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Ratio and Proportion

ICSE · Class 10 · Mathematics

Quick revision notes for Ratio and Proportion — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

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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Key Topics to Revise

1

Basic Concepts of Ratio

  • Ratio is a comparison between two quantities of the same kind and same unit
  • Ratio of a to b is written as a:b or a/b, where b ≠ 0
  • In ratio a:b, 'a' is called antecedent and 'b' is called consequent
2

Types of Ratios and Composition

  • Compound ratio: Product of two or more ratios
  • Duplicate ratio: Square of a given ratio (a:b)² = a²:b²
  • Triplicate ratio: Cube of a given ratio (a:b)³ = a³:b³
3

Proportion - Basic Concepts

  • Four quantities a,b,c,d are in proportion if a:b = c:d
  • Written as a:b::c:d or a/b = c/d
  • a and d are extremes, b and c are means
4

Continued Proportion

  • Numbers a,b,c,d,e... are in continued proportion if a/b = b/c = c/d = d/e = ...
  • In continued proportion, each term (except first and last) is mean proportional between its adjacent terms
  • If three numbers a,b,c are in continued proportion: a:b = b:c

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Full Notes

Key Concepts

A ratio is a comparison betweenCompound ratioFour quantitiesWhen three or more quantitiesInvertendo

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?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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 22 chapters — ICSE Class 10 Mathematics Revision Notes

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