conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Before Zain uses the quadratic formula to solve this equation, what must he do?\n\\(\np^{2}-16=p\n\\) Add \\( 16 \\) to both sides"
},
{
"from": "gpt",
"value": "Does not realise ... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is 1 Before Zain uses the quadratic formula to solve this equation, what must he do?\n\\(\np^{2}-16=p\n\\) Divide everything by \\( p \\)"
},
{
"from": "gpt",
"value": "Does not realis... |
[
{
"from": "human",
"value": "Calculate the mean as an average from a list of data When calculating the mean of the following numbers which calculation will give the correct answer?\n\\[\n0,0,2,6,9\n\\] \\( 0+0+2+6+9 \\div 5 \\)"
},
{
"from": "gpt",
"value": "Does not include brackets when requir... |
[
{
"from": "human",
"value": "Calculate the mean as an average from a list of data When calculating the mean of the following numbers which calculation will give the correct answer?\n\\[\n0,0,2,6,9\n\\] \\( \\frac{2+6+9}{3} \\)"
},
{
"from": "gpt",
"value": "When asked for the mean of a list of d... |
[
{
"from": "human",
"value": "Calculate the mean as an average from a list of data When calculating the mean of the following numbers which calculation will give the correct answer?\n\\[\n0,0,2,6,9\n\\] None of them"
},
{
"from": "gpt",
"value": "Does not know how to calculate the mean"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers Which of these is a cube number? \\( 3 \\)"
},
{
"from": "gpt",
"value": "Does not know what a cube number is"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers Which of these is a cube number? \\( 36 \\)"
},
{
"from": "gpt",
"value": "Mixes up square numbers and cube numbers"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers Which of these is a cube number? \\( 21 \\)"
},
{
"from": "gpt",
"value": "Does not know what a cube number is"
}
] |
[
{
"from": "human",
"value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 5 \\) weeks? \\( 5 \\times 24 \\)"
},
{
"from": "gpt",
"value": "Forgets to multiply up for the correct time frame in a worded question"
}
] |
[
{
"from": "human",
"value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 5 \\) weeks? \\( 5 \\times 7 \\times 12 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 12 hours in 1 day"
}
] |
[
{
"from": "human",
"value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 5 \\) weeks? \\( 5 \\times 5 \\times 24 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 5 days in a week"
}
] |
[
{
"from": "human",
"value": "Calculate the probability of three or more dependent events occurring without drawing a tree diagram There are \\( 5 \\) red balls and \\( 4 \\) yellow balls in a cup ![A cup with 5 red and 4 yellow balls in it. All of the balls are the same size.]() Kate picks out three balls a... |
[
{
"from": "human",
"value": "Calculate the probability of three or more dependent events occurring without drawing a tree diagram There are \\( 5 \\) red balls and \\( 4 \\) yellow balls in a cup ![A cup with 5 red and 4 yellow balls in it. All of the balls are the same size.]() Kate picks out three balls a... |
[
{
"from": "human",
"value": "Calculate the probability of three or more dependent events occurring without drawing a tree diagram There are \\( 5 \\) red balls and \\( 4 \\) yellow balls in a cup ![A cup with 5 red and 4 yellow balls in it. All of the balls are the same size.]() Kate picks out three balls a... |
[
{
"from": "human",
"value": "Use angles on a straight line to form and solve algebraic equations What is the size of angle \\( a \\) ? ![Angles on a straight line split into 3 unequal parts labelled with a, 4a and a right angle marker]() \\( 36^{\\degree} \\)"
},
{
"from": "gpt",
"value": "Does ... |
[
{
"from": "human",
"value": "Substitute a solution back into the remaining equation and find the second solution Nick has almost solved a pair of simultaneous equations.\nHe just needs to find the value of \\( y \\).\nHe writes down:\n\\[\n3-y=5\n\\]\n\nWhat is the correct value of \\( y \\) ? \\( y=2 \\)"
... |
[
{
"from": "human",
"value": "Substitute a solution back into the remaining equation and find the second solution Nick has almost solved a pair of simultaneous equations.\nHe just needs to find the value of \\( y \\).\nHe writes down:\n\\[\n3-y=5\n\\]\n\nWhat is the correct value of \\( y \\) ? \\( y=-8 \\)"... |
[
{
"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 If you reflect the rectangle in the horizontal line, where does the marked corner end up? ![Square paper with a red rectangle ... |
[
{
"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 If you reflect the rectangle in the horizontal line, where does the marked corner end up? ![Square paper with a red rectangle ... |
[
{
"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 If you reflect the rectangle in the horizontal line, where does the marked corner end up? ![A grid of 9 squares across and 7 s... |
[
{
"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 If you reflect the rectangle in the horizontal line, where does the marked corner end up? ![A grid of 9 squares across and 7 s... |
[
{
"from": "human",
"value": "Understand the term mutually exclusive Percy is playing a game where all \\( 26 \\) letters of the alphabet at placed into a bag and Percy has to pick one out at random.\nPicking a \\( \\mathrm{P} \\) and a vowel are known as... Independent events"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Understand the term mutually exclusive Percy is playing a game where all \\( 26 \\) letters of the alphabet at placed into a bag and Percy has to pick one out at random.\nPicking a \\( \\mathrm{P} \\) and a vowel are known as... Probability events"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Understand the term mutually exclusive Percy is playing a game where all \\( 26 \\) letters of the alphabet at placed into a bag and Percy has to pick one out at random.\nPicking a \\( \\mathrm{P} \\) and a vowel are known as... Dependant events"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Substitute negative integer values into formulae involving powers or roots \\(\nP=4^{k}\n\\)\n\nWhat is the value of \\( P \\) when \\( k=-3 \\) ? \\( -12 \\)"
},
{
"from": "gpt",
"value": "Has multiplied the base number and the power"
}
] |
[
{
"from": "human",
"value": "Substitute negative integer values into formulae involving powers or roots \\(\nP=4^{k}\n\\)\n\nWhat is the value of \\( P \\) when \\( k=-3 \\) ? \\( -64 \\)"
},
{
"from": "gpt",
"value": "Believes a negative power results in a negative answer"
}
] |
[
{
"from": "human",
"value": "Substitute negative integer values into formulae involving powers or roots \\(\nP=4^{k}\n\\)\n\nWhat is the value of \\( P \\) when \\( k=-3 \\) ? \\( -\\frac{1}{64} \\)"
},
{
"from": "gpt",
"value": "Believes a negative power results in a negative answer"
}
] |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie are discussing expressions\nTom says \\( \\frac{p}{q} \\) is equivalent to \\( \\frac{q}{p} \\)\nKatie says \\( p q \\) is equivalent to \\( q p \\)\nWho do you agree with? Only\nTom"
},
{
"from": "gpt",
"val... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie are discussing expressions\nTom says \\( \\frac{p}{q} \\) is equivalent to \\( \\frac{q}{p} \\)\nKatie says \\( p q \\) is equivalent to \\( q p \\)\nWho do you agree with? Both Tom and Katie"
},
{
"from": "gpt",... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Tom and Katie are discussing expressions\nTom says \\( \\frac{p}{q} \\) is equivalent to \\( \\frac{q}{p} \\)\nKatie says \\( p q \\) is equivalent to \\( q p \\)\nWho do you agree with? Neither is correct"
},
{
"from": "gpt",... |
[
{
"from": "human",
"value": "Interpret sloping linear sections of a displacement-time graph This graph shows how far Jodie is from home whilst she is out on a walk.\nWhat might the positive sloping section represent? ![A distance time graph formed by three line segments in the shape of a trapezium. The firs... |
[
{
"from": "human",
"value": "Interpret sloping linear sections of a displacement-time graph This graph shows how far Jodie is from home whilst she is out on a walk.\nWhat might the positive sloping section represent? ![A distance time graph formed by three line segments in the shape of a trapezium. The firs... |
[
{
"from": "human",
"value": "Interpret sloping linear sections of a displacement-time graph This graph shows how far Jodie is from home whilst she is out on a walk.\nWhat might the positive sloping section represent? ![A distance time graph formed by three line segments in the shape of a trapezium. The firs... |
[
{
"from": "human",
"value": "Identify triangular numbers \\( 1,3,6,10,15,21,28 \\ldots \\) What is the name commonly given to this sequence of numbers? The square numbers"
},
{
"from": "gpt",
"value": "Believes square numbers are triangle numbers"
}
] |
[
{
"from": "human",
"value": "Identify triangular numbers \\( 1,3,6,10,15,21,28 \\ldots \\) What is the name commonly given to this sequence of numbers? The cube numbers"
},
{
"from": "gpt",
"value": "Thinks cube numbers are triangular numbers"
}
] |
[
{
"from": "human",
"value": "Identify triangular numbers \\( 1,3,6,10,15,21,28 \\ldots \\) What is the name commonly given to this sequence of numbers? The Fibonacci numbers"
},
{
"from": "gpt",
"value": "Believes Fibonacci numbers are triangle numbers"
}
] |
[
{
"from": "human",
"value": "Compare the lengths of diagonal line segments without calculating the exact length ![A coordinate grid with a line segment labelled K from (-1,2) to (4,3) and a line segment marked L from (-3,-4) to (-2,0)]() What can you say about line segments \\( \\mathrm{K} \\) and \\( \\mat... |
[
{
"from": "human",
"value": "Compare the lengths of diagonal line segments without calculating the exact length ![A coordinate grid with a line segment labelled K from (-1,2) to (4,3) and a line segment marked L from (-3,-4) to (-2,0)]() What can you say about line segments \\( \\mathrm{K} \\) and \\( \\mat... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( \\boldsymbol{Q} \\) ('the base')? ![An image of a cuboid, with the height marked as 7cm, the width as 4cm and... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( \\boldsymbol{Q} \\) ('the base')? ![An image of a cuboid, with the height marked as 7cm, the width as 4cm and... |
[
{
"from": "human",
"value": "Calculate the surface area of a cuboid where the dimensions are given in the same units Which calculation would give you the area of the face of this cuboid labelled \\( \\boldsymbol{Q} \\) ('the base')? ![An image of a cuboid, with the height marked as 7cm, the width as 4cm and... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a rectangle\nKatie says it is a parallelogram\nWho do you agree with? ![Purple parallelogram with parallel sides labelled]() Only\nTom"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a rectangle\nKatie says it is a parallelogram\nWho do you agree with? ![Purple parallelogram with parallel sides labelled]() Both Tom and Katie"
},
{
"from": ... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a rectangle\nKatie says it is a parallelogram\nWho do you agree with? ![Purple parallelogram with parallel sides labelled]() Neither is correct"
},
{
"from": ... |
[
{
"from": "human",
"value": "Divide proper fractions in the form: Fraction ÷ Integer Calculate\n\\(\n\\frac{2}{5} \\div 3\n\\) \\( \\frac{6}{5} \\)"
},
{
"from": "gpt",
"value": "when dividing a fraction by an integer, multiplies the numerator by the integer"
}
] |
[
{
"from": "human",
"value": "Divide proper fractions in the form: Fraction ÷ Integer Calculate\n\\(\n\\frac{2}{5} \\div 3\n\\) \\( \\frac{15}{2} \\)"
},
{
"from": "gpt",
"value": "When dividing fractions, does the reciprocal of the first fraction instead of the second"
}
] |
[
{
"from": "human",
"value": "Divide proper fractions in the form: Fraction ÷ Integer Calculate\n\\(\n\\frac{2}{5} \\div 3\n\\) \\( \\frac{6}{15} \\)"
},
{
"from": "gpt",
"value": "When dividing a fraction by an integer, multiplies both the numerator and denominator by the integer"
}
] |
[
{
"from": "human",
"value": "Rearrange a quadratic equation so that it is in the correct form to be factorised What would be the most useful first step if we wanted to solve the following quadratic equation?\n\n\\(\nx^{2}-5 x=6\n\\) Add \\( 5 x \\) to both sides of the equation"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Rearrange a quadratic equation so that it is in the correct form to be factorised What would be the most useful first step if we wanted to solve the following quadratic equation?\n\n\\(\nx^{2}-5 x=6\n\\) Divide by \\( x \\)"
},
{
"from": "gpt",
"value": "Does not rea... |
[
{
"from": "human",
"value": "Rearrange a quadratic equation so that it is in the correct form to be factorised What would be the most useful first step if we wanted to solve the following quadratic equation?\n\n\\(\nx^{2}-5 x=6\n\\) Square root both sides of the equation"
},
{
"from": "gpt",
"va... |
[
{
"from": "human",
"value": "Divide integers by 1000 \\( 609 \\div 1000= \\) \\( 6.09 \\)"
},
{
"from": "gpt",
"value": "Divided by 100 rather than 1000"
}
] |
[
{
"from": "human",
"value": "Divide integers by 1000 \\( 609 \\div 1000= \\) \\( 609.000 \\)"
},
{
"from": "gpt",
"value": "Adds 3 decimal places rather than moving 3 places"
}
] |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving non-linear variables \\(\nx(2 x-1)+3(4 x-2) \\equiv P x^{2}+Q x+R\n\\)\n\nWhat is the value of \\( R \\) ? \\( -2 \\)"
},
{
"from": "gpt",
"value": "Only multiplies the first te... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving non-linear variables \\(\nx(2 x-1)+3(4 x-2) \\equiv P x^{2}+Q x+R\n\\)\n\nWhat is the value of \\( R \\) ? \\( -3 \\)"
},
{
"from": "gpt",
"value": "Believes you can add or subt... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving non-linear variables \\(\nx(2 x-1)+3(4 x-2) \\equiv P x^{2}+Q x+R\n\\)\n\nWhat is the value of \\( R \\) ? \\( -7 \\)"
},
{
"from": "gpt",
"value": "Believes you can add or subt... |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators where one is a multiple of the other \\(\n\\frac{7}{10}-\\frac{2}{5}=\\frac{\\bigstar}{10}\n\\)\nWhat should replace the star? \\( 5 \\)"
},
{
"from": "gpt",
"value": "When subtracting fractions, subtracts the num... |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators where one is a multiple of the other \\(\n\\frac{7}{10}-\\frac{2}{5}=\\frac{\\bigstar}{10}\n\\)\nWhat should replace the star? \\( 9 \\)"
},
{
"from": "gpt",
"value": "Does not find a common denominator when addin... |
[
{
"from": "human",
"value": "Identify the net of a prism Name the polyhedron that can be made from this net ![Net showing four rectangles and two squares]() Cylinder"
},
{
"from": "gpt",
"value": "Does not know the properties of a cylinder"
}
] |
[
{
"from": "human",
"value": "Identify the net of a prism Name the polyhedron that can be made from this net ![Net showing four rectangles and two squares]() Rectangular pyramid"
},
{
"from": "gpt",
"value": "Confuses pyramid with prism"
}
] |
[
{
"from": "human",
"value": "Identify the net of a prism Name the polyhedron that can be made from this net ![Net showing four rectangles and two squares]() Cube"
},
{
"from": "gpt",
"value": "Mixes up cubes and cuboids"
}
] |
[
{
"from": "human",
"value": "Given a positive y value, find an x value in a table of values for lines in the form y = c - x This is a part of the table of values for the equation \\( y=3-x \\) ![\\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 9 \\) \\\\\n\\hline\n... |
[
{
"from": "human",
"value": "Work out the equation of a line when given a positive gradient and a point on the line A line has a gradient of \\( 4 \\) and passes through the point \\( (1,9) \\). What is it's equation? \\( y=4 x+8 \\)"
},
{
"from": "gpt",
"value": "Believes the y intercept is giv... |
[
{
"from": "human",
"value": "Work out the equation of a line when given a positive gradient and a point on the line A line has a gradient of \\( 4 \\) and passes through the point \\( (1,9) \\). What is it's equation? \\( y=4 x+9 \\)"
},
{
"from": "gpt",
"value": "Believes c, in y=mx+c, will be... |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n27,64,125, \\ldots\n\\]\n\nThis is the \\( 3^{\\text {rd }}, 4^{\\text {th }} \\) and \\( 5^{\\text {th }} \\) term from what sequence of numbers? The odd numbers"
},
{
"from": "gpt",
"value": "Mixes up odd and even numbers"
}
] |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n27,64,125, \\ldots\n\\]\n\nThis is the \\( 3^{\\text {rd }}, 4^{\\text {th }} \\) and \\( 5^{\\text {th }} \\) term from what sequence of numbers? The square numbers"
},
{
"from": "gpt",
"value": "Does not know what a square number is"
}... |
[
{
"from": "human",
"value": "Recognise cube numbers \\[\n27,64,125, \\ldots\n\\]\n\nThis is the \\( 3^{\\text {rd }}, 4^{\\text {th }} \\) and \\( 5^{\\text {th }} \\) term from what sequence of numbers? The triangular numbers"
},
{
"from": "gpt",
"value": "Thinks cube numbers are triangular num... |
[
{
"from": "human",
"value": "Divide two decimals with a different number of decimal places \\( 70.04 \\div 0.1= \\) \\( 70.004 \\)"
},
{
"from": "gpt",
"value": "When dividing decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant."
... |
[
{
"from": "human",
"value": "Divide two decimals with a different number of decimal places \\( 70.04 \\div 0.1= \\) \\( 700.04 \\)"
},
{
"from": "gpt",
"value": "When dividing decimals, does not realize that the order and position of the digits (relative to each other) has to remain constant."
... |
[
{
"from": "human",
"value": "Divide two decimals with a different number of decimal places \\( 70.04 \\div 0.1= \\) \\( 7.004 \\)"
},
{
"from": "gpt",
"value": "When dividing decimals, divides rather than multiplies when reinserting the decimal."
}
] |
[
{
"from": "human",
"value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( y^{2} \\) in this: \\( y^{2}-9 \\) Equation"
},
{
"from": "gpt",
"value": "Confuses a term with an equation"
}
] |
[
{
"from": "human",
"value": "Recognise and name a term Which of the following is the most appropriate word to describe \\( y^{2} \\) in this: \\( y^{2}-9 \\) 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 \\( y^{2} \\) in this: \\( y^{2}-9 \\) Expression"
},
{
"from": "gpt",
"value": "Confuses an expression with a term"
}
] |
[
{
"from": "human",
"value": "Identify co-interior angles Tom and Katie are arguing about angle relationships on parallel lines.\nTom says allied (co-interior) angles are equal.\nKatie says corresponding angles are equal.\nWho is correct? Only\nTom"
},
{
"from": "gpt",
"value": "Thinks co-interio... |
[
{
"from": "human",
"value": "Identify co-interior angles Tom and Katie are arguing about angle relationships on parallel lines.\nTom says allied (co-interior) angles are equal.\nKatie says corresponding angles are equal.\nWho is correct? Both Tom and Katie"
},
{
"from": "gpt",
"value": "Thinks c... |
[
{
"from": "human",
"value": "Identify co-interior angles Tom and Katie are arguing about angle relationships on parallel lines.\nTom says allied (co-interior) angles are equal.\nKatie says corresponding angles are equal.\nWho is correct? Neither is correct"
},
{
"from": "gpt",
"value": "Thinks c... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write \n\"\\( \\boldsymbol{m} \\) multiplied by \\( \\boldsymbol{m} \\)\" \nusing algebra, this would be: \\( 2 m \\)"
},
{
"from": "gpt",
"value": "Writes a variable to the ... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write \n\"\\( \\boldsymbol{m} \\) multiplied by \\( \\boldsymbol{m} \\)\" \nusing algebra, this would be: \\( \\mathrm{mm} \\)"
},
{
"from": "gpt",
"value": "Does not realize... |
[
{
"from": "human",
"value": "Write algebraic expressions with correct algebraic convention involving powers If we want to write \n\"\\( \\boldsymbol{m} \\) multiplied by \\( \\boldsymbol{m} \\)\" \nusing algebra, this would be: \\( m^{m} \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has the highest order of rotational symmetry? ![Equilateral triangle]()"
},
{
"from": "gpt",
"value": "Does not know how to find order of rotational symmetry"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has the highest order of rotational symmetry? ![Square]()"
},
{
"from": "gpt",
"value": "Does not know how to find order of rotational symmetry"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape Which shape has the highest order of rotational symmetry? ![Hexagon]()"
},
{
"from": "gpt",
"value": "Does not know how to find order of rotational symmetry"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form ax² + bx + c where a is prime Step 1: Factorise the following expression\n\\(\n2 x^{2}+7 x+3\n\\) \\( (2 x+1)(2 x+3) \\)"
},
{
"from": "gpt",
"value": "When factorising a quadratic with a non-unit coefficient of x squared,... |
[
{
"from": "human",
"value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + bx + c This is a part of the table of values for the equation\n\\[y=x^{2}-x\\] \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( -7 \\) \\\\\n\\hline\\( y \\) & \\(\\bigstar\\) \\\\\n\\hline\n... |
[
{
"from": "human",
"value": "Given a negative x value, find the corresponding y value for curves in the form y = x² + bx + c This is a part of the table of values for the equation\n\\[y=x^{2}-x\\] \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( -7 \\) \\\\\n\\hline\\( y \\) & \\(\\bigstar\\) \\\\\n\\hline\n... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving powers What answer would your calculator give if you typed in\n\\(\n-6^{2}\n\\) ![A scientific calculator]() \\( 12 \\)"
},
{
"from": "gpt",
"value": "Has multiplied the base number and the power"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving powers What answer would your calculator give if you typed in\n\\(\n-6^{2}\n\\) ![A scientific calculator]() \\( -12 \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving powers What answer would your calculator give if you typed in\n\\(\n-6^{2}\n\\) ![A scientific calculator]() \\( 36 \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is value of \\( p \\) in this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled p cm, 10 cm, 7 cm, 3 cm and 4 cm. O... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is value of \\( p \\) in this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled p cm, 10 cm, 7 cm, 3 cm and 4 cm. O... |
[
{
"from": "human",
"value": "Calculate missing lengths of shapes by geometrical inference, where the lengths given are in the same units What is value of \\( p \\) in this compound shape made with rectangles? ![Compound shape made of two rectangles with the sides labelled p cm, 10 cm, 7 cm, 3 cm and 4 cm. O... |
[
{
"from": "human",
"value": "Compare two pie charts These pie charts show how people travel to work in two towns. The populations of the towns are given. In which town do more people travel to work by train? ![A diagram showing two pie charts and a key. The key consists of car, bike, walk and train. The pie... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures \\( 0.009753 \\)\n\nWhat is this number rounded to \\( 2 \\) significant figures? \\( 0.0 \\)"
},
{
"from": "gpt",
"value": "Counts leading zero as a significant figure"
}
] |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures \\( 0.009753 \\)\n\nWhat is this number rounded to \\( 2 \\) significant figures? \\( 0.01 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places rather than significant figures)"... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures \\( 0.009753 \\)\n\nWhat is this number rounded to \\( 2 \\) significant figures? \\( 0.0097 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up when next digit is 5"
}
] |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer What number belongs in the box?\n\\(\n(-8)+3=\n\\square\\) \\( -11 \\)"
},
{
"from": "gpt",
"value": "Counts in the wrong direction on a number line"
}
] |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer What number belongs in the box?\n\\(\n(-8)+3=\n\\square\\) \\( -6 \\)"
},
{
"from": "gpt",
"value": "Counts the starting number when counting on"
}
] |
[
{
"from": "human",
"value": "Rotate an object or point 180° about a point, where the point lies on the edge or outside of the object ![A pair of axes: x-axis is from -3 to 4; y-axis is from -4 to 4. A quadrilateral, labelled \"P\", is made by joining the following points, in order, with straight lines: (-3... |
[
{
"from": "human",
"value": "Rotate an object or point 180° about a point, where the point lies on the edge or outside of the object ![A pair of axes: x-axis is from -3 to 4; y-axis is from -4 to 4. A quadrilateral, labelled \"P\", is made by joining the following points, in order, with straight lines: (-3... |
[
{
"from": "human",
"value": "Rotate an object or point 180° about a point, where the point lies on the edge or outside of the object ![A pair of axes: x-axis is from -3 to 4; y-axis is from -4 to 4. A quadrilateral, labelled \"P\", is made by joining the following points, in order, with straight lines: (-3... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![A coordinate grid from 0 to 10 in the y direction and -5 to 10 in the x direction. There is a line drawn passing through the coordinates: (-5,7) (0,7) (5,7) (10,7)]() \\( y=7 x \\)"
... |
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