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
$y = 5t^2 - 3t$

Work out the value of $y$ when $t = -2$
Level 4 · 2 marksTry it
2
$v^2 = u^2 + 2as$

$u = 3$ , $a = 4$ and $s = 5$ .

Given that $v$ is positive, work out the value of $v$ .
Level 4 · 3 marksTry it
3
$P = \dfrac{2a - b}{a + b}$

Work out the value of $P$ when $a = 4$ and $b = -2$
Level 4 · 3 marksTry it
4
$a = 3b^2 - 2c^3$

Work out the value of $a$ when $b = -4$ and $c = 2$ .
Level 4 · 3 marksTry it
5
$k = 2(l - m)^2$

Work out the value of $k$ when $l = 3$ and $m = 7$ .
Level 4 · 3 marksTry it