Class 3 Maths Chapter 8 Fair Share NCERT Solutions - FREE PDF Download
Understand the NCERT Solutions for Class 3 Maths Chapter 8: Fair Share with easy and step-by-step solutions created by our Vedantu Experts. This chapter focuses on the concept of dividing objects and quantities equally among groups, helping students understand fair distribution and sharing.
Table of Content
The PDF provides clear, step-by-step solutions to exercises and questions from the textbook according to the Class 3 Maths Syllabus, making it easier for students to grasp these fundamental concepts. Ideal for quick revision and practice, the Class 3 Maths NCERT solutions PDF will support effective learning and prepare students well for their exams.
Glance on Class 3 Maths Chapter 8 - Fair Share
The Class 3 Maths Chapter 8 - Fair Share includes exercises to practice dividing items among a group, helping students grasp the concept of fairness in sharing.
This Chapter introduces basic division and equality concepts in a practical, easy-to-understand way.
Students learn how to solve problems related to fair sharing, such as distributing objects evenly.
The chapter emphasises real-life situations, like sharing snacks or toys, to make the concept relatable.
It includes step-by-step examples to guide students through the process of dividing items into equal parts.
Shabnam and Mukta are enjoying their lunch break.
How do you think they are going to share the chocolate and the paratha equally?
Think about a strategy that you can use to check whether
two pieces are equal or not.
Answer: To check if the two pieces are equal, you can:
Compare the sizes visually to see if they look the same.
Measure the pieces using a ruler or scale to ensure they have the same length or weight.
Use equal parts by cutting the pieces in half and ensuring both halves match.
Let us Discuss
Question 1. How do you share objects equally?
Answer: I can divide countable objects equally by simply counting them and ensuring each group gets the same number..
Question 2. Why is Shabnam folding the paratha over itself?
This is a whole paratha.
Tick (✓)the paratha that has been cut equally.
Answer: Shabnam is folding the paratha to check if both sides are equal. By folding it in half, she can ensure that each part is of the same size, making sure the division is fair and equal.
Let us Do:
Question 1. Circle the shapes where half of the whole is shaded.
Answer:
Question 2. Draw a line to show one-half of the whole.
Answer:
Question 3. Shabnam has eaten some chikki from 3 sides.
Tick (✓) how much chikki is left?
(a) less than half
(b) more than Half
(c) Half
Answer: (b) more than Half
Question 4. Show by colouring half a chikki that has been eaten from 2 sides.
Answer:
Question 5. Draw lines to show different ways of making a half
Answer:
Question 6. Complete the whole picture by drawing the other half.
Answer:
Let us Explore
Take a rectangular sheet of paper and fold it in half. Find all the different ways to make a half.
Take a square piece of paper and fold it in half. Find all the different ways to make a half.
Answer: This is an activity for students to do and find all the possible ways to make it half.
Let us Discuss:
There was an old man with two sons Amit and Bala. He gave a mango tree, a solar lamp and a woollen blanket to them. He asked them to share these things among themselves. Amit was a cunning man. He told his brother ‘Let us share the objects equally. I will keep the fruits, you keep the tree. I will keep the lamp during the night, you can keep it during the day. I will keep the blanket for half the year during winter. You can keep it for half the year during summer.’ Bala agreed.
Is this a fair way of sharing? Is there another way to share it fairly?
Is this a fair way of sharing?
Answer: No, Amit's way of sharing is not entirely fair. He gets most of the useful benefits, especially the fruits, and more valuable use of the items.
Is there another way to share it fairly?
Answer: A fairer way to share would be for Amit and Bala to alternate using all the items equally. They could share the fruits equally from the mango tree and alternate the use of the solar lamp and blanket during both the day and night, instead of keeping them only for part of the year or time of day. This way, both brothers would benefit equally from all the items.
Let us Do
Here are some mangoes. Share them equally between the two children
Answer:
Half and double
Fill in the following blanks using double or half.
Answer:
4 marbles are half of 8 marbles
8 marbles are double of 4 marbles
10 marbles are double of 5 marbles
5 marbles are half of 10 marbles
6 marbles are half of 12 marbles
12 marbles are double of 6 marbles.
On a number line, how far is 13 from the double of 7? How far is 5 from half of 14?
Answer:
Double of 7 = 14
13 is one step back from 14.
Half of 14 = 7
5 is two steps back from 7.
Guess who am I?
Use the clues to find the right fraction. Tick the correct box from the given 3 options.
Question 1. I have less than double of 3 marbles.
I have more than half of 8 marbles.
Answer:
Question 2.
I have less than double of 4 marbles.
I have more than half of 10 marbles.
Answer:
What part of the chikki did each get?
Answer: Quarter.
How many quarters in a whole?
Answer: 4.
Let us Do
Question 1. Tick (✓) the objects that show quarters.
Answer:
Question 2. Draw lines to make a quarter of the whole.
Answer:
Question 3. Draw the remaining three quarters and complete the whole.
Answer:
Question 4. Draw the remaining quarters to compete the whole
Answer:
Half of quarter?
Tick (✓) the appropriate word to fill the blanks below.
Shabnam has coloured half/a quarter of the birds.
Mukta has coloured half/a quarter of the birds.
Shabnam has coloured half/double the number of birds that Mukta has coloured.
Lakshanya and Peehu have 16 flowers each
Answer:
Quarters and Whole
Let us Do:
Question 1. Tick (✓) the shapes below that show three-quarters.
Answer:
Question 2. Colour the shapes below to show the fractions as instructed.
Answer:
Question 3. Draw lines and colour the shapes below to show the fractions as instructed.
Answer:
Question 4. Here is a rectangle which shows quarters. Discuss how.
Answer:
Total blocks = 16
4 blocks are orange
4 blocks are blue
4 blocks are green
4 blocks are yellow
4 blocks are one-quarter of 16 blocks
So, a rectangle is showing quarters.
Question 5. Show quarters and halves in different ways in the grids given below.
Answer:
Question 6. Use the fraction cards from your book to form a whole.
Answer: Do yourself.
Benefits of NCERT Solutions for Class 3 Maths Chapter 8 Fair Share
The solutions explain how to divide things equally in a simple way, helping students understand fair sharing.
Each problem is solved step-by-step, making it easier for students to follow and solve similar problems on their own.
Students get more practice with dividing and sharing, improving their math skills.
The solutions cover important questions, making them helpful for revising and preparing for exams.
Checking answers using the solutions builds confidence in solving maths problems correctly.
You can also check out Class 3 Maths Fair Share Revision Notes for quick revision of this chapter.
Conclusion
The NCERT Solutions for Class 3 Maths Chapter 8 "Fair Share" make learning the concept of equal division easy and enjoyable for students. With clear step-by-step explanations, these solutions help children understand how to divide objects or quantities equally. They provide useful practice, improve math skills, and build confidence in solving problems. These solutions are a great tool for exam preparation and ensuring students grasp the core concepts of fair sharing effectively.
Chapter-wise NCERT Solutions Class 3 Maths
After familiarising yourself with the Class 3 Maths Chapter 8 Question Answers, you can access comprehensive NCERT Solutions for all Chapters in Class 3 Maths.
Related Important Links for Maths Class 3
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 3.
FAQs on NCERT Solutions for Class 3 Maths Chapter 8 Fair Share
1. What are NCERT Solutions for Class 3 Maths Chapter 8 Fair Share as per the latest 2025–26 syllabus?
NCERT Solutions for Class 3 Maths Chapter 8 Fair Share provide clear, stepwise answers to all textbook questions, focusing on fair sharing, halves, quarters, and division of objects. The solutions ensure students understand equal distribution using simple methods and real-life examples, aligning with the CBSE 2025–26 syllabus.
2. How do you divide objects equally as shown in the NCERT Solutions for Class 3 Maths Chapter 8?
To divide objects equally, as per NCERT Solutions for Class 3 Maths Chapter 8 Fair Share:
- Count the total objects.
- Divide the total by the number of groups or people.
- Ensure each group gets the same number, without any remainder.
3. Why is folding used to check equal parts in Chapter 8 Fair Share NCERT Solutions?
Folding is used in NCERT Solutions for Fair Share to visually check if two parts are equal. When you fold an object, the two sides should match exactly. This method helps students understand the concept of fairness and equality in division.
4. What misconceptions do students often have about halves and quarters, and how do NCERT Solutions address them?
Students may think any two parts are halves or four parts are quarters, even if they're unequal. The NCERT Solutions clarify that halves and quarters must be equal in size or amount. Techniques such as folding or measuring are recommended to check for equality.
5. How do NCERT Solutions for Class 3 Maths Chapter 8 help in understanding the concept of quarters?
These solutions break down the process into steps:
- Divide the whole into four equal parts.
- Each part is called a quarter.
- Practice is given using various shapes and real-life objects to identify and create quarters visually.
6. In what ways do NCERT Solutions promote logical reasoning using real-life sharing scenarios?
NCERT Solutions for Chapter 8 present relatable situations—like sharing food or objects—to teach logical division. Questions encourage students to think about fair distribution and discuss why some methods may not be truly fair, prompting critical thinking.
7. Can parents use NCERT Solutions for Class 3 Maths Chapter 8 to help with homework?
Yes, the NCERT Solutions offer simple, step-by-step answers and explanations, making them a practical guide for parents helping children with homework or practice problems related to fair sharing and equal division.
8. What key math skills are developed by practicing the solutions for Class 3 Maths Chapter 8 Fair Share?
Students enhance skills like:
- Counting and grouping
- Understanding division as equal sharing
- Recognizing and creating halves and quarters
- Applying math concepts in daily life scenarios
9. How do the solutions ensure full coverage of the Class 3 Maths Chapter 8 NCERT textbook?
NCERT Solutions cover each exercise and question from Chapter 8, including practical and activity-based questions, to make sure every concept of fair share and fraction is addressed as per the curriculum.
10. What is the importance of ‘fairness’ in sharing according to NCERT Solutions for this chapter?
Fairness in sharing is highlighted to help young students appreciate equality and justice. The chapter uses math problems to build an understanding that division must be equal to be considered fair, both in calculations and real life.
11. How are visual models (like shaded shapes) used to teach halves and quarters in Chapter 8 NCERT Solutions?
Visuals such as shaded circles, squares, or rectangles help students see equal parts instantly. The solutions include drawing, shading, or identifying equal portions, promoting conceptual clarity through hands-on learning.
12. What should a student do if an item cannot be shared equally as per the NCERT Solutions?
The NCERT Solutions recommend:
- Explaining why sharing is not possible (e.g., indivisible object without splitting)
- Suggesting alternatives, like breaking the item down or substituting with exchange
- Emphasizing the need for all portions to remain equal if dividing
13. How does Chapter 8 in Class 3 Maths connect to higher maths concepts?
By mastering fair sharing, halves, and quarters in Class 3, students build the foundation for fraction, division, and equality concepts that become crucial in higher classes for topics like ratios, percentages, and problem-solving.
14. How do NCERT Solutions help students check their answers and boost confidence in math?
By providing accurate, step-by-step NCERT-approved methods, students can compare their solutions, quickly identify mistakes, and correct them early. Repeated practice with these solutions builds strong core math confidence.
15. Why should NCERT Solutions for Class 3 Maths Chapter 8 be used for exam revision?
These NCERT Solutions offer quick, structured revision ensuring all types of questions—conceptual, practical, activity-based—are covered. They boost exam readiness for Class 3 students by reinforcing all key chapter learnings on fair share and fractions.
