Ratio & Proportion
6 free practice questions with explanations
PassNova has 6 free 11+ Entrance Exam 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
6 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
If the ratio of apples to oranges is 2:3, and there are 6 apples, how many oranges are there?
- A4
- B6
- C9✓
- D12
Answer: Ratio 2:3 with 6 apples means 6÷2=3 groups, so 3×3=9 oranges.
A recipe uses flour and sugar in a ratio of 3:2. If there are 6 cups of flour, how much sugar?
- A2
- B3
- C4✓
- D5
Answer: Ratio 3:2 with 6 cups flour means 6÷3=2 groups, so 2×2=4 cups sugar.
If boys to girls is 5:3, and there are 15 boys, how many girls?
- A9✓
- B12
- C18
- D20
Answer: Ratio 5:3 with 15 boys means 15÷5=3 groups, so 3×3=9 girls.
Simplify the ratio 6:9.
- A2:1
- B3:4
- C1:2
- D2:3✓
Answer: 6:9 = (6÷3):(9÷3) = 2:3.
If the ratio of red to blue balls is 4:5, what fraction are red?
- A5/9
- B4/9✓
- C4/5
- D1/2
Answer: Total parts = 4+5=9. Red = 4/9.
Simplify the ratio 8:12.
- A2:3✓
- B4:3
- C1:2
- D3:4
Answer: 8:12 = (8÷4):(12÷4) = 2:3.