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Direct and Inverse Variations

ICSE · Class 8 · Mathematics

Quick revision notes for Direct and Inverse Variations — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

61 questions26 flashcards5 concepts

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Key Topics to Revise

1

1. Variation and Its Types

  • Two quantities are said to be in variation if change in one quantity causes a corresponding change in the other quantity.
  • There are two types of variation: direct variation and inverse variation.
  • Direct variation means an increase in one quantity causes an increase in the other, and a decrease in one quantity causes a decrease in the other.
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2. Direct Variation: Tables, Missing Values, and Examples

  • In direct variation, the ratio x/y stays constant.
  • A table showing direct variation has the same ratio for every matching pair.
  • Missing values can be found by forming equal ratios.
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3. Inverse Variation: Tables and Missing Values

  • In inverse variation, the product xy stays constant.
  • A table showing inverse variation has the same product for every matching pair.
  • Missing values can be found by equating products.
4

4. Arrow Method

  • The arrow method is a simple way to solve variation problems.
  • For direct variation, arrows are marked in the same direction.
  • For inverse variation, arrows are marked in opposite directions.

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Full Notes

Key Concepts

Two quantities are in variation ifTwo quantities are in direct variationTwo quantities are in inverse variationFor direct variationFor inverse variation

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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