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Syllabus

Ratio and Proportion — Syllabus

ICSE · Class 10 · Mathematics

What Ratio and Proportion covers in ICSE Class 10 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 10 Mathematics syllabus.

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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4 Topics · ICSE Class 10 Mathematics · 2026-27

Topics in Ratio and Proportion

1

1. Ratio: Meaning, Properties, and Important Points

  • Ratio is a fraction between two quantities of the same kind or unit.
  • A ratio is written as a:b and is read as 'a is to b'.
  • The numerator a is called the antecedent and the denominator b is called the consequent.
2

2. Composition of Ratios

  • Compound ratio is formed by multiplying two or more ratios termwise.
  • The compound ratio of a:b and c:d is ac:bd.
  • Duplicate ratio is the compound ratio of two equal ratios.
3

3. Proportion and Its Main Property

  • Four quantities are in proportion if the ratio of the first to the second equals the ratio of the third to the fourth.
  • Proportion is written as a:b = c:d or a:b::c:d.
  • In a proportion, a and d are extremes, while b and c are means.
4

4. Continued Proportion, Mean Proportional, and Third Proportional

  • Quantities are in continued proportion if the ratio of the first to the second equals the ratio of the second to the third and so on.
  • For continued proportion, a/b = b/c = c/d = d/e = e/f.
  • Three or more non-zero quantities are in continued proportion if each ratio is equal to the next ratio.

Key Concepts

Central concept: Ratio and Proportion

RatioComposition of RatiosProportionContinued Proportionk-MethodProperties of Proportion

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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 should I revise Ratio and Proportion for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 35 practice questions on Ratio and Proportion. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

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All ICSE Class 10 Mathematics Syllabus

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