conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units What is the area of the shaded section of this composite shape made from rectangles? ![A composite shape made from two rectangles that form an \"L\" shape. The base o... |
[
{
"from": "human",
"value": "Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units What is the area of the shaded section of this composite shape made from rectangles? ![A composite shape made from two rectangles that form an \"L\" shape. The base o... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons.\nTom says if all the angles are Katie says if all the sides are equal equal then the polygon must be length then the polygon must be regul... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons.\nTom says if all the angles are Katie says if all the sides are equal equal then the polygon must be length then the polygon must be regul... |
[
{
"from": "human",
"value": "Understand the terms equilateral and regular, and recognise the notation for regular polygons Tom and Katie are discussing regular polygons.\nTom says if all the angles are Katie says if all the sides are equal equal then the polygon must be length then the polygon must be regul... |
[
{
"from": "human",
"value": "Convert fractions to percentages containing 1 decimal place What is \\( \\frac{17}{40} \\) written as a percentage? \\( 34 \\% \\)"
},
{
"from": "gpt",
"value": "Believes a fraction out of a number other than 100 represents a percentage"
}
] |
[
{
"from": "human",
"value": "Convert fractions to percentages containing 1 decimal place What is \\( \\frac{17}{40} \\) written as a percentage? \\( 68 \\% \\)"
},
{
"from": "gpt",
"value": "Believes a fraction out of a number other than 100 represents a percentage"
}
] |
[
{
"from": "human",
"value": "Convert fractions to percentages containing 1 decimal place What is \\( \\frac{17}{40} \\) written as a percentage? 17%"
},
{
"from": "gpt",
"value": "Believes a fraction out of a number other than 100 represents a percentage"
}
] |
[
{
"from": "human",
"value": "Construct a pictogram involving fractions of symbols This pictogram shows the different types of music Bob has in his music collection.\nBob has \\( 2 \\) rave CDs.\n\nHow would he display this on the pictogram? ![A pictogram showing the number of CDs Bob has in his musical coll... |
[
{
"from": "human",
"value": "Given a situation sketch an appropriate speed-time graph Sunita accelerates quickly, then travels at a constant speed, then slowly comes to rest. Which of the following velocity \\( (v) \\) time \\( (t) \\) graphs is most likely to illustrate Sunita's journey? ![A graph with tim... |
[
{
"from": "human",
"value": "Identify non-unit fractions when part of a shape What mixed number fraction is represented below? ![Four bars, each split into six equal parts. In three of the shapes, all six parts are shaded. In the fourth shape, five out of six parts are shaded.]() \\( 2 \\frac{3}{6} \\)"
}... |
[
{
"from": "human",
"value": "Identify non-unit fractions when part of a shape What mixed number fraction is represented below? ![Four bars, each split into six equal parts. In three of the shapes, all six parts are shaded. In the fourth shape, five out of six parts are shaded.]() \\( \\frac{23}{6} \\)"
},... |
[
{
"from": "human",
"value": "Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one What is the 7th pattern in this sequence? ![Three consecutive patterns in a sequence. The first pattern is 1 orange square. The second pattern is 3 orange... |
[
{
"from": "human",
"value": "Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one What is the 7th pattern in this sequence? ![Three consecutive patterns in a sequence. The first pattern is 1 orange square. The second pattern is 3 orange... |
[
{
"from": "human",
"value": "Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one What is the 7th pattern in this sequence? ![Three consecutive patterns in a sequence. The first pattern is 1 orange square. The second pattern is 3 orange... |
[
{
"from": "human",
"value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 298,603 \\) ? \\( 398,603 \\)"
},
{
"from": "gpt",
"value": "When adding powers of 10 adds onto the wrong column"
}
] |
[
{
"from": "human",
"value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 298,603 \\) ? \\( 2,986,030,000 \\)"
},
{
"from": "gpt",
"value": "Multiplies rather than adds when given the command word 'more'"
}
] |
[
{
"from": "human",
"value": "Find another power of 10 more than a given number What number is \\( 10,000 \\) more than \\( 298,603 \\) ? \\( 208,603 \\)"
},
{
"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": "Find missing angles in a scalene triangle What is the size of angle \\( p \\) ? ![A triangle with angles labelled 49 degrees, 51 degrees and p [not to scale]]() \\( 51^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Thinks angles which look the same on diagram will be eq... |
[
{
"from": "human",
"value": "Find missing angles in a scalene triangle What is the size of angle \\( p \\) ? ![A triangle with angles labelled 49 degrees, 51 degrees and p [not to scale]]() Not enough information"
},
{
"from": "gpt",
"value": "Does not know that angles in a triangle sum to 180 d... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive non-integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{8}^{\\boldsymbol{x}} \\) \\begin{tabular}{|l|c|}\n\\hline\\( x \\) & \\( \\frac{1}{3} \\) \\\\\n\\hline\\... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive non-integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{8}^{\\boldsymbol{x}} \\) \\begin{tabular}{|l|c|}\n\\hline\\( x \\) & \\( \\frac{1}{3} \\) \\\\\n\\hline\\... |
[
{
"from": "human",
"value": "Calculate coordinates of points on the graph of y = ax, where x is a positive non-integer This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\mathbf{8}^{\\boldsymbol{x}} \\) \\begin{tabular}{|l|c|}\n\\hline\\( x \\) & \\( \\frac{1}{3} \\) \\\\\n\\hline\\... |
[
{
"from": "human",
"value": "Write numbers between 0 and 1 in standard form Write the following number in standard form:\n\\[\n0.0003001\n\\] \\( 3.001 \\times 10^{4} \\)"
},
{
"from": "gpt",
"value": "Does not think we can have negative powers in standard form"
}
] |
[
{
"from": "human",
"value": "Write numbers between 0 and 1 in standard form Write the following number in standard form:\n\\[\n0.0003001\n\\] \\( 3.1 \\times 10^{-4} \\)"
},
{
"from": "gpt",
"value": "When changing a number to standard form omits zero's of significance "
}
] |
[
{
"from": "human",
"value": "Write numbers between 0 and 1 in standard form Write the following number in standard form:\n\\[\n0.0003001\n\\] \\( 3.1 \\times 10^{-7} \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds when answering worded problems "
}
] |
[
{
"from": "human",
"value": "Convert from mixed number fractions to improper fractions Convert this into an improper fraction:\n\\(\n4 \\frac{2}{3}\n\\) \\( \\frac{42}{3} \\)"
},
{
"from": "gpt",
"value": "Thinks the number of wholes in a mixed number represents the tens from the numerator of an... |
[
{
"from": "human",
"value": "Convert from mixed number fractions to improper fractions Convert this into an improper fraction:\n\\(\n4 \\frac{2}{3}\n\\) \\( \\frac{11}{3} \\)"
},
{
"from": "gpt",
"value": "Thinks you multiply by the numerator and add the denominator when converting a mixed numbe... |
[
{
"from": "human",
"value": "Convert from mixed number fractions to improper fractions Convert this into an improper fraction:\n\\(\n4 \\frac{2}{3}\n\\) \\( \\frac{12}{3} \\)"
},
{
"from": "gpt",
"value": "Forgets to add the numerator when converting from a mixed number to an improper fraction "... |
[
{
"from": "human",
"value": "Recognise the equations of vertical lines from a diagram ![A set of axes with a vertical line going through 3 on the x axis]() What is the equation of this line? \\( y=3 \\)"
},
{
"from": "gpt",
"value": "Confuses the equations of vertical and horizontal lines"
}
] |
[
{
"from": "human",
"value": "Recognise the equations of vertical lines from a diagram ![A set of axes with a vertical line going through 3 on the x axis]() What is the equation of this line? \\( y=3 x \\)"
},
{
"from": "gpt",
"value": "Confuses lines of the form y = a and y= ax"
}
] |
[
{
"from": "human",
"value": "Identify a unit of length George has answered a question on perimeter and worked out an answer of \\( 310 \\).\n\nBehind the star he has written the units that he used.\n\nWhich of the following units is definitely wrong? \\( 310 \\color{yellow} \\bigstar\\) \\( m \\)"
},
{
... |
[
{
"from": "human",
"value": "Identify a unit of length George has answered a question on perimeter and worked out an answer of \\( 310 \\).\n\nBehind the star he has written the units that he used.\n\nWhich of the following units is definitely wrong? \\( 310 \\color{yellow} \\bigstar\\) \\(mm \\)"
},
{
... |
[
{
"from": "human",
"value": "Identify a unit of length George has answered a question on perimeter and worked out an answer of \\( 310 \\).\n\nBehind the star he has written the units that he used.\n\nWhich of the following units is definitely wrong? \\( 310 \\color{yellow} \\bigstar\\) \\( f t \\)"
},
... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring addition or subtraction, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\nWhat ... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring addition or subtraction, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\nWhat ... |
[
{
"from": "human",
"value": "Solve one-step linear equations requiring addition or subtraction, with all positive integers Isaac is solving an equation. This is the left-hand side of two lines of working from Isaac's book. Isaac always records what operation he has done to both sides of the equation.\nWhat ... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A graph of a quadratic curve that crosses the x axis at (1,0) and (3,0) and crosses the y axis at (0,3).]() \\( y=(x+1)(x+3) \\)"
... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A graph of a quadratic curve that crosses the x axis at (1,0) and (3,0) and crosses the y axis at (0,3).]() \\( y=(x+1)(x-3) \\)"
... |
[
{
"from": "human",
"value": "Given the sketch of a curve in the form (x + a)(x + b), work out its factorised form Which of the following could be the equation of this curve? ![A graph of a quadratic curve that crosses the x axis at (1,0) and (3,0) and crosses the y axis at (0,3).]() \\( y=(x-1)(x+3) \\)"
... |
[
{
"from": "human",
"value": "Use a bar model to express a ratio problem Tom and Katie share \\( £ 30 \\) in the ratio \\( 3\\;: 2 \\).\nWhich of the following diagrams best represents this situation? ![A bar split into 3 pink blocks and 2 blue blocks. All the blocks are the same size and each block is label... |
[
{
"from": "human",
"value": "Use a bar model to express a ratio problem Tom and Katie share \\( £ 30 \\) in the ratio \\( 3\\;: 2 \\).\nWhich of the following diagrams best represents this situation? ![A pink bar split into 3 blocks, and below it a shorter blue bar split into 2 blocks. All the blocks are th... |
[
{
"from": "human",
"value": "Use a bar model to express a ratio problem Tom and Katie share \\( £ 30 \\) in the ratio \\( 3\\;: 2 \\).\nWhich of the following diagrams best represents this situation? ![A pink bar split into 3 blocks, and below it a shorter blue bar split into 2 blocks. All the blocks are th... |
[
{
"from": "human",
"value": "Add proper fractions with the same denominator Calculate:\n\\(\n\\frac{2}{7}+\\frac{1}{7}\n\\) \\( \\frac{2}{7} \\)"
},
{
"from": "gpt",
"value": "Multiplies the numerators when adding fractions with a common denominator"
}
] |
[
{
"from": "human",
"value": "Add proper fractions with the same denominator Calculate:\n\\(\n\\frac{2}{7}+\\frac{1}{7}\n\\) \\( \\frac{2}{49} \\)"
},
{
"from": "gpt",
"value": "When asked to add fractions, multiplies instead"
}
] |
[
{
"from": "human",
"value": "Add proper fractions with the same denominator Calculate:\n\\(\n\\frac{2}{7}+\\frac{1}{7}\n\\) \\( \\frac{3}{14} \\)"
},
{
"from": "gpt",
"value": "When adding fractions, adds the numerators and denominators"
}
] |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the value of the missing number? ![\\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{\\( 15^{2} \\)} \\\\\n\\hline\\( \\square^{2} \\) & \\( 2 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 3 \\)"
},
{
"from": "gpt",
"valu... |
[
{
"from": "human",
"value": "Calculate the square root of a number What is the value of the missing number? ![\\begin{tabular}{|c|c|}\n\\hline \\multicolumn{2}{|c|}{\\( 15^{2} \\)} \\\\\n\\hline\\( \\square^{2} \\) & \\( 2 \\) \\\\\n\\hline\n\\end{tabular}]() \\( 40.5 \\)"
},
{
"from": "gpt",
"v... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems with numbers over 1000 A \\( 4 \\) digit number belongs in this box to make the calculation true\n\\(\n\\square -7806=1253\n\\)\nWhat is the \\( 4^{\\text {th }} \\) digit of the number that belongs in the box? \\( 3 \\)"
},
... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems with numbers over 1000 A \\( 4 \\) digit number belongs in this box to make the calculation true\n\\(\n\\square -7806=1253\n\\)\nWhat is the \\( 4^{\\text {th }} \\) digit of the number that belongs in the box? \\( 8 \\)"
},
... |
[
{
"from": "human",
"value": "Complete missing number mental subtraction problems with numbers over 1000 A \\( 4 \\) digit number belongs in this box to make the calculation true\n\\(\n\\square -7806=1253\n\\)\nWhat is the \\( 4^{\\text {th }} \\) digit of the number that belongs in the box? Not possible"
... |
[
{
"from": "human",
"value": "Carry out addition problems involving two negative integers \\( (-9)+(-4)= \\) \\( -5 \\)"
},
{
"from": "gpt",
"value": "Believes that adding a negative will increase the value of the original number"
}
] |
[
{
"from": "human",
"value": "Carry out addition problems involving two negative integers \\( (-9)+(-4)= \\) \\( 13 \\)"
},
{
"from": "gpt",
"value": "Believes adding two negatives gives a positive answer"
}
] |
[
{
"from": "human",
"value": "Generate a descending integer linear sequence from the nth term rule Tom and Katie are discussing sequences Tom says \\( (2 n+1)^{2} \\) would produce a linear sequence Katie says \\( 1-\\frac{n}{2} \\) would produce a linear sequence Who is correct? Only\nTom"
},
{
"fro... |
[
{
"from": "human",
"value": "Generate a descending integer linear sequence from the nth term rule Tom and Katie are discussing sequences Tom says \\( (2 n+1)^{2} \\) would produce a linear sequence Katie says \\( 1-\\frac{n}{2} \\) would produce a linear sequence Who is correct? Both Tom and Katie"
},
{... |
[
{
"from": "human",
"value": "Generate a descending integer linear sequence from the nth term rule Tom and Katie are discussing sequences Tom says \\( (2 n+1)^{2} \\) would produce a linear sequence Katie says \\( 1-\\frac{n}{2} \\) would produce a linear sequence Who is correct? Neither is correct"
},
{... |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 3.52+2.75= \\) \\( 5.27 \\)"
},
{
"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": "Add decimals with the same number of decimals places \\( 3.52+2.75= \\) \\( 7.17 \\)"
},
{
"from": "gpt",
"value": "When adding decimals, just adds the digits and ignores place value"
}
] |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 3.52+2.75= \\) \\( 5.127 \\)"
},
{
"from": "gpt",
"value": "When adding decimals, just adds the digits and ignores place value"
}
] |
[
{
"from": "human",
"value": "Know the equation of the axes What is the equation of the \\( x \\) axis? \\( x=1 \\)"
},
{
"from": "gpt",
"value": "Thinks x = 1 at the x axis"
}
] |
[
{
"from": "human",
"value": "Know the equation of the axes What is the equation of the \\( x \\) axis? \\( x=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 \\( x \\) axis? \\( x=y \\)"
},
{
"from": "gpt",
"value": "Thinks x = y is an axis"
}
] |
[
{
"from": "human",
"value": "Calculate the range from a list of data What is the range of this set of data?\n\\[\n4 \\mathrm{~cm}, \\quad 22 \\mathrm{~cm}, \\quad 5 \\mathrm{~cm}, \\quad 7 \\mathrm{~cm}\n\\] \\( 22 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
"value": "Identifies the biggest value for... |
[
{
"from": "human",
"value": "Calculate the range from a list of data What is the range of this set of data?\n\\[\n4 \\mathrm{~cm}, \\quad 22 \\mathrm{~cm}, \\quad 5 \\mathrm{~cm}, \\quad 7 \\mathrm{~cm}\n\\] \\( 3 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
"value": "Thinks the range is just the firs... |
[
{
"from": "human",
"value": "Calculate the range from a list of data What is the range of this set of data?\n\\[\n4 \\mathrm{~cm}, \\quad 22 \\mathrm{~cm}, \\quad 5 \\mathrm{~cm}, \\quad 7 \\mathrm{~cm}\n\\] \\( 26 \\mathrm{~cm} \\)"
},
{
"from": "gpt",
"value": "To find the range adds the bigge... |
[
{
"from": "human",
"value": "Describe an ascending linear sequence in words Which of the following is the most accurate way to describe this sequence?\n\n\\[\n4,10,16,22,28, \\ldots\n\\] The first term is \\( 6 \\) and the common difference is positive \\( 4 \\)"
},
{
"from": "gpt",
"value": "Do... |
[
{
"from": "human",
"value": "Describe an ascending linear sequence in words Which of the following is the most accurate way to describe this sequence?\n\n\\[\n4,10,16,22,28, \\ldots\n\\] The first term is \\( 6 \\) and the common difference is negative \\( 4 \\)"
},
{
"from": "gpt",
"value": "Do... |
[
{
"from": "human",
"value": "Complete mental addition problems up to 1000 \\( 23+108= \\) \\( 338 \\)"
},
{
"from": "gpt",
"value": "Lines up the digits incorrectly when doing an addition involving two numbers with a different amount of digits"
}
] |
[
{
"from": "human",
"value": "Complete mental addition problems up to 1000 \\( 23+108= \\) \\( 121 \\)"
},
{
"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": "Solve problems involving converting between fractions, decimals and percentages \\( 0.2=\\frac{1}{5}=? \\% \\) \\( 15 \\% \\)"
},
{
"from": "gpt",
"value": "Converts a fraction to a percentage by writing the numerator followed by the denominator"
}
] |
[
{
"from": "human",
"value": "Solve problems involving converting between fractions, decimals and percentages \\( 0.2=\\frac{1}{5}=? \\% \\) \\( 2 \\% \\)"
},
{
"from": "gpt",
"value": "Multiplies by 10 instead of 100 when converting decimal to percentage"
}
] |
[
{
"from": "human",
"value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) What should replace the star and triangle when this expression is fully factorised? \\( 8 m - 10 \\equiv {\\bigstar}(\\triangle m-\\bigcirc) \\) \\( \\begin{array}{l}{... |
[
{
"from": "human",
"value": "Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6) What should replace the star and triangle when this expression is fully factorised? \\( 8 m - 10 \\equiv {\\bigstar}(\\triangle m-\\bigcirc) \\) \\( \\begin{array}{l}{... |
[
{
"from": "human",
"value": "Reflect an object or a point in a horizontal 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 \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of a... |
[
{
"from": "human",
"value": "Reflect an object or a point in a horizontal 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 \\( x \\)-axis\nWhat are the new coordinates of point \\( P \\) ? ![A set of a... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![A graph showing a horizontal line going through 4 on the y axis.]() \\( x=4 y \\)"
},
{
"from": "gpt",
"value": "Believes the equation of a horizontal line is in the form ... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![A graph showing a horizontal line going through 4 on the y axis.]() \\( y=4 x \\)"
},
{
"from": "gpt",
"value": "Includes the x variable when giving the equation of a hori... |
[
{
"from": "human",
"value": "Recognise the equations of horizontal lines from a diagram What is the equation of this line? ![A graph showing a horizontal line going through 4 on the y axis.]() \\( x=4 \\)"
},
{
"from": "gpt",
"value": "Confuses the equations of vertical and horizontal lines"
}... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 90° and 180° Which diagram shows an angle of \\( 135^{\\circ} \\) ? ![A 180 degree protractor (straight edge at the bottom) with 2 red lines and a blue sector marking out an angle being measured by the protractor. The angle is between t... |
[
{
"from": "human",
"value": "Use a protractor to measure angles between 90° and 180° Which diagram shows an angle of \\( 135^{\\circ} \\) ? ![A 180 degree protractor (straight edge at the bottom) with 2 red lines and a blue sector marking out an angle being measured by the protractor. The angle is between t... |
[
{
"from": "human",
"value": "Calculate the range from a list of data The data is in ascending order.\n\\(\n\\begin{array}{llllll}\nx & 5 & 8 & y & 19 & 25\n\\end{array}\n\\)\nWrite an expression for the range. \\( x-25 \\)"
},
{
"from": "gpt",
"value": "subtracts the highest from the lowest when... |
[
{
"from": "human",
"value": "Calculate the range from a list of data The data is in ascending order.\n\\(\n\\begin{array}{llllll}\nx & 5 & 8 & y & 19 & 25\n\\end{array}\n\\)\nWrite an expression for the range. \\( \\frac{57+y+x}{6} \\)"
},
{
"from": "gpt",
"value": "Finds the mean instead of the... |
[
{
"from": "human",
"value": "Match linear sequences to other representations, such as tables and graphs Which sequence matches this graph? ![Position]() ![The sequence 5, 7, 9 represented pictorially using black line segments shaped into triangles which share a side.]()"
},
{
"from": "gpt",
"val... |
[
{
"from": "human",
"value": "Match linear sequences to other representations, such as tables and graphs Which sequence matches this graph? ![Position]() ![The sequence 3, 5, 7 represented pictorially using squares. For the first term 3 squares are placed with two squares as the base and one square stacked o... |
[
{
"from": "human",
"value": "Match linear sequences to other representations, such as tables and graphs Which sequence matches this graph? ![Position]() ![The first three triangular numbers represented using purple dots.]()"
},
{
"from": "gpt",
"value": "When given a linear sequence, cannot matc... |
[
{
"from": "human",
"value": "Solve two-step linear equations, with the variable on one side, with all positive integers Solve the following equation for \\( a \\) :\n\\[\n2=3 a-4\n\\] \\( a=-\\frac{2}{3} \\)"
},
{
"from": "gpt",
"value": "Subtracts instead of adds when using inverse operations t... |
[
{
"from": "human",
"value": "Interpret linear sections of real life graphs The graph on the right shows the mass of sand in a bucket over time\n\nThe gradient of the positive sloping section would tell us... ![A graph with time (secs) on the horizontal axis and mass (g) on the vertical axis. The graph start... |
[
{
"from": "human",
"value": "Answer negative number problems that require the use of BIDMAS \\( -4+(-5) \\times 3= \\) \\( -27 \\)"
},
{
"from": "gpt",
"value": "Carries out operations from left to right regardless of priority order"
}
] |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape ![A solid yellow equilateral triangle (3 sided polygon with all 3 sides of equal length).]() What is the order of rotational symmetry of this equilateral triangle? \\( 1 \\)"
},
{
"from": "gpt",
"value": "Does not ... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape ![A solid yellow equilateral triangle (3 sided polygon with all 3 sides of equal length).]() What is the order of rotational symmetry of this equilateral triangle? \\( 2 \\)"
},
{
"from": "gpt",
"value": "Gives one... |
[
{
"from": "human",
"value": "Recognise that a sequence is linear sequences when expressed as a pattern Tom and Katie are discussing linear sequences Tom says this is a linear sequence: ![Three shapes made of squares. The first is an L-shape made of 3 squares so the bottom line is two squares long. The secon... |
[
{
"from": "human",
"value": "Recognise that a sequence is linear sequences when expressed as a pattern Tom and Katie are discussing linear sequences Tom says this is a linear sequence: ![Three shapes made of squares. The first is an L-shape made of 3 squares so the bottom line is two squares long. The secon... |
[
{
"from": "human",
"value": "Recognise that a sequence is linear sequences when expressed as a pattern Tom and Katie are discussing linear sequences Tom says this is a linear sequence: ![Three shapes made of squares. The first is an L-shape made of 3 squares so the bottom line is two squares long. The secon... |
[
{
"from": "human",
"value": "Given a positive x value, find the corresponding y value for reciprocal graphs This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\frac{\\mathbf{1}}{\\boldsymbol{x}} \\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 0 \\) \\\\\n\\hline\\( y \\) & \\(\\... |
[
{
"from": "human",
"value": "Given a positive x value, find the corresponding y value for reciprocal graphs This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\frac{\\mathbf{1}}{\\boldsymbol{x}} \\) \\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 0 \\) \\\\\n\\hline\\( y \\) & \\(\\... |
[
{
"from": "human",
"value": "Calculate the midpoint between two coordinates in 2D, where all the values are integers but at least one is negative What is the midpoint of these two coordinates? ![A set of axes with two points (-4,5) and (6,2) plotted.]() \\( (5,3.5) \\)"
},
{
"from": "gpt",
"valu... |
[
{
"from": "human",
"value": "Calculate the midpoint between two coordinates in 2D, where all the values are integers but at least one is negative What is the midpoint of these two coordinates? ![A set of axes with two points (-4,5) and (6,2) plotted.]() \\( (2,7) \\)"
},
{
"from": "gpt",
"value"... |
[
{
"from": "human",
"value": "Solve linear simultaneous equations requiring a scaling of both expressions If three cups of tea and two cups of coffee cost \\( £ 2.40 \\), and two cups of tea and five cups of coffee cost £3.80, what is the cost of a cup of tea and a cup of coffee? \\( \\begin{array}{l}\\text ... |
[
{
"from": "human",
"value": "Form expressions from situations described in words I think of a number. I add on five and then multiply the result by four. The answer I get is \\( 17 \\).\nWhich of the following equations represents this? \\( n+5 \\times 4=17 \\)"
},
{
"from": "gpt",
"value": "Car... |
[
{
"from": "human",
"value": "Form expressions from situations described in words I think of a number. I add on five and then multiply the result by four. The answer I get is \\( 17 \\).\nWhich of the following equations represents this? \\( 4 n+5=17 \\)"
},
{
"from": "gpt",
"value": "Does not in... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.