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Chapter Summary

Ratio and Proportion — Chapter Summary

ICSE · Class 10 · Mathematics

Summary of Ratio and Proportion for ICSE Class 10 Mathematics. Key concepts: The ratio of a to b, Four quantities and Quantities.

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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Overview

Ratio compares two quantities of the same kind by writing them as a:b or a/b, where a is the antecedent and b is the consequent. Proportion states that two ratios are equal, written as a:b = c:d or a:b::c:d. The chapter also includes continued proportion, mean proportional, third proportional, compo

Key Concepts

The ratio of a to b

The ratio of a to b is the fraction a/b, written as a:b. The first term is the antecedent and the second term is the consequent. A ratio is formed onl

Four quantities

Four quantities a, b, c, d are in proportion if a:b = c:d, written as a:b::c:d. In this form, a and d are the extremes, while b and c are the means.

Quantities

Quantities a, b, c, d, e, f etc. are in continued proportion if a/b = b/c = c/d = d/e = e/f. In this case, b is the mean proportional. If a:b = b:c, t

The compounded ratio of

The compounded ratio of a:b and c:d is ac:bd. It is formed by multiplying the antecedents together and the consequents together.

The duplicate ratio of

The duplicate ratio of a:b is a^2:b^2. The triplicate ratio of a:b is a^3:b^3.

Learning Objectives

  • Understand the meaning of ratio and proportion.
  • Identify antecedent, consequent, extremes, means, fourth proportional, mean proportional, and third proportional.
  • Use the properties of ratio correctly, including invariance under multiplication or division by a non-zero number.
  • Find compounded, duplicate, triplicate, sub-duplicate, sub-triplicate, and reciprocal ratios.
  • Apply the product of extremes and means in proportion.

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.

More resources for Ratio and Proportion

All ICSE Class 10 Mathematics Chapter Summary

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