CBSE Class 4 Mathematics Chapter 9: Halves and Quarters NCERT Solutions

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NCERT Solutions PDF Class 4 PDF

CBSE Class 4 Mathematics Chapter 9, 'Halves and Quarters,' introduces young learners to the foundational ideas of dividing things into equal parts. The NCERT Solutions for this chapter offer clear, step-by-step guidance, using relatable examples such as sharing chapatis or chocolates. Students will explore how to visually represent halves and quarters by dividing shapes and recognizing these equal portions. The aim is to build a solid understanding of basic fractions, making the concepts easy to grasp. These solutions are crafted to reinforce learning through straightforward explanations and visual aids, helping students prepare effectively for their exams by mastering these essential fraction concepts.

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Quick info

BoardCBSE
ClassClass 4
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 9

Chapter summary

Chapter 9, 'Halves and Quarters,' for Class 4 Mathematics NCERT Solutions, introduces students to the basic concepts of fractions. It covers dividing whole items into two equal parts (halves) and four equal parts (quarters). The exercises involve practical scenarios like sharing food and dividing shapes, helping students visualize and understand equal division. This chapter lays the groundwork for more advanced fraction concepts.

Learning outcomes

  • Understand the concept of dividing a whole into two equal parts (halves).
  • Understand the concept of dividing a whole into four equal parts (quarters).
  • Visually represent halves and quarters of shapes and objects.
  • Solve problems involving equal sharing of quantities.
  • Identify the portion received when a whole is divided equally.

Topics covered

Paper topics

  • Halves
  • Quarters
  • Equal division
  • Fractions
  • Sharing
  • Shapes

Important topics

  • Understanding Halves
  • Understanding Quarters
  • Visualizing Fractions
  • Equal Sharing Problems

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Questions and Solutions

Question 1

Half-Half: If the cats ask you to divide the chapati equally, how will you divide it?
Solution:

To divide a chapati equally for two cats, you would cut it exactly in the middle, creating two identical pieces. Each piece represents one half (1/2) of the whole chapati.

Question 2

Half of Half: If two more cats come for food, how will you divide one chapati equally for four cats?
Solution:

If there are four cats, you need to divide the chapati into four equal parts. First, cut the chapati in half. Then, cut each of those halves in half again. This will result in four equal pieces, with each cat receiving one piece, which is one quarter (1/4) of the chapati.

Question 3

Half of Many Pieces: Rani got a chocolate. She divided it equally and gave half to her friend Reena.

Circle the portion that Reena got. How many pieces of chocolate are there? How many pieces were left with Rani?

Solution:

The image shows a chocolate divided into 6 equal pieces.

Rani gave half of her chocolate to her friend Reena. Half of 6 pieces is calculated by dividing 6 by 2:

6 \div 2 = 3

So, Reena got 3 pieces of chocolate. These 3 pieces should be circled in the image.

The number of pieces left with Rani is the total pieces minus the pieces given to Reena:

6 - 3 = 3

Rani was left with 3 pieces of chocolate.

Question 1 (Page 96)

Draw different shapes using these triangles. One such shape is shown here.
Solution:

Students can use the provided triangles to create various shapes by arranging them. The image shows one example of a shape formed by combining triangles. Other possible shapes can be formed by arranging the triangles in different patterns, such as squares, rectangles, or more complex geometric figures, by fitting their edges together.

For instance, two triangles can form a rectangle or a larger triangle. Four triangles can form a square or a larger rhombus. Students are encouraged to experiment with different arrangements to discover new shapes.

Common mistakes

  • Confusing halves and quarters.
  • Not dividing the whole into truly equal parts.
  • Difficulty in visually representing fractional parts of shapes.

Revision tips

  • Practice drawing halves and quarters of various shapes.
  • Use real-life objects to demonstrate equal sharing.
  • Review the visual examples provided in the solutions.
  • Explain the concepts of halves and quarters to a friend or family member.

Practice MCQs

Q1. If a chapati is divided equally for two cats, what fraction does each cat get?

Q2. If one chapati is divided equally among four cats, what fraction does each cat receive?

Q3. Rani divided her chocolate equally and gave half to Reena. If the chocolate had 6 pieces, how many pieces did Reena get?

Q4. If Rani had 6 pieces of chocolate and gave 3 to Reena, how many pieces were left with Rani?

Frequently asked questions

What is the main concept covered in CBSE Class 4 Maths Chapter 9?

Chapter 9, 'Halves and Quarters,' focuses on introducing students to the basic concepts of dividing whole objects or quantities into two equal parts (halves) and four equal parts (quarters).

How do the NCERT Solutions for Chapter 9 help students?

These solutions provide step-by-step explanations and visual examples to help students understand and visualize halves and quarters, making the learning process easier and more engaging.

What kind of problems are included in this chapter?

The chapter includes problems related to dividing chapatis, chocolates, and drawing shapes to represent halves and quarters, focusing on practical application of the concepts.

Are the solutions for Chapter 9 suitable for exam revision?

Yes, the clear and concise explanations in these solutions are excellent for revising the concepts of halves and quarters before exams, ensuring a good understanding of equal division.

Important links

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