GCSE · Formulae & rearranging

Substituting into formulaeExam-style questions

Why substitution is "replace the letter, keep the structure", why negatives must go in with brackets, and why the order of operations still rules once the numbers are in.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Work out the value of $3a + 2b$ when $a = 4$ and $b = 5$ .
Level 1 · 1 markTry it
2
$P = 2l + 2w$ . Find $P$ when $l = 7$ and $w = 3$ .
Level 1 · 1 markTry it
3
$T = 2\pi\sqrt{\dfrac{l}{g}}$

Work out the value of $T$ when $l = 2.5$ and $g = 9.8$ Give your answer correct to 3 significant figures. (2 marks)
Level 2 · 2 marksTry it
4
The cost, £ $C$ , of hiring a hall for $d$ days is given by

$C = 5d + 20$

Work out the cost of hiring the hall for $7$ days.
Level 2 · 2 marksTry it
5
$v^2 = u^2 + 2as$

(a) Work out the value of $v$ when $u = 3$ , $a = 4$ and $s = 5$ , given that $v > 0$ . (2 marks)

(b) Make $s$ the subject of the formula. (2 marks)
Level 3 · 4 marksTry it

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