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Proportional Reasoning-2

CBSE · Class 8 · Mathematics

Complete topic list for Proportional Reasoning-2 in CBSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

55 questions76 flashcards5 concepts

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4 Topics · CBSE Class 8 Mathematics

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

Frequently Asked Questions

What are the important topics in Proportional Reasoning-2 for CBSE Class 8 Mathematics?
Proportional Reasoning-2 covers several key topics that are frequently asked in CBSE 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 Proportional Reasoning-2 — CBSE Class 8 Mathematics?
Understand the core concepts first, then work through the 55 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.

More resources for Proportional Reasoning-2

All 14 chapters — CBSE Class 8 Mathematics Syllabus

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