NCERT Revision Notes for Class 2 Maths Chapter 8: Grouping and Sharing – Free PDF Download

Chapter 8 of Class 2 Maths, Grouping and Sharing, introduces the earliest informal ideas of multiplication (grouping equal sets) and division (sharing equally), building directly on the repeated addition ideas from Class 1.

Last Updated: September 23, 2026

Key Concepts

Grouping (multiplication readiness): making equal-sized groups of objects and finding the total by counting the groups, such as 4 groups of 3 objects each.

Sharing equally (division readiness): dividing a total number of objects equally among a certain number of people or groups.

Equal groups vs unequal groups: understanding that grouping and sharing only work fairly when every group has the same number of objects.

Leftover objects (remainder): when a total cannot be shared perfectly equally, some objects may be left over after sharing.

Connecting grouping and sharing: grouping asks “how many groups of a certain size fit into a total”, while sharing asks “how many objects does each person get when a total is divided equally”.

Worked Examples

Example 1

There are 12 sweets. If they are grouped into sets of 3, how many groups are formed? 12 shared into groups of 3 gives 4 groups (3 + 3 + 3 + 3 = 12).

Example 2

15 pencils are shared equally among 5 children. How many pencils does each child get? 15 ÷ 5 = 3 pencils each.

Example 3

14 candies are shared equally among 4 friends. How many candies does each friend get, and how many are left over? Each friend gets 3 candies (4 x 3 = 12), and 2 candies are left over.

Quick Recap

• Grouping means making equal-sized sets of objects from a total.
• Sharing means dividing a total equally among a fixed number of people or groups.
• For grouping and sharing to be fair, every group or share must have the same number of objects.
• Sometimes a total cannot be shared perfectly, leaving some objects over as a remainder.
• Grouping and sharing are the early, informal foundations of multiplication and division.

Common Mistakes to Avoid

• Making groups of unequal size and still calling the grouping “equal”.
• Forgetting to check for leftover objects after sharing a total that does not divide evenly.
• Confusing grouping (finding how many groups) with sharing (finding how much each person gets).
• Losing count of objects while physically grouping or sharing them, leading to an incorrect total.
• Assuming every sharing problem will divide perfectly with no remainder.

Home Practice Tips

• Use small snacks or toys at home to physically practise grouping them into equal sets.
• Practise sharing a small number of objects equally among family members and checking for leftovers.
• Ask the child to group the same total number of objects in different equal sizes, like groups of 2, then groups of 3.
• Turn distributing items during a meal or game into a quick sharing activity.
• Use simple word problems involving toys, sweets, or fruits to make the ideas concrete.

Frequently Asked Questions

Q1. Is this chapter teaching formal multiplication and division?
Not yet formally — it introduces grouping and sharing informally through real objects and stories, which becomes the basis for multiplication and division taught with proper symbols in later classes.

Q2. What is the difference between grouping and sharing?
Grouping starts with a total and a group size to find how many groups are formed, while sharing starts with a total and a number of people to find how much each person gets.

Q3. What happens when a total cannot be shared equally?
Some objects are left over after sharing as equally as possible; this leftover amount is called a remainder.

Q4. How can I practise grouping and sharing with my child at home?
Use everyday items like sweets, pencils, or toys, and ask the child to make equal groups or share them equally among family members, checking for any leftovers.

Q5. How does this chapter prepare children for later maths topics?
Understanding equal grouping and fair sharing builds the number sense needed before learning formal multiplication tables and division methods in higher classes.

Full walkthrough: Chapter 8 Solutions for step-by-step textbook answers.

Written by Satish

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