Practice
Proportion and inverse proportion practice
Practise proportion and inverse proportion at your own pace. Choose a difficulty, try each question on paper or in your jotter, use hints only when you need a start, then show answers to check your work.
Build your confidence
Choose a difficulty and number of questions, write down your working, then reveal answers only when you are ready to check. Hints give a starting point without giving away the answer.
10 practice questions
Current set: Mixed. Show your method for each question before checking answers.
1. 3 taps fill a tank in 15 minutes. How long would 6 taps take at the same rate?
2. 10 people share a cost of £80.00. How much does each person pay if 20 people share the same cost?
3. 3 workers take 8 hours to complete a job. How long would 6 workers take at the same rate?
4. 5 pencils cost £4.00. How much do 10 pencils cost at the same price each?
5. In this situation, travelling further at the same fuel rate means more fuel is used. Is this direct or inverse proportion?
6. 5 machines take 12 minutes to fill bottles. How long would 10 machines take at the same rate?
7. 3 people share a fixed cost equally and pay £12.00 each. How much would each person pay if 5 people shared the same cost?
8. A car travels 180 miles in 4 hours. How far does it travel in 6 hours at the same speed?
9. A recipe uses 250 g of rice for 4 people. How much rice is needed for 12 people?
10. A car travels further when it drives for more hours at the same speed. Which type of proportion is this?
Practice answers
Check your work when you are ready.