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Chapter Summary

Direct and Inverse Variations

ICSE · Class 8 · Mathematics

Summary of Direct and Inverse Variations for ICSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

61 questions26 flashcards5 concepts

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Overview

Variation means that a change in one quantity causes a corresponding change in another quantity. In direct variation, both quantities change in the same direction. In inverse variation, one quantity increases while the other decreases. The chapter also uses these ideas in time-and-work and pipes-and

Key Concepts

Two quantities are in variation if

Two quantities are in variation if a change in one quantity causes a corresponding change in the other quantity.

Two quantities are in direct variation

Two quantities are in direct variation when both increase together or both decrease together. For direct variation, the ratio of corresponding values

Two quantities are in inverse variation

Two quantities are in inverse variation when one increases and the other decreases. For inverse variation, the product of corresponding values stays c

For direct variation

For direct variation, all corresponding ratios must be equal. If x1 / y1 = x2 / y2 = x3 / y3 = ... , the quantities are in direct variation.

For inverse variation

For inverse variation, all corresponding products must be equal. If x1y1 = x2y2 = x3y3 = ... , the quantities are in inverse variation.

Learning Objectives

  • Understand the meaning of variation
  • Distinguish between direct variation and inverse variation
  • Use ratios to test direct variation
  • Use products to test inverse variation
  • Apply the arrow method for variation problems

Frequently Asked Questions

What are the important topics in Direct and Inverse Variations for ICSE Class 8 Mathematics?
Direct and Inverse Variations covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Direct and Inverse Variations — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 61 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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All 25 chapters — ICSE Class 8 Mathematics Chapter Summary

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