Compound measure rate
- Identify the two measures.
- Divide to find per one unit.
- Write both units.
Answer: 150 miles on 5 gallons = 30 mpg
⚖️ Ratio, Proportion & Rates
Compound measures
Learn compound measures with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Compound measures is part of measures & money and appears often in KS3–GCSE maths.
- Compound measures combine two units, often using “per”.
- Use the worked model, help guide, interactive question and flashcards to practise compound measures until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Compound measures learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Compound measures
- Learn the rule: Compound measures combine two units, often using “per”.
- Worked model: Identify the two measures. Divide to find per one unit. Write both units.
- 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
Step-by-step working
5. Interactive questions
Try it yourself
A printer makes 80 pages in 4 minutes. What is its rate?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Compound measures
BackCompound measures combine two units, often using “per”.
FrontExample answer: A printer makes 80 pages in 4 minutes. What is its rate?
Back80 ÷ 4 = 20 pages per minute.
FrontCommon check for Compound measures
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.