Skip to main content
Super TutorResources
Chapter 7 of 22
Revision Notes

Ratio and Proportion — Revision Notes

ICSE · Class 10 · Mathematics

Ratio and Proportion revision notes for ICSE Class 10 Mathematics: 4 topics in quick points. Part of the ICSE Class 10 Mathematics syllabus.

35 questions33 flashcards15 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Ratio and Proportion? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

A labeled diagram illustrating the components of a ratio (a:b) with 'a' as the antecedent and 'b' as the consequent.
Super Tutor

One of 6 illustrations for Ratio and Proportion in Super Tutor — alongside flashcards, concept maps and practice questions.

See them all

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.

Get complete notes with diagrams and examples

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?
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 Revision Notes

For serious students

Get the full Ratio and Proportion chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 10 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free