What does a fair share mean in maths?

A fair share means every part is equal. Two equal parts are halves and four equal parts are quarters.

Why is a quarter smaller than a half?

A quarter shares the whole into 4 equal parts, while a half shares it into only 2, so each quarter piece is smaller.

Chapter 8 of 14

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CBSE Class 3 Mathematics★ 3-4 marks through school tests, activities, notebook work, and competency questions in CBSE Class 3 Mathematics (Maths Mela)

Fair Share

A CBSE Class 3 Mathematics (Maths Mela) chapter on sharing equally — halves and quarters. Children divide shapes and objects into equal parts, meet the first idea of fractions (½ and ¼), and learn what "fair" sharing means. These notes give core ideas, worked examples, an activity, common mistakes, a practice set with answers, and quick revision.

⏱ 16 min readEasy difficulty✓ Free · NCERT-aligned

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By the end of this chapter you'll be able to…

1Divide a shape or object into equal parts
2Name one half (½) and one quarter (¼)
3Know that two halves or four quarters make a whole
4Find half and a quarter of a small number
5Compare the size of a half and a quarter

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Why this chapter matters

Fair Share builds the first idea of fractions through equal sharing. Children divide shapes and objects into halves and quarters, learn the fraction names ½ and ¼, and understand that fair means equal — preparing them for formal fractions later.

Before you start — revise these

A 5-minute refresher here will save you 30 minutes of confusion below.

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Equal sharing and counting

Sharing small numbers of objects into equal groups.

Fair Share — Class 3 Mathematics (CBSE)

From the current NCERT Maths Mela Grade 3 book, Chapter 8. Sharing a chapati, a chocolate, or a mango fairly leads us to halves, quarters, and the first idea of fractions.

1. Why this chapter matters

Sharing fairly means everyone gets an equal part. This simple idea is the start of fractions — halves and quarters — which we use to cut food, tell time, and measure. Learning equal parts now makes fractions easy later.

2. Core ideas

Idea 1 — Equal parts are fair shares

Two equal parts are halves; four equal parts are quarters. Unequal parts are not fair.

Method 2 — Half and quarter have fraction names

One half is written ½; one quarter is written ¼. Two halves make a whole; four quarters make a whole.

Half of 8 is 4 (8 shared into 2 equal groups). A quarter of 8 is 2.

3. Worked examples

Example 1: A chapati is shared between 2 children. What part does each get?

Each gets one half (½) of the chapati.

Example 2: What is half of 10 mangoes?

10 shared into 2 equal groups → 5 mangoes each.

Example 3: A chocolate is broken into 4 equal pieces. What is each piece called?

Each piece is one quarter (¼) of the chocolate.

4. Activity corner

Fold a square paper to show halves, then fold again to show quarters. Colour one half on one paper and one quarter on another. Write:

What I folded (halves or quarters)
How many equal parts I made
The maths idea (equal parts and their fraction names)

5. Common mistakes

Mistake: Cutting into unequal parts and calling them halves. Fix: Halves and quarters must be equal parts.
Mistake: Thinking a bigger number of pieces means a bigger piece. Fix: A quarter (¼) is smaller than a half (½) of the same thing.
Mistake: Forgetting that the parts must rejoin to the whole. Fix: Two halves, or four quarters, make one whole.

6. How to write better answers

Check the parts are equal.
Name the part: half (½) or quarter (¼).
For numbers, share equally into 2 or 4 groups.
State the answer with the unit.

7. Practice set

What do we call one of two equal parts?
Write the fraction for one quarter.
What is half of 6 apples?
How many quarters make one whole?
A ribbon is cut into 4 equal parts. What is each part called?
Which is bigger: a half or a quarter of the same cake?

8. Answer key

One half (½).
One quarter is ¼.
Half of 6 = 3 apples.
4 quarters make one whole.
Each part is one quarter (¼).
A half is bigger than a quarter of the same cake.

9. Quick revision

Fair sharing means equal parts.
Two equal parts are halves (½); four equal parts are quarters (¼).
Two halves, or four quarters, make one whole.
Half of 8 is 4; a quarter of 8 is 2.
A half is bigger than a quarter of the same thing.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Core idea

Two equal parts are halves; four equal parts are quarters.

Parts must be equal to be fair.

Math move

One half = 1/2, one quarter = 1/4; two halves or four quarters make a whole.

Fold or cut into equal parts to see this.

Exam habit

Half of 8 is 4; a quarter of 8 is 2.

Share the number into 2 or 4 equal groups.

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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT

✗ Cutting into unequal parts and calling them halves

✓ Halves and quarters must be equal parts.

WATCH OUT

✗ Thinking more pieces means a bigger piece

✓ A quarter is smaller than a half of the same thing.

WATCH OUT

✗ Forgetting the parts rejoin to the whole

✓ Two halves, or four quarters, make one whole.

NCERT exercises (with solutions)

Every NCERT exercise from this chapter — what it covers and how many questions to expect.

Read, observe, and discuss

Use pictures of chapatis, cakes, and shapes from the textbook to discuss equal sharing before writing answers.

Questions

Notebook practice

Naming halves and quarters, colouring equal parts, and finding half or a quarter of a number.

Questions

Project or activity

Fold paper to show halves and quarters and colour the parts.

Questions

Practice problems

Try each one yourself before tapping "Show solution". Active recall > rereading.

Q1EASY· Concept

What do we call one of two equal parts?

▶ Show solution

One half.

Q2EASY· Fraction

Write the fraction for one quarter.

▶ Show solution

1/4.

Q3EASY· Apply

What is half of 6 apples?

▶ Show solution

3 apples.

Q4MEDIUM· Concept

How many quarters make one whole?

▶ Show solution

4 quarters make one whole.

Q5MEDIUM· Apply

A ribbon is cut into 4 equal parts. What is each part called?

▶ Show solution

Each part is one quarter (1/4).

Q6HARD· Compare

Which is bigger, a half or a quarter of the same cake, and why?

▶ Show solution

A half is bigger, because the cake is shared into only 2 equal parts instead of 4, so each part is larger.

5-minute revision

The whole chapter, distilled. Read this the night before the exam.

•Fair Share is Chapter 8 of the Class 3 Maths Mela textbook.
•Fair sharing means equal parts.
•Two equal parts are halves (1/2); four equal parts are quarters (1/4).
•Two halves, or four quarters, make one whole.
•Half of 8 is 4; a quarter of 8 is 2.
•A half is bigger than a quarter of the same thing.

CBSE marks blueprint

Where the marks come from in this chapter — so you can plan your prep.

Typical chapter weightage: 3-4 marks in school tests, oral checks, notebooks, and activities

Question type	Marks each	Typical count	What it tests
Very Short	1	2-3	Naming halves and quarters or finding half of a number
Short Answer	2	1-2	Equal parts of shapes or quarters of a whole
Activity / Project	3	0-1	Folding and colouring halves and quarters

Prep strategy

Fold paper to make halves and quarters
Practise finding half and a quarter of small numbers
Remember two halves and four quarters make a whole
Compare the sizes of a half and a quarter

Where this shows up in the real world

This chapter isn't just an exam topic — it lives in the world around you.

Sharing food fairly

Cutting chapatis, fruits, and cakes into equal parts uses halves and quarters.

Telling time

Half past and quarter past an hour come from these fraction ideas.

Measuring

Half a litre or a quarter kilogram are everyday measurements.

Exam strategy

Battle-tested tips from teachers and toppers for this chapter.

Underline the command word: name, write, half, or quarter
Check that parts are equal before naming them
Share numbers into 2 or 4 equal groups
Give the answer with the unit

Going beyond the textbook

For olympiad aspirants and curious learners — topics that build on this chapter.

Show two different ways to cut a square into four equal parts.
If a quarter of a number is 3, what is the whole number?

Where else this chapter is tested

CBSE board isn't the only one — other exams test this chapter too.

CBSE Class 3 School AssessmentHigh

Class 3 Foundation / Olympiad PracticeMedium

Notebook and Activity EvaluationHigh

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