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Ratio and Proportion — Practice Quiz

ICSE · Class 10 · Mathematics

Try a 4-question quiz on Ratio and Proportion for ICSE Class 10 Mathematics: tap an answer to check it and see why. 35 questions in the full chapter test.

35 questions33 flashcards15 formulas & key relations5 concepts

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A labeled diagram illustrating the components of a ratio (a:b) with 'a' as the antecedent and 'b' as the consequent.
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Quick Quiz: Ratio and Proportion

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

If the ratio of two numbers is 3:7 and their sum is 80, find the smaller number.

2

Find the fourth proportional to 6, 9, and 14.

3

What is the duplicate ratio of 4:9?

4

If a:b = 5:3, find the value of (a+b):(a-b).

35 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

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).

2multiple choice

Find the mean proportional between 9 and 16.

Show answer

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.

3multiple choice

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.

4multiple choice

If x/3 = y/5 = z/7, and x + y + z = 45, find the value of z.

Show answer

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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Frequently Asked Questions

What are the important topics in Ratio and Proportion for ICSE Class 10 Mathematics?
Key topics in Ratio and Proportion include Ratio: Meaning, Properties, and Important Points, Composition of Ratios, Proportion and Its Main Property, Continued Proportion, Mean Proportional, and Third Proportional. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many practice questions are there for Ratio and Proportion?
There are 35 questions on Ratio and Proportion. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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