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Ratio and Proportion

Maharashtra Board · Class 9 · Mathematics

Quick revision notes for Ratio and Proportion — Maharashtra Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

43 questions24 flashcards5 concepts

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Key Topics to Revise

1

Basic Concepts and Definitions

  • Ratio compares two or more quantities of the same type
  • Ratio is expressed as a:b or a/b where b ≠ 0
  • Ratios are unitless and must be in the same units before comparison
2

Direct and Inverse Proportion

  • In direct proportion, as one quantity increases, the other increases proportionally
  • In inverse proportion, as one quantity increases, the other decreases proportionally
  • Direct proportion: x/y = k (constant ratio)
3

Properties of Equal Ratios

  • Five main properties: Invertendo, Alternando, Componendo, Dividendo, Componendo-Dividendo
  • These properties help solve complex ratio problems efficiently
  • Each property transforms equal ratios in a specific way
4

Theorem of Equal Ratios

  • If a/b = c/d, then a/b = c/d = (a+c)/(b+d)
  • Can be extended to multiple ratios
  • Extremely useful in solving problems with multiple variables

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Full Notes

Key Concepts

Ratios can be extended beyond twoTwo quantities are in direct proportionTwo quantities are in inverse proportionFive important propertiesIf a/b = c/d

Frequently Asked Questions

What are the important topics in Ratio and Proportion for Maharashtra Board Class 9 Mathematics?
Ratio and Proportion covers several key topics that are frequently asked in Maharashtra Board Class 9 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 — Maharashtra Board Class 9 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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