegetarian restaurant wants to know people's eating habits\n\\( 50 \\) people in Town \\( A \\) are asked if they eat meat. \\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{... |
[
{
"from": "human",
"value": "Calculate percentage of an amount using a calculator where the percent is an integer What should replace the star? ![A percentage number line representing the value 630 with a star above the 84% mark]() Use your calculator, if needed, and give your answer to \\( 1 \\) decimal pl... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph ![A line graph with title \"Height of rocket\". \nThe x-axis is titled \"Time in seconds\" and the scale is labelled from 0 to 90 seconds in steps of 10 seconds.\nThe y-axis is titled \"Height in metres\" and the scale is labelled fro... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph ![A line graph with title \"Height of rocket\". \nThe x-axis is titled \"Time in seconds\" and the scale is labelled from 0 to 90 seconds in steps of 10 seconds.\nThe y-axis is titled \"Height in metres\" and the scale is labelled fro... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph ![A line graph with title \"Height of rocket\". \nThe x-axis is titled \"Time in seconds\" and the scale is labelled from 0 to 90 seconds in steps of 10 seconds.\nThe y-axis is titled \"Height in metres\" and the scale is labelled fro... |
[
{
"from": "human",
"value": "Know the equation of the axes What is the equation of the \\( y \\) axis? \\( y=1 \\)"
},
{
"from": "gpt",
"value": "Thinks y =1 is the y axis"
}
] |
[
{
"from": "human",
"value": "Know the equation of the axes What is the equation of the \\( y \\) axis? \\( y=0 \\)"
},
{
"from": "gpt",
"value": "Confuses the equations of vertical and horizontal lines"
}
] |
[
{
"from": "human",
"value": "Know the equation of the axes What is the equation of the \\( y \\) axis? \\( y=x \\)"
},
{
"from": "gpt",
"value": "Thinks x = y is an axis"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest 1000 What is \\( 326 \\) rounded to the nearest \\( 1000 \\) ? \\( 1000 \\)"
},
{
"from": "gpt",
"value": "Rounds up instead of down"
}
] |
[
{
"from": "human",
"value": "Round integers to the nearest 1000 What is \\( 326 \\) rounded to the nearest \\( 1000 \\) ? \\( 500 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too little)"
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using balancing One of these equations has no real solutions.\nWhich is it? \\( t^{2}-45=-45 \\)"
},
{
"from": "gpt",
"value": "Believes 0 is not a real solution to an equation"
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using balancing One of these equations has no real solutions.\nWhich is it? \\( t^{3}=-45 \\)"
},
{
"from": "gpt",
"value": "Believes a number raised to a power will always give a positive answer"
}
] |
[
{
"from": "human",
"value": "Select the correct answer to an iteration question to the required degree of accuracy The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nTo find the value of \\( x \\), Sally uses:\n\\(x_{n+1}=\\frac{8}{9}-\\frac{x^{3}{ }_{n}}{9}\\)\n\nIf \\( x_{0}=0 \\), ... |
[
{
"from": "human",
"value": "Select the correct answer to an iteration question to the required degree of accuracy The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nTo find the value of \\( x \\), Sally uses:\n\\(x_{n+1}=\\frac{8}{9}-\\frac{x^{3}{ }_{n}}{9}\\)\n\nIf \\( x_{0}=0 \\), ... |
[
{
"from": "human",
"value": "Select the correct answer to an iteration question to the required degree of accuracy The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nTo find the value of \\( x \\), Sally uses:\n\\(x_{n+1}=\\frac{8}{9}-\\frac{x^{3}{ }_{n}}{9}\\)\n\nIf \\( x_{0}=0 \\), ... |
[
{
"from": "human",
"value": "Recall and use the intersecting diagonals properties of a rectangle The diagonals of a rectangle with different length sides \\(_____________\\) intersect at right-angles ![A rectangle]() always"
},
{
"from": "gpt",
"value": "Does not know the properties of a rectang... |
[
{
"from": "human",
"value": "Recall and use the intersecting diagonals properties of a rectangle The diagonals of a rectangle with different length sides \\(_____________\\) intersect at right-angles ![A rectangle]() sometimes"
},
{
"from": "gpt",
"value": "Does not know the properties of a rect... |
[
{
"from": "human",
"value": "Recall and use the intersecting diagonals properties of a rectangle The diagonals of a rectangle with different length sides \\(_____________\\) intersect at right-angles ![A rectangle]() I don't know"
},
{
"from": "gpt",
"value": "Does not know the properties of a r... |
[
{
"from": "human",
"value": "Identify perpendicular lines written in the form y = mx + c Which of the following lines is perpendicular to\n\\[\ny=3 x-2 ?\n\\] \\( y=\\frac{1}{3} x+1 \\)"
},
{
"from": "gpt",
"value": "Believes the gradients of perpendicular lines are reciprocals of the same sign"... |
[
{
"from": "human",
"value": "Identify perpendicular lines written in the form y = mx + c Which of the following lines is perpendicular to\n\\[\ny=3 x-2 ?\n\\] \\( y=3 x+7 \\)"
},
{
"from": "gpt",
"value": "Confuses the meaning of parallel and perpendicular"
}
] |
[
{
"from": "human",
"value": "Given the area of a parallelogram, calculate a missing dimension The area of this parallelogram is \\( 24 \\mathrm{~cm}^{2} \\)\n\nWhat measurement should replace the star? ![Parallelogram with base length 6cm and the perpendicular height has a star symbol.]() \\( 2 \\mathrm{~cm... |
[
{
"from": "human",
"value": "Given the area of a parallelogram, calculate a missing dimension The area of this parallelogram is \\( 24 \\mathrm{~cm}^{2} \\)\n\nWhat measurement should replace the star? ![Parallelogram with base length 6cm and the perpendicular height has a star symbol.]() \\( 8 \\mathrm{~cm... |
[
{
"from": "human",
"value": "Given the area of a parallelogram, calculate a missing dimension The area of this parallelogram is \\( 24 \\mathrm{~cm}^{2} \\)\n\nWhat measurement should replace the star? ![Parallelogram with base length 6cm and the perpendicular height has a star symbol.]() Not enough informa... |
[
{
"from": "human",
"value": "Solve quadratic inequalities from the graph of the quadratic Using the graph of\n\\(\ny=x^{2}-x-6\n\\)\n\nWhat is the correct way to write the solution to\n\\(\ny=x^{2}-x-6 \\geq 0 ?\n\\) ![The is a parabolic graph that crosses the x axis at the points (-2,0) and (3,0) and cross... |
[
{
"from": "human",
"value": "Solve quadratic inequalities from the graph of the quadratic Using the graph of\n\\(\ny=x^{2}-x-6\n\\)\n\nWhat is the correct way to write the solution to\n\\(\ny=x^{2}-x-6 \\geq 0 ?\n\\) ![The is a parabolic graph that crosses the x axis at the points (-2,0) and (3,0) and cross... |
[
{
"from": "human",
"value": "Solve quadratic inequalities from the graph of the quadratic Using the graph of\n\\(\ny=x^{2}-x-6\n\\)\n\nWhat is the correct way to write the solution to\n\\(\ny=x^{2}-x-6 \\geq 0 ?\n\\) ![The is a parabolic graph that crosses the x axis at the points (-2,0) and (3,0) and cross... |
[
{
"from": "human",
"value": "Fill in regions of a double Venn diagram with numbers from given information In which region would \\( \\mathbf{1 5} \\) belong? ![A Venn diagram with two sets, one labelled Square number and one labelled Odd number. Square Number without the intersection is labelled A, Odd Numb... |
[
{
"from": "human",
"value": "Fill in regions of a double Venn diagram with numbers from given information In which region would \\( \\mathbf{1 5} \\) belong? ![A Venn diagram with two sets, one labelled Square number and one labelled Odd number. Square Number without the intersection is labelled A, Odd Numb... |
[
{
"from": "human",
"value": "Fill in regions of a double Venn diagram with numbers from given information In which region would \\( \\mathbf{1 5} \\) belong? ![A Venn diagram with two sets, one labelled Square number and one labelled Odd number. Square Number without the intersection is labelled A, Odd Numb... |
[
{
"from": "human",
"value": "Order integers with a different number of digits Which of these options show the numbers\n650,312 \n3,506,212\n3,652\n605,321\nin order from smallest to largest? \\( \\begin{array}{l}3,506,212 \\\\ 3,652 \\\\ 605,321 \\\\ 650,312\\end{array} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Order integers with a different number of digits Which of these options show the numbers\n650,312 \n3,506,212\n3,652\n605,321\nin order from smallest to largest? \\( \\begin{array}{l}605,321 \\\\ 3,506,212 \\\\ 650,312 \\\\ 3,652\\end{array} \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Understand inequality notation Which of the following shows \" \\( x \\) is greater than \\( 9 \\) \"? \\( x<9 \\)"
},
{
"from": "gpt",
"value": "Mixes up greater than and less than symbols"
}
] |
[
{
"from": "human",
"value": "Understand inequality notation Which of the following shows \" \\( x \\) is greater than \\( 9 \\) \"? \\( x \\geq 9 \\)"
},
{
"from": "gpt",
"value": "When using inequality notation, thinks \"greater than/less than or equal to\" symbols are instead the \"greater tha... |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure Round this number to \\( 1 \\) significant figure:\n\\( 400099 \\) \\( 500000 \\)"
},
{
"from": "gpt",
"value": "Rounds up instead of down"
}
] |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure Round this number to \\( 1 \\) significant figure:\n\\( 400099 \\) \\( 400100 \\)"
},
{
"from": "gpt",
"value": "Rounded to nearest 100 instead of 1sf"
}
] |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![A graph of a horizontal line going through 3 on the y axis. ]() \\( y=3 x \\)"
},
{
"from": "gpt",
"value": "Includes the x variable when giving the equation of a horizont... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.