conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Identify the total number of combinations in a given scenario by using the product rule for counting where duplicates are considered different Jumbo Restaurant has \\( 34 \\) choices of starters, \\( 92 \\) choices of main course, and \\( 27 \\) choices of dessert.\nSally wants ... |
[
{
"from": "human",
"value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3... |
[
{
"from": "human",
"value": "Read the graphical solution to a pair of linear simultaneous equations from a diagram According to the graph, what are the solutions to the simultaneous equations? ![The image is of a set of axes with two straight lines drawn on. The red line goes through the points (0,6) and (3... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is... |
[
{
"from": "human",
"value": "Simplify algebraic expressions to maintain equivalence by collecting like terms involving just two linear variables Jo and Paul are talking about which term could replace the star in this addition pyramid.\nJo says it could be: \\( f \\)\nPaul says it could be: \\( g \\)\nWho is... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 4 \\)"
... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 11 \\)"
... |
[
{
"from": "human",
"value": "For a given output find the input of a function machine ![2 arrows pointing to the right. + 7 in the first arrow. divide by 2 in the second arrow]() The rule above is used to generate a term-to-term sequence.\nIf the third term is \\( 9 \\), what is the first term? \\( 8 \\)"
... |
[
{
"from": "human",
"value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled w... |
[
{
"from": "human",
"value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled w... |
[
{
"from": "human",
"value": "Solve coordinate geometry questions involving quadrilaterals What is the height of the rectangle as indicated by the arrow? ![A pair of axes with no labels. 4 points are marked and joined with straight lines to make a rectangle. The top left corner of the rectangle is labelled w... |
[
{
"from": "human",
"value": "Generate a descending integer linear sequence from the nth term rule How many terms are greater than zero in this sequence:\n\\[\n22-5 n\n\\] \\( 5 \\)"
},
{
"from": "gpt",
"value": "Thinks the first term in a sequence is the term before the sequence begins (0th term... |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Only Tom"
},
{
"from": "gpt",
"va... |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Both Tom and Katie"
},
{
"from": "gpt... |
[
{
"from": "human",
"value": "Convert fractions less than 1 to terminating decimals of 2 decimal places Tom and Katie are discussing fractions, decimals and percentages. Tom says \\( \\frac{11}{50}=0.11 \\) Katie says \\( \\frac{11}{50}=22 \\% \\) Who is correct? Neither is correct"
},
{
"from": "gpt... |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of th... |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of th... |
[
{
"from": "human",
"value": "Divide integers of 3 or more digits using long division When using long-division to solve this problem, what digit should replace the rectangle to give the correct answer (quotient)? ![Division sum written out in Bus Stop format with dividend = 735, divisor = 3, the digits of th... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 27 \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
}
] |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division \\( 5+4 \\times 3= \\) \\( 60 \\)"
},
{
"from": "gpt",
"value": "Multiplies rather than adds "
}
] |
[
{
"from": "human",
"value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of ... |
[
{
"from": "human",
"value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of ... |
[
{
"from": "human",
"value": "Solve basic introduction simultaneous equation problems, often involving shapes and symbols Chris orders \\( 3 \\) cups of tea and a cake, and his bill comes to £3.10\n\nAmy orders \\( 5 \\) cups of tea and a cake, and her bill comes to \\( £ 4.50 \\).\nHow much does one cup of ... |
[
{
"from": "human",
"value": "Place or identify the location of an integer between 100 and 1000 on a number line Which number line shows a good estimate for the position of the number shown? ![A number line from 0 to 10000 with the value 857 incorrectly labelled, with an arrow, between the midpoint and 10000... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2-3 p \\)"
},
{
"from": "gpt",
"value": "Ignores negative sign when expanding bracket"
}
] |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( -2-3 p \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\(\n-(2-3 p)\n\\) \\( 2+3 p \\)"
},
{
"from": "gpt",
"value": "Only multiplies second term in the expansion of a bracket"
}
] |
[
{
"from": "human",
"value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with b... |
[
{
"from": "human",
"value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with b... |
[
{
"from": "human",
"value": "Calculate the volume of a triangular-based prism when the dimensions are given in the same units Which of the three marked lengths is not needed when calculating the volume of this shape? ![A triangular prism with length 6cm. The triangular face is a right-angled triangle with b... |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 4 \\)"
},
{
"from": "gpt",
"value": "Does not understand a percentage can be applied to something not out of 100"
}
] |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 204 \\)"
},
{
"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 an integer What is \\( 4 \\% \\) of \\( 200 ? \\) \\( 80 \\)"
},
{
"from": "gpt",
"value": "Believes that dividing by 10 gives 1%"
}
] |
[
{
"from": "human",
"value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\times 5 \\times 24 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 5 days in a week"
}
] |
[
{
"from": "human",
"value": "Convert from weeks to hours Which one of the following calculations would work out the number of hours in \\( 10 \\) weeks? \\( 10 \\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 \\( 10 \\) weeks? \\( 10 \\times 7 \\times 12 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 12 hours in 1 day"
}
] |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-6,-4) \\)"
},
{
"from": "gpt",
"value": "Does not know... |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-3,-2) \\)"
},
{
"from": "gpt",
"value": "Believes the ... |
[
{
"from": "human",
"value": "Can calculate missing coordinates in a geometric shape Here are \\( 3 \\) vertices of a rectangle:\n\\((-6,-2),(-3,2),(0,0) \\text {, }\\)\n\nWhat are the coordinates of the \\( 4^{\\text {th }} \\) vertex? \\( (-2,-3) \\)"
},
{
"from": "gpt",
"value": "Does not know... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 6+3 m \\)"
},
{
"from": "gpt",
"value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fractio... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) \\( 2+9 m \\)"
},
{
"from": "gpt",
"value": "Only applies a division to one of multiple terms in a numerator when simplifying an algebraic fractio... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the numerator Simplify the following if possible: \\( \\frac{6+9 m}{3} \\) None of the options"
},
{
"from": "gpt",
"value": "Does not know how to simplify algebraic fractions"
}
] |
[
{
"from": "human",
"value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 60 \\)"
},
{
"from": "gpt",
"value": "Converted seconds to minutes instead of seconds to hours"
}
] |
[
{
"from": "human",
"value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 36 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 100 seconds in an hour"
}
] |
[
{
"from": "human",
"value": "Convert from seconds to hours How many hours is \\( 3600 \\) seconds? \\( 3.6 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 1000 seconds in an hour"
}
] |
[
{
"from": "human",
"value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n... |
[
{
"from": "human",
"value": "Solve quadratic equations using factorisation in the form (px + a)(qx + b) Tom and Katie are discussing how to solve this quadratic equation:\n\\(\n(5 x+2)(2 x-5)=0\n\\)\n\nTom says one solution is: \\( x=\\frac{2}{5} \\)\n\nKatie says one solution is: \\( x=-\\frac{5}{2} \\)\n... |
[
{
"from": "human",
"value": "Use inequality notation to order fractions with the same numerators Which signs belong in the boxes to make the statement correct?\n\\(\n\\frac{1}{5} \\;\\square\\; \\frac{1}{6}\\; \\square \\;\\frac{1}{3}\n\\) \\( <> \\)"
},
{
"from": "gpt",
"value": "Believes that ... |
[
{
"from": "human",
"value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Irregular hexagon]() \\( 360^{\\degree} \\)"
},
{
"from": "gpt",
"value": "Thinks the interior angles of any polygon add up to 360"
}
] |
[
{
"from": "human",
"value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Irregular hexagon]() \\( 540^{\\degree} \\)"
},
{
"from": "gpt",
"value": "Does not know how to calculate the sum of interior angles"
}
] |
[
{
"from": "human",
"value": "Work out the sum of the interior angles in polygons What do all the interior angles of this shape add up to? ![Irregular hexagon]() Not enough information to work it out"
},
{
"from": "gpt",
"value": "Believes that you are unable to calculate the sum of the interior ... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made ... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made ... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Cosine (cos) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the longest side labelled 10cm. The base of the triangle is 6cm. The angle made ... |
[
{
"from": "human",
"value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 2 \\)"
},
{
"from": "gpt",
"value": "Identifies the first term rather than the next term i... |
[
{
"from": "human",
"value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=5-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=2 \\), what is the value of \\( x_{2} \\) ?\n \\( 4.7777 \\ldots \\)"
},
{
"from": "gpt",
"value": "When asked for a specific term in a sequ... |
[
{
"from": "human",
"value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 0 \\)"
},
{
"from": "gpt",
"value": "Believes th... |
[
{
"from": "human",
"value": "Given a line segment, calculate the gradient where the gradient is a positive integer What is the gradient of this line? ![A set of axes with a graph drawn on. The graph passes through the points (0,0) and (1,2)]() \\( 2 x \\)"
},
{
"from": "gpt",
"value": "Thinks th... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( -1-2 p \\)"
},
{
"from": "gpt",
"value": "Only multiplies the first term in the expansion of a bracket"
}
] |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1+2 p \\)"
},
{
"from": "gpt",
"value": "Only multiplies second term in the expansion of a bracket"
}
] |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression Expand:\n\\[\n-(1-2 p)\n\\] \\( 1-2 p \\)"
},
{
"from": "gpt",
"value": "Ignores negative sign when expanding bracket"
}
] |
[
{
"from": "human",
"value": "Expand products of three binomials in the form (x + a)(x + b)(x + c) When Aneesa expands these brackets, how many terms should she get after she simplifies? \\( (p+3)(p+4)(p+5) \\) \\( 3 \\)"
},
{
"from": "gpt",
"value": "Believes a cubic expression should have three... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 2(9 a-6) \\)"
},
{
"from": "gpt",
"value": "Believes that they can fully factorise an expression by taking out any comm... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) Factorise fully \\( 18 a-12 \\) \\( 18(a-6) \\)"
},
{
"from": "gpt",
"value": "When factorising into single brackets, factorises the first term correctly b... |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0 \\)"
},
{
"from": "gpt",
"value": "Counts leading zero as a significant figure... |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.05 \\)"
},
{
"from": "gpt",
"value": "Rounds down instead of up"
}
] |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation When estimating the answer to a complicated problem involving \\( 0.0584 \\), you should instead use... \\( 0.058 \\)"
},
{
"from": "gpt",
"value": "Rounds too little when estimating"
}
... |
[
{
"from": "human",
"value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 256 \\)"
},
{
"from": "gpt",
"value": "Believes to find the next traingle number you add the previ... |
[
{
"from": "human",
"value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 151 \\)"
},
{
"from": "gpt",
"value": "Believes the difference between triangle numbers decreases ... |
[
{
"from": "human",
"value": "Continue a sequence involving triangle numbers Here are two consecutive triangle numbers: \\( 120,136, \\ldots \\) What is the next triangle number in the sequence? \\( 152 \\)"
},
{
"from": "gpt",
"value": "Believes the difference between triangle numbers remains th... |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x-3)(x-2) \\)"
},
{
"from": "gpt",
"value": "Believes multiplying two negatives gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Factorise a quadratic expression in the form x² - bx - c Which answer shows the correct factorisation of:\n\\(\nx^{2}-x-6\n\\) \\( (x+3)(x-2) \\)"
},
{
"from": "gpt",
"value": "Believes that when factorising a quadratic, they can choose any two numbers that multiply ... |
[
{
"from": "human",
"value": "Assign probabilities to single events using percentages This four-sided spinner is fair.\nWhat is the probability of spinning a \\( 2 \\) ?\nGive your answer as a percentage ![A four sided spinner labelled with 1, 2, 3 and 4]() \\( 40 \\% \\)"
},
{
"from": "gpt",
"va... |
[
{
"from": "human",
"value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a th... |
[
{
"from": "human",
"value": "Add proper fractions with different denominators which do not share a common factor The fractions in the two circles below add to give the fraction in the circle above.\n\nWhat should replace the question mark? ![Fractions 3/5 and 1/4 in two separate circles, both linked to a th... |
[
{
"from": "human",
"value": "Given a term in an ascending integer linear sequence, use the nth term rule to find its position in that sequence Here are the first \\( 4 \\) terms of a sequence \\( \\begin{array}{lllll}11 & 15 & 19 & 23 & \\ldots\\end{array} \\) What position in the sequence is the number \\(... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p-10)(p+10) \\)"
},
{
"from": "gpt",
"value": "When factorising a quadratic witho... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) \\( (p+10)(p+10) \\)"
},
{
"from": "gpt",
"value": "When factorising a quadratic witho... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a) Factorise this expression, if possible:\n\\(\np^{2}+100 p\n\\) Does not factorise"
},
{
"from": "gpt",
"value": "Thinks a quadratic without a non var... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the... |
[
{
"from": "human",
"value": "Reflect an object or a point in a diagonal line with the line of reflection given as an equation, where the line of reflection lies on the edge or outside the object A point, \\( Q \\), has coordinates \\( (-3,3) \\)\nThe point is reflected in the line \\( y=-x \\)\nWhat are the... |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 0 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is the first non-zero digit number"
}
] |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 4 \\)"
},
{
"from": "gpt",
"value": "Identifies first decimal place value when asked for first significant figure"
}
] |
[
{
"from": "human",
"value": "Round numbers greater than 1 to one significant figure \\(\n20.4593\n\\)\n\nWhat is the first significant figure in the number above? \\( 5 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is the first non-zero digit number"
}
] |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the midd... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the midd... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons The dashes on the sides tell us that this is a \\(__________\\) polygon\n\nWhat word completes the sentence? ![A shape with five equal sides. Each side has a small dash through the midd... |
[
{
"from": "human",
"value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \... |
[
{
"from": "human",
"value": "Find the nth term rule for ascending quadratic sequences in the form x² + bx + c \\(10,21,34,49,66, \\ldots\\)\n\nWhen calculating the nth-term rule of this sequence, \nwhat should replace the triangle?\n\nnth-term rule: \\( n^{2} \\)\\( \\color{red}\\triangle \\) \\(n\\) \\( \... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 200 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 123 \\)"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Interpret and carry out mental division using a bar model Find the value of \\( P \\). ![Horizontal green bar divided into 5 equal sections. Each section is labelled with a \"P\". Curly bracket shows that 3 of the sections sum to 615.]() \\( 1845 \\)"
},
{
"from": "gpt",... |
[
{
"from": "human",
"value": "Given an x value, find the corresponding y value from a non-linear graph Here is the graph of\n\\(\ny=\\frac{4}{x}\n\\)\n\nWhat is the value of \\( y \\) when \\( x=-1 \\) ? ![A graph with two curves. Y axis from -5 to 5 and x axis from -5 to 5 marked in increments of 1. One cu... |
[
{
"from": "human",
"value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^... |
[
{
"from": "human",
"value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^... |
[
{
"from": "human",
"value": "Estimate the volume or capacity of an object Each of these measurements matches one of these objects. ![An image of 4 objects and 4 measurements. The objects are an egg cup, a cereal box, a chest of drawers and a piggy bank. And, the measurements are 87 cm^3, 1013 cm^3, 4172 cm^... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x=-2 \\)"
... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( y=-2 x \\)... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![The diagram shows a pair of axes, x and y ranging from -6 to 5 horizontally and -3 to 4 vertically. There is a horizontal line that passes through the y axis at -2. ]() \\( x y=-2 \\)... |
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