NCERT Solutions for Class 2 Mathematics Joyful-Mathematics (English) Chapter 8

This blog provides complete NCERT solutions for Class 2 Mathematics Chapter 8 Grouping and Sharing, strictly based on the shared worksheet. The chapter explores multiplication as repeated addition, grouping objects, making multiplication tables, and equal sharing through fun activities like counting wheels, sharing gulab jamuns, and arranging beads. Understanding these concepts helps students build number sense, problem-solving skills, and confidence in basic math operations essential for exams. All answers and explanations below follow the worksheet content exactly, ensuring accuracy and reliability for your study needs. Download the worksheet and practice alongside these solutions for better clarity and learning. You can also book a free trial now to get expert guidance and improve writing and comprehension skills. The answers are presented in a simple and structured way to help students learn easily and confidently.

what this NCERT chapter covers?

1. Key concepts include grouping objects, repeated addition, introduction to multiplication (times), making multiplication tables (2, 3, 4, 5, 6, 7, 8, 10), and equal sharing.
2. Language skills covered are reading word problems about wheels, flowers, buttons, and food, following step-by-step instructions for grouping and sharing, and discussing real-life math situations.
3. The chapter helps in exams by strengthening mental math, improving understanding of multiplication and division concepts, and practicing NCERT-aligned problem formats that match board exam expectations.

how to use these NCERT solutions?

1. First, attempt all questions from the worksheet on your own without looking at the answers to test your understanding.
2. After completing your answers, compare them with the solutions provided here to check accuracy and identify areas for improvement.
3. Parents and teachers can guide students by discussing the explanations, encouraging hands-on activities like counting objects or sharing items, and reviewing multiplication and sharing strategies together.
4. Remember that these solutions follow the exact order and content of the shared worksheet, so use them as a direct reference for practice and revision.

important tips & tricks for students

1. Avoid copying answers without understanding; always read the word problems carefully and identify whether grouping or sharing is needed.
2. NCERT expects answers to show the working steps, especially when using repeated addition or making tables—do not skip the process.
3. To score full marks, ensure correct counting of groups, follow sharing instructions step-by-step, and complete multiplication facts accurately.
4. For open-ended questions or pattern extensions, remember that "Answers may vary." Focus on following the given pattern or rule consistently.

NCERT solutions – complete answer key

grouping and sharing introduction
Discussion: Discuss the importance of traffic rules with children.
Explanation: Discuss the importance of traffic rules with children.

let us do it for cars
Number of cars = 7
Number of wheels in each car = 4
Total wheels = 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
7 times 4 is 28
7 groups of 4 is 28
7 × 4 = 28

let us do
Let us see
How many fours are you adding? 7
We can write it as 7 fours are 28.

number of butterflies
Number of butterflies = 3
Number of wings in each butterfly = 2
Total number of wings = 2 + 2 + 2 = 6
or 3 groups of 2 is 6
3 times 2 is 6
3 twos are 6
3 × 2 = 6

number of octopuses
Number of octopuses = 2
Number of legs in each octopus = 8
Total number of legs = 8 + 8 = 16
2 groups of 8 is 16
2 times 8 is 16
2 eights are 16
2 × 8 = 16

number of lines
Number of lines = 4
Number of soldiers in each line = 10
Total number of soldiers = 10 + 10 + 10 + 10 = 40
4 times 10 is 40
4 tens are 40
4 × 10 = 40

match the following
9 + 9 + 9 — 3 × 9 — 27
5 + 5 + 5 + 5 + 5 + 5 + 5 — 7 fives are — 35
3 + 3 + 3 + 3 + 3 — 5 times 3 — 15
10 + 10 + 10 + 10 — 4 groups of 10 — 40
8 + 8 + 8 — 3 × 8 — 24
7 + 7 — 2 sevens are — 14
3 + 3 + 3 + 3 — 4 times 3 — 12

stars
5 + 5 + 5 — 3 times 5 — 15
fingers
6 times 3 — 3 + 3 + 3 + 3 + 3 + 3 — 18
bananas
4 × 4 = 16 — 4 + 4 + 4 + 4 — 16
oranges
2 × 5 = 10 — 5 + 5 — 10
pencils
3 × 5 = 15 — 5 + 5 + 5 — 15

complete the table of 2
2 ones are 2 — 2 × 1 = 2
2 twos are 4 — 2 × 2 = 4
2 threes are 6 — 2 × 3 = 6

complete the table of 3
3 ones are 3 — 3 × 1 = 3
3 twos are 6 — 3 × 2 = 6
3 threes are 9 — 3 × 3 = 9

complete the table of 5
5 ones are 5 — 5 × 1 = 5
5 twos are 10 — 5 × 2 = 10
5 threes are 15 — 5 × 3 = 15

complete the table of 10
10 ones are 10 — 10 × 1 = 10

how many?
4 groups of 5
4 times 5 is 20
4 × 5 = 20
There are 20 gulab jamuns.

3 groups of 4 flowers
3 × 4
Gopal used 12 flowers in all.

5 groups of 4
5 times 4 is 20
5 × 4 = 20
There are 20 gulab jamuns.

4 groups of 3 flowers
4 × 3
Ram used 12 flowers in all.
Observation: 3 × 4 = 12 and 4 × 3 = 12. Discuss.

6 groups of 4
6 times 4 is 24
6 × 4 = 24
There are 24 flowers.

4 groups of 6
4 times 6 is 24
4 × 6 = 24
There are 24 flowers.

a. there are 8 packets of bindis
Number of packets = 8
Number of bindis in each packet = 5
8 groups of 5 bindis.
8 × 5 = 40 bindis

b. bharti puts 4 buttons on each shirt
Number of shirts = 7
Number of buttons on each shirt = 4
7 groups of buttons
7 × 4 = 28 buttons

c. rita bought 6 pencils
Number of pencils = 6
Cost of 1 pencil = 4
Cost of 6 pencils = 4 + 4 + 4 + 4 + 4 + 4
6 × 4 = 24
So, Rita will give 24 to the shopkeeper.

d. five people can sit in a car
Number of people sitting in 1 car = 5
Number of people sitting in 8 cars = 8 × 5 = 40
40 people can sit in 8 cars.

making multiplication table
Rudra is making multiplication table of 4 using the table of 2.
Table of 2 + Table of 2 = Table of 4
Table of 3 + Table of 3 = Table of 6
Table of 3 + Table of 4 = Table of 7
Table of 2 + Table of 6 = Table of 8

project work
Collect 24 small objects like buttons, bottle caps, pebbles, etc. Arrange them in different arrays and write the related multiplication facts. How many of these facts can you find? Record your answers in the table given below.
Explanation: Collect 24 small objects like buttons, bottle caps, pebbles, etc. Arrange them in different arrays and write the related multiplication facts. Record your answers in the table given below. Number of groups Multiplication facts 3 groups of 4 3 × 4

let us share
A. How many gulab jamuns were there in total? 8
B. Have they shared equally? Yes
C. How many gulab jamuns did each of them get? 4

let us do
a. complete ritu's art and craft project
Draw 12 bindis equally on 2 ice cream cones as cherries.
Answers may vary.

b. pooja has 2 plates
Each plate has a different number of laddoos in it. Help her divide the laddoos equally in 3 plates.
Answers may vary.

how many groups?
a. each string has 7 beads
How many strings can we make with 21 beads?
21 beads / 7 beads = 3 strings

b. there are 54 flowers
Join 9 flowers to make 1 bracelet.
How many bracelets can we make with 54 flowers?
54 flowers / 9 flowers = 6 bracelets

c. there are 25 roses
5 roses can be placed in 1 vase.
How many vases are needed for placing 25 roses?
25 roses / 5 roses = 5 vases

d. there are 27 candles
Put them equally in 3 boxes.
How many candles will be in each box?
27 candles / 3 boxes = 9 candles in each box

e. a tailor puts 6 buttons on one shirt
Here are 30 buttons.
The tailor will be able to put 30 buttons on 5 shirts.
30 buttons / 6 buttons = 5 shirts

f. share 24 bananas equally among 3 monkeys
Each monkey will get 8 bananas.
24 bananas / 3 monkeys = 8 bananas

why NCERT solutions help students?

Using these NCERT solutions helps students prepare confidently for exams by providing accurate, worksheet-aligned answers. They clarify concepts through step-by-step solutions using grouping, sharing, and multiplication tables, reinforce NCERT expectations for showing working steps, and build self-assurance when practicing math operations and word problems. Regular use of these solutions ensures students stay on track with the syllabus and develop strong foundational skills in Mathematics.

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