Ratio & Proportion
15 free practice questions with explanations
PassNova has 15 free 11+ Maths practice questions on Ratio & Proportion, 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: example questions & answers
15 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
Sweets are shared between Amy and Ben in the ratio 2:3. Amy gets 8 sweets. How many does Ben get?
- A8
- B9
- C24
- D12✓
Answer: Amy's 2 parts are 8 sweets, so one part is 8 ÷ 2 = 4. Ben has 3 parts, so he gets 4 × 3 = 12.
Sweets are shared between Amy and Ben in the ratio 3:4. Amy gets 9 sweets. How many does Ben get?
- A12✓
- B9
- C10
- D36
Answer: Amy's 3 parts are 9 sweets, so one part is 9 ÷ 3 = 3. Ben has 4 parts, so he gets 3 × 4 = 12.
Sweets are shared between Amy and Ben in the ratio 5:2. Amy gets 15 sweets. How many does Ben get?
- A15
- B12
- C30
- D6✓
Answer: Amy's 5 parts are 15 sweets, so one part is 15 ÷ 5 = 3. Ben has 2 parts, so he gets 3 × 2 = 6.
Sweets are shared between Amy and Ben in the ratio 4:7. Amy gets 12 sweets. How many does Ben get?
- A12
- B21✓
- C15
- D84
Answer: Amy's 4 parts are 12 sweets, so one part is 12 ÷ 4 = 3. Ben has 7 parts, so he gets 3 × 7 = 21.
Sweets are shared between Amy and Ben in the ratio 3:5. Amy gets 18 sweets. How many does Ben get?
- A18
- B20
- C30✓
- D90
Answer: Amy's 3 parts are 18 sweets, so one part is 18 ÷ 3 = 6. Ben has 5 parts, so he gets 6 × 5 = 30.
Simplify the ratio 6:9.
- A2:3✓
- B5:8
- C3:2
- D1:1
Answer: Both numbers divide by 3, so 6:9 simplifies to 2:3.
Simplify the ratio 8:12.
- A7:11
- B3:2
- C8:9
- D2:3✓
Answer: Both numbers divide by 4, so 8:12 simplifies to 2:3.
Simplify the ratio 10:15.
- A9:14
- B3:2
- C5:6
- D2:3✓
Answer: Both numbers divide by 5, so 10:15 simplifies to 2:3.
Simplify the ratio 12:18.
- A2:3✓
- B11:17
- C3:2
- D4:5
Answer: Both numbers divide by 6, so 12:18 simplifies to 2:3.
Simplify the ratio 14:21.
- A2:3✓
- B13:20
- C3:2
- D7:9
Answer: Both numbers divide by 7, so 14:21 simplifies to 2:3.
Simplify the ratio 9:24.
- A8:23
- B3:8✓
- C8:3
- D3:7
Answer: Both numbers divide by 3, so 9:24 simplifies to 3:8.
4 pencils cost £6. At the same rate, what do 10 pencils cost?
- A£60
- B£16
- C£1.50
- D£15✓
Answer: One pencil costs £6 ÷ 4 = £1.5, so 10 pencils cost £1.5 × 10 = £15.
5 pencils cost £8. At the same rate, what do 15 pencils cost?
- A£120
- B£23
- C£24✓
- D£1.60
Answer: One pencil costs £8 ÷ 5 = £1.6, so 15 pencils cost £1.6 × 15 = £24.
3 pencils cost £9. At the same rate, what do 12 pencils cost?
- A£108
- B£21
- C£36✓
- D£3
Answer: One pencil costs £9 ÷ 3 = £3, so 12 pencils cost £3 × 12 = £36.
6 pencils cost £15. At the same rate, what do 8 pencils cost?
- A£20✓
- B£120
- C£23
- D£2.50
Answer: One pencil costs £15 ÷ 6 = £2.5, so 8 pencils cost £2.5 × 8 = £20.