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

  • 1Understand multiplication as repeated addition of equal groups
  • 2Use arrays, skip counting, and doubling to multiply
  • 3Divide a total into equal groups
  • 4See how multiplication and division are linked
  • 5Solve simple multiplication and division word problems
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Why this chapter matters
Equal Groups builds multiplication and division. Children use repeated addition, arrays, skip counting, doubling, and tables, and learn that multiplication and division are inverse operations - core skills for all later arithmetic.

Before you start — revise these

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

Equal Groups — Class 4 Mathematics (CBSE)

From the current NCERT Maths Mela Grade 4 book, Chapter 9. Equal groups are the key to multiplication and division.


1. Why this chapter matters

When we have many equal groups, multiplication counts them quickly, and division shares a total into equal groups. These are used in shopping, packing, and sharing every single day.

2. Core ideas

Idea 1 — Multiplication is repeated addition of equal groups

3 groups of 4 = 4 + 4 + 4 = 12, written 3 × 4 = 12.

Method 2 — Arrays, skip counting, and doubling

An array is rows × columns (3 rows of 4 = 12). Skip count (4, 8, 12) or double (double 6 = 12) to multiply fast.

Skill 3 — Division splits into equal groups

12 ÷ 4 = 3 (12 shared into groups of 4 makes 3 groups). Multiplication and division are linked: 3 × 4 = 12, so 12 ÷ 4 = 3.

3. Worked examples

Example 1: Write 5 + 5 + 5 as a multiplication.

5 + 5 + 5 = 3 × 5 = 15.

Example 2: An array has 4 rows of 6. How many in all?

4 × 6 = 24.

Example 3: Share 24 pencils equally among 6 children.

24 ÷ 6 = 4 pencils each (because 6 × 4 = 24).

4. Activity corner

Make an array of buttons (for example, 3 rows of 5). Then share a group equally among your friends. Write:

  • Your array and its multiplication fact
  • The division fact for sharing
  • The maths idea (equal groups link × and ÷)

5. Common mistakes

  • Mistake: Making groups that are not equal. Fix: Multiplication and division need equal groups.
  • Mistake: Writing 3 × 4 as 3 + 4. Fix: 3 × 4 means 4 + 4 + 4 (three 4s) = 12.
  • Mistake: Forgetting the link between × and ÷. Fix: If 6 × 4 = 24, then 24 ÷ 6 = 4 and 24 ÷ 4 = 6.

6. How to write better answers

  1. Find the number of groups and the size of each.
  2. Write the multiplication fact (groups × size).
  3. For sharing, write the division fact (total ÷ groups).
  4. Use the link between × and ÷ to check.

7. Practice set

  1. Write 6 + 6 + 6 + 6 as a multiplication.
  2. Find 4 × 7.
  3. An array has 5 rows of 3. How many in all?
  4. Share 20 sweets equally among 5 children.
  5. If 7 × 3 = 21, what is 21 ÷ 7?
  6. Double 9.

8. Answer key

  1. 4 × 6 = 24.
  2. 5 × 3 = 15.
  3. 20 ÷ 5 = 4 each.
  4. 21 ÷ 7 = 3.

9. Quick revision

  • Multiplication is repeated addition of equal groups (3 × 4 = 12).
  • Use arrays, skip counting, and doubling to multiply.
  • Division splits a total into equal groups (12 ÷ 4 = 3).
  • Multiplication and division are linked (6 × 4 = 24, so 24 ÷ 6 = 4).
  • Groups must be equal.

Key formulas & results

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

Core idea
Multiplication is repeated addition of equal groups: 3 x 4 = 4 + 4 + 4 = 12.
Groups must be equal.
Math move
Use arrays (rows x columns), skip counting, and doubling to multiply.
An array of 3 rows of 4 shows 3 x 4 = 12.
Exam habit
Division splits into equal groups; multiplication and division are linked (6 x 4 = 24, so 24 / 6 = 4).
Use one fact to check the other.
⚠️

Common mistakes & fixes

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

WATCH OUT
Making groups that are not equal
Multiplication and division need equal groups.
WATCH OUT
Writing 3 x 4 as 3 + 4
3 x 4 means 4 + 4 + 4 (three 4s), which is 12.
WATCH OUT
Forgetting the link between multiplication and division
If 6 x 4 = 24, then 24 / 6 = 4 and 24 / 4 = 6.

Practice problems

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

Q1EASY· Multiply
Write 6 + 6 + 6 + 6 as a multiplication.
Show solution
4 x 6 = 24.
Q2EASY· Multiply
Find 4 x 7.
Show solution
28.
Q3MEDIUM· Array
An array has 5 rows of 3. How many in all?
Show solution
5 x 3 = 15.
Q4MEDIUM· Divide
Share 20 sweets equally among 5 children.
Show solution
20 / 5 = 4 sweets each.
Q5MEDIUM· Link
If 7 x 3 = 21, what is 21 / 7?
Show solution
3.
Q6HARD· Apply
There are 6 boxes with 8 crayons each. How many crayons in all, and how many if shared equally among 4 children?
Show solution
6 x 8 = 48 crayons; 48 / 4 = 12 crayons each.

5-minute revision

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

  • Equal Groups is Chapter 9 of the Class 4 Maths Mela textbook.
  • Multiplication is repeated addition of equal groups (3 x 4 = 12).
  • Use arrays, skip counting, and doubling to multiply.
  • Division splits a total into equal groups (12 / 4 = 3).
  • Multiplication and division are linked (6 x 4 = 24, so 24 / 6 = 4).
  • Groups must be equal.

CBSE marks blueprint

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

Typical chapter weightage: 4-5 marks in school tests, oral checks, notebooks, and activities

Question typeMarks eachTypical countWhat it tests
Very Short12-3Simple multiplication or repeated addition
Short Answer21-2Arrays, division, or the multiplication-division link
Activity / Project30-1Making arrays and writing facts
Prep strategy
  • Turn repeated addition into multiplication
  • Make arrays to see multiplication facts
  • Practise skip counting and doubling
  • Use the link between multiplication and division to check

Where this shows up in the real world

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

Quick counting

Multiplication counts equal groups fast, like rows of chairs or packs of items.

Sharing fairly

Division shares sweets, toys, or work into equal groups.

Shopping and packing

Buying packs and arranging items uses multiplication and division.

Exam strategy

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

  1. Underline the command word: multiply, share, array, or how many
  2. Write multiplication as groups x size
  3. For sharing, write total / number of groups
  4. Check using the multiplication-division link

Going beyond the textbook

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

  • Find a number that can be made into both 2 equal groups and 3 equal groups.
  • Draw two different arrays for the number 12.

Where else this chapter is tested

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

CBSE Class 4 School AssessmentHigh
Class 4 Foundation / Olympiad PracticeMedium
Notebook and Activity EvaluationHigh

Questions students ask

The real ones — pulled from the Q&A community and tutor sessions.

An array shows objects in equal rows and columns. For example, 3 rows of 4 makes an array for 3 x 4 = 12.

They are inverse operations. If 6 x 4 = 24, then dividing back gives 24 / 6 = 4 and 24 / 4 = 6.
Verified by the tuition.in editorial team
Last reviewed on 31 May 2026. Written and reviewed by subject-matter experts — read about our process.
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