Chapter Exam

Chapter-2 Ratio Proportion and Rates — Online MCQ Test

Q: If the ratio of boys to girls in a class is 3:5, and there are 15 boys, how many girls are there?

Answer: B. 25 — If 3 parts = 15 boys, then 1 part = 5. Therefore, 5 parts = 5 × 5 = 25 girls.

Q: Express the ratio 24:36 in its simplest form.

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.

Q: If y is directly proportional to x, and y = 20 when x = 4, find y when x = 10.

Answer: B. 50 — For direct proportion, y = kx. First find k: 20 = k(4), so k = 5. Then y = 5(10) = 50.

Q: A recipe requires flour, sugar, and butter in the ratio 4:2:1. If you use 300g of flour, how much butter is needed?

Answer: B. 75g — If flour:butter = 4:1 and flour = 300g, then 4 parts = 300g, so 1 part = 75g. Therefore butter = 75g.

Q: 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?

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.

MATHS · Grade 10 · IGCSE cambridge

Practice Chapter-2 Ratio Proportion and Rates with a free chapter-wise online MCQ test for IGCSE cambridge Grade 10 MATHS. 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.

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Chapter-2 Ratio Proportion and Rates — Important Questions & Answers (FAQ)

Frequently asked questions from IGCSE cambridge Grade 10 MATHS — Chapter-2 Ratio Proportion and Rates, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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 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.

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Chapter-2 Ratio Proportion and Rates — Online MCQ Test

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