1. Express the ratio 12 : 16 in simplest form.
- A3 : 4
- B4 : 3
- C2 : 4
- D3 : 5
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Answer: A) 3 : 4
HCF of 12 and 16 is 4. Divide both: 12÷4 = 3, 16÷4 = 4. Ratio = 3 : 4.
Class 6 Ratio and Proportion — practice questions with answers
Ratio and Proportion · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. The cost of 3 kg of sugar is ₹120. What is the cost of 7 kg of sugar (in rupees)?
- A560
- B310
- C250
- D280
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Answer: D) 280
One kg = 120 ÷ 3 = ₹40. Seven kg = 7 × 40 = ₹280.
3. Assertion (A): The numbers 2, 6, 8, 24 are in proportion. Reason (R): Two ratios are in proportion when the product of the extremes equals the product of the means. Which is correct?
- ABoth A and R are true, and R correctly explains A
- BBoth A and R are true, but R does not explain A
- CA is true but R is false
- DA is false but R is true
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Answer: A) Both A and R are true, and R correctly explains A
For 2 : 6 :: 8 : 24, extremes 2 × 24 = 48 and means 6 × 8 = 48 are equal, so they are in proportion (A is true). The rule stated in R is the correct test and explains A.
4. A fish tank holds 15 goldfish and 25 guppies. Which statement is correct?
- AGoldfish to guppies is 3 : 8, and goldfish to all the fish is 3 : 5
- BGoldfish to guppies is 3 : 5, and goldfish to all the fish is 3 : 5
- CGoldfish to guppies is 3 : 5, and goldfish to all the fish is 3 : 8
- DGoldfish to guppies is 5 : 3, and goldfish to all the fish is 8 : 3
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Answer: C) Goldfish to guppies is 3 : 5, and goldfish to all the fish is 3 : 8
Part to part: goldfish : guppies = 15 : 25 = 3 : 5. Part to whole: the tank holds 15 + 25 = 40 fish, so goldfish : all fish = 15 : 40 = 3 : 8. Giving the same ratio for both, or swapping the two, is the usual slip — check whether the second quantity is the OTHER part or the TOTAL.
5. Six identical steel tumblers weigh 1 kg 320 g altogether. What is the total weight of 11 such tumblers?
- A220 g
- B2 kg 200 g
- C14 kg 520 g
- D2 kg 420 g
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Answer: D) 2 kg 420 g
Write the weight in one unit first: 1 kg 320 g = 1320 g. One tumbler = 1320 ÷ 6 = 220 g, so 11 tumblers weigh 11 × 220 = 2420 g = 2 kg 420 g. Stopping at 220 g gives only one tumbler; 14 kg 520 g scales the six-tumbler weight (1320 × 11) instead of the one-tumbler weight; 2 kg 200 g is 10 tumblers.
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