conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,6,10, \\ldots \\text { ? }\n\\]\n\nWhich pattern matches the sequence above? ![The square numbers represented by green circles arranged into squares.]()"
},
{
"from": "gpt",
"value": "When given a linear sequence, cannot match it to... |
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,6,10, \\ldots \\text { ? }\n\\]\n\nWhich pattern matches the sequence above? ![The cube numbers represented by small, pale, blue cubes arranged into larger cubes]()"
},
{
"from": "gpt",
"value": "When given a linear sequence, cannot... |
[
{
"from": "human",
"value": "Count a number of objects \\[\n1,3,6,10, \\ldots \\text { ? }\n\\]\n\nWhich pattern matches the sequence above? ![A sequence represented using red circles arranged in a pattern so that the first term has one red dot and then an additional two dots are added underneath this one r... |
[
{
"from": "human",
"value": "Raise a positive integer to a positive integer power Tom and Katie are arguing about powers.\n\\( m \\) and \\( n \\) are integers\n\nTom says there is no value of \\( m \\) that means \\( 2^{m} \\) ends in \\( 0 \\).\nKatie says there is no value of \\( n \\) that means \\( 5^{... |
[
{
"from": "human",
"value": "Raise a positive integer to a positive integer power Tom and Katie are arguing about powers.\n\\( m \\) and \\( n \\) are integers\n\nTom says there is no value of \\( m \\) that means \\( 2^{m} \\) ends in \\( 0 \\).\nKatie says there is no value of \\( n \\) that means \\( 5^{... |
[
{
"from": "human",
"value": "Raise a positive integer to a positive integer power Tom and Katie are arguing about powers.\n\\( m \\) and \\( n \\) are integers\n\nTom says there is no value of \\( m \\) that means \\( 2^{m} \\) ends in \\( 0 \\).\nKatie says there is no value of \\( n \\) that means \\( 5^{... |
[
{
"from": "human",
"value": "Use direct proportion to solve unitary missing amounts in problems (e.g. recipes) Eight bottles of water cost \\( £ 3.60 \\).\n\nHow much does one bottle of water cost? \\( £ 28.80 \\)"
},
{
"from": "gpt",
"value": "Multiplies up without finding unit price in proport... |
[
{
"from": "human",
"value": "Use direct proportion to solve unitary missing amounts in problems (e.g. recipes) Eight bottles of water cost \\( £ 3.60 \\).\n\nHow much does one bottle of water cost? \\( £ 3.53 \\)"
},
{
"from": "gpt",
"value": "Subtracts rather than dividing to find unit price"
... |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 What is \\( 120 \\% \\) of \\( 50 \\) ? \\( 10 \\)"
},
{
"from": "gpt",
"value": "Found the percentage but forgot to add to 100%"
}
] |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 What is \\( 120 \\% \\) of \\( 50 \\) ? \\( 70 \\)"
},
{
"from": "gpt",
"value": "Added the values together instead of finding the percentage"
}
] |
[
{
"from": "human",
"value": "Calculate percentage of an amount mentally where the percent is greater than 100 What is \\( 120 \\% \\) of \\( 50 \\) ? You cannot have percentages greater than \\( 100 \\)"
},
{
"from": "gpt",
"value": "Does not understand that you can have percentages greater than... |
[
{
"from": "human",
"value": "Carry out division problems involving two negative integers \\( (-3) \\div(-5)= \\) \\( -0.6 \\)"
},
{
"from": "gpt",
"value": "Believes dividing a negative by a negative gives a negative answer"
}
] |
[
{
"from": "human",
"value": "Calculate a positive fractional gradient between two coordinates where all values are positive Max is working out the gradient between these two points. He has worked out the lengths of the triangle.\nWhat is the gradient? ![A coordinate grid with a right angled triangle drawn o... |
[
{
"from": "human",
"value": "Calculate a positive fractional gradient between two coordinates where all values are positive Max is working out the gradient between these two points. He has worked out the lengths of the triangle.\nWhat is the gradient? ![A coordinate grid with a right angled triangle drawn o... |
[
{
"from": "human",
"value": "Calculate a positive fractional gradient between two coordinates where all values are positive Max is working out the gradient between these two points. He has worked out the lengths of the triangle.\nWhat is the gradient? ![A coordinate grid with a right angled triangle drawn o... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 One of these quadratic equations will give no real solutions.\nWhich one? \\( \\frac{-6 \\pm \\sqrt{12}}{-3} \\)"
},
{
"from": "gpt",
"value": "Believes the discriminant must ... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 One of these quadratic equations will give no real solutions.\nWhich one? \\( \\frac{-6 \\pm \\sqrt{1200}}{3} \\)"
},
{
"from": "gpt",
"value": "Believes the discriminant must... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 One of these quadratic equations will give no real solutions.\nWhich one? \\( \\frac{-6 \\pm \\sqrt{0}}{3} \\)"
},
{
"from": "gpt",
"value": "Believes that a discriminant of 0... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "For a given algebraic input, find the output of a function machine Which of the following pairs of function machines are correct? ![2 function machines both with 4 rectangles in a row and joined by arrows pointing from left to right. The first function machine has \"p\" written ... |
[
{
"from": "human",
"value": "Find the whole amount given a percentage of the amount mentally What should replace the star? ![A number line from 0% to 100% with 20% labelled with 90 and a star above the 100%]() \\( 18 \\)"
},
{
"from": "gpt",
"value": "Identifies the wrong part of a fraction mode... |
[
{
"from": "human",
"value": "Identify whether two shapes are similar or not Tom and Katie are discussing similarity. Who is correct? Tom says these two rectangles are similar ![Two rectangles of different sizes. One rectangle has width 2cm and height 3cm. The other rectangle has width 4cm and height 9cm. ](... |
[
{
"from": "human",
"value": "Identify whether two shapes are similar or not Tom and Katie are discussing similarity. Who is correct? Tom says these two rectangles are similar ![Two rectangles of different sizes. One rectangle has width 2cm and height 3cm. The other rectangle has width 4cm and height 9cm. ](... |
[
{
"from": "human",
"value": "Identify whether two shapes are similar or not Tom and Katie are discussing similarity. Who is correct? Tom says these two rectangles are similar ![Two rectangles of different sizes. One rectangle has width 2cm and height 3cm. The other rectangle has width 4cm and height 9cm. ](... |
[
{
"from": "human",
"value": "Convert between cm and m How should you write \\( 5 \\) kilometres and \\( 7 \\) centimetres in metres? \\( 5070 \\mathrm{~m} \\)"
},
{
"from": "gpt",
"value": "Incorrectly converted cm to m"
}
] |
[
{
"from": "human",
"value": "Convert between cm and m How should you write \\( 5 \\) kilometres and \\( 7 \\) centimetres in metres? \\( 5007 \\mathrm{~m} \\)"
},
{
"from": "gpt",
"value": "Has forgotten to convert cm to m"
}
] |
[
{
"from": "human",
"value": "Convert between cm and m How should you write \\( 5 \\) kilometres and \\( 7 \\) centimetres in metres? \\( 5700 \\mathrm{~m} \\)"
},
{
"from": "gpt",
"value": "Incorrectly converted cm to m"
}
] |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression Multiply out the brackets: \\( m(2 m-7) \\) \\( 3 m-7 \\)"
},
{
"from": "gpt",
"value": "Adds instead of multiplying when expanding brack... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression Multiply out the brackets: \\( m(2 m-7) \\) \\( 2 m^{2}-7 \\)"
},
{
"from": "gpt",
"value": "Only multiplies the first term in the expans... |
[
{
"from": "human",
"value": "Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression Multiply out the brackets: \\( m(2 m-7) \\) \\( 3 m-7 m \\)"
},
{
"from": "gpt",
"value": "Believes you add the terms together when multi... |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 0.8+0.2= \\) \\( 10 \\)"
},
{
"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 \\( 0.8+0.2= \\) \\( 0.10 \\)"
},
{
"from": "gpt",
"value": "When adding, just writes the digit to the right of the number without considering place value"
}
] |
[
{
"from": "human",
"value": "Add decimals with the same number of decimals places \\( 0.8+0.2= \\) \\( 0.1 \\)"
},
{
"from": "gpt",
"value": "When two digits sum to 10 or more during addition of decimals, does not carry across decimal point to preceding digit."
}
] |
[
{
"from": "human",
"value": "Identify and count the faces, vertices and edges of a 3D shape How many faces does this shape have? ![\\( \\theta \\)]() \\( 2 \\)"
},
{
"from": "gpt",
"value": "Confuses the terms faces and edges"
}
] |
[
{
"from": "human",
"value": "Interpret a bar chart ![A bar chart with blue vertical bars. The x-axis is titled \"Fruits\" and the y-axis is titled \"Number of Children\" and its scale is from 0 to 50 in steps of 10. The bars represent the following numbers of children: Banana, 30; Apple, 20; Kiwi Fruits, 30... |
[
{
"from": "human",
"value": "For a given input find the output of a function machine Here is a function machine Input \\( \\longrightarrow \\times 5 \\longrightarrow-1 \\quad \\longrightarrow \\) Output What is the output when the input is \\( 9 ? \\) \\( 2 \\)"
},
{
"from": "gpt",
"value": "Whe... |
[
{
"from": "human",
"value": "For a given input find the output of a function machine Here is a function machine Input \\( \\longrightarrow \\times 5 \\longrightarrow-1 \\quad \\longrightarrow \\) Output What is the output when the input is \\( 9 ? \\) \\( 40 \\)"
},
{
"from": "gpt",
"value": "Do... |
[
{
"from": "human",
"value": "For a given input find the output of a function machine Here is a function machine Input \\( \\longrightarrow \\times 5 \\longrightarrow-1 \\quad \\longrightarrow \\) Output What is the output when the input is \\( 9 ? \\) \\( 36 \\)"
},
{
"from": "gpt",
"value": "In... |
[
{
"from": "human",
"value": "Multiply 3 digit integers by 2 digit integers using long multiplication What is a correct way to set up this problem to solve it using long multiplication?\n\\[\n128 \\times 26\n\\] ![128 multiplied by 26 set out to perform long multiplication. 26 is written under 128. The 2 of ... |
[
{
"from": "human",
"value": "Multiply 3 digit integers by 2 digit integers using long multiplication What is a correct way to set up this problem to solve it using long multiplication?\n\\[\n128 \\times 26\n\\] ![128 multiplied by 26 set out to perform long multiplication. 128 is written in 3 columns with 1... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using more than one angle fact Jane is trying to find the angles \\( x \\) and \\( y \\). Here are her workings. Which step is incorrect? ![A diagram showing parallel lines and two transversals. Some angles are given and one is labelled x]()... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using more than one angle fact Jane is trying to find the angles \\( x \\) and \\( y \\). Here are her workings. Which step is incorrect? ![A diagram showing parallel lines and two transversals. Some angles are given and one is labelled x]()... |
[
{
"from": "human",
"value": "Find missing angles on parallel lines using more than one angle fact Jane is trying to find the angles \\( x \\) and \\( y \\). Here are her workings. Which step is incorrect? ![A diagram showing parallel lines and two transversals. Some angles are given and one is labelled x]()... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising both the numerator and denominator Write the following as a single fraction, giving your answer as simply as possible: \\( \\frac{4 t^{2}-4 t-48}{8} \\times \\frac{2}{t-4} \\) \\( \\frac{t^{2}-t-12}{t-4} \\)"
},
{
"from": "gp... |
[
{
"from": "human",
"value": "Identify where negative non-integers lie on a number line Here is a number line: ![A horizontal number-line with 13 vertical, equally spaced, dashes representing the position of numbers. The 1st dash is labelled with \"-6\", the 3rd dash is labelled \"-4\", the 5th dash is label... |
[
{
"from": "human",
"value": "Identify where negative non-integers lie on a number line Here is a number line: ![A horizontal number-line with 13 vertical, equally spaced, dashes representing the position of numbers. The 1st dash is labelled with \"-6\", the 3rd dash is labelled \"-4\", the 5th dash is label... |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer ![Diagram of a thermometer showing positive and negative temperatures, with an arrow labelled +9 going from -3 up to 6]() Which of the following calculations is represented on the thermometer? \\( 3+6=9 \\)"
},
{
... |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer ![Diagram of a thermometer showing positive and negative temperatures, with an arrow labelled +9 going from -3 up to 6]() Which of the following calculations is represented on the thermometer? \\( 6+9=-3 \\)"
},
{
... |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer ![Diagram of a thermometer showing positive and negative temperatures, with an arrow labelled +9 going from -3 up to 6]() Which of the following calculations is represented on the thermometer? \\( -3+6=9 \\)"
},
{
... |
[
{
"from": "human",
"value": "Use facts about interior angles in triangles with algebra to solve equations Find the value of \\( x \\). ![A triangle with the angles labelled: 4x, 2x - 12 and 4x + 42]() \\( x=33^{\\circ} \\)"
},
{
"from": "gpt",
"value": "Believes angles in a triangle sum to 360 d... |
[
{
"from": "human",
"value": "Use facts about interior angles in triangles with algebra to solve equations Find the value of \\( x \\). ![A triangle with the angles labelled: 4x, 2x - 12 and 4x + 42]() \\( x=21^{\\circ} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses the same op... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Miran says the following:\n\n\"It doesn't matter if you do \\( \\mathbf{7} \\div \\mathbf{1 4 0} \\) or \\( \\mathbf{1 4 0} \\div \\mathbf{7} \\), you get the same answer\"\n\nWhat do you think? Miran is correct because division is co... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Miran says the following:\n\n\"It doesn't matter if you do \\( \\mathbf{7} \\div \\mathbf{1 4 0} \\) or \\( \\mathbf{1 4 0} \\div \\mathbf{7} \\), you get the same answer\"\n\nWhat do you think? Miran is incorrect because division is ... |
[
{
"from": "human",
"value": "Understand the non-commutativity of division Miran says the following:\n\n\"It doesn't matter if you do \\( \\mathbf{7} \\div \\mathbf{1 4 0} \\) or \\( \\mathbf{1 4 0} \\div \\mathbf{7} \\), you get the same answer\"\n\nWhat do you think? Miran is correct because division is no... |
[
{
"from": "human",
"value": "Identify a unit of area Tom and Katie are discussing units of area\nTom says centimetres is a unit of area\nKatie says \\( \\mathrm{mm}^{2} \\) is a unit of area\nWho is correct? Only\nTom"
},
{
"from": "gpt",
"value": "Does not know units of area should be squared"
... |
[
{
"from": "human",
"value": "Identify a unit of area Tom and Katie are discussing units of area\nTom says centimetres is a unit of area\nKatie says \\( \\mathrm{mm}^{2} \\) is a unit of area\nWho is correct? Both Tom and Katie"
},
{
"from": "gpt",
"value": "Does not know units of area should be ... |
[
{
"from": "human",
"value": "Identify a unit of area Tom and Katie are discussing units of area\nTom says centimetres is a unit of area\nKatie says \\( \\mathrm{mm}^{2} \\) is a unit of area\nWho is correct? Neither is correct"
},
{
"from": "gpt",
"value": "Does not know units of area should be ... |
[
{
"from": "human",
"value": "Solve comparison, sum and difference problems using information presented in pictograms This pictogram shows the different types of music Bob has in his music collection.\n\nHow many more Pop CDs does Bob have than Rock CDs? ![A pictogram showing the number of CDs Bob has in his... |
[
{
"from": "human",
"value": "Solve comparison, sum and difference problems using information presented in pictograms This pictogram shows the different types of music Bob has in his music collection.\n\nHow many more Pop CDs does Bob have than Rock CDs? ![A pictogram showing the number of CDs Bob has in his... |
[
{
"from": "human",
"value": "Carry out addition problems involving one negative integer What number belongs in the box?\n\\(\n(-11)+7=\n\\square\\) \\( -18 \\)"
},
{
"from": "gpt",
"value": "Counts on 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(-11)+7=\n\\square\\) \\( -5 \\)"
},
{
"from": "gpt",
"value": "Counts the starting number when counting on"
}
] |
[
{
"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\n\\[\ny=6-x\n\\] \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 8 \\) \\\\\n\\hline\... |
[
{
"from": "human",
"value": "Calculate unit fractions of an amount \\( \\frac{1}{8} \\) th of an hour \\( = _______ \\) minutes \\( 12.5 \\)"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour"
}
] |
[
{
"from": "human",
"value": "Label angles using correct 3-letter notation (e.g. angle ADB) Which of the following correctly describes the marked angle? ![An image of square ABCE with various triangles attached to it. The marked angle is between the lines CE and BC.]() BCA"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Label angles using correct 3-letter notation (e.g. angle ADB) Which of the following correctly describes the marked angle? ![An image of square ABCE with various triangles attached to it. The marked angle is between the lines CE and BC.]() CDB"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Label angles using correct 3-letter notation (e.g. angle ADB) Which of the following correctly describes the marked angle? ![An image of square ABCE with various triangles attached to it. The marked angle is between the lines CE and BC.]() None of these options"
},
{
"f... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the denominator Simplify the following: \\( \\frac{9 y^{3}}{6 y^{2}+3 y} \\) \\( \\frac{9 y^{2}}{6 y+3} \\)"
},
{
"from": "gpt",
"value": "Does not fully simplify fraction"
}
] |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the denominator Simplify the following: \\( \\frac{9 y^{3}}{6 y^{2}+3 y} \\) \\( \\frac{3 y}{2+y} \\)"
},
{
"from": "gpt",
"value": "Thinks you can divide terms by different factors when simplifying an algebraic fraction"... |
[
{
"from": "human",
"value": "Simplify an algebraic fraction by factorising the denominator Simplify the following: \\( \\frac{9 y^{3}}{6 y^{2}+3 y} \\) \\( \\frac{3 y^{3}}{2 y^{2}+3 y} \\)"
},
{
"from": "gpt",
"value": "Thinks you can divide terms by different factors when simplifying an algebra... |
[
{
"from": "human",
"value": "Find the area of rectilinear shapes by counting squares What can you say about the areas of the two squares? ![Two squares drawn on a grid. The blue square is three grid squares wide, and the three grid squares long. The red square is drawn diagonally, so that each side goes thr... |
[
{
"from": "human",
"value": "Find the area of rectilinear shapes by counting squares What can you say about the areas of the two squares? ![Two squares drawn on a grid. The blue square is three grid squares wide, and the three grid squares long. The red square is drawn diagonally, so that each side goes thr... |
[
{
"from": "human",
"value": "Find the area of rectilinear shapes by counting squares What can you say about the areas of the two squares? ![Two squares drawn on a grid. The blue square is three grid squares wide, and the three grid squares long. The red square is drawn diagonally, so that each side goes thr... |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle, 5cm by 12cm]() \\( 17 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
"value": "Adds when calculating area instead of multiplying"
}
] |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle, 5cm by 12cm]() \\( 34 \\mathrm{~cm}^{2} \\)"
},
{
"from": "gpt",
"value": "Calculates perimeter when asked for area"
}
] |
[
{
"from": "human",
"value": "Calculate the area of a rectangle where the dimensions are given in the same units What is the area of this rectangle? ![A rectangle, 5cm by 12cm]() Not enough information"
},
{
"from": "gpt",
"value": "Does not recall rectangle side length property"
}
] |
[
{
"from": "human",
"value": "Convert percentages containing 1 decimal place to fractions How do you write \\( 0.5 \\% \\) as a fraction? \\( \\frac{1}{2} \\)"
},
{
"from": "gpt",
"value": "Assumes that converting a decimal percentage to a fraction, they can just convert the decimal to a fraction... |
[
{
"from": "human",
"value": "Convert percentages containing 1 decimal place to fractions How do you write \\( 0.5 \\% \\) as a fraction? \\( \\frac{1}{20} \\)"
},
{
"from": "gpt",
"value": "Assumes decimal point can be ignored when given a decimal percentage to convert to a fraction"
}
] |
[
{
"from": "human",
"value": "Complete the square for expressions that end up in the form (x + a)² + b When Aaron completes the square, what should replace the star? \\( p^{2}-p-1 \\equiv(p \\bigstar )^{2} \\triangle \\) \\(\\bigstar =-2 \\)"
},
{
"from": "gpt",
"value": "When completing the squa... |
[
{
"from": "human",
"value": "Complete the square for expressions that end up in the form (x + a)² + b When Aaron completes the square, what should replace the star? \\( p^{2}-p-1 \\equiv(p \\bigstar )^{2} \\triangle \\) \\(\\bigstar =-1 \\)"
},
{
"from": "gpt",
"value": "When completing the squa... |
[
{
"from": "human",
"value": "Given the number of sides of a polygon identify the name If you continue to join up the intersections of the curves with straight lines, which of the following regular polygons could you have constructed? ![A circle has been intersected by curves at 5 equally spaced intervals ab... |
[
{
"from": "human",
"value": "Given the number of sides of a polygon identify the name If you continue to join up the intersections of the curves with straight lines, which of the following regular polygons could you have constructed? ![A circle has been intersected by curves at 5 equally spaced intervals ab... |
[
{
"from": "human",
"value": "Given the number of sides of a polygon identify the name If you continue to join up the intersections of the curves with straight lines, which of the following regular polygons could you have constructed? ![A circle has been intersected by curves at 5 equally spaced intervals ab... |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving powers or roots When \\( h=5 \\)\n\\(\nh^{2}=\n\\) \\( 10 \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving powers or roots When \\( h=5 \\)\n\\(\nh^{2}=\n\\) \\( 7 \\)"
},
{
"from": "gpt",
"value": "Believes squaring is the same as adding two"
}
] |
[
{
"from": "human",
"value": "Substitute positive integer values into expressions involving powers or roots When \\( h=5 \\)\n\\(\nh^{2}=\n\\) \\( 52 \\)"
},
{
"from": "gpt",
"value": "Writes the index as a digit on the end of a number"
}
] |
[
{
"from": "human",
"value": "Add surds in the form va + vb \\(\n\\sqrt{3}+\\sqrt{5}\n\\)\n\nSimplify, if possible. \\( 3 \\sqrt{5} \\)"
},
{
"from": "gpt",
"value": "When adding or subtracting surds, simplifies the surds correctly but puts the digits in the answer the wrong way round"
}
] |
[
{
"from": "human",
"value": "Add surds in the form va + vb \\(\n\\sqrt{3}+\\sqrt{5}\n\\)\n\nSimplify, if possible. \\( \\sqrt{8} \\)"
},
{
"from": "gpt",
"value": "When adding or subtracting surds, just adds or subtracts the numbers under the surd rather than first trying to simplifying to find ... |
[
{
"from": "human",
"value": "Add surds in the form va + vb \\(\n\\sqrt{3}+\\sqrt{5}\n\\)\n\nSimplify, if possible. \\( \\sqrt{15} \\)"
},
{
"from": "gpt",
"value": "When adding surds, just multiplies the numbers under the surd rather than first trying to simplifying to find like surds"
}
] |
[
{
"from": "human",
"value": "Use area to write algebraic expressions The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nWhich of the following equations can we write from the information given? ![A rectangle with the short side labelled \\(x\\) and the opposite side labelled \\(x^2 + ... |
[
{
"from": "human",
"value": "Use area to write algebraic expressions The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nWhich of the following equations can we write from the information given? ![A rectangle with the short side labelled \\(x\\) and the opposite side labelled \\(x^2 + ... |
[
{
"from": "human",
"value": "Use area to write algebraic expressions The area of the rectangle on the right is \\( 8 \\mathrm{~cm}^{2} \\).\n\nWhich of the following equations can we write from the information given? ![A rectangle with the short side labelled \\(x\\) and the opposite side labelled \\(x^2 + ... |
[
{
"from": "human",
"value": "Know the exact value of tan(30), tan(45) and tan(60) What is the exact value of \\( \\tan (30) \\) ? \\( \\sqrt{3} \\)"
},
{
"from": "gpt",
"value": "Misremembers the exact values of trigonometric functions at standard angles"
}
] |
[
{
"from": "human",
"value": "Know the exact value of tan(30), tan(45) and tan(60) What is the exact value of \\( \\tan (30) \\) ? \\( \\frac{\\sqrt{3}}{2} \\)"
},
{
"from": "gpt",
"value": "Misremembers the exact values of trigonometric functions at standard angles"
}
] |
[
{
"from": "human",
"value": "Know the exact value of tan(30), tan(45) and tan(60) What is the exact value of \\( \\tan (30) \\) ? \\( \\frac{1}{2} \\)"
},
{
"from": "gpt",
"value": "Misremembers the exact values of trigonometric functions at standard angles"
}
] |
[
{
"from": "human",
"value": "Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative Amy is trying to work out the distance between these two points: \\( (2,-5) \\) and \\( (-7,1) \\) She labels them like this: \\( \\begin{array}{cccc}x_{1} & y_{1... |
[
{
"from": "human",
"value": "Recognise and name a formula Which of the following is the most appropriate word to describe: \\( V=\\frac{1}{3} \\pi r^{2} h \\) ![A cone, with the dimensions labelled h and r]() Equation"
},
{
"from": "gpt",
"value": "Confuses a formula with an equation"
}
] |
[
{
"from": "human",
"value": "Recognise and name a formula Which of the following is the most appropriate word to describe: \\( V=\\frac{1}{3} \\pi r^{2} h \\) ![A cone, with the dimensions labelled h and r]() Variable"
},
{
"from": "gpt",
"value": "Confuses a variable with a formula"
}
] |
[
{
"from": "human",
"value": "Recognise and name a formula Which of the following is the most appropriate word to describe: \\( V=\\frac{1}{3} \\pi r^{2} h \\) ![A cone, with the dimensions labelled h and r]() Expression"
},
{
"from": "gpt",
"value": "Confuses a formula with an expression"
}
] |
[
{
"from": "human",
"value": "Rearrange formulae to change the subject where the subject appears once and two steps are needed Rearrange the following equation to make \\( v \\) the subject\n\\(F=\\frac{v^{2}}{r}\\) \\( v=r F^{2} \\)"
},
{
"from": "gpt",
"value": "When solving an equation, uses t... |
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