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 $x$ the subject of $\;T = 2\sqrt{x} - 5$
Level 5 · 3 marksTry it
2
Make $x$ the subject of $\;y = \dfrac{12}{x + 3}$
Level 5 · 3 marksTry it
3
Make $L$ the subject of $\;T = 2\pi\sqrt{\dfrac{L}{g}}$
Level 5 · 3 marksTry it