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Syllabus

Proportional Reasoning-2 — Syllabus

CBSE · Class 8 · Mathematics

What Proportional Reasoning-2 covers in CBSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 8 Mathematics syllabus.

55 questions76 flashcards5 formulas & key relations5 concepts

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4 Topics · CBSE Class 8 Mathematics · 2026-27

Topics in Proportional Reasoning-2

1

1. Proportionality and Cross-Multiplication

  • Two ratios are proportional when they keep the same relationship.
  • Idli batter ratios 6:3 and 4:2 are proportional because their cross products are equal.
  • The ratio 2:1 represents 2 cups of rice to 1 cup of urad dal.
2

2. Ratios with More than Two Terms

  • Ratios can have more than two terms when several quantities change together.
  • Viswanath’s spice mix ratio is 8:4:2:1.
  • Puneet’s scaled-down spice mix ratio is 4:2:1:0.5, which is proportional to Viswanath’s.
3

3. Dividing a Whole in a Ratio

  • To divide a whole in a given ratio, first add all the ratio terms.
  • 12 divided in the ratio 2:1 gives 8:4.
  • For 12 in the ratio 2:1, the sum of parts is 3 and each part is 4.
4

4. Ratios in Maps and Representative Fraction

  • A Representative Fraction is a ratio between map distance and actual ground distance.
  • RF 1:60,00,000 means 1 cm on the map equals 60,00,000 cm on the ground.
  • 60,00,000 cm equals 60 km.

Key Concepts

Central concept: Proportional Reasoning

Proportional relationshipRatiosDirect proportionInverse proportionRepresentative FractionMulti-term ratiosDividing a whole in a ratioPie charts

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Frequently Asked Questions

What are the important topics in Proportional Reasoning-2 for CBSE Class 8 Mathematics?
Key topics in Proportional Reasoning-2 include Proportionality and Cross-Multiplication, Ratios with More than Two Terms, Dividing a Whole in a Ratio, Ratios in Maps and Representative Fraction. Study these first, then practise questions on each for Class 8 exams.
How should I revise Proportional Reasoning-2 for Class 8 exams?
Learn the core ideas first, then work through the 55 practice questions on Proportional Reasoning-2. 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 CBSE Class 8 Mathematics Syllabus

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