Class 6 Equivalent Ratios — 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.
1. Which ratio is equivalent to 1:2?
A2:4
B2:3
C3:2
D1:3
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Answer: A) 2:4
Multiply both terms of 1:2 by 2 to get 2:4. So 1:2 = 2:4.
2. Find the missing number: 4:5 = 16:?
A40
B18
C22
D20
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Answer: D) 20
4 is multiplied by 4 to get 16, so multiply 5 by 4: 5 × 4 = 20.
3. Which of these ratios is in its simplest (lowest) form?
A7:9
B6:8
C10:15
D4:6
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Answer: A) 7:9
7 and 9 have no common factor other than 1, so 7:9 is already simplest. The others can be reduced.
4. A paint mixture in a Delhi shop uses red and yellow in the ratio 3:5. To make a bigger batch with 35 litres of yellow paint in the same ratio, how many litres of red paint are needed?
A23
B42
C19
D21
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Answer: D) 21
Yellow 5 is multiplied by 7 to get 35 litres, so red = 3 × 7 = 21 litres.
5. A ratio 9:12 is to be written as an equivalent ratio of the form ?:20. A student notices that 9:12 must first be simplified before scaling so the second term can become 20. What is the correct first term?
A15
B16
C12
D18
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Answer: A) 15
9:12 simplifies to 3:4. To make the second term 20, multiply by 5: 4 × 5 = 20 and 3 × 5 = 15. So the first term is 15.