Ratio and Proportion — Important Questions
ICSE · Class 10 · Mathematics
35 important questions from Ratio and Proportion for ICSE Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Ratio and Proportion
Which of the following are properties that can be applied to proportions? (Select all correct)
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Invertendo, Alternendo, Componendo, Dividendo
The four main properties of proportions are: Invertendo (a:b = c:d → b:a = d:c), Alternendo (a:b = c:d → a:c = b:d), Componendo (a:b = c:d → (a+b):b = (c+d):d), and Dividendo (a:b = c:d → (a-b):b = (c-d):d).
Find the mean proportional between 9 and 16.
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12
If x is the mean proportional between 9 and 16, then 9:x = x:16. Cross multiply: x² = 9 × 16 = 144. Therefore x = √144 = 12.
What is the sub-duplicate ratio of 25:36?
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5:6
Sub-duplicate ratio of a:b is √a:√b. So sub-duplicate ratio of 25:36 is √25:√36 = 5:6.
If x/3 = y/5 = z/7, and x + y + z = 45, find the value of z.
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21
Let x/3 = y/5 = z/7 = k. Then x = 3k, y = 5k, z = 7k. Given x + y + z = 45, so 3k + 5k + 7k = 15k = 45. Therefore k = 3, and z = 7k = 7(3) = 21.
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