Skip to main content
Super TutorResources
Chapter 6 of 14
Chapter Summary

Proportional Reasoning-2 — Chapter Summary

CBSE · Class 8 · Mathematics

Summary of Proportional Reasoning-2 for CBSE Class 8 Mathematics. Key concepts: Two ratios, A Representative Fraction is and Ratios can have many terms.

55 questions76 flashcards5 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Proportional Reasoning-2? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

Try Super Tutor — Free

Free trial, no card needed.

Overview

Proportional reasoning compares quantities that change together in a fixed pattern. Some quantities change in the same direction, like the quantities in direct proportion. Some change in opposite directions, like speed and time for a fixed distance, which form inverse proportion. Ratios can involve

Key Concepts

Two ratios

Two ratios a : b and c : d are proportional if a × d = b × c, or if a/c = b/d. The idli batter ratios 6:3 and 4:2 are proportional because both cross

A Representative Fraction is an expression

A Representative Fraction is an expression that shows the ratio between a distance on the map and the corresponding actual distance on the ground. For

Ratios can have many terms when

Ratios can have many terms when each quantity changes by the same factor. Viswanath’s spice mix ratio is 8:4:2:1, and Puneet’s scaled version is 4:2:1

A whole quantity is divided by

A whole quantity is divided by first adding all parts of the ratio, then sharing the total in that proportion. For 12 in the ratio 2:1, the result is

The total angle in a circle

The total angle in a circle is 360°. Slice angles must be proportional to the data values. For grades A-E in the ratio 12:10:8:6:4, the simplified rat

Learning Objectives

  • Understand proportional relationships using ratio notation
  • Check whether two ratios are proportional by cross-multiplication
  • Use representative fraction to read map scales
  • Work with ratios having more than two terms
  • Divide a whole in a given ratio

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.

More resources for Proportional Reasoning-2

All CBSE Class 8 Mathematics Chapter Summary

For serious students

Get the full Proportional Reasoning-2 chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free