⚖️ Ratio, Proportion & Rates

Direct proportion

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

Ratio & ProportionGCSE25 XP completion3 flashcards

Global XP

Level 1

0 / 100 XP

1. Explanation

Key idea

Direct proportion is part of ratio & proportion and appears often in KS3–GCSE maths.
In direct proportion, quantities increase or decrease by the same scale factor.
Use the worked model, help guide, interactive question and flashcards to practise direct proportion 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: In direct proportion, quantities increase or decrease by the same scale factor.
Worked model: Find the constant multiplier. Scale both quantities the same way. Check the relationship stays equal.
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: 5 kg costs £10, so 8 kg costs £16

5. Interactive questions

6. Flashcards

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

0 mastered

FrontRule for Direct proportion

BackIn direct proportion, quantities increase or decrease by the same scale factor.

FrontExample answer: If 3 tickets cost £18, how much do 7 tickets cost?

Back£18 ÷ 3 = £6 per ticket. 7 tickets cost 7 × £6 = £42.

FrontCommon check for Direct proportion

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.