CBSE Class 3 Mathematics Chapter 12: Can We Share - NCERT Solutions

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NCERT Solutions PDF Class 3 PDF

This chapter, 'Can We Share,' from CBSE Class 3 Mathematics, introduces the fundamental concept of division through equal sharing. The NCERT Solutions offer clear explanations and step-by-step problem-solving for exercises focused on distributing items into equal groups. Students will learn to determine the number of items in each group when the total number of items and the number of groups are known, and vice versa. The solutions cover practical scenarios involving sharing, helping young learners grasp the idea of division as repeated subtraction and equal distribution. These solutions are designed to build a strong foundation in arithmetic operations, aiding students in understanding mathematical concepts and preparing them for future learning. They serve as an excellent tool for revision, reinforcing the principles of division and equal sharing in an accessible manner.

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Quick info

BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 12

Chapter summary

Chapter 12, 'Can We Share,' for CBSE Class 3 Mathematics focuses on introducing the concept of division as equal sharing. The NCERT Solutions cover problems where students need to determine the number of items in each group or the number of groups when sharing a total quantity equally. Exercises involve drawing and grouping objects, reinforcing the relationship between multiplication and division through practical examples of sharing.

Learning outcomes

  • Understand the concept of division as equal sharing.
  • Solve problems involving distributing items into equal groups.
  • Determine the number of items per group or the number of groups.
  • Relate division to multiplication through practical examples.
  • Practice drawing and grouping objects to visualize division.

Topics covered

Paper topics

  • Introduction to Division
  • Equal Sharing
  • Grouping Objects
  • Division as Repeated Subtraction
  • Relating Division to Multiplication
  • Problem Solving with Division

Important topics

  • Understanding Division as Equal Sharing
  • Solving Problems with Equal Groups
  • Visualizing Division through Drawing
  • Basic Division Facts

PDF preview

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Questions and Solutions

Question 1

There are _____ caterpillars. They are in _____ groups. There are _____ caterpillars in each group.
Solution:

To solve this problem, we need to fill in the blanks based on the concept of equal sharing. The problem implies a division scenario where a total number of items are distributed into equal groups.

There are 21 caterpillars in total.

They are divided into 3 equal groups.

To find the number of caterpillars in each group, we divide the total number of caterpillars by the number of groups: 21 caterpillars ÷ 3 groups = 7 caterpillars per group.

Therefore, there are 7 caterpillars in each group.

Question 2

There are _____ laddoos. They are in _____ groups. There are _____ laddoos in each group.
Solution:

This question involves understanding how to distribute a total number of items into equal groups. We are given the total number of laddoos and the number of groups, and we need to find out how many laddoos are in each group.

There are 12 laddoos in total.

These laddoos are to be placed in 4 equal groups.

To find the number of laddoos in each group, we perform the division: 12 laddoos ÷ 4 groups = 3 laddoos per group.

So, there are 3 laddoos in each group.

Question 1 (Page No 162)

Draw 18 stars. Put them into 2 equal groups. There are stars in each group.
Solution:

This question asks us to visually represent the division of 18 stars into 2 equal groups. We need to draw the stars and then determine how many are in each group.

First, draw 18 stars. You can arrange them in rows or any pattern that makes it easy to divide them.

Next, divide these 18 stars into 2 equal groups. This means we need to find out what is 18 divided by 2.

Calculation: 18 stars ÷ 2 groups = 9 stars per group.

So, when you draw 18 stars and divide them into 2 equal groups, there will be 9 stars in each group.

Question 2 (Page No 162)

Draw 18 beads. Put them into 3 equal groups.
Solution:

This problem requires us to visualize and perform division by drawing. We need to represent 18 beads and then divide them equally into 3 groups.

Step 1: Draw 18 beads. You can draw them as small circles or dots.

Step 2: Divide these 18 beads into 3 equal groups. This means we are calculating 18 divided by 3.

Calculation: 18 beads ÷ 3 groups = 6 beads per group.

Therefore, when 18 beads are put into 3 equal groups, there will be 6 beads in each group.

Common mistakes

  • Confusing the total number of items with the number of items in each group.
  • Incorrectly calculating the number of groups when sharing.
  • Errors in repeated subtraction or skip counting for division.
  • Difficulty in visualizing the equal distribution of objects.

Revision tips

  • Practice drawing objects and physically grouping them to understand sharing.
  • Use the provided solutions to check your answers and understand the steps.
  • Relate the division problems to real-life sharing scenarios.
  • Review the connection between multiplication facts and division problems.

Practice MCQs

Q1. If 21 caterpillars are divided into 3 equal groups, how many caterpillars are in each group?

Q2. There are 12 laddoos to be shared equally into 4 groups. How many laddoos are in each group?

Q3. If you have 18 stars and put them into 2 equal groups, how many stars will be in each group?

Q4. Sharing 18 beads into 3 equal groups means each group will have:

Frequently asked questions

What is the main concept taught in CBSE Class 3 Maths Chapter 12?

Chapter 12, 'Can We Share,' introduces the fundamental concept of division through the idea of equal sharing and grouping.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each problem, helping students understand how to solve division and sharing problems accurately.

What kind of problems are covered in this chapter?

The chapter covers problems where students need to divide a total number of items into equal groups or determine how many items are in each group when sharing.

Are there any visual aids in the solutions?

The solutions encourage students to draw and group objects, which helps in visualizing the division process.

How can these solutions be used for revision?

Students can use these solutions to review the concept of division, check their work, and practice solving similar problems before exams.

Important links

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