Grouping and Sharing NCERT Solutions | Mathematics for Class 2 (Joyful-Mathematics) PDF Download

 Page 1


How did you do it  
Ramya? Can you 
please explain?
2 + 2+ 2+ 2 = 8
  3 + 3 = 6
   4 + 4 + ____
Ok! 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.
8
Grouping and 
Sharing
What are you 
looking at?
I 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.
Discuss the importance of traffic rules with children.
Chapter_08.indd   83 09-06-2023   16:22:48
Reprint 2024-25
Page 2


How did you do it  
Ramya? Can you 
please explain?
2 + 2+ 2+ 2 = 8
  3 + 3 = 6
   4 + 4 + ____
Ok! 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.
8
Grouping and 
Sharing
What are you 
looking at?
I 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.
Discuss the importance of traffic rules with children.
Chapter_08.indd   83 09-06-2023   16:22:48
Reprint 2024-25
84
Number of autorickshaws  
 = 2 
Each auto has 3 wheels.
Total wheels = 3 + 3 = 6
2 times 3 is 6 or 2  
groups of 3 is 6.
2 × 3 = 6
There are 4 bicycles .
Each bicycle has 2 wheels.
Total wheels = 2 + 2 + 2 + 2 = 8
We are adding 2 for 4 times.
So, 4 times 2 is also 8 or 4 groups of 2 give 8.
You know, times can be written as ‘×’.
4 × 2 = 8
Let us do it for cars.
Number of cars  = 
Number of wheels in each car = 
Total wheels = + + + + + + =
 times 4 is 
7 groups of  is 
 ×  = 
Wow! This is 
easy. Let me 
do this for 
autorickshaws 
now.
Let us Do
Let us see
How many fours are 
you adding? ____  
We can write it as 
7 fours are 28.
Chapter_08.indd   84 09-06-2023   16:22:49
Reprint 2024-25
7
4
4 4 4
4 4 4
4 28
7 28
4
28
7
4 28
Page 3


How did you do it  
Ramya? Can you 
please explain?
2 + 2+ 2+ 2 = 8
  3 + 3 = 6
   4 + 4 + ____
Ok! 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.
8
Grouping and 
Sharing
What are you 
looking at?
I 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.
Discuss the importance of traffic rules with children.
Chapter_08.indd   83 09-06-2023   16:22:48
Reprint 2024-25
84
Number of autorickshaws  
 = 2 
Each auto has 3 wheels.
Total wheels = 3 + 3 = 6
2 times 3 is 6 or 2  
groups of 3 is 6.
2 × 3 = 6
There are 4 bicycles .
Each bicycle has 2 wheels.
Total wheels = 2 + 2 + 2 + 2 = 8
We are adding 2 for 4 times.
So, 4 times 2 is also 8 or 4 groups of 2 give 8.
You know, times can be written as ‘×’.
4 × 2 = 8
Let us do it for cars.
Number of cars  = 
Number of wheels in each car = 
Total wheels = + + + + + + =
 times 4 is 
7 groups of  is 
 ×  = 
Wow! This is 
easy. Let me 
do this for 
autorickshaws 
now.
Let us Do
Let us see
How many fours are 
you adding? ____  
We can write it as 
7 fours are 28.
Chapter_08.indd   84 09-06-2023   16:22:49
Reprint 2024-25
7
4
4 4 4
4 4 4
4 28
7 28
4
28
7
4 28
85
Number of butterflies = 
Number of wings in each butterfly = 
Total number of wings =  +  +  = 
or 3 groups of  is 
 times 2 is 6
3 twos are 
 ×  = 
Number of octopuses = 
Number of legs in each octopus = 
Total number of legs =  +  = 
2 groups of  is 
2  times  is 16
2 eights are 
 ×  = 
Number of lines = 
Number of soldiers in each line = 
Total number of soldiers =  +  +  = 
 times  is 40
4 tens are 
 ×  = 
Let us Do
Chapter_08.indd   85 2/14/2024   11:46:22 AM
Reprint 2024-25
 +
3
2
2 2
2 6
2 6
3
6
3 2 6
2
8
8 8
16
8 16
8
16
2
8 16
4
10
10
10 10
10
40
10
4
40
10 4
40
Page 4


How did you do it  
Ramya? Can you 
please explain?
2 + 2+ 2+ 2 = 8
  3 + 3 = 6
   4 + 4 + ____
Ok! 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.
8
Grouping and 
Sharing
What are you 
looking at?
I 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.
Discuss the importance of traffic rules with children.
Chapter_08.indd   83 09-06-2023   16:22:48
Reprint 2024-25
84
Number of autorickshaws  
 = 2 
Each auto has 3 wheels.
Total wheels = 3 + 3 = 6
2 times 3 is 6 or 2  
groups of 3 is 6.
2 × 3 = 6
There are 4 bicycles .
Each bicycle has 2 wheels.
Total wheels = 2 + 2 + 2 + 2 = 8
We are adding 2 for 4 times.
So, 4 times 2 is also 8 or 4 groups of 2 give 8.
You know, times can be written as ‘×’.
4 × 2 = 8
Let us do it for cars.
Number of cars  = 
Number of wheels in each car = 
Total wheels = + + + + + + =
 times 4 is 
7 groups of  is 
 ×  = 
Wow! This is 
easy. Let me 
do this for 
autorickshaws 
now.
Let us Do
Let us see
How many fours are 
you adding? ____  
We can write it as 
7 fours are 28.
Chapter_08.indd   84 09-06-2023   16:22:49
Reprint 2024-25
7
4
4 4 4
4 4 4
4 28
7 28
4
28
7
4 28
85
Number of butterflies = 
Number of wings in each butterfly = 
Total number of wings =  +  +  = 
or 3 groups of  is 
 times 2 is 6
3 twos are 
 ×  = 
Number of octopuses = 
Number of legs in each octopus = 
Total number of legs =  +  = 
2 groups of  is 
2  times  is 16
2 eights are 
 ×  = 
Number of lines = 
Number of soldiers in each line = 
Total number of soldiers =  +  +  = 
 times  is 40
4 tens are 
 ×  = 
Let us Do
Chapter_08.indd   85 2/14/2024   11:46:22 AM
Reprint 2024-25
 +
3
2
2 2
2 6
2 6
3
6
3 2 6
2
8
8 8
16
8 16
8
16
2
8 16
4
10
10
10 10
10
40
10
4
40
10 4
40
86
Match 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
3 + 3 + 3 + 3 4 times 3
4 × 3 = 12
Stars
5 + 5 + 5 ______________
____________
Fingers
______________ 6 times 3 ______________
Bananas
______________ ______________
4 × 4 = 16
Oranges
______________
______________
______________
______________
2 × 5 = 10 
Pencils
3 × 5 = 15
Balls
Complete the Table
Chapter_08.indd   86 09-06-2023   16:22:51
Reprint 2024-25
5 times 3 5 x 3 = 15
3+3+3+3+3+3 6  x 3 = 18
4+4+4+4 4 times 4
5 times 2
5 times 3
5 + 5
5 + 5 + 5
Page 5


How did you do it  
Ramya? Can you 
please explain?
2 + 2+ 2+ 2 = 8
  3 + 3 = 6
   4 + 4 + ____
Ok! 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.
8
Grouping and 
Sharing
What are you 
looking at?
I 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.
Discuss the importance of traffic rules with children.
Chapter_08.indd   83 09-06-2023   16:22:48
Reprint 2024-25
84
Number of autorickshaws  
 = 2 
Each auto has 3 wheels.
Total wheels = 3 + 3 = 6
2 times 3 is 6 or 2  
groups of 3 is 6.
2 × 3 = 6
There are 4 bicycles .
Each bicycle has 2 wheels.
Total wheels = 2 + 2 + 2 + 2 = 8
We are adding 2 for 4 times.
So, 4 times 2 is also 8 or 4 groups of 2 give 8.
You know, times can be written as ‘×’.
4 × 2 = 8
Let us do it for cars.
Number of cars  = 
Number of wheels in each car = 
Total wheels = + + + + + + =
 times 4 is 
7 groups of  is 
 ×  = 
Wow! This is 
easy. Let me 
do this for 
autorickshaws 
now.
Let us Do
Let us see
How many fours are 
you adding? ____  
We can write it as 
7 fours are 28.
Chapter_08.indd   84 09-06-2023   16:22:49
Reprint 2024-25
7
4
4 4 4
4 4 4
4 28
7 28
4
28
7
4 28
85
Number of butterflies = 
Number of wings in each butterfly = 
Total number of wings =  +  +  = 
or 3 groups of  is 
 times 2 is 6
3 twos are 
 ×  = 
Number of octopuses = 
Number of legs in each octopus = 
Total number of legs =  +  = 
2 groups of  is 
2  times  is 16
2 eights are 
 ×  = 
Number of lines = 
Number of soldiers in each line = 
Total number of soldiers =  +  +  = 
 times  is 40
4 tens are 
 ×  = 
Let us Do
Chapter_08.indd   85 2/14/2024   11:46:22 AM
Reprint 2024-25
 +
3
2
2 2
2 6
2 6
3
6
3 2 6
2
8
8 8
16
8 16
8
16
2
8 16
4
10
10
10 10
10
40
10
4
40
10 4
40
86
Match 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
3 + 3 + 3 + 3 4 times 3
4 × 3 = 12
Stars
5 + 5 + 5 ______________
____________
Fingers
______________ 6 times 3 ______________
Bananas
______________ ______________
4 × 4 = 16
Oranges
______________
______________
______________
______________
2 × 5 = 10 
Pencils
3 × 5 = 15
Balls
Complete the Table
Chapter_08.indd   86 09-06-2023   16:22:51
Reprint 2024-25
5 times 3 5 x 3 = 15
3+3+3+3+3+3 6  x 3 = 18
4+4+4+4 4 times 4
5 times 2
5 times 3
5 + 5
5 + 5 + 5
87
Complete the Table of 2
Complete the Table of 3
2 ones are 2
2 twos are 4
2 threes are 6
2 × 1 = 2
2 × 2 = 4
3 ones are 3
3 twos are 6
3 × 1 = 3
3 × 2 = 6
Chapter_08.indd   87 09-06-2023   16:22:56
Reprint 2024-25
3 × 3 = 9
2 × 3 = 6
3 threes are 9
2 fours are 8
2 fives are 10
2 sixes are 12
2 sevens are 14
2 eight are 16
2 nines are 18
2 tens are 20
2 × 4 = 8
2 × 5 = 10
2 × 6 = 12
2 × 7 = 14
2 × 8 = 16
2 × 9 = 18
2 × 10 = 20
3 fours are 12
3 fives are 15
3 sixes are 18
3 sevens are 21
3 eight are 24
3 nines are 27
3 tens are 30
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30