NCERT Solutions for Class 2 Maths Chapter 8 Grouping and Sharing (PDF) – 2027
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NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 8 Grouping and Sharing – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.
This chapter is about equal groups and sharing equally. We learn “times” and the sign ×.
NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 8 Grouping and Sharing PDF
All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.
NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 8 Grouping and Sharing – Questions and Answers
All 50 questions of the chapter (textbook pages 83 – 97) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.
In-text Questions — Page 83Grouping and Sharing — wheels on the road
Q1I am counting the wheels of autorickshaws and bicycles by adding the number of their wheels. But I missed the cars as they had started moving. 2 + 2 + 2 + 2 = 8 3 + 3 = 6 4 + 4 + ____The road: cars, autorickshaws and bicycles.
Answer
4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
Count the cars. There are 7.
Each car has 4 wheels.
Add 4 seven times: 4, 8, 12, 16, 20, 24, 28.
Q2Ok! I will show you a way of finding the total number of wheels. There were 7 cars and each car had 4 wheels, so the total number of wheels is 7 times 4, means 28. How did you do it Ramya? Can you please explain?The road: cars, autorickshaws and bicycles.
Answer
7 times 4 is 28.
There are 7 cars.
Each car has 4 wheels. That is 7 groups of 4.
Add 4 again and again: 4, 8, 12, 16, 20, 24, 28.
Let us Do — Page 84Let us do it for cars
Q1Let us do it for cars. Number of cars = ____ Number of wheels in each car = ____The road: cars, autorickshaws and bicycles.
Answer
Number of cars = 7 Number of wheels in each car = 4
Look at the road picture.
Count only the cars: 7.
A car has 4 wheels.
Q2Let us do it for cars. Total wheels = ___ + ___ + ___ + ___ + ___ + ___ + ___ = ___The road: cars, autorickshaws and bicycles.
Answer
Total wheels = 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
Write 4 for each car.
There are 7 cars. So write 4 seven times.
Add: 4, 8, 12, 16, 20, 24, 28.
Q3Let us do it for cars. ____ times 4 is ____ 7 groups of ____ is ____ ____ × ____ = ____The road: cars, autorickshaws and bicycles.
Answer
7 times 4 is 28 7 groups of 4 is 28 7 × 4 = 28
We added 4 seven times.
So it is 7 times 4.
Times can be written as ×.
Q4How many fours are you adding? ____ We can write it as 7 fours are 28.The road: cars, autorickshaws and bicycles.
Answer
7 fours
Look at the sum: 4 + 4 + 4 + 4 + 4 + 4 + 4.
Count the 4s. There are 7.
Let us Do — Page 85Butterflies, octopuses and soldiers
Q1Number of butterflies = ____ Number of wings in each butterfly = ____ Total number of wings = ___ + ___ + ___ = ___The butterflies.
Answer
Butterflies = 3 Wings in each = 2 Total = 2 + 2 + 2 = 6
Count the butterflies: 3.
Count the wings on one: 2.
Add 2 three times: 2, 4, 6.
Q2or 3 groups of ____ is ____ ____ times 2 is 6 3 twos are ____ ____ × ____ = ____The butterflies.
Answer
3 groups of 2 is 6 3 times 2 is 6 3 twos are 6 3 × 2 = 6
Each butterfly is a group of 2 wings.
3 butterflies make 3 groups of 2.
Q3Number of octopuses = ____ Number of legs in each octopus = ____ Total number of legs = ___ + ___ = ___The octopuses.
Answer
Octopuses = 2 Legs in each = 8 Total = 8 + 8 = 16
Count the octopuses: 2.
Count the legs on one: 8.
Add: 8 + 8 = 16.
Q42 groups of ____ is ____ 2 times ____ is 16 2 eights are ____ ____ × ____ = ____The octopuses.
Answer
2 groups of 8 is 16 2 times 8 is 16 2 eights are 16 2 × 8 = 16
Each octopus is a group of 8 legs.
2 octopuses make 2 groups of 8.
Q5Number of lines = ____ Number of soldiers in each line = ____ Total number of soldiers = ___ + ___ + ___ + ___ = ___Soldiers standing in lines.
Answer
Lines = 4 Soldiers in each line = 10 Total = 10 + 10 + 10 + 10 = 40
Count the lines: 4.
Count the soldiers in one line: 10.
Count in tens: 10, 20, 30, 40.
Q6____ times ____ is 40 4 tens are ____ ____ × ____ = ____Soldiers standing in lines.
Answer
4 times 10 is 40 4 tens are 40 4 × 10 = 40
There are 4 lines of 10.
That is 4 times 10.
Complete the Table — Page 86One row of the table on each card. The Stars row is done in the book.
Q1Complete the TableHands.
3 + 3 + 3 + 3
4 times 3
4 × 3 = 12 Stars
5 + 5 + 5
______
______ Fingers
Answer
3 times 5 · 3 × 5 = 15 Fingers
There are 3 hands.
Each hand has 5 fingers.
Add: 5, 10, 15.
5 + 5 + 5
3 times 5
3 × 5 = 15 Fingers
Q2Complete the TableBunches of bananas.
3 + 3 + 3 + 3
4 times 3
4 × 3 = 12 Stars
______
6 times 3
______ Bananas
Answer
3 + 3 + 3 + 3 + 3 + 3 · 6 × 3 = 18 Bananas
There are 6 bunches.
Each bunch has 3 bananas.
Add 3 six times: 3, 6, 9, 12, 15, 18.
3 + 3 + 3 + 3 + 3 + 3
6 times 3
6 × 3 = 18 Bananas
Q3Complete the TableBoxes of oranges.
3 + 3 + 3 + 3
4 times 3
4 × 3 = 12 Stars
______
______
4 × 4 = 16 Oranges
Answer
4 + 4 + 4 + 4 · 4 times 4
There are 4 boxes.
Each box has 4 oranges.
Add: 4, 8, 12, 16.
4 + 4 + 4 + 4
4 times 4
4 × 4 = 16 Oranges
Q4Complete the TablePencils.
3 + 3 + 3 + 3
4 times 3
4 × 3 = 12 Stars
______
______
2 × 5 = 10 Pencils
Answer
5 + 5 · 2 times 5
There are 2 rows of pencils.
Each row has 5 pencils.
5 + 5 = 10.
5 + 5
2 times 5
2 × 5 = 10 Pencils
Q5Complete the TableBalls.
3 + 3 + 3 + 3
4 times 3
4 × 3 = 12 Stars
______
______
3 × 5 = 15 Balls
Answer
5 + 5 + 5 · 3 times 5
There are 3 rows of balls.
Each row has 5 balls.
Add: 5, 10, 15.
5 + 5 + 5
3 times 5
3 × 5 = 15 Balls
Match the Following — Page 86Match each sum with its times fact and its answer
Q1Match the Following
9 + 9 + 9
7 fives are
27
5 + 5 + 5 + 5 + 5 + 5 + 5
4 groups of 10
35
3 + 3 + 3 + 3 + 3
3 × 9
40
10 + 10 + 10 + 10
3 × 8
14
8 + 8 + 8
2 sevens are
15
7 + 7
5 times 3
24
The book has matched 3 + 3 + 3 + 3 + 3 → 5 times 3 → 15. 9 + 9 + 9
Answer
9 + 9 + 9 → 3 × 9 → 27
9 is added 3 times. That is 3 × 9.
Add: 9 + 9 = 18. 18 + 9 = 27.
Q2Match the Following
9 + 9 + 9
7 fives are
27
5 + 5 + 5 + 5 + 5 + 5 + 5
4 groups of 10
35
3 + 3 + 3 + 3 + 3
3 × 9
40
10 + 10 + 10 + 10
3 × 8
14
8 + 8 + 8
2 sevens are
15
7 + 7
5 times 3
24
The book has matched 3 + 3 + 3 + 3 + 3 → 5 times 3 → 15. 5 + 5 + 5 + 5 + 5 + 5 + 5
Answer
5 + 5 + 5 + 5 + 5 + 5 + 5 → 7 fives are → 35
Count the 5s. There are 7.
Count in fives: 5, 10, 15, 20, 25, 30, 35.
Q3Match the Following
9 + 9 + 9
7 fives are
27
5 + 5 + 5 + 5 + 5 + 5 + 5
4 groups of 10
35
3 + 3 + 3 + 3 + 3
3 × 9
40
10 + 10 + 10 + 10
3 × 8
14
8 + 8 + 8
2 sevens are
15
7 + 7
5 times 3
24
The book has matched 3 + 3 + 3 + 3 + 3 → 5 times 3 → 15. 10 + 10 + 10 + 10
Answer
10 + 10 + 10 + 10 → 4 groups of 10 → 40
There are 4 tens.
Count in tens: 10, 20, 30, 40.
Q4Match the Following
9 + 9 + 9
7 fives are
27
5 + 5 + 5 + 5 + 5 + 5 + 5
4 groups of 10
35
3 + 3 + 3 + 3 + 3
3 × 9
40
10 + 10 + 10 + 10
3 × 8
14
8 + 8 + 8
2 sevens are
15
7 + 7
5 times 3
24
The book has matched 3 + 3 + 3 + 3 + 3 → 5 times 3 → 15. 8 + 8 + 8
Answer
8 + 8 + 8 → 3 × 8 → 24
8 is added 3 times. That is 3 × 8.
Add: 8 + 8 = 16. 16 + 8 = 24.
Q5Match the Following
9 + 9 + 9
7 fives are
27
5 + 5 + 5 + 5 + 5 + 5 + 5
4 groups of 10
35
3 + 3 + 3 + 3 + 3
3 × 9
40
10 + 10 + 10 + 10
3 × 8
14
8 + 8 + 8
2 sevens are
15
7 + 7
5 times 3
24
The book has matched 3 + 3 + 3 + 3 + 3 → 5 times 3 → 15. 7 + 7
Answer
7 + 7 → 2 sevens are → 14
7 is added 2 times.
7 + 7 = 14.
Complete the Table — Pages 87–88Complete the Table of 2 · of 3 · of 5 · of 10
Q1Complete the Table of 2The picture for 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
______
______
______
______
______
______
______
______
______
______
______
______
______
______
Answer
The table of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Each row has 2 groups. Each group gets 1 more.
So each line is 2 more than the one before.
Row 4: 2 fours are 8. 2 × 4 = 8.
2 ones are 2
2 × 1 = 2
2 twos are 4
2 × 2 = 4
2 threes are 6
2 × 3 = 6
2 fours are 8
2 × 4 = 8
2 fives are 10
2 × 5 = 10
2 sixes are 12
2 × 6 = 12
2 sevens are 14
2 × 7 = 14
2 eights are 16
2 × 8 = 16
2 nines are 18
2 × 9 = 18
2 tens are 20
2 × 10 = 20
Q2Complete the Table of 3The picture for 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
______
______
______
______
______
______
______
______
______
______
______
______
______
______
Answer
The table of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Each row has 3 groups. Each group gets 1 more.
So each line is 3 more than the one before.
Row 4: 3 fours are 12. 3 × 4 = 12.
3 ones are 3
3 × 1 = 3
3 twos are 6
3 × 2 = 6
3 threes are 9
3 × 3 = 9
3 fours are 12
3 × 4 = 12
3 fives are 15
3 × 5 = 15
3 sixes are 18
3 × 6 = 18
3 sevens are 21
3 × 7 = 21
3 eights are 24
3 × 8 = 24
3 nines are 27
3 × 9 = 27
3 tens are 30
3 × 10 = 30
Q3Complete the Table of 5The picture for 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
______
______
______
______
______
______
______
______
______
______
______
______
______
______
Answer
The table of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Each row has 5 groups. Each group gets 1 more.
So each line is 5 more than the one before.
Row 4: 5 fours are 20. 5 × 4 = 20.
5 ones are 5
5 × 1 = 5
5 twos are 10
5 × 2 = 10
5 threes are 15
5 × 3 = 15
5 fours are 20
5 × 4 = 20
5 fives are 25
5 × 5 = 25
5 sixes are 30
5 × 6 = 30
5 sevens are 35
5 × 7 = 35
5 eights are 40
5 × 8 = 40
5 nines are 45
5 × 9 = 45
5 tens are 50
5 × 10 = 50
Q4Complete the Table of 10The picture for the table of 10.
10 ones are 10
10 × 1 = 10
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
Answer
The table of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Each row has 10 groups. Each group gets 1 more.
So each line is 10 more than the one before.
Row 2: 10 twos are 20. 10 × 2 = 20.
10 ones are 10
10 × 1 = 10
10 twos are 20
10 × 2 = 20
10 threes are 30
10 × 3 = 30
10 fours are 40
10 × 4 = 40
10 fives are 50
10 × 5 = 50
10 sixes are 60
10 × 6 = 60
10 sevens are 70
10 × 7 = 70
10 eights are 80
10 × 8 = 80
10 nines are 90
10 × 9 = 90
10 tens are 100
10 × 10 = 100
How Many? — Pages 89–90Ram’s and Gopal’s flowers, gulab jamuns and a flower cloth
Q1There are 4 bouquets. 4 groups of 3 flowers 4 × 3 Ram used 12 flowers in all. There are 3 bouquets. 3 groups of 4 flowers 3 × 4 Gopal used 12 flowers in all. Did you observe something? Discuss. Test your observation with other examples.Ram’s bouquets and Gopal’s bouquets.
Answer
4 × 3 and 3 × 4 are both 12.
Ram: 3 + 3 + 3 + 3 = 12.
Gopal: 4 + 4 + 4 = 12.
Test: 2 × 5 = 10. 5 × 2 = 10 too.
Q24 groups of 5 ___ times 5 is ____ 4 × 5 = _____ There are ____ gulab jamuns.Gulab jamuns in a box.
Answer
4 times 5 is 20 4 × 5 = 20 There are 20gulab jamuns.
There are 4 columns.
Each column has 5.
Count in fives: 5, 10, 15, 20.
Q35 groups of 4 ___ times 4 is ____ 5 × 4 = ______ There are ____ gulab jamuns.Gulab jamuns in a box.
Answer
5 times 4 is 20 5 × 4 = 20 There are 20gulab jamuns.
There are 5 columns.
Each column has 4.
Count in fours: 4, 8, 12, 16, 20.
Q46 groups of 4 ___ times 4 is ____ 6 × 4 = ______ There are ______ flowers.Flowers on a cloth.
Answer
6 times 4 is 24 6 × 4 = 24 There are 24 flowers.
There are 6 columns.
Each column has 4 flowers.
Count in fours: 4, 8, 12, 16, 20, 24.
Q54 groups of 6 __ times 6 is ____ 4 × 6 = _____ There are ____ flowers.Flowers on a cloth.
Answer
4 times 6 is 24 4 × 6 = 24 There are 24 flowers.
There are 4 columns.
Each column has 6 flowers.
Count in sixes: 6, 12, 18, 24.
In-text Questions — Pages 90–91Word problems A to D: equal groups
Q1A. There are 8 packets of bindis. Each packet has 5 bindis. Number of packets = ____ Number of bindis in each packet = ____ ____ groups of ____ bindis. ____ × ____ = ____ bindisPackets of bindis.
Answer
Number of packets = 8 Number of bindis in each packet = 5 8 groups of 5bindis. 8 × 5 = 40bindis
Count in fives, one packet at a time.
5, 10, 15, 20, 25, 30, 35, 40.
Q2B. Bharti puts 4 buttons on each shirt. She wants to put buttons on 7 shirts. Number of shirts = ____ Number of buttons on each shirt = ____ ____ groups of ____ buttons ____ × ____ = ____ buttonsBharti’s shirts.
Answer
Number of shirts = 7 Number of buttons on each shirt = 4 7 groups of 4 buttons 7 × 4 = 28 buttons
Count in fours, one shirt at a time.
4, 8, 12, 16, 20, 24, 28.
Q3C. Rita bought 6 pencils of ₹4 each. How much money will she give to the shopkeeper? Number of pencils = ____ Cost of 1 pencil = ____ Cost of 6 pencils = 4 + 4 + 4 + 4 + 4 + 4 ____ × ____ = ____ So, Rita will give ₹ ____ to the shopkeeper.
Answer
Number of pencils = 6 Cost of 1 pencil = ₹4 6 × 4 = 24 So, Rita will give ₹24 to the shopkeeper.
Each pencil costs ₹4.
Add 4 six times: 4, 8, 12, 16, 20, 24.
Q4D. Five people can sit in a car. How many people can sit in 8 such cars? Number of people sitting in 1 car = ____ Number of people sitting in 8 cars = ____ ____ × ____ = ____ ____ people can sit in 8 cars.
Answer
People in 1 car = 5 People in 8 cars = 40 8 × 5 = 40 40 people can sit in 8 cars.
Making Multiplication Table — Pages 91–92Make a new table by adding two tables. Page 92 also shows the table of 7 from 3 and 4.
Q1Rudra is making multiplication table of 4 using the table of 2.
2
4
6
8
10
12
14
16
18
20
(Table of 2)
+
2
4
6
8
10
12
14
16
18
20
4
8
12
16
20
24
28
32
36
40
(Table of 4)
This is interesting. Let us now make the table of 6 from the table of 3.
3
6
12
21
30
(Table of 3)
+
3
9
18
24
(Table of 3)
6
(Table of 6)
Answer
The table of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Fill both rows with the table of 3: 3, 6, 9 … 30.
Add each column: 3 + 3 = 6, 6 + 6 = 12.
3
6
9
12
15
18
21
24
27
30
(Table of 3)
+
3
6
9
12
15
18
21
24
27
30
(Table of 3)
6
12
18
24
30
36
42
48
54
60
(Table of 6)
Q2Make the table of 8 from the table of 2 and 6.
2
4
10
14
18
20
(Table of 2)
+
6
36
48
(Table of 6)
8
(Table of 8)
Answer
The table of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Fill the table of 2: 2, 4, 6 … 20.
Fill the table of 6: 6, 12, 18 … 60.
Add each column: 2 + 6 = 8, 4 + 12 = 16.
2
4
6
8
10
12
14
16
18
20
(Table of 2)
+
6
12
18
24
30
36
42
48
54
60
(Table of 6)
8
16
24
32
40
48
56
64
72
80
(Table of 8)
Project Work — Page 92Arrays of 24 objects
Q1Collect 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.
Number of groups
Multiplication facts
3 groups of 4
3 × 4
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
______
Shells in an array.
Answer
You can find 8 facts for 24.
Put the 24 buttons in equal rows.
Write rows × one row.
Number of groups
Multiplication facts
3 groups of 4
3 × 4
1 group of 24
1 × 24
2 groups of 12
2 × 12
3 groups of 8
3 × 8
4 groups of 6
4 × 6
6 groups of 4
6 × 4
8 groups of 3
8 × 3
12 groups of 2
12 × 2
24 groups of 1
24 × 1
Let us Share — Pages 93–94Two brothers share gulab jamuns
Q1A. How many gulab jamuns were there in total?Two brothers and a plate of gulab jamuns. They share them 1 by 1.
Answer
8gulab jamuns
Look at the big plate at the start.
Count them one by one: 8.
Q2B. Have they shared equally? Yes/NoTwo brothers and a plate of gulab jamuns. They share them 1 by 1.
Answer
Yes.
They shared 1 by 1.
Each boy got 4 gulab jamuns.
Q3C. How many gulab jamuns did each of them get?Two brothers and a plate of gulab jamuns. They share them 1 by 1.
Answer
4 each
1 for you, 1 for me.
Then 2, then 3, then 4 each.
Now the big plate is empty.
Let us Do — Page 94Share equally: bindis and laddoos
Q1A. Complete Ritu’s art and craft project by drawing 12 bindis equally on 2 ice cream cones as cherries.A card of 12 bindis and Ritu’s 2 ice cream cones.
Answer
6 bindis on each cone.
Draw 1 bindi on each cone.
Do it again and again.
Stop when all 12 are used.
6 bindis on each cone.
Q2B. Pooja has 2 plates. Each plate has a different number of laddoos in it. Help her divide the laddoos equally in 3 plates. You can draw and colour the laddoos.Pooja’s 2 plates of laddoos and 3 empty plates.
Answer
4 laddoos in each plate.
Count all the laddoos: 7 + 5 = 12.
Put 1 in each new plate, again and again.
Each plate gets 4.
4 laddoos in each plate.
How Many Groups? — Page 95Garima makes bracelets
Q1Hi, I am Garima. I have 20 star shaped beads and I will use 5 beads to make each bracelet. I have made 2 bracelets. Now, 10 beads are left. Let us see how many more can we make.2 bracelets are made. 10 beads are left.
Answer
2 more bracelets. That is 4 bracelets in all.
Take 5 beads from the 10. 5 are left.
Take 5 more. 0 are left.
That makes 2 more bracelets.
4 bracelets. No beads are left.
Let us Make — Pages 96–97Make equal groups and share equally
Q1A. Each string has 7 beads. How many strings can we make with 21 beads?21 beads, and 1 string of beads.
Answer
3 strings
Make a group of 7 beads. That is 1 string.
Keep making groups of 7: 7, 14, 21.
Count the groups: 3.
3 groups of 7 beads.
Q2B. There are 54 flowers. Join 9 flowers to make 1 bracelet. How many bracelets can we make with 54 flowers?54 flowers, and 1 bracelet of flowers.
Answer
6 bracelets
Circle 9 flowers. That is 1 bracelet.
Keep making groups of 9: 9, 18, 27, 36, 45, 54.
Count the groups: 6.
6 groups of 9 flowers.
Q3C. There are 25 roses. 5 roses can be placed in 1 vase. How many vases are needed for placing 25 roses? ____ vases are needed.25 roses, and 1 vase of roses.
Answer
5 vases are needed.
Put 5 roses in one vase.
Count in fives: 5, 10, 15, 20, 25.
That is 5 vases.
5 groups of 5 roses.
Q4D. There are 27 candles. Put them equally in 3 boxes. How many candles will be in each box? There will be ____ candles in each box.27 candles and 3 boxes.
Answer
There will be 9 candles in each box.
Put 1 candle in each box.
Do it again and again.
Stop when all 27 are used.
9 candles in each box.
Q5E. A tailor puts 6 buttons on one shirt. Here are 30 buttons. The tailor will be able to put 30 buttons on ____ shirts.30 buttons and a shirt.
Answer
The tailor will be able to put 30 buttons on 5 shirts.
Make groups of 6 buttons.
Count: 6, 12, 18, 24, 30.
That is 5 groups.
5 groups of 6 buttons.
Q6F. Share 24 bananas equally among 3 monkeys. Each monkey will get ____ bananas.Bunches of bananas and 3 monkeys.
