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Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Lovkush Agarwal 6 years, 3 months ago
Created this as a copy of CLE8. True false.There are 88 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| statements_true | list |
List of 79 items
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| statements_false | list |
List of 79 items
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| max_mark | integer |
20
|
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| n | integer |
50
|
||||
| a | integer |
7
|
||||
| b | rational |
173/10
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||||
| c | integer |
7
|
| Name | Type | Generated Value |
|---|
| rand | list |
List of 50 items
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| rand2 | list |
List of 79 items
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| statements | list |
List of 50 items
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| marks | matrix |
Matrix of size 50×2
|
| Name | Type | Generated Value |
|---|
Generated value: list
[ "Solving an equation means finding all values of the unknown which makes the equation true", "To divide by a fraction, you do not need to make the denominators equal first", "Dividing by $\\frac{1}{7}$ is the same as multiplying by $7$", "The circumference of a circle of radius $r$ is $2\\pi r$", "Dividing by $0.01$ is the same as multiplying by $100$", "To get from $\\var{a}^{\\var{b}}$ to $\\var{a}^{\\var{b+1}}$, you multiply by $\\var{a}$", "$\\log_2(8) = 3$ because $2^3=8$", "$-\\var{c}^2$ equals $-\\var{c^2}$", "$\\sqrt{\\var{(c-1)^2}}$ equals $\\var{c-1}$, not $-\\var{c-1}$", "$a(b+c)=ab+ac$", "$\\sin(b+c) \\neq \\sin(b) + \\sin(c) $", "$\\sqrt{b+c} \\neq \\sqrt{b} + \\sqrt{c}$", "$(b+c)^4 \\neq b^4 + c^4$", "$\\frac{b+c}{a} = \\frac{b}{a} + \\frac{c}{a}$", "$\\frac{a}{b+c} \\neq \\frac{a}{b} + \\frac{a}{c}$", "$\\sin(\\theta)$ can never be bigger than $1$", "$\\tan(\\theta)$ can be bigger than $1$", "If $0<\\theta<45^{\\circ}$, then the length of the opposite of the angle is shorter than the adjacent.", "$\\Delta L$ means the change in $L$", "A solution of an equation is a value of the unknown quantity that makes the equation true", "Increasing $X$ by $3\\%$ is the same as multiplying $X$ by $1.03$", "In the context of coordinates, $O$ represents the origin", "When handwritten, a variable representing a vector should be underlined or have an arrow above it", "$\\vec{AB}$ represents the vector joining $A$ to $B$", "If $45<\\theta<90^{\\circ}$ in a right-angled triangle, then the length of the opposite of the angle is larger than the adjacent.", "If the discriminant of a quadratic equation is 0, the equation has one solution", "In a quadratic, if the coefficient of the squared term is negative, then the graph of the quadratic will be concave", "A quadratic equation can have zero, one or two solutions", "The gradient of a straight line tells you how far you move up if you move to the right by 1", "The gradient of a straight line is $\\frac{\\Delta y}{\\Delta x}$ ", "$\\tan(b+c) \\neq \\tan(b) + \\tan(c) $", "A straight line has equation $y=-x+c$. This means the gradient is $-1$", "After finishing a question, where possible, you should check your answer", "If the discriminant of a quadratic equation is less than 0, the equation has no solutions", "If $f$ is a function, then $f(5)$ represents the output of $f$ when you input $5$", "$|-10| = 10$", "On the graph of a function $g$, if the $x$-coordinate is $7$, then the $y$-coordinate is $g(7)$", "$5^{a} \\times 5^{b} = 5^{a+b}$", "$5^{a} \\div 5^{b} = 5^{a-b}$", "$5^{ab} = (5^{a})^{b}$ ", "$5^0=1$ ", "$5^1=5$", "$5^{-3}=\\frac{1}{5^3}$", "$5^{1/3} = \\sqrt[3]{5}$", "$\\log(a+b) \\neq \\log(a)+\\log(b)$", "$\\log(ab) = \\log(a)+\\log(b)$", "$\\log(a)-\\log(b) = \\log(\\frac{a}{b})$", "$-\\log(\\frac{a}{b}) = \\log(\\frac{b}{a})$", "$\\frac{\\log(a)}{\\log(b)} \\neq \\log(\\frac{a}{b})$", "$e^{a+b} \\neq e^{a} + e^{b}$", "$(e^a)^b = e^{ab}$", "$\\sin(0)=0 $", "$\\cos(0)=1 $", "$\\sin(\\pi)=0$", "$\\cos(\\pi)=-1 $", "$\\sin(\\frac{\\pi}{2})=1$", "$\\cos(\\frac{\\pi}{2})=0 $", "When finding an angle using the sine rule, you have to think about if the angle is bigger or smaller than $90^{\\circ}$", "If $f$ is a function, then $f^{-1}$ is the function that undoes $f$", "If $x$ is a number, then $x^{-1}$ equals $\\frac{1}{x}$", "$f(g(x))$ means first do $g$ and then do $f$", "When solving $\\sin(x)=0.1$, $\\sin^{-1}(0.1)$ gives you only one solution", "To show you can add multiples of $2\\pi$, we write `$+2n\\pi$ where $n$ is any whole number\' ", "Trigonometric equations have infinitely many solutions", "If the gradient on a curve is $m$, then $\\Delta y \\approx m \\Delta x$", "$\\delta x$ means `a small change in $x$\' ", "$\\log(ab) = \\log(a)+\\log(b)$", "$\\sin(ab) \\neq \\sin(a) \\sin(b)$", "$\\sqrt{ab} = \\sqrt{a}\\sqrt{b}$", "$\\dfrac{\\sqrt{a}}{b} = \\sqrt{\\dfrac{a}{b^2}}$", "\'$ ^nC_r$\' is pronounced \'$n$ choose $r$ \' ", "\'$ n!$\' is pronounced \'$n$ factorial \' ", "$ \\dfrac{6!}{3!} = 6 \\cdot 5 \\cdot 4$", "To get from a graph of $f(x)$ to a graph of $f(x)+3$, you translate up by 3", "To get from a graph of $f(x)$ to a graph of $f(x+3)$, you translate left by 3", "To get from a graph of $f(x)$ to a graph of $f(x-3)$, you translate right by 3", "To get from a graph of $f(x)$ to a graph of $3*f(x)$, you stretch vertically by a factor of 3", "To get from a graph of $f(x)$ to a graph of $f(3x)$, you compress horizontally by a factor of 3", "To get from a graph of $f(x)$ to a graph of $f(\\frac{1}{3}x)$, you stretch horizontally by a factor of 3" ]
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→ Used by:
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Match choices with answers
Ask the student a question, and give any hints about how they should answer this part.
Which of the following are true and which are false? There are 20 marks available. Each error will cost 4 marks.
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True
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False
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