No questions found
Change $\frac{7}{25}$ to a percentage. .......................................\% [1]
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\(|x| = 5\)
Write down the two possible values of \(x\).
\(x = \text{.....................}\) or \(x = \text{.....................} \quad [1]\)
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These are the first four terms of a sequence.
15\ \ 11\ \ 7\ \ 3
Find
(a) the next term, ..................................................... [1]
(b) the $n^{th}$ term. .................................................. [2]
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Work out $\frac{4 \times 10^7}{8 \times 10^{22}}$.
Give your answer in standard form.
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$v = u + at$
Rearrange the formula to write $t$ in terms of $a$, $u$ and $v$.
$t = \text{...............................}$ [2]
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Simplify.
(a) $8y^8 \div 2y^2$ ........................................[2]
(b) $(2w^2)^5$ ........................................[2]
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A, B, C, D \text{ and } E \text{ lie on the circle.}
\text{Angle } BCE = 75^\circ.
\text{Find the value of } p \text{ and the value of } q.
\begin{align*} p &= \text{.......................} \\ q &= \text{....................... [2]} \end{align*}
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Given:
$$y = x + 1$$ and $$y = 2 - x$$
Find the value of $$x$$.
$$x = \text{.........................}$$ [2]
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Each diagram shows the graph of $y = f(x)$.
On each diagram, sketch the function indicated.
[Image_1: Left graph shows $y = f(x) - 2$; Right graph shows $y = -f(x)$]
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(a) Simplify.
$$(4 - \sqrt{3})(4 + \sqrt{3})$$ .............................................................. [2]
(b) Rationalise the denominator.
$$\frac{5}{\sqrt{7}}$$ .............................................................. [1]
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Factorise.
(a) $p^2 - p - 30$ ...................................................[2]
(b) $x(u-v) - y(v-u)$ ...................................................[2]
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Given \( y \propto \frac{1}{x^3} \).
When \( x = 2, \; y = 2 \).
Find \( y \) when \( x = 10 \).
\( y = \text{.................................} \) [3]
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f(x) = 6\cos(6x)
Find the amplitude and the period of f(x).
Amplitude = .......................................................
Period = .......................................................
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Find $AB$.
$AB = \text{................................... cm}$
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f(x) = 10^x
Find f^{-1}(x).
f^{-1}(x) = \text{......................................} \quad [1]
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