Chapter-2 Ratio Proportion and Rates — Online MCQ Test
MATHS · Grade 10 · IGCSE cambridge
Practice Chapter-2 Ratio Proportion and Rates with a free chapter-wise online MCQ test.
This chapter covers: Ratio division direct and inverse proportion speed and other rates and best-value problems..
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-2 Ratio Proportion and Rates — Important Questions & Answers
If the ratio of boys to girls in a class is 3:5, and there are 15 boys, how many girls are there?
- A. 20
- B. 25
- C. 30
- D. 35
Answer: B. 25
If 3 parts = 15 boys, then 1 part = 5. Therefore, 5 parts = 5 × 5 = 25 girls.
If 3 parts = 15 boys, then 1 part = 5. Therefore, 5 parts = 5 × 5 = 25 girls.
Express the ratio 24:36 in its simplest form.
- A. 2:3
- B. 3:4
- C. 4:6
- D. 6:9
Answer: A. 2:3
Divide both 24 and 36 by their HCF which is 12: 24÷12 = 2 and 36÷12 = 3, giving 2:3.
Divide both 24 and 36 by their HCF which is 12: 24÷12 = 2 and 36÷12 = 3, giving 2:3.
If y is directly proportional to x, and y = 20 when x = 4, find y when x = 10.
- A. 40
- B. 50
- C. 60
- D. 70
Answer: B. 50
For direct proportion, y = kx. First find k: 20 = k(4), so k = 5. Then y = 5(10) = 50.
For direct proportion, y = kx. First find k: 20 = k(4), so k = 5. Then y = 5(10) = 50.
A recipe requires flour, sugar, and butter in the ratio 4:2:1. If you use 300g of flour, how much butter is needed?
- A. 50g
- B. 75g
- C. 100g
- D. 150g
Answer: B. 75g
If flour:butter = 4:1 and flour = 300g, then 4 parts = 300g, so 1 part = 75g. Therefore butter = 75g.
If flour:butter = 4:1 and flour = 300g, then 4 parts = 300g, so 1 part = 75g. Therefore butter = 75g.
If a mixture contains ingredients in the ratio 7:5:3 and the total mass is 1.5 kg, what is the mass of the ingredient with the smallest proportion?
- A. 0.2 kg
- B. 0.25 kg
- C. 0.3 kg
- D. 0.35 kg
Answer: C. 0.3 kg
Total parts = 7+5+3 = 15. Each part = 1.5÷15 = 0.1 kg. The smallest ingredient (3 parts) = 3 × 0.1 = 0.3 kg.
Total parts = 7+5+3 = 15. Each part = 1.5÷15 = 0.1 kg. The smallest ingredient (3 parts) = 3 × 0.1 = 0.3 kg.