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Syllabus

Direct and Inverse Variations — Syllabus

ICSE · Class 8 · Mathematics

What Direct and Inverse Variations covers in ICSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 8 Mathematics syllabus.

61 questions26 flashcards5 formulas & key relations5 concepts

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4 Topics · ICSE Class 8 Mathematics · 2026-27

Topics in Direct and Inverse Variations

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.
2

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.
3

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.

Key Concepts

Central concept: Variation between two quantities

VariationDirect variationInverse variationArrow methodDirect variation tablesInverse variation tablesMissing values in direct variationMissing values in inverse variation

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Frequently Asked Questions

What are the important topics in Direct and Inverse Variations for ICSE Class 8 Mathematics?
Key topics in Direct and Inverse Variations include Variation and Its Types, Direct Variation: Tables, Missing Values, and Examples, Inverse Variation: Tables and Missing Values, Arrow Method. Study these first, then practise questions on each for Class 8 exams.
How should I revise Direct and Inverse Variations for Class 8 exams?
Learn the core ideas first, then work through the 61 practice questions on Direct and Inverse Variations. Revise 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 ICSE Class 8 Mathematics Syllabus

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