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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.

35 questions33 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

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.

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Full Notes

Key Concepts

The ratio of a to bFour quantitiesQuantitiesThe compounded ratio ofThe duplicate ratio of

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 35 practice questions available for this chapter. Revise formulas and 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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