Ratio and Proportion
ICSE · Class 7 · Mathematics
Most important questions from Ratio and Proportion for ICSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
A certain quantity of wheat is divided into two parts in the ratio 5:8. If the second part is 112 kg, what is the total quantity of wheat?
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182 kg
If 8 parts = 112 kg, then 1 part = 112 ÷ 8 = 14 kg. The first part is 5 × 14 = 70 kg. Total quantity = 70 + 112 = 182 kg.
If A:B = 3:5 and B:C = 4:7, what is A:B:C?
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12:20:35
Make B the same in both ratios. Multiply 3:5 by 4 to get 12:20. Multiply 4:7 by 5 to get 20:35. So A:B:C = 12:20:35.
Find the mean proportional between 16 and 4.
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8
If b is the mean proportional between a and c, then b^2 = ac. Here a = 16 and c = 4. So b^2 = 16 × 4 = 64, hence b = 8.
Find the third proportional to 12 and 30.
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75
For third proportional, 12:30 = 30:x. Using cross multiplication, 12x = 30 × 30 = 900. So x = 900 ÷ 12 = 75.
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