conversations listlengths 2 2 |
|---|
[
{
"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 Tom and Katie are discussing this sequence. ![The first 3 patterns in a sequence are shown. The first pattern is a blue rectangle with 6 yellow circles at... |
[
{
"from": "human",
"value": "Understand the relationship between parts of a ratio Tom and Katie are arguing about the information on the right.\n\nTom says there are \\( 9 \\) times as many students as teachers.\n\nKatie says one in ten people are teachers.\nWho is correct? On a school trip, the ratio of te... |
[
{
"from": "human",
"value": "Understand the relationship between parts of a ratio Tom and Katie are arguing about the information on the right.\n\nTom says there are \\( 9 \\) times as many students as teachers.\n\nKatie says one in ten people are teachers.\nWho is correct? On a school trip, the ratio of te... |
[
{
"from": "human",
"value": "Understand the relationship between parts of a ratio Tom and Katie are arguing about the information on the right.\n\nTom says there are \\( 9 \\) times as many students as teachers.\n\nKatie says one in ten people are teachers.\nWho is correct? On a school trip, the ratio of te... |
[
{
"from": "human",
"value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=10-\\frac{1}{x_{n}}\n\\)\n\nUsing a starting value of \\( x_{1}=4 \\), what is the value of \\( x_{2} \\) ? \\( 9.8974 \\ldots \\)"
},
{
"from": "gpt",
"value": "When asked for a specific term in a seque... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form What is the equation of this curve? ![A set of axes with a quadratic graph drawn on. The graph is y=x^2 translated 2 squares to the left and 5 squares down.]() \\( y=(x+2)^{2}+5 ... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form What is the equation of this curve? ![A set of axes with a quadratic graph drawn on. The graph is y=x^2 translated 2 squares to the left and 5 squares down.]() \\( y=(x-2)^{2}+5 ... |
[
{
"from": "human",
"value": "Given a sketch of a quadratic graph in the form (x + p)² + q, work out its completed the square form What is the equation of this curve? ![A set of axes with a quadratic graph drawn on. The graph is y=x^2 translated 2 squares to the left and 5 squares down.]() \\( y=(x-2)^{2}-5 ... |
[
{
"from": "human",
"value": "Identify perpendicular lines written in the form y = mx + c Which of the following lines is perpendicular to\n\\[\ny=2 x+1 \\text { ? }\n\\] \\( y=2 x-1 \\)"
},
{
"from": "gpt",
"value": "Confuses the meaning of parallel and perpendicular"
}
] |
[
{
"from": "human",
"value": "Identify perpendicular lines written in the form y = mx + c Which of the following lines is perpendicular to\n\\[\ny=2 x+1 \\text { ? }\n\\] \\( x=2 y+1 \\)"
},
{
"from": "gpt",
"value": "Believes switching the x and y variables in a linear equation gives a perpendic... |
[
{
"from": "human",
"value": "Identify perpendicular lines written in the form y = mx + c Which of the following lines is perpendicular to\n\\[\ny=2 x+1 \\text { ? }\n\\] \\( y=\\frac{1}{2} x-3 \\)"
},
{
"from": "gpt",
"value": "Believes the gradients of perpendicular lines are reciprocals of the... |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following words is the correct description for:\n\\(x+3=5 ?\\) Formula"
},
{
"from": "gpt",
"value": "Confuses a formula with an equation"
}
] |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following words is the correct description for:\n\\(x+3=5 ?\\) Identity"
},
{
"from": "gpt",
"value": "Confuses an equation with an identity"
}
] |
[
{
"from": "human",
"value": "Recognise and name an equation Which of the following words is the correct description for:\n\\(x+3=5 ?\\) Expression"
},
{
"from": "gpt",
"value": "Confuses an equation with an expression"
}
] |
[
{
"from": "human",
"value": "Round numbers to an appropriate degree to estimate the answer to a calculation Tom and Katie are discussing using estimation when multiplying\nTom says \\( 82 \\times 4<320 \\)\nKatie says \\( 41 \\times 8>320 \\)\nWithout calculating the exact answers, who is correct? Only Tom"... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a parallelogram\nKatie says it is a rhombus\nWho do you agree with? ![Pink parallelogram with parallel sides labelled]() Only Katie"
},
{
"from": "gpt",
"... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a parallelogram\nKatie says it is a rhombus\nWho do you agree with? ![Pink parallelogram with parallel sides labelled]() Both Tom and Katie"
},
{
"from": "gpt... |
[
{
"from": "human",
"value": "Sort and class quadrilaterals into hierarchical families Tom and Katie are discussing this shape\nTom says it is a parallelogram\nKatie says it is a rhombus\nWho do you agree with? ![Pink parallelogram with parallel sides labelled]() Neither is correct"
},
{
"from": "gpt... |
[
{
"from": "human",
"value": "Identify factors of a number Tom and Katie are discussing the conjecture:\n\nAll numbers have an even number of factors because factors come in pairs\n\nTom says a counter-example is \\( 24 \\)\n\nKatie says a counter-example is \\( 16 \\)\n\nWho do you agree with? Only Tom"
}... |
[
{
"from": "human",
"value": "Find 100 less than a given number What number is \\( 100 \\) less than \\( 325,076 \\) ? \\( 3250.76 \\)"
},
{
"from": "gpt",
"value": "Divides rather than subtracts when given the command 'less than'"
}
] |
[
{
"from": "human",
"value": "Find 100 less than a given number What number is \\( 100 \\) less than \\( 325,076 \\) ? \\( 325,176 \\)"
},
{
"from": "gpt",
"value": "Adds rather than subtracts when answering worded problems"
}
] |
[
{
"from": "human",
"value": "Find 100 less than a given number What number is \\( 100 \\) less than \\( 325,076 \\) ? \\( 324,076 \\)"
},
{
"from": "gpt",
"value": "When subtracting a power of 10, subtracts from the wrong column"
}
] |
[
{
"from": "human",
"value": "Solve coordinate geometry questions involving ratio What is the ratio of\n\\[\nA B: B C \\text { ? }\n\\] ![A line AC which is 10 units long. B is on it so that AB:BC is 1:2]() \\( 1: 3 \\)"
},
{
"from": "gpt",
"value": "Thinks ratios are written as 1:total"
}
] |
[
{
"from": "human",
"value": "Recognise when a square root is a surd and when it is not Which of the following is not a surd? \\( \\sqrt{45} \\)"
},
{
"from": "gpt",
"value": "Does not recognise that a surd will simplify to a whole number and not longer be a surd if the number under the surd is a... |
[
{
"from": "human",
"value": "Recognise when a square root is a surd and when it is not Which of the following is not a surd? \\( \\sqrt{47} \\)"
},
{
"from": "gpt",
"value": "Does not recognise that a surd will simplify to a whole number and not longer be a surd if the number under the surd is a... |
[
{
"from": "human",
"value": "Recognise when a square root is a surd and when it is not Which of the following is not a surd? \\( \\sqrt{51} \\)"
},
{
"from": "gpt",
"value": "Does not recognise that a surd will simplify to a whole number and not longer be a surd if the number under the surd is a... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division What does the following equal?\n\n\\(\n3 \\times 5+4-2\n\\) \\( 25 \\)"
},
{
"from": "gpt",
"value": "Performs addition ahead of multiplication"
}... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division What does the following equal?\n\n\\(\n3 \\times 5+4-2\n\\) \\( 21 \\)"
},
{
"from": "gpt",
"value": "Performs addition ahead of multiplication"
}... |
[
{
"from": "human",
"value": "Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division What does the following equal?\n\n\\(\n3 \\times 5+4-2\n\\) \\( 9 \\)"
},
{
"from": "gpt",
"value": "Believes order of operations does not affect th... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape ![This shape is a line drawing of 2 ellipses whose centres, marked with a black dot, are lined up, but one ellipse is at right angles to the other.]() What is the order of rotational symmetry of this shape? \\( 0 \\)"
},
{... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape ![This shape is a line drawing of 2 ellipses whose centres, marked with a black dot, are lined up, but one ellipse is at right angles to the other.]() What is the order of rotational symmetry of this shape? \\( 1 \\)"
},
{... |
[
{
"from": "human",
"value": "Identify the order of rotational symmetry of a shape ![This shape is a line drawing of 2 ellipses whose centres, marked with a black dot, are lined up, but one ellipse is at right angles to the other.]() What is the order of rotational symmetry of this shape? \\( 2 \\)"
},
{... |
[
{
"from": "human",
"value": "Write a missing term of a descending integer linear sequence \\begin{tabular}{lclclclc|c|} \\hline \\(\\bigstar\\) & \\( \\;\\) & 712 & \\( \\;\\) & \\( \\;\\)\\end{tabular} A descending linear sequence has a constant difference of \\( 22 \\) and the \\( 3^{\\text {rd }} \\) te... |
[
{
"from": "human",
"value": "Write a missing term of a descending integer linear sequence \\begin{tabular}{lclclclc|c|} \\hline \\(\\bigstar\\) & \\( \\;\\) & 712 & \\( \\;\\) & \\( \\;\\)\\end{tabular} A descending linear sequence has a constant difference of \\( 22 \\) and the \\( 3^{\\text {rd }} \\) te... |
[
{
"from": "human",
"value": "Write a missing term of a descending integer linear sequence \\begin{tabular}{lclclclc|c|} \\hline \\(\\bigstar\\) & \\( \\;\\) & 712 & \\( \\;\\) & \\( \\;\\)\\end{tabular} A descending linear sequence has a constant difference of \\( 22 \\) and the \\( 3^{\\text {rd }} \\) te... |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed \\( 4514-328= \\) \\( 4196 \\)"
},
{
"from": "gpt",
"value": "When “borrowing” during a subtraction problem, does not subtract one from the preceding digit"
}
] |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed \\( 4514-328= \\) \\( 1234 \\)"
},
{
"from": "gpt",
"value": "Lines up the digits incorrectly when doing a subtraction involving two numbers with a different amount of digits"
}
] |
[
{
"from": "human",
"value": "Subtract integers up to 4 digits using a written method where carrying is needed \\( 4514-328= \\) \\( 4214 \\)"
},
{
"from": "gpt",
"value": "Subtracts the smallest digit from the largest digit"
}
] |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph This graph shows how much a block of ice melted over time. ![A line graph with the x-axis titled \"Time (minutes)\". The x-axis scale is labelled from 0 to 5 in steps of 1 minute.\nThe y-axis is titled \"Water depth (cm)\" and the sca... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph This graph shows how much a block of ice melted over time. ![A line graph with the x-axis titled \"Time (minutes)\". The x-axis scale is labelled from 0 to 5 in steps of 1 minute.\nThe y-axis is titled \"Water depth (cm)\" and the sca... |
[
{
"from": "human",
"value": "Interpret continuous data using a line graph This graph shows how much a block of ice melted over time. ![A line graph with the x-axis titled \"Time (minutes)\". The x-axis scale is labelled from 0 to 5 in steps of 1 minute.\nThe y-axis is titled \"Water depth (cm)\" and the sca... |
[
{
"from": "human",
"value": "Convert between g and mg \\( 30 \\) grams = \\(\\bigstar \\) milligrams What should replace the star? \\( 3000 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 100 mg in a gram"
}
] |
[
{
"from": "human",
"value": "Convert between g and mg \\( 30 \\) grams = \\(\\bigstar \\) milligrams What should replace the star? \\( 300 \\)"
},
{
"from": "gpt",
"value": "Thinks there are 10 mg in a gram"
}
] |
[
{
"from": "human",
"value": "Convert between g and mg \\( 30 \\) grams = \\(\\bigstar \\) milligrams What should replace the star? \\( 0.03 \\)"
},
{
"from": "gpt",
"value": "Divides when converting to a smaller unit"
}
] |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators which do not share a common factor Tom and Katie are discussing how to work out the answer to \\( \\frac{5}{6}-\\frac{1}{3} \\)\nTom says you could change both denominators to \\( 6 \\)\nKatie says you could change both denom... |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators which do not share a common factor Tom and Katie are discussing how to work out the answer to \\( \\frac{5}{6}-\\frac{1}{3} \\)\nTom says you could change both denominators to \\( 6 \\)\nKatie says you could change both denom... |
[
{
"from": "human",
"value": "Subtract proper fractions with different denominators which do not share a common factor Tom and Katie are discussing how to work out the answer to \\( \\frac{5}{6}-\\frac{1}{3} \\)\nTom says you could change both denominators to \\( 6 \\)\nKatie says you could change both denom... |
[
{
"from": "human",
"value": "Change an integer base number to another integer base number with a positive integer power Jo and Paul are arguing about powers.\nJo says \\( 9^{4}=3^{8} \\)\nPaul says \\( 9^{4}=3^{2} \\times 3^{2} \\)\nWho is correct? Both Jo and Paul"
},
{
"from": "gpt",
"value": ... |
[
{
"from": "human",
"value": "Change an integer base number to another integer base number with a positive integer power Jo and Paul are arguing about powers.\nJo says \\( 9^{4}=3^{8} \\)\nPaul says \\( 9^{4}=3^{2} \\times 3^{2} \\)\nWho is correct? Neither is correct"
},
{
"from": "gpt",
"value"... |
[
{
"from": "human",
"value": "Interpret horizontal 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 horizontal represent? ![The image is a distance-time graph. The graph is in three sections. The first section starts at (0,0) and i... |
[
{
"from": "human",
"value": "Interpret horizontal 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 horizontal represent? ![The image is a distance-time graph. The graph is in three sections. The first section starts at (0,0) and i... |
[
{
"from": "human",
"value": "Interpret horizontal 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 horizontal represent? ![The image is a distance-time graph. The graph is in three sections. The first section starts at (0,0) and i... |
[
{
"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 \\( 4(3 c+2) \\) \\( 12 c+6 \\)"
},
{
"from": "gpt",
"value": "When expanding brackets, multiplies out the first term correctly but adds... |
[
{
"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 \\( 4(3 c+2) \\) \\( 12 c+2 \\)"
},
{
"from": "gpt",
"value": "Only multiplies the first term in the expansion of a bracket"
}
] |
[
{
"from": "human",
"value": "Convert from hours to minutes A school trip lasted \\( 5 \\) hours and \\( 25 \\) minutes. How long is this in minutes? \\( 525 \\) minutes"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when changing from hours to minutes"
}
] |
[
{
"from": "human",
"value": "Convert from hours to minutes A school trip lasted \\( 5 \\) hours and \\( 25 \\) minutes. How long is this in minutes? \\( 5.25 \\) minutes"
},
{
"from": "gpt",
"value": "Answers as if there are 100 minutes in an hour when writing minutes as decimals"
}
] |
[
{
"from": "human",
"value": "Interpret a pie chart The pie chart shows colours of motorbikes in a shop.\n\nThere are \\( \\mathbf{3 0} \\) more blue bikes than white. How many bikes are there altogether? ![Pie chart with 8 equal sections. One section is black, one white, three green and three blue.]() \\( 1... |
[
{
"from": "human",
"value": "Interpret a pie chart The pie chart shows colours of motorbikes in a shop.\n\nThere are \\( \\mathbf{3 0} \\) more blue bikes than white. How many bikes are there altogether? ![Pie chart with 8 equal sections. One section is black, one white, three green and three blue.]() \\( 2... |
[
{
"from": "human",
"value": "Multiply 2 digit integers by 2 digit integers using long multiplication Which working out is correct for $72 \\times 36$? ![ Long multiplication for 72 multiplied by 36 with incorrect working and incorrect final answer. First row of working is incorrect: 4 2 2. Second row of wor... |
[
{
"from": "human",
"value": "Multiply 2 digit integers by 2 digit integers using long multiplication Which working out is correct for $72 \\times 36$? ![ Long multiplication for 72 multiplied by 36 with incorrect working and incorrect final answer. First row of working is correct: 4 3 2. Second row of worki... |
[
{
"from": "human",
"value": "Interpret a bar chart The bar chart shows the number of cups of tea and coffee sold in a café over \\( 4 \\) days.\n\nHow many cups of coffee were sold on Wednesday? ![A dual bar chart showing number of cups of tea and coffee sold Monday to Thursday. On Monday 25 teas and 38 cof... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental subtraction Tom and Katie are discussing mental addition and subtraction strategies.\n\nTom says a good way to add \\( 9 \\) is to add \\( 10 \\) and then subtract \\( 1 \\).\n\nKatie says a good way to subtract \\( 9 \\) is to s... |
[
{
"from": "human",
"value": "Recognise and use efficient strategies for mental subtraction Tom and Katie are discussing mental addition and subtraction strategies.\n\nTom says a good way to add \\( 9 \\) is to add \\( 10 \\) and then subtract \\( 1 \\).\n\nKatie says a good way to subtract \\( 9 \\) is to s... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Vera wants to solve this equation using the quadratic formula.\n\\(\n3 h^{2}-10 h+4=0\n\\)\n\nWhat should replace the square? \\( \\frac{?\\pm \\sqrt{?-\\square}}{?} \\) \\( 12 \\)"
},
... |
[
{
"from": "human",
"value": "Solve quadratic equations using the quadratic formula where the coefficient of x² is not 1 Vera wants to solve this equation using the quadratic formula.\n\\(\n3 h^{2}-10 h+4=0\n\\)\n\nWhat should replace the square? \\( \\frac{?\\pm \\sqrt{?-\\square}}{?} \\) \\( 11 \\)"
},
... |
[
{
"from": "human",
"value": "Carry out the first stage in an iteration solution \\(\nx_{n+1}=\\sqrt{\\frac{1}{x_{n}+11}}\n\\)\n\nUsing a starting value of \\( x_{1}=0.6 \\), what is the value of \\( x_{2} \\) ? \\( 0.2975 \\ldots \\)"
},
{
"from": "gpt",
"value": "When asked for a specific term ... |
[
{
"from": "human",
"value": "Given a positive y value, find an x value in a table of values for lines in the form y = mx + c This is a part of the table of values for the equation\n\\[\ny=10-6 x\n\\] \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 0 \\) \\\\\n\\hli... |
[
{
"from": "human",
"value": "Given a positive y value, find an x value in a table of values for lines in the form y = mx + c This is a part of the table of values for the equation\n\\[\ny=10-6 x\n\\] \\begin{tabular}{|l|l|}\n\\hline\\( x \\) & \\( \\bigstar \\) \\\\\n\\hline\\( y \\) & \\( 0 \\) \\\\\n\\hli... |
[
{
"from": "human",
"value": "Perform calculations with temperature when given in the same units Which statement about the temperatures \\( -7^{\\circ} \\mathrm{C} \\) and \\( 5^{\\circ} \\mathrm{C} \\) is true? \\( 5^{\\circ} \\mathrm{C} \\) is \\( 2^{\\circ} \\mathrm{C} \\) \ncolder than \n\\( -7^{\\circ} ... |
[
{
"from": "human",
"value": "Perform calculations with temperature when given in the same units Which statement about the temperatures \\( -7^{\\circ} \\mathrm{C} \\) and \\( 5^{\\circ} \\mathrm{C} \\) is true? \\( 5^{\\circ} \\mathrm{C} \\) is \\( 12^{\\circ} \\mathrm{C} \\) \ncolder than \n\\( -7^{\\circ}... |
[
{
"from": "human",
"value": "Perform calculations with temperature when given in the same units Which statement about the temperatures \\( -7^{\\circ} \\mathrm{C} \\) and \\( 5^{\\circ} \\mathrm{C} \\) is true? \\( 5^{\\circ} \\mathrm{C} \\) is \\( 2^{\\circ} \\mathrm{C} \\)\nhotter than\n\\( -7^{\\circ} \\... |
[
{
"from": "human",
"value": "Solve linear simultaneous equations requiring no scaling of expressions Solve the following pair of simultaneous equations: \\( \\begin{array}{l}3 x+2 y=14 \\\\ 2 x+2 y=10\\end{array} \\) \\( \\begin{array}{l}x=4 \\\\ y=2\\end{array} \\)"
},
{
"from": "gpt",
"value":... |
[
{
"from": "human",
"value": "Identify command words that mean addition For which of these questions would you calculate \\( 50+25 \\) ? Decrease \\( 50 \\) by \\( 25 \\)."
},
{
"from": "gpt",
"value": "Adds rather than subtracts when answering worded problems"
}
] |
[
{
"from": "human",
"value": "Identify command words that mean addition For which of these questions would you calculate \\( 50+25 \\) ? Find the product of \\( 50 \\) and \\( 25 \\)."
},
{
"from": "gpt",
"value": "Adds rather than multiplies when asked for a product"
}
] |
[
{
"from": "human",
"value": "Identify command words that mean addition For which of these questions would you calculate \\( 50+25 \\) ? How many \\( 25 \\) s are there in \\( 50 ? \\)"
},
{
"from": "gpt",
"value": "Adds rather than divides when answering worded problems"
}
] |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Calculate the square of a number ![A function machine with 3 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and says \"input\" above it. The middle rectangle has \"square root\" written inside it and the final rectangl... |
[
{
"from": "human",
"value": "Convert percentages containing 1 decimal place to decimals How do you write \\( 2.5 \\% \\) as a decimal? \\( 0.25 \\)"
},
{
"from": "gpt",
"value": "Divides by 10 instead of 100 when converting a percentage to a decimal "
}
] |
[
{
"from": "human",
"value": "Convert percentages containing 1 decimal place to decimals How do you write \\( 2.5 \\% \\) as a decimal? \\( 2.5 \\)"
},
{
"from": "gpt",
"value": "Thinks you need to just remove the percentage sign to convert from a percentage to a decimal"
}
] |
[
{
"from": "human",
"value": "Complete a symmetric figure with respect to a specific line of symmetry Which image completes a symmetric figure on the Geo board? ![A figure drawn in one half of a box, with a red dotted line running diagonally across the box. ]() ![An incorrect reflection of the given figure. ... |
[
{
"from": "human",
"value": "Complete a symmetric figure with respect to a specific line of symmetry Which image completes a symmetric figure on the Geo board? ![A figure drawn in one half of a box, with a red dotted line running diagonally across the box. ]() ![An incorrect reflection of the given figure. ... |
[
{
"from": "human",
"value": "Complete a symmetric figure with respect to a specific line of symmetry Which image completes a symmetric figure on the Geo board? ![A figure drawn in one half of a box, with a red dotted line running diagonally across the box. ]() ![An incorrect reflection of the given figure. ... |
[
{
"from": "human",
"value": "Convert fractions to ratios \\( \\frac{1}{5} \\) of the counters in a bag are blue.\n\\( \\frac{3}{10} \\) of the counters are red.\n\\( \\frac{1}{2} \\) of the counters are purple.\nWhich of these show the ratio of blue : red : purple? ![An image of a bag]() \\( 1: 3: 1 \\)"
... |
[
{
"from": "human",
"value": "Convert fractions to ratios \\( \\frac{1}{5} \\) of the counters in a bag are blue.\n\\( \\frac{3}{10} \\) of the counters are red.\n\\( \\frac{1}{2} \\) of the counters are purple.\nWhich of these show the ratio of blue : red : purple? ![An image of a bag]() \\( 5: 10: 2 \\)"
... |
[
{
"from": "human",
"value": "Construct frequency tables Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & ... |
[
{
"from": "human",
"value": "Construct frequency tables Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & ... |
[
{
"from": "human",
"value": "Construct frequency tables Dave has recorded the number of pets his classmates have in the frequency table on the right. \\begin{tabular}{|c|c|}\n\\hline Number of pets & Frequency \\\\\n\\hline \\( 0 \\) & \\( 4 \\) \\\\\n\\hline \\( 1 \\) & \\( 6 \\) \\\\\n\\hline \\( 2 \\) & ... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 15.983 \\)"
},
{
"from": "gpt",
"value": "Rounds to wrong degree of accuracy (decimal places ra... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 0.0199 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is th... |
[
{
"from": "human",
"value": "Round numbers between 0 and 1 to two significant figures Which of the numbers is the same when rounded to \\( 2 \\) decimal places or to \\( 2 \\) significant figures? \\( 0.038 \\)"
},
{
"from": "gpt",
"value": "Does not understand the first significant value is the... |
[
{
"from": "human",
"value": "Calculate the cube of a number \\( 100^{3}= \\) \\( 100000 \\)"
},
{
"from": "gpt",
"value": "Mixes up cubing with multiplying by 10"
}
] |
[
{
"from": "human",
"value": "Calculate the cube of a number \\( 100^{3}= \\) \\( 1003 \\)"
},
{
"from": "gpt",
"value": "Writes the index as a digit on the end of a number"
}
] |
[
{
"from": "human",
"value": "Calculate the cube of a number \\( 100^{3}= \\) \\( 300 \\)"
},
{
"from": "gpt",
"value": "Multiplies by the index"
}
] |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Julie wants to estimate the answer to this calculation by rounding each number to \\( 1 \\) significant figure.\n\n\\[\n0.5841 \\times 36.3\n\\]\n\nWhat number should replace \\( \\mathbf{0 . ... |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Julie wants to estimate the answer to this calculation by rounding each number to \\( 1 \\) significant figure.\n\n\\[\n0.5841 \\times 36.3\n\\]\n\nWhat number should replace \\( \\mathbf{0 . ... |
[
{
"from": "human",
"value": "Round the elements of a calculation to one significant figure to perform an estimation Julie wants to estimate the answer to this calculation by rounding each number to \\( 1 \\) significant figure.\n\n\\[\n0.5841 \\times 36.3\n\\]\n\nWhat number should replace \\( \\mathbf{0 . ... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the two shorter side lengths given as 7cm and 10cm. The length of the longest s... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the two shorter side lengths given as 7cm and 10cm. The length of the longest s... |
[
{
"from": "human",
"value": "Identify questions involving a 2D right-angled triangle that require the use of the Tangent (tan) ratio Which ratio would you use to find the value of \\( \\theta \\) ? ![A right angled triangle with the two shorter side lengths given as 7cm and 10cm. The length of the longest s... |
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