conversations listlengths 2 2 |
|---|
[
{
"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}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of wo... |
[
{
"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}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of wo... |
[
{
"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}{3}-5=12\n\\)\n\nTom says a correct next line of working could be: \\( \\frac{x}{3}=17 \\)\n\nKatie says a correct next line of wo... |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.34 \\)"
},
{
"from": "gpt",
"value": "Believes subtraction is commutative "
}
] |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( -0.44 \\)"
},
{
"from": "gpt",
"value": "Believes you subtract the smaller digit from the larger digit in column subtraction, regardless of position"
}
] |
[
{
"from": "human",
"value": "Subtract decimals where the numbers involved have a different number of decimal places \\( 0.26-0.6= \\) \\( 0.2 \\)"
},
{
"from": "gpt",
"value": "When subtracting decimals with a different number of decimal places, lines up the digits incorrectly"
}
] |
[
{
"from": "human",
"value": "Represent positive unit fractions on a number line The probability of picking a green ball is \\( \\frac{1}{5} \\) Where is this value on the probability scale? ![B\nc\nD]() C"
},
{
"from": "gpt",
"value": "Converts a fraction to a decimal by using the denominator af... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subt... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subt... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental subtraction Jo and Paul are discussing mental addition and subtraction strategies.\n\nJo says a good way to add \\( 19 \\) is to add \\( 10 \\), then another \\( 10 \\) and then subtract \\( 1 \\).\n\nPaul says a good way to subt... |
[
{
"from": "human",
"value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people ... |
[
{
"from": "human",
"value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people ... |
[
{
"from": "human",
"value": "Interpret a pictogram involving fractions of symbols ![A pictogram where one smiley face =8 people. Game 1 has 4 faces. Game 2 has 3 faces. Game 3 has 2 faces. Game 4 has 2.75 faces.]() The pictogram shows the number of people who went to watch a netball match.\nHow many people ... |
[
{
"from": "human",
"value": "Solve problems involving converting between fractions, decimals and percentages Jo and Paul are arguing about percentages.\nJo says \\( 52 \\%=0.052 \\)\nPaul says \\( 52 \\%<\\frac{20}{41} \\)\nWho is correct? Only\nJo"
},
{
"from": "gpt",
"value": "Divides by 1000 ... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{2}{12} \\)"
},
{
"from": "gpt",
"value": "Can identify the multiplier used to form an equivalent fraction but does not apply to th... |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{4}{12} \\)"
},
{
"from": "gpt",
"value": "Does not understand equivalent fractions"
}
] |
[
{
"from": "human",
"value": "Identify equivalent fractions when presented as numbers Complete the statement \\( \\frac{4}{6}=\\frac{}{12} \\) \\( \\frac{4}{6}=\\frac{10}{12} \\)"
},
{
"from": "gpt",
"value": "Believes equivalent fractions are formed with addition not multiplication"
}
] |
[
{
"from": "human",
"value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Variable"
},
{
"from": "gpt",
"value": "Confuses a term with a variable"
}
] |
[
{
"from": "human",
"value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Expression"
},
{
"from": "gpt",
"value": "Confuses an expression with a term"
}
] |
[
{
"from": "human",
"value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( 3 g \\) in this: \\( 6-3 g \\) Equation"
},
{
"from": "gpt",
"value": "Confuses a term with an equation"
}
] |
[
{
"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 The triangle is reflected in the \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axe... |
[
{
"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 The triangle is reflected in the \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axe... |
[
{
"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 The triangle is reflected in the \\( y \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of axe... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares ... |
[
{
"from": "human",
"value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 85^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Does not understand that an obtuse angle is between 90 and 180 degrees"
}
] |
[
{
"from": "human",
"value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 270^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Does not understand that an obtuse angle is between 90 and 180 degrees"
}
] |
[
{
"from": "human",
"value": "Identify obtuse angles Which of the following is an obtuse angle? \\( 180^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes 180 degrees is an obtuse angle"
}
] |
[
{
"from": "human",
"value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rhombus"
},
{
"from": "gpt",
"value": "Does not remember that a rhombus has equal sid... |
[
{
"from": "human",
"value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Kite"
},
{
"from": "gpt",
"value": "Does not recognise the properties of a kite"
}
... |
[
{
"from": "human",
"value": "Identify a rectangle when presented non-conventionally What shape do you get if you join up the midpoints of the sides of this shape? ![An irregular quadrilateral drawn on a grid]() Rectangle"
},
{
"from": "gpt",
"value": "Does not know the properties of a rectangle"... |
[
{
"from": "human",
"value": "Convert between m³ and cm³ \\(\n0.7 m^3 =\\bigstar \\,cm^3\n\\)\n\nWhat should replace the star? \\( 70 \\)"
},
{
"from": "gpt",
"value": "Does not cube the conversion factor when converting cubed units"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 100 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too little)"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 120 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round non-integers to the nearest 10 What is \\( \\mathbf{1 2 6 . 0 5} \\) rounded to the nearest ten? \\( 126 \\)"
},
{
"from": "gpt",
"value": "Rounds to the wrong degree of accuracy (rounds too much)"
}
] |
[
{
"from": "human",
"value": "Convert ratios to fractions Kate and Isaac share some yoghurt in the ratio \\( 2: 5 \\).\nKate has \\(_____\\) of the total yoghurt\nWhat fraction completes the sentence? \\( \\frac{2}{5} \\)"
},
{
"from": "gpt",
"value": "When converting ratio to fractions, puts the... |
[
{
"from": "human",
"value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\(... |
[
{
"from": "human",
"value": "Substitute positive non-integer values into formulae involving powers or roots Calculate the displacement \\( (s) \\), of a particle when initial velocity \\( (u)=2.9 \\mathrm{~ms}^{-1} \\), final velocity \\( (v)=3.5 \\mathrm{~ms}^{-1} \\), and the time \\( (t) \\) taken is \\(... |
[
{
"from": "human",
"value": "Convert from years to days How many days in a non-leap year? \\( 350 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 50 weeks in a year"
}
] |
[
{
"from": "human",
"value": "Convert from years to days How many days in a non-leap year? \\( 100 \\)"
},
{
"from": "gpt",
"value": "Does not know how many days are in a leap year"
}
] |
[
{
"from": "human",
"value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( (-7) \\times 2=-14 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying a positive by a negative gives a positive answer"
}
] |
[
{
"from": "human",
"value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times 2=14 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two positives gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Carry out multiplication problems involving two negative integers Which calculation is incorrect? \\( 7 \\times(-2)=-14 \\)"
},
{
"from": "gpt",
"value": "Believes multiplying a positive by a negative gives a positive answer"
}
] |
[
{
"from": "human",
"value": "Know that the probabilities of exhaustive events must sum to 1 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( \\frac{2}{7} \\)"
},
{
"from": "gpt",
"value": "Thinks that probabilities of an ev... |
[
{
"from": "human",
"value": "Know that the probabilities of exhaustive events must sum to 1 The probability of an event occurring is \\( \\frac{2}{7} \\).\n\nWhat is the probability of the event not occurring? \\( 5 \\)"
},
{
"from": "gpt",
"value": "Gives probability as an integer instead of a ... |
[
{
"from": "human",
"value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 8 \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring with dividing by 2"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number \\( (16)^{2}=? \\) \\( 32 \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring and multiplying by 2 or doubling"
}
] |
[
{
"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\\(y=x^{2}+4\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\e... |
[
{
"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\\(y=x^{2}+4\\) \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( -6 \\) \\\\\n\\hline\\( y \\) & \\( \\bigstar \\) \\\\\n\\hline\n\\e... |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 8 \\)"
},
{
"from": "gpt",
"value": "Counts half-squares as full squares when cal... |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 4 \\)"
},
{
"from": "gpt",
"value": "Underestimates the area of shapes when count... |
[
{
"from": "human",
"value": "Calculate the area of a parallelogram where the dimensions are given in the same units What is the area of this shape? ![Parallelogram drawn on square grid with area of 6 squares]() \\( 7 \\)"
},
{
"from": "gpt",
"value": "Counts half-squares as full squares when cal... |
[
{
"from": "human",
"value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( -32 \\)"
},
{
"from": "gpt",
"value": "Mixes up squaring and multiplying by 2 or doubling"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number \\( -(16)^{2}=? \\) \\( 256 \\)"
},
{
"from": "gpt",
"value": "Does not understand that the negative outside the bracket means answer will be negative"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which quadrilateral has the highest order of rotational symmetry? ![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 quadrilateral has the highest order of rotational symmetry? ![Irregular quadrilateral]()"
},
{
"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 quadrilateral has the highest order of rotational symmetry? They each have the same order of rotational symmetry"
},
{
"from": "gpt",
"value": "Believes the number of sides gives the order of rotational symme... |
[
{
"from": "human",
"value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 154 \\)"
},
{
"from": "gpt",
"value": "When reading ... |
[
{
"from": "human",
"value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 170 \\)"
},
{
"from": "gpt",
"value": "When reading ... |
[
{
"from": "human",
"value": "Read an integer on a scale where the required measurement is marked by a dash between two numbers What number is the arrow pointing to? ![A number line from 100 to 200 with an arrow pointing to the value 160]() \\( 152 \\)"
},
{
"from": "gpt",
"value": "When reading ... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m(n+5) \\)"
},
{
"from": "gpt",
"value": "Does not account ... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention Which of the following is the correct way of writing:\n\n\\( m \\) multiplied by \\( n \\), then add \\( 5 \\)\n\nusing algebraic convention? \\( m \\times n+5 \\)"
},
{
"from": "gpt",
"value": "Does not r... |
[
{
"from": "human",
"value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Perpendicula... |
[
{
"from": "human",
"value": "Identify a transversal Line \\( X Y \\) is... ![A pair of parallel lines are drawn with the arrows pointing up to the left.\nA straight red line, XY, is drawn so that it diagonally crosses the pair of parallel lines. The red line rises from X on the left up to Y.]() Skew"
},
... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( m \\times m \\times m \\)"
},
{
"from": "gpt",
"value": "Does not real... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( 3 m \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write\n\"\\( m \\) multiplied by \\( m \\) multiplied by \\( m \\)\"\nusing algebra, this would be: \\( \\mathrm{mmm} \\)"
},
{
"from": "gpt",
"value": "Writes repeated lette... |
[
{
"from": "human",
"value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 7 \\)"
},
{
"from": "gpt",
"value": "Believes you don't need to numerically order the data before calculating the median"
... |
[
{
"from": "human",
"value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 4 \\)"
},
{
"from": "gpt",
"value": "When finding the median from a even dataset does not understand we must find the midp... |
[
{
"from": "human",
"value": "Calculate the median as an average from an even numbered list of data What is the median of the following numbers?\n\\[\n2,2,4,7,10,-15\n\\] \\( 5.5 \\)"
},
{
"from": "gpt",
"value": "Believes you don't need to numerically order the data before calculating the median... |
[
{
"from": "human",
"value": "Solve problems that combine addition and subtraction ![Think of a number, then subtract \\( 5 \\), next divide by \\( 8 \\), next add 4, and finally multiply by \\( 7 \\).]() Jo says you can write this as:\n\\[\n7\\left(\\frac{(n-5)}{8}+4\\right)\n\\]\nPaul says you can write th... |
[
{
"from": "human",
"value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( -4 \\)"
},
{
"from": "gpt",
"value": "When solving an equation forgets to eliminate the coefficient in front of the variable in the last step... |
[
{
"from": "human",
"value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( 4 \\)"
},
{
"from": "gpt",
"value": "Believes that for a line written in the form ax + by = c, a is the gradient"
}
] |
[
{
"from": "human",
"value": "Find the gradient of a line written in the form ax + by = c A line has equation \\( 4 x+3 y=5 \\)\nWhat is it's gradient? \\( \\frac{4}{3} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same operation rather than the inverse."
}
] |
[
{
"from": "human",
"value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|c|c|}\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\\( n \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()"
},
{
"from": ... |
[
{
"from": "human",
"value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|l|l|l|l|}\n\\hline \\( \\mathrm{n} \\) & \\( 3 \\) & \\( \\mathrm{n} \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()"
},
... |
[
{
"from": "human",
"value": "Create a situation to match an algebraic expression Which model does not correctly represent the following expression?\n\\(2(n+3)\\) ![\\begin{tabular}{|l|l|l|l|}\n\\hline \\( \\mathrm{n} \\) & \\( \\mathrm{n} \\) & \\( 3 \\) & \\( 3 \\) \\\\\n\\hline\n\\end{tabular}]()"
},
... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() always true"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() sometimes true"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Given an equation, form or identify related equations \\[\n3 k+2<m+2\n\\]\nUsing the diagram on the right, is the expression above... ![A bar model where the same length is represented by either 3 lengths of 'k' or 1 length of 'm']() Need more information"
},
{
"from": ... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallel... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallel... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons. Tom says this is a regular polygon ![A triangle with 3 equal sides and 3 equal angles]() Katie says this is a regular polygon ![A parallel... |
[
{
"from": "human",
"value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm.... |
[
{
"from": "human",
"value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm.... |
[
{
"from": "human",
"value": "Calculate the area of a trapezium where the dimensions are given in the same units When calculating the area of this trapezium, what is the value of \\( h \\) in the formula? Area \\( =\\left(\\frac{a+b}{2}\\right) h \\) ![Trapezium with the slanted sides labelled 8cm and 7.5cm.... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a vertical line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object ![A grid of 7 squares across and 7 squares up. A red vertical line goes from the bottom to the top of the grid, it is 4 squares ... |
[
{
"from": "human",
"value": "Calculate which two integer values the decimal equivalent of a square root must lie between Without using a calculator, which two integers must \\( \\sqrt{89} \\) lie between? \\( 44 \\) and \\( 45 \\)"
},
{
"from": "gpt",
"value": "Confuses square rooting and halvin... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nW... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Jo and Paul are arguing about a first step to solve this equation:\n\\(\n\\frac{m}{6}-4=24\n\\)\nJo says you can write: \\( \\frac{m}{6}=28 \\)\nPaul says you can write: \\( m-4=144 \\)\nW... |
[
{
"from": "human",
"value": "Given a positive x value, find a y value in a table of values for lines in the form y = mx + c \\begin{tabular}{l|l|l|l}\n\\( x \\) & \\( \\) & \\( 0 \\) & \\( 3 \\) \\\\\n\\hline\\( y \\) & \\( -7 \\) & \\( -5 \\) & \\( \\color{gold}\\bigstar\\ \\) \\\\\n\\end{tabular}\n This... |
[
{
"from": "human",
"value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid wit... |
[
{
"from": "human",
"value": "Rotate an object or point 900 clockwise or anticlockwise about a point, where the point lies on the edge or outside of the object John rotates rectangle \\( A B C D 90^{\\circ} \\) clockwise from the centre \\( (3,2) \\). What error has he made? ![A positive, coordinate grid wit... |
[
{
"from": "human",
"value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, ... |
[
{
"from": "human",
"value": "Reflect an object or a point in a horizontal line with the line of reflection drawn, where the line of reflection lies on the edge or outside the object The triangle is reflected in the dashed line.\nWhat are the new coordinates of point P? ![A set of axes: x-axis from -1 to 5, ... |
[
{
"from": "human",
"value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle lab... |
[
{
"from": "human",
"value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle lab... |
[
{
"from": "human",
"value": "Identify corresponding angles Which angle is corresponding to angle \\( p \\) ? ![Image showing two parallel lines cut by a transversal creating two distinct angles around a point. On the left hand side the pink angle is labelled with A, vertically opposite this is the angle lab... |
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