GCSE · Formulae & rearranging

Rearranging formulaeExam-style questions

Why changing the subject is solving-an-equation in disguise, why operations must be undone in reverse order (onion peeling), and how fractions, squares and roots come apart.

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14 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
Make $r$ the subject of $\;A = \pi r^2$ , where $r$ is positive.
Level 4 · 2 marksTry it
2
Make $x$ the subject of $\;y = \dfrac{3x + 2}{5}$
Level 4 · 3 marksTry it
3
Make $x$ the subject of $\;y = 5 - \dfrac{2x}{3}$
Level 4 · 3 marksTry it
4
Make $r$ the subject of $\;V = \dfrac{4}{3}\pi r^3$
Level 4 · 3 marksTry it