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.
Key Topics to Revise
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
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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.
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