𝑥 Algebra

Rearranging formulae

Learn rearranging formulae with a GCSE-style explanation, help guide, worked example, practice question and flashcards.

AlgebraGCSE25 XP completion3 flashcards

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Level 1

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1. Explanation

Key idea

Rearranging formulae is part of algebra and appears often in KS3–GCSE maths.
Formulae connect variables so you can calculate unknown quantities.
Use the worked model, help guide, interactive question and flashcards to practise rearranging formulae until the steps feel automatic.

Shopping, sport, travel, science, design and everyday decisions all use this skill.

2. Visual

Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.

3. Help guide

Learn the rule: Formulae connect variables so you can calculate unknown quantities.
Worked model: Identify the subject of the formula. Substitute each value carefully. Calculate using order of operations.
Try the interactive question without looking at the answer first.
Use the flashcards to test the rule, the method and a common check.

4. Worked examples

Answer: P = 2l + 2w with l = 6 and w = 4 gives P = 20

5. Interactive questions

6. Flashcards

Flip each card, then choose whether you know it or need more practice.

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FrontRule for Rearranging formulae

BackFormulae connect variables so you can calculate unknown quantities.

FrontExample answer: Use A = lw to find A when l = 8 and w = 5.

BackA = lw = 8 × 5 = 40.

FrontCommon check for Rearranging formulae

BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.

7. Finish

When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.