Ratio and Proportion
ICSE · Class 10 · Mathematics
Complete topic list for Ratio and Proportion in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Ratio and Proportion
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
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
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
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
Key Concepts
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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.
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