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Important Questions

Ratio and Proportion

ICSE · Class 10 · Mathematics

Most important questions from Ratio and Proportion for ICSE Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

44 questions24 flashcards5 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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44 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.

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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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Frequently Asked Questions

What are the important topics in Ratio and Proportion for ICSE Class 10 Mathematics?
Ratio and Proportion covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Ratio and Proportion — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Ratio and Proportion?
There are 44 practice questions available for Ratio and Proportion. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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