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Class 6 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.

1. Which symbol is used to denote proportion between two ratios?
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Answer: A) ::
Proportion is written as a : b :: c : d, where '::' stands for 'is as'.
2. Which ratio is in proportion with 8 : 12?
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Answer: A) 10 : 15
8 : 12 = 2 : 3. Among the options, 10 : 15 = 2 : 3, so it is in proportion.
3. If 8, 12, 14 and x are in proportion (in that order), what is x?
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Answer: A) 21
8 : 12 :: 14 : x, so 8x = 12 x 14 = 168 and x = 21.
4. In a fruit shop, 6 apples weigh 900 g.
All apples weigh the same.
What is the weight of 15 such apples?
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Answer: B) 2250
6 : 900 :: 15 : x. So 6x = 900 x 15 = 13500 and x = 2250 g.
5. The lengths of the shadows of two poles at the same time of day are in proportion to the heights of the poles.
A 6 m pole casts a shadow of 8 m.
At the same time, another pole casts a 20 m shadow.
What is the height of the second pole in metres?
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Answer: C) 15
Height : shadow stays proportional: 6 : 8 :: x : 20. So 8x = 6 x 20 = 120 and x = 15 m.
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