Class 3 Mathematics

Chapter 8 — Fair Share

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Overview

Summary

Chapter 8 of the Class 3 Maths NCERT textbook (Maths Mela), "Fair Share", introduces young learners to the concept of equal sharing, teaching them to identify and make halves and quarters of shapes, objects, and quantities, and to understand the relationship between half and double.

  • HalfWhen one whole is shared equally between 2 people, each share is called a half. Two halves together make one whole.
  • QuarterWhen a whole is shared equally among 4 people, each share is called a quarter. Four quarters make one complete whole, and 2 quarters equal a half.
  • Half and DoubleThe chapter explores the relationship between half and double using marbles as examples, for instance 3 is half of 6 and 6 is double of 3.
  • Fair SharingThrough a story about two brothers sharing a mango tree, lamp, and blanket, children learn to think critically about whether a way of sharing is truly fair and equal.
Essentials

Key points & formulas

  1. 01When 1 whole is divided equally between 2 people, each part is called a half
  2. 02Two halves make one whole
  3. 03When a whole is divided equally among 4 people, each part is called a quarter
  4. 04Four quarters make one whole, and 2 quarters equal one half
  5. 05Halves and quarters can be shown in different ways by folding rectangular or square paper
  6. 06A number that is double of another is twice as large, and half is the reverse relationship
  7. 07Shapes can be divided into halves and quarters in multiple different ways, not just one way
Questions

Frequently asked questions

01

What is a half according to Class 3 Maths Chapter 8?

When one whole is shared equally between 2 people, each share is called a half. Two halves together make one complete whole.

02

What is a quarter in the Fair Share chapter?

When a whole is shared equally among 4 people, each share is called a quarter. There are 4 quarters in one whole.

03

How many quarters make one whole?

Four quarters make one whole. The chapter also shows that 2 quarters are equal to one half.

04

What is the story used to explain fair sharing in this chapter?

The chapter uses a story about an old man who gave his two sons a mango tree, a solar lamp, and a woollen blanket. The cunning son Amit proposed an unfair split, and children are asked to think about whether it was truly fair.

05

How does the chapter help children understand halves using paper?

Children are asked to take rectangular and square sheets of paper and fold them in half, then explore all the different ways to make a half by folding.

06

What is the relationship between half and double?

Half and double are opposites of each other. For example, 3 is half of 6 and 6 is double of 3. The chapter uses marbles to practise identifying halves and doubles.

07

How many halves make one whole?

Two halves make one whole. The chapter reinforces this by having children check with physical halves.

08

What activities are used to teach quarters in this chapter?

Children tick shapes that show quarters, draw lines to divide shapes into quarters, colour given fractions of shapes, and use fraction cards to form a whole.

09

Can a shape be divided into halves in more than one way?

Yes, the chapter explicitly shows that a shape like a rectangle or square can be folded or divided into halves in different ways, and children are asked to find all the different ways.

10

What does 3 quarters look like?

Three quarters is three out of four equal parts of a whole. The chapter shows visual examples of 1 quarter, 2 quarters (half), 3 quarters, and 4 quarters (complete whole).

11

How does this chapter use number lines?

The chapter uses a number line showing 0 to 17 to help children find how far a number is from the double of another number or the half of a number, using marbles as context.

12

What are some everyday objects used to explain fair sharing in this chapter?

The chapter uses chocolates, parathas, chikki (peanut brittle), mangoes, marbles, flowers, and birds to make the concepts of halves and quarters relatable for Class 3 children.

Keep learning

More chapters in Maths Mela

Read Chapter 8 of Maths Mela, the Class 3 Mathematics NCERT textbook (2026-27 edition), online for free: the complete chapter as published by NCERT with every diagram, solved example and exercise, with step-by-step solutions, answers and revision notes. Open the NCERT PDF above, or browse all NCERT Class 3 textbooks.

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