Chapter 6 · Class 6 ICSE · MCQ Test
Ratio & Proportion MCQ Test — Class 6 ICSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Ratio & Proportion — MCQ Questions
1What is the ratio of 4 to 8?
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Answer: 1 : 2
Hint: Divide both numbers by their HCF to simplify.
Solution:
The ratio of 4 to 8 is written as 4 : 8.
Divide both by HCF (4): — 4 : 8 = 4/4 : 8/4 = 1 : 2
2Express the ratio 15 : 25 in its simplest form.
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Answer: 3 : 5
Hint: Find the HCF of 15 and 25 first.
Solution:
HCF of 15 and 25 is 5.
Divide both terms by 5: — 15 : 25 = 15/5 : 25/5 = 3 : 5
3There are 12 boys and 18 girls in a class. What is the ratio of boys to girls in simplest form?
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Answer: 2 : 3
Hint: Write the ratio as 12 : 18 and then simplify by dividing by the HCF.
Solution:
Ratio of boys to girls = 12 : 18
HCF of 12 and 18 is 6. — 12 : 18 = 12/6 : 18/6 = 2 : 3
4Which of the following ratios is equivalent to 2 : 5?
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Answer: 4 : 10
Hint: Multiply both parts of 2 : 5 by the same number to get an equivalent ratio.
Solution:
Multiply both terms of 2 : 5 by 2: — 2 x 2 : 5 x 2 = 4 : 10
So 4 : 10 is equivalent to 2 : 5.
5Express the ratio 500 g to 2 kg in simplest form.
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Answer: 1 : 4
Hint: First convert both quantities to the same unit. 2 kg = 2000 g.
Solution:
Convert to the same unit: 2 kg = 2000 g
Ratio = 500 : 2000. Divide both by 500: — 500 : 2000 = 1 : 4
6If a : b = 3 : 7, what is the value of a when b = 21?
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Answer: 9
Hint: Since b goes from 7 to 21 (multiplied by 3), multiply a by the same number.
Solution:
a : b = 3 : 7 and b = 21
Multiplying factor = 21 / 7 = 3 — a = 3 x 3 = 9
7Divide 20 in the ratio 3 : 2.
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Answer: 12 and 8
Hint: Total parts = 3 + 2 = 5. Find the value of each part first.
Solution:
Total parts = 3 + 2 = 5
Value of one part = 20 / 5 = 4
First part = 3 x 4 = 12, Second part = 2 x 4 = 8 — 20 in ratio 3 : 2 = 12 and 8
8Are the ratios 4 : 6 and 6 : 9 equivalent?
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Answer: Yes
Hint: Simplify both ratios to their simplest form and compare.
Solution:
Simplify 4 : 6 by dividing by 2: — 4 : 6 = 2 : 3
Simplify 6 : 9 by dividing by 3: — 6 : 9 = 2 : 3
Both simplify to 2 : 3, so they are equivalent.
9If 5 notebooks cost Rs 60, what is the cost of 1 notebook?
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Answer: Rs 12
Hint: Use the unitary method: divide the total cost by the number of notebooks.
Solution:
Cost of 5 notebooks = Rs 60
Cost of 1 notebook: — 60 / 5 = Rs 12
10Check if 2, 4, 5, 10 are in proportion.
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Answer: Yes
Hint: Four numbers a, b, c, d are in proportion if a x d = b x c.
Solution:
Check if a x d = b x c
2 x 10 = 20 and 4 x 5 = 20 — 2 x 10 = 4 x 5 = 20
Since both products are equal, 2, 4, 5, 10 are in proportion.
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Tips for Ratio & Proportion MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Ratio & Proportion MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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