Ratio, Proportion & Rates of Change
6 free practice questions with explanations
PassNova has 6 free KS3 Maths practice questions on Ratio, Proportion & Rates of Change, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Ratio, Proportion & Rates of Change: example questions & answers
6 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
Divide 36 sweets between two people in the ratio 1 : 2. How many does the second person get?
- A12
- B18
- C24✓
- D36
Answer: 1 + 2 = 3 parts. Each part = 36 ÷ 3 = 12. The second person gets 2 parts = 24.
Simplify the ratio 10 : 15.
- A1 : 2
- B2 : 3✓
- C3 : 2
- D5 : 10
Answer: Divide both sides by their common factor 5: 10 : 15 = 2 : 3.
A car travels 120 km in 2 hours. What is its average speed?
- A240 km/h
- B60 km/h✓
- C120 km/h
- D30 km/h
Answer: Speed = distance ÷ time = 120 ÷ 2 = 60 km/h.
If 3 pens cost £1.20, how much do 5 pens cost?
- A£2.00✓
- B£1.80
- C£2.40
- D£1.50
Answer: One pen costs £1.20 ÷ 3 = £0.40, so 5 pens cost 5 × £0.40 = £2.00.
What is 4 : 2 written in the form n : 1?
- A2 : 1✓
- B1 : 2
- C4 : 1
- D8 : 1
Answer: Divide both sides by 2: 4 : 2 = 2 : 1.
A recipe for 4 people uses 200 g of rice. How much is needed for 6 people?
- A250 g
- B300 g✓
- C400 g
- D350 g
Answer: Per person = 200 ÷ 4 = 50 g. For 6 people = 6 × 50 = 300 g.