NCERT Solutions Class 2 Maths Chapter 8 Grouping and Sharing
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NCERT Solutions Class 2 Maths Chapter 8 Grouping and Sharing – Text
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Page 1
F R E E S T U D Y M AT E R I A L F O R E V E R Y S T U D E N T
C L A S S 2 · M AT H S
NCERT Solutions + ×
Chapter 8: Grouping
and Sharing
NCERT Textbook — Joyful Mathematics
BOOK PAGES SECTIONS QUESTIONS MEDIUM
83 – 97 14 50 English
Every question Step by step Exam ready
Activities, in-text questions The working shown, not Written to match how
and all exercises. just the final answer. marks are awarded.
Solutions, notes, sample papers & more at 62 pages
C L A S S 2 · M AT H S
NCERT Solutions + ×
Chapter 8: Grouping
and Sharing
NCERT Textbook — Joyful Mathematics
BOOK PAGES SECTIONS QUESTIONS MEDIUM
83 – 97 14 50 English
Every question Step by step Exam ready
Activities, in-text questions The working shown, not Written to match how
and all exercises. just the final answer. marks are awarded.
Solutions, notes, sample papers & more at 62 pages
Page 2
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
C L A SS 2 · M AT H S · JOY F UL M AT HE M AT IC S
NCERT So ut ons — C apt r 8: Group n an S ar n
l i h e i g d h i g
This chapter is about equal groups and sharing equally. We learn “timesˮ and the sign ×.
T E XT B OOK B OOK PAGE S
Joyful Mathematics Class 2 83 97
S EC T I ONS QU E ST I ONS
14 50
M EDI UM
English
n-text Questions — Page 83
I
Group n an S ar n — w
i g d h i g heels on the ro ad
Q1 Iam counting the wheels of autorickshaws and bicycles by adding the number of their
wheels. But I missed the cars as they had started moving.
22228
336
4 4 ____
The road: cars, autorickshaws and bicycles.
4 4 4 4 4 4 4 28
Count the cars. There are 7.
Page 1 of 62
gl e l i
C L A SS 2 · M AT H S · JOY F UL M AT HE M AT IC S
NCERT So ut ons — C apt r 8: Group n an S ar n
l i h e i g d h i g
This chapter is about equal groups and sharing equally. We learn “timesˮ and the sign ×.
T E XT B OOK B OOK PAGE S
Joyful Mathematics Class 2 83 97
S EC T I ONS QU E ST I ONS
14 50
M EDI UM
English
n-text Questions — Page 83
I
Group n an S ar n — w
i g d h i g heels on the ro ad
Q1 Iam counting the wheels of autorickshaws and bicycles by adding the number of their
wheels. But I missed the cars as they had started moving.
22228
336
4 4 ____
The road: cars, autorickshaws and bicycles.
4 4 4 4 4 4 4 28
Count the cars. There are 7.
Page 1 of 62
Page 3
l h h e i g d h i g A aS m · NCERT So ut ons
Each car has 4 wheels.
Add 4 seven times: 4, 8, 12, 16, 20, 24, 28.
Why Each ca add 4
: r s more wheels .
Q2 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.
How did you do it Ramya? Can you please explain?
The road: cars, autorickshaws and bicycles.
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.
Why Addi g he a e
: n t s m number again is times “ ˮ.
Tip: Talk about traffic rules. Cross the road at the zebra crossing.
Let us o — Page 84
D
Page 2 of 62
Each car has 4 wheels.
Add 4 seven times: 4, 8, 12, 16, 20, 24, 28.
Why Each ca add 4
: r s more wheels .
Q2 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.
How did you do it Ramya? Can you please explain?
The road: cars, autorickshaws and bicycles.
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.
Why Addi g he a e
: n t s m number again is times “ ˮ.
Tip: Talk about traffic rules. Cross the road at the zebra crossing.
Let us o — Page 84
D
Page 2 of 62
Page 4
l h h e i g d h i g A aS m · NCERT So ut ons
Let us do it for cars
Q1 Let us do it for cars.
Number of cars = ____
Number of wheels in each car = ____
The road: cars, autorickshaws and bicycles.
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.
Why Bic cle a d a
: y s n utos are not cars .
Page 3 of 62
Let us do it for cars
Q1 Let us do it for cars.
Number of cars = ____
Number of wheels in each car = ____
The road: cars, autorickshaws and bicycles.
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.
Why Bic cle a d a
: y s n utos are not cars .
Page 3 of 62
Page 5
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 Let us do it for cars.
Total wheels = ___ + ___ + ___ + ___ + ___ + ___ + ___ = ___
m as e
.co a g l
se m
g l a
a
com
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
The road: cars, autorickshaws and bicycles.
m a s
m .co agl
l a se
A NSW E R ag
m
Total wheels = 4 4 4 4 4 4 4 28
. co
e m
as
Write 4 for each car.
Theroem g l
. c are 7 cars. So write 4 seven times. a
em
a s Add: 4, 8, 12, 16, 20, 24, 28.
agl
Why Each ca b i g 4 heel . m
se
: r rn s w s
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 4 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 Let us do it for cars.
Total wheels = ___ + ___ + ___ + ___ + ___ + ___ + ___ = ___
m as e
.co a g l
se m
g l a
a
com
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
The road: cars, autorickshaws and bicycles.
m a s
m .co agl
l a se
A NSW E R ag
m
Total wheels = 4 4 4 4 4 4 4 28
. co
e m
as
Write 4 for each car.
Theroem g l
. c are 7 cars. So write 4 seven times. a
em
a s Add: 4, 8, 12, 16, 20, 24, 28.
agl
Why Each ca b i g 4 heel . m
se
: r rn s w s
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 4 of 62
Page 6
l h h e i g d h i g A aS m · NCERT So ut ons
Q3 Let us do it for cars.
____ times 4 is ____
7 groups of ____ is ____
____ × ____ = ____
The road: cars, autorickshaws and bicycles.
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 ×.
Why 7 g : roups of 4 wheels make 28 wheels.
Page 5 of 62
Q3 Let us do it for cars.
____ times 4 is ____
7 groups of ____ is ____
____ × ____ = ____
The road: cars, autorickshaws and bicycles.
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 ×.
Why 7 g : roups of 4 wheels make 28 wheels.
Page 5 of 62
Page 7
l h h e i g d h i g A aS m · NCERT So ut ons
Q4 How many fours are you adding ? ____
We can write it as 7 fours are 28.
The road: cars, autorickshaws and bicycles.
7 fours
Look at the sum: 4 4 4 4 4 4 4.
Count the 4s. There are 7.
Why The e i
: r s one 4 for each car.
Let us o — Page 85
D
Page 6 of 62
Q4 How many fours are you adding ? ____
We can write it as 7 fours are 28.
The road: cars, autorickshaws and bicycles.
7 fours
Look at the sum: 4 4 4 4 4 4 4.
Count the 4s. There are 7.
Why The e i
: r s one 4 for each car.
Let us o — Page 85
D
Page 6 of 62
Page 8
l h h e i g d h i g A aS m · NCERT So ut ons
Butt r
e flies , octopuses and soldiers
Q1 Number of butterflies = ____
Number of wings in each butterfly = ____
Total number of wings = ___ + ___ + ___ = ___
The butterflies.
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.
Why Each b e fl b i g 2 i g .
: utt r y rn s wn s
A out t
b he b ook: A real butterfly has 4 wings. The book counts 2.
Page 7 of 62
Butt r
e flies , octopuses and soldiers
Q1 Number of butterflies = ____
Number of wings in each butterfly = ____
Total number of wings = ___ + ___ + ___ = ___
The butterflies.
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.
Why Each b e fl b i g 2 i g .
: utt r y rn s wn s
A out t
b he b ook: A real butterfly has 4 wings. The book counts 2.
Page 7 of 62
Page 9
l h h e i g d h i g A aS m · NCERT So ut ons
Q2 or groups of
3 ____ is ____
____times is 2 6
3 twos are ____
____ × ____ = ____
The butterflies.
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.
Why 2 2 2 6.
:
Page 8 of 62
Q2 or groups of
3 ____ is ____
____times is 2 6
3 twos are ____
____ × ____ = ____
The butterflies.
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.
Why 2 2 2 6.
:
Page 8 of 62
Page 10
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q3 Number of octopuses = ____
Number of legs in each octopus = ____
m as e
.co
Total number of legs = ___ + ___ = ___ a g l
se m
g l a
a
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se The octopuses.
a g
m a s
m .co agl
l a se
g
Octopuses = 2
Legs in each = 8 a
Total = 8 8 16
co m
Count the octopuses: 2.
m .
Countm as e
c o the legs on one: 8.
. : 8 8 16. a g l
m
as e Add
a g l
Why Each c 8 legs.
m
o topus brings
se
:
com g l a
m . a
ase
agl
co m
m .
m ase
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 9 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q3 Number of octopuses = ____
Number of legs in each octopus = ____
m as e
.co
Total number of legs = ___ + ___ = ___ a g l
se m
g l a
a
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se The octopuses.
a g
m a s
m .co agl
l a se
g
Octopuses = 2
Legs in each = 8 a
Total = 8 8 16
co m
Count the octopuses: 2.
m .
Countm as e
c o the legs on one: 8.
. : 8 8 16. a g l
m
as e Add
a g l
Why Each c 8 legs.
m
o topus brings
se
:
com g l a
m . a
ase
agl
co m
m .
m ase
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 9 of 62
Page 11
l h h e i g d h i g A aS m · NCERT So ut ons
Q4 2 groups of ____ is ____
2 times ____ is 16
2 eights are ____
____ × ____ = ____
The octopuses.
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.
Why 8 8 16.
:
Page 10 of 62
Q4 2 groups of ____ is ____
2 times ____ is 16
2 eights are ____
____ × ____ = ____
The octopuses.
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.
Why 8 8 16.
:
Page 10 of 62
Page 12
l h h e i g d h i g A aS m · NCERT So ut ons
Q5 Number of lines = ____
Number of soldiers in each line = ____
Total number of soldiers = ___ + ___ + ___ + ___ = ___
Soldiers standing in lines.
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.
Why Each li e i a g
: n s roup of 10.
Page 11 of 62
Q5 Number of lines = ____
Number of soldiers in each line = ____
Total number of soldiers = ___ + ___ + ___ + ___ = ___
Soldiers standing in lines.
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.
Why Each li e i a g
: n s roup of 10.
Page 11 of 62
Page 13
l h h e i g d h i g A aS m · NCERT So ut ons
Q6 ____ times ____ is 40
4 tens are ____
____ × ____ = ____
Soldiers standing in lines.
4 times 10 is 40
4 tens are 40
4 10 40
There are 4 lines of 10.
That is 4 times 10.
Why 4 e: t ns make 40.
C omplete the Table — Page 86
Page 12 of 62
Q6 ____ times ____ is 40
4 tens are ____
____ × ____ = ____
Soldiers standing in lines.
4 times 10 is 40
4 tens are 40
4 10 40
There are 4 lines of 10.
That is 4 times 10.
Why 4 e: t ns make 40.
C omplete the Table — Page 86
Page 12 of 62
Page 14
l h h e i g d h i g A aS m · NCERT So ut ons
.
One row of the table on each card The Stars row is done in the book .
Q1 omplete the Table
C
Hands .
3333 4tm s3
i e 4 3 12 Stars
555 ______ ______ Fingers
3 times 5 · 3 5 15 Fingers
There are 3 hands.
Each hand has 5 fingers.
Add: 5, 10, 15.
555 3 times 5 3 × 5 = 15 Fingers
Why 5 i added 3 i e . S i i 3 i e 5.
: s tm s o t s tm s
Page 13 of 62
.
One row of the table on each card The Stars row is done in the book .
Q1 omplete the Table
C
Hands .
3333 4tm s3
i e 4 3 12 Stars
555 ______ ______ Fingers
3 times 5 · 3 5 15 Fingers
There are 3 hands.
Each hand has 5 fingers.
Add: 5, 10, 15.
555 3 times 5 3 × 5 = 15 Fingers
Why 5 i added 3 i e . S i i 3 i e 5.
: s tm s o t s tm s
Page 13 of 62
Page 15
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 omplete the Table
e
C
com g l as
. a
a s em
ag l
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se Bunches of bananas
g
.
a
a s
com
3333 4tm s3 4 3 12 Stars
agl
i e
6m .
a s e 3 Bananas
agl
______ times ______
co m
m .
3 3 3 3 3 3 · 6 3 18 Bananas
as e
croemare 6 bunches. l
. a g
sem
The
a
agl Add 3 six times: 3, 6, 9, 12, 15, 18.
Each bunch has 3 bananas.
se m
6com 3 g l a
3+3+3+3+3+3
m . 6 × 3 = 18 Bananas
a
ase
times
Why 6 i e 3 ea a3galdded 6 i e .
: tm s m ns tm s
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 omplete the Table
e
C
com g l as
. a
a s em
ag l
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se Bunches of bananas
g
.
a
a s
com
3333 4tm s3 4 3 12 Stars
agl
i e
6m .
a s e 3 Bananas
agl
______ times ______
co m
m .
3 3 3 3 3 3 · 6 3 18 Bananas
as e
croemare 6 bunches. l
. a g
sem
The
a
agl Add 3 six times: 3, 6, 9, 12, 15, 18.
Each bunch has 3 bananas.
se m
6com 3 g l a
3+3+3+3+3+3
m . 6 × 3 = 18 Bananas
a
ase
times
Why 6 i e 3 ea a3galdded 6 i e .
: tm s m ns tm s
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 62
Page 16
l h h e i g d h i g A aS m · NCERT So ut ons
Q3 omplete the Table
C
Boxes of oranges
.
3333 4tm s3
i e 4 3 12 Stars
______ ______ 4 4 16 Oranges
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 Oran ges
Why 4 i added 4 i e .
: s tm s
Page 15 of 62
Q3 omplete the Table
C
Boxes of oranges
.
3333 4tm s3
i e 4 3 12 Stars
______ ______ 4 4 16 Oranges
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 Oran ges
Why 4 i added 4 i e .
: s tm s
Page 15 of 62
Page 17
l h h e i g d h i g A aS m · NCERT So ut ons
Q4 omplete the Table
C
Pencils.
3333 4tm s3
i e 4 3 12 Stars
______ ______ 2 5 10 P n
e cils
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 P n
e cils
Why 2 5 ea 2 g
: m ns roups of 5.
Page 16 of 62
Q4 omplete the Table
C
Pencils.
3333 4tm s3
i e 4 3 12 Stars
______ ______ 2 5 10 P n
e cils
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 P n
e cils
Why 2 5 ea 2 g
: m ns roups of 5.
Page 16 of 62
Page 18
l h h e i g d h i g A aS m · NCERT So ut ons
Q5 omplete the Table
C
Balls .
3333 4tm s3
i e 4 3 12 Stars
______ ______ 3 5 15 Ba s
ll
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 Ba s
ll
Why 3 5 ea 3 g
: m ns roups of 5.
Match the ollowing — Page 86
F
Page 17 of 62
Q5 omplete the Table
C
Balls .
3333 4tm s3
i e 4 3 12 Stars
______ ______ 3 5 15 Ba s
ll
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 Ba s
ll
Why 3 5 ea 3 g
: m ns roups of 5.
Match the ollowing — Page 86
F
Page 17 of 62
Page 19
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Match each sum with its times fact and its answer
Q1 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
9 9 9
9 9 9 3 9 → 27
9 is added 3 times. That is 3 9.
Add: 9 9 18. 18 9 27.
Why Th ee 9
: r s make 27.
Page 18 of 62
gl e l i
Match each sum with its times fact and its answer
Q1 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
9 9 9
9 9 9 3 9 → 27
9 is added 3 times. That is 3 9.
Add: 9 9 18. 18 9 27.
Why Th ee 9
: r s make 27.
Page 18 of 62
Page 20
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 Match the Following
m as e
9 9.co9 a g l
sem
7 fives ar
e 27
a 5 5 5 5 5 5 5
agl 4 groups of 10 35
m
33333 39 40
.co ag
10 10 10 10
a sem 38 14
888 agl 2 s v ns ar
e e e 15
co m 24
m.
77 5tm s3
i e
m ase
.co a g l
a s em
The book has matched 3 3 3 3 3 5 times 3 15.
a gl 5 5 5 5 5 5 5
m a s
.co agl
m35
5 5 5 5 5 5 5 7 fives aree→
s
Count the 5s. There are 7. ag
la
Count in fives: 5, 10, 15, 20, 25, 30, 35.
co m
m .
Why mSe e 5 35.
as e
l
s make
.co
v n
g
:
m a
l a se
ag
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 19 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 Match the Following
m as e
9 9.co9 a g l
sem
7 fives ar
e 27
a 5 5 5 5 5 5 5
agl 4 groups of 10 35
m
33333 39 40
.co ag
10 10 10 10
a sem 38 14
888 agl 2 s v ns ar
e e e 15
co m 24
m.
77 5tm s3
i e
m ase
.co a g l
a s em
The book has matched 3 3 3 3 3 5 times 3 15.
a gl 5 5 5 5 5 5 5
m a s
.co agl
m35
5 5 5 5 5 5 5 7 fives aree→
s
Count the 5s. There are 7. ag
la
Count in fives: 5, 10, 15, 20, 25, 30, 35.
co m
m .
Why mSe e 5 35.
as e
l
s make
.co
v n
g
:
m a
l a se
ag
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 19 of 62
Page 21
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Q3 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
10 10 10 10
10 10 10 10 4 groups of 10 → 40
There are 4 tens.
Count in tens: 10, 20, 30, 40.
Why 4 e : t ns make 40.
Page 20 of 62
gl e l i
Q3 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
10 10 10 10
10 10 10 10 4 groups of 10 → 40
There are 4 tens.
Count in tens: 10, 20, 30, 40.
Why 4 e : t ns make 40.
Page 20 of 62
Page 22
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Q4 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
8 8 8
8 8 8 3 8 → 24
8 is added 3 times. That is 3 8.
Add: 8 8 16. 16 8 24.
Why Th ee 8
: r s make 24.
Page 21 of 62
gl e l i
Q4 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
8 8 8
8 8 8 3 8 → 24
8 is added 3 times. That is 3 8.
Add: 8 8 16. 16 8 24.
Why Th ee 8
: r s make 24.
Page 21 of 62
Page 23
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Q5 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
7 7
7 7 2 sevens are → 14
7 is added 2 times.
7 7 14.
Why T : wo 7s make 14.
C omplete the Table — Pages 87–88
Page 22 of 62
gl e l i
Q5 Match the Following
999 7 fives ar
e 27
5555555 4 groups of 10 35
33333 39 40
10 10 10 10 38 14
888 2 s v ns ar
e e e 15
77 5tm s3
i e 24
The book has matched 3 3 3 3 3 5 times 3 15.
7 7
7 7 2 sevens are → 14
7 is added 2 times.
7 7 14.
Why T : wo 7s make 14.
C omplete the Table — Pages 87–88
Page 22 of 62
Page 24
l h h e i g d h i g A aS m · NCERT So ut ons
Comp t t
le e he Table of 2 · 3 · 5 · 10
of of of
Q1 omplete the Table of
C 2
The picture for the table of 2.
Page 23 of 62
Comp t t
le e he Table of 2 · 3 · 5 · 10
of of of
Q1 omplete the Table of
C 2
The picture for the table of 2.
Page 23 of 62
Page 25
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
2 on s ar 2 e e 212
m as e
.co
2 twos ar 4 224
a g l
m
e
l a se2
g
ar 6 236
a
threes e
m
______ ______
. co ag
e m
as
______ ______
______
a g l ______
co m
m.
______ ______
as e
com g l
______ ______
m . a
ase
agl
______ ______
______ ______
m a s
m .co agl
l a se
The table of 2 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ag
Each row has 2 groups. Each group gets 1 more.
co m
m .
e
So each line is 2 more than the one before.
Rowo4m2 fours are 8. 2 4 8.
c g l as
m . a
a 2 s e
agl
ones ar 2e 212
2 twos ar 4
se m
a
224
com l
e
. ag
m
ase
2t r
h ees ar 6 236
agl
e
2 fours are 8 2×4=8
co m
.
2 fives are 10 2 × 5 = 10
em
m l as
.co g
2 sixes are 12 2 × 6 = 12
em 2 sevens are 14 a
a s
gl
2 × 7 = 14
a c
m .
e
2 eights are 16 2 × 8 = 16
m a s
2 nines are 18
e m . co 2 × 9 = 18
agl
g l as
a
2 tens are 20 2 × 10 = 20
co m
m .
m as e
.co
a g l Page 24 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
2 on s ar 2 e e 212
m as e
.co
2 twos ar 4 224
a g l
m
e
l a se2
g
ar 6 236
a
threes e
m
______ ______
. co ag
e m
as
______ ______
______
a g l ______
co m
m.
______ ______
as e
com g l
______ ______
m . a
ase
agl
______ ______
______ ______
m a s
m .co agl
l a se
The table of 2 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ag
Each row has 2 groups. Each group gets 1 more.
co m
m .
e
So each line is 2 more than the one before.
Rowo4m2 fours are 8. 2 4 8.
c g l as
m . a
a 2 s e
agl
ones ar 2e 212
2 twos ar 4
se m
a
224
com l
e
. ag
m
ase
2t r
h ees ar 6 236
agl
e
2 fours are 8 2×4=8
co m
.
2 fives are 10 2 × 5 = 10
em
m l as
.co g
2 sixes are 12 2 × 6 = 12
em 2 sevens are 14 a
a s
gl
2 × 7 = 14
a c
m .
e
2 eights are 16 2 × 8 = 16
m a s
2 nines are 18
e m . co 2 × 9 = 18
agl
g l as
a
2 tens are 20 2 × 10 = 20
co m
m .
m as e
.co
a g l Page 24 of 62
Page 26
l h h e i g d h i g A aS m · NCERT So ut ons
Why 2 f: ours means 4 4 8.
Page 25 of 62
Why 2 f: ours means 4 4 8.
Page 25 of 62
Page 27
l h h e i g d h i g A aS m · NCERT So ut ons
Q2 omplete the Table of
C 3
The picture for the table of 3.
3 on s ar 3
e e 313
3 twos ar 6 e 326
3t rh ees ar 9e 339
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
The table of 3 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Page 26 of 62
Q2 omplete the Table of
C 3
The picture for the table of 3.
3 on s ar 3
e e 313
3 twos ar 6 e 326
3t rh ees ar 9e 339
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
The table of 3 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Page 26 of 62
Page 28
l h h e i g d h i g A aS m · NCERT So ut ons
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 on s ar 3
e e 313
3 twos ar 6 e 326
3t r
h ees ar 9e 339
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
Why 3 f : ours means 3 groups of 4.
Page 27 of 62
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 on s ar 3
e e 313
3 twos ar 6 e 326
3t r
h ees ar 9e 339
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
Why 3 f : ours means 3 groups of 4.
Page 27 of 62
Page 29
l h h e i g d h i g A aS m · NCERT So ut ons
Q3 omplete the Table of
C 5
The picture for the table of 5.
Page 28 of 62
Q3 omplete the Table of
C 5
The picture for the table of 5.
Page 28 of 62
Page 30
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
5 on s ar 5 e e 515
m as e
.co
5 twos ar 10 5 2 10
a g l
e5m
e
a s
gl
ar 15 5 3 15
a
threes e
m
______ ______
. co ag
e m
as
______ ______
______
a g l ______
co m
m.
______ ______
as e
com g l
______ ______
m . a
ase
agl
______ ______
______ ______
m a s
m .co agl
l a se
The table of 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 ag
Each row has 5 groups. Each group gets 1 more.
co m
m .
e
So each line is 5 more than the one before.
Rowo4m5 fours are 20. 5 4 20.
c g l as
m . a
a 5 s e
agl
ones ar 5e 515
5 twos ar 10
se m
a
5 2 10
com l
e
. ag
m
ase
5t r
h ees ar 15 5 3 15
agl
e
5 fours are 20 5 × 4 = 20
co m
.
5 fives are 25 5 × 5 = 25
em
m l as
.co g
5 sixes are 30 5 × 6 = 30
em 5 sevens are 35 a
a s
gl
5 × 7 = 35
a c
m .
e
5 eights are 40 5 × 8 = 40
m a s
5 nines are 45
e m . co 5 × 9 = 45
agl
g l as
a
5 tens are 50 5 × 10 = 50
com
m .
m as e
.co
a g l Page 29 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
5 on s ar 5 e e 515
m as e
.co
5 twos ar 10 5 2 10
a g l
e5m
e
a s
gl
ar 15 5 3 15
a
threes e
m
______ ______
. co ag
e m
as
______ ______
______
a g l ______
co m
m.
______ ______
as e
com g l
______ ______
m . a
ase
agl
______ ______
______ ______
m a s
m .co agl
l a se
The table of 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 ag
Each row has 5 groups. Each group gets 1 more.
co m
m .
e
So each line is 5 more than the one before.
Rowo4m5 fours are 20. 5 4 20.
c g l as
m . a
a 5 s e
agl
ones ar 5e 515
5 twos ar 10
se m
a
5 2 10
com l
e
. ag
m
ase
5t r
h ees ar 15 5 3 15
agl
e
5 fours are 20 5 × 4 = 20
co m
.
5 fives are 25 5 × 5 = 25
em
m l as
.co g
5 sixes are 30 5 × 6 = 30
em 5 sevens are 35 a
a s
gl
5 × 7 = 35
a c
m .
e
5 eights are 40 5 × 8 = 40
m a s
5 nines are 45
e m . co 5 × 9 = 45
agl
g l as
a
5 tens are 50 5 × 10 = 50
com
m .
m as e
.co
a g l Page 29 of 62
Page 31
l h h e i g d h i g A aS m · NCERT So ut ons
Why 5 f: ours means 5 groups of 4.
Page 30 of 62
Why 5 f: ours means 5 groups of 4.
Page 30 of 62
Page 32
l h h e i g d h i g A aS m · NCERT So ut ons
Q4 omplete the Table of
C 10
The picture for the table of 10.
10 on s ar 10
e e 10 1 10
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
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.
Page 31 of 62
Q4 omplete the Table of
C 10
The picture for the table of 10.
10 on s ar 10
e e 10 1 10
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
______ ______
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.
Page 31 of 62
Page 33
l h h e i g d h i g A aS m · NCERT So ut ons
Row 2 10 twos are 20. 10 2 20.
10 on s ar 10
e e 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
Why 10 : twos means 10 groups of 2.
H ow Many? — Pages 89–90
Page 32 of 62
Row 2 10 twos are 20. 10 2 20.
10 on s ar 10
e e 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
Why 10 : twos means 10 groups of 2.
H ow Many? — Pages 89–90
Page 32 of 62
Page 34
l h h e i g d h i g A aS m · NCERT So ut ons
ʼ ʼ ,
Ram s and Gopal s flowers gulab jamuns and a flower cloth
Q1 There 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 Gopal
Ramʼs bouquets and Gopalʼs bouquets.
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.
Why T : urn the groups around . The total stays the same.
Page 33 of 62
ʼ ʼ ,
Ram s and Gopal s flowers gulab jamuns and a flower cloth
Q1 There 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 Gopal
Ramʼs bouquets and Gopalʼs bouquets.
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.
Why T : urn the groups around . The total stays the same.
Page 33 of 62
Page 35
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 groups of 5
e
4
___ times 5 is ____
com g l as
. a
emre are
aTshe
4 5 _____
agl
____ gulab jamuns.
co m
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
ag
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co i ab a g l
m
ase
Gulab jamuns n ox.
agl c
m .
m a s e
co agl
m .
se
4 times 5 is 20
4 5 20
g l a
There are 20 gulab jama
uns.
co m
m .
m ase
.co
a g l Page 34 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q2 groups of 5
e
4
___ times 5 is ____
com g l as
. a
emre are
aTshe
4 5 _____
agl
____ gulab jamuns.
co m
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
ag
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co i ab a g l
m
ase
Gulab jamuns n ox.
agl c
m .
m a s e
co agl
m .
se
4 times 5 is 20
4 5 20
g l a
There are 20 gulab jama
uns.
co m
m .
m ase
.co
a g l Page 34 of 62
Page 36
l h h e i g d h i g A aS m · NCERT So ut ons
There are 4 columns.
Each column has 5.
Count in fives: 5, 10, 15, 20.
Why 4 g : roups of 5 make 20.
Q3 5 groups of 4
___ times 4 is ____
5 4 ______
There are ____ gulab jamuns.
Gulab jamuns in a box .
5 times 4 is 20
5 4 20
There are 20 gulab jamuns.
There are 5 columns.
Page 35 of 62
There are 4 columns.
Each column has 5.
Count in fives: 5, 10, 15, 20.
Why 4 g : roups of 5 make 20.
Q3 5 groups of 4
___ times 4 is ____
5 4 ______
There are ____ gulab jamuns.
Gulab jamuns in a box .
5 times 4 is 20
5 4 20
There are 20 gulab jamuns.
There are 5 columns.
Page 35 of 62
Page 37
l h h e i g d h i g A aS m · NCERT So ut ons
Each column has 4.
Count in fours: 4, 8, 12, 16, 20.
Why 5 4 a d 4 5 a e b h 20.
: n r ot
Q4 6 groups of 4
___ times 4 is ____
6 4 ______
There are ______ flowers.
Flowers on a cloth
.
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.
Page 36 of 62
Each column has 4.
Count in fours: 4, 8, 12, 16, 20.
Why 5 4 a d 4 5 a e b h 20.
: n r ot
Q4 6 groups of 4
___ times 4 is ____
6 4 ______
There are ______ flowers.
Flowers on a cloth
.
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.
Page 36 of 62
Page 38
l h h e i g d h i g A aS m · NCERT So ut ons
Why 6 g: roups of 4 make 24.
Page 37 of 62
Why 6 g: roups of 4 make 24.
Page 37 of 62
Page 39
l h h e i g d h i g A aS m · NCERT So ut ons
Q5 4 groups of 6
__ times 6 is ____
4 6 _____
There are ____ flowers.
Flowers on a cloth
.
Page 38 of 62
Q5 4 groups of 6
__ times 6 is ____
4 6 _____
There are ____ flowers.
Flowers on a cloth
.
Page 38 of 62
Page 40
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
4 times 6 is 24 m ase
4 6 24 .co a g l
m
Thereaasree 24 flowers.
a gl
There are 4 columns.
Each column has 6 flowers.
com
Count in sixes: 6, 12, 18, 24.
e m . ag
g l as
Why 4 6 a d 6 4 a e b h 24.
: n r ot a
co m
e m.
mions — Pages 90–91
n-text Qu.ceost g l as
I
e m a
W as
a g l A D a
ord problems to equ l groups
There are packets of bindis ach packet has bindis
a s
com agl
Q1
.
A. 8 .E 5 .
Number of packets
s etm
= ____
Number of bindis in each packe
l a
bindiasg
= ____
groups of ____ ____ .
bindis
m
____ × ____ = ____
. co
em
m l as
m.co a g
l a se
a g
se m
com g l a
m . a
ase
agl
co m
m .
as e
com l
Packets of bindis.
. a g
m
ase
agl c
m .
m a s e
co agl
Number of packets = 8
m .
e
Number of bindis in each packet = 5
8 groups of 5 bindis.
g l as
8 5 40 bindis
a
co m
m .
m as e
.co
a g l Page 39 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
4 times 6 is 24 m ase
4 6 24 .co a g l
m
Thereaasree 24 flowers.
a gl
There are 4 columns.
Each column has 6 flowers.
com
Count in sixes: 6, 12, 18, 24.
e m . ag
g l as
Why 4 6 a d 6 4 a e b h 24.
: n r ot a
co m
e m.
mions — Pages 90–91
n-text Qu.ceost g l as
I
e m a
W as
a g l A D a
ord problems to equ l groups
There are packets of bindis ach packet has bindis
a s
com agl
Q1
.
A. 8 .E 5 .
Number of packets
s etm
= ____
Number of bindis in each packe
l a
bindiasg
= ____
groups of ____ ____ .
bindis
m
____ × ____ = ____
. co
em
m l as
m.co a g
l a se
a g
se m
com g l a
m . a
ase
agl
co m
m .
as e
com l
Packets of bindis.
. a g
m
ase
agl c
m .
m a s e
co agl
Number of packets = 8
m .
e
Number of bindis in each packet = 5
8 groups of 5 bindis.
g l as
8 5 40 bindis
a
co m
m .
m as e
.co
a g l Page 39 of 62
Page 41
l h h e i g d h i g A aS m · NCERT So ut ons
Count in fives, one packet at a time.
5, 10, 15, 20, 25, 30, 35, 40.
Why Each acke i a g
: p t s roup of 5.
Q2 B. 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
____ × ____ = ____ buttons
Bharti s shirts
ʼ .
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.
Why Each hi i a g
: s rt s roup of 4 buttons.
Tip: This is just like 7 cars with 4 wheels!
Page 40 of 62
Count in fives, one packet at a time.
5, 10, 15, 20, 25, 30, 35, 40.
Why Each acke i a g
: p t s roup of 5.
Q2 B. 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
____ × ____ = ____ buttons
Bharti s shirts
ʼ .
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.
Why Each hi i a g
: s rt s roup of 4 buttons.
Tip: This is just like 7 cars with 4 wheels!
Page 40 of 62
Page 42
l h h e i g d h i g A aS m · NCERT So ut ons
Q3 C.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.
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.
Why 6 e cil a e 6 g
: p n s r roups of ₹4.
Q4 ive people can sit in a car. How many people can sit in 8 such cars?
D. F
Number of people sitting in 1 car = ____
Number of people sitting in 8 cars = ____
____ × ____ = ____
____ people can sit in cars 8 .
People in 1 car = 5
People in 8 cars = 40
8 5 40
40 people can sit in 8 cars.
Count in fives 8 times: 5, 10, 15, 20, 25, 30, 35, 40.
Why 8 g : roups of 5 make 40.
Making Multiplication Table — Pages 91–92
Page 41 of 62
Q3 C.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.
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.
Why 6 e cil a e 6 g
: p n s r roups of ₹4.
Q4 ive people can sit in a car. How many people can sit in 8 such cars?
D. F
Number of people sitting in 1 car = ____
Number of people sitting in 8 cars = ____
____ × ____ = ____
____ people can sit in cars 8 .
People in 1 car = 5
People in 8 cars = 40
8 5 40
40 people can sit in 8 cars.
Count in fives 8 times: 5, 10, 15, 20, 25, 30, 35, 40.
Why 8 g : roups of 5 make 40.
Making Multiplication Table — Pages 91–92
Page 41 of 62
Page 43
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Make a new table by adding two tables Page . 92 a lso shows the t able of 7 from 3 a 4.
nd
Q1 Rudra 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
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 Ta ble of 3
+ 3 6 9 12 15 18 21 24 27 30 Ta ble of 3
6 12 18 24 30 36 42 48 54 60 Ta ble of 6
Why T : wo 3s make one 6.
Page 42 of 62
gl e l i
Make a new table by adding two tables Page . 92 a lso shows the t able of 7 from 3 a 4.
nd
Q1 Rudra 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
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 Ta ble of 3
+ 3 6 9 12 15 18 21 24 27 30 Ta ble of 3
6 12 18 24 30 36 42 48 54 60 Ta ble of 6
Why T : wo 3s make one 6.
Page 42 of 62
Page 44
l h h e i g d h i g A aS m · NCERT So ut ons
gl e l i
Q2 Make 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
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 Ta ble of 2
+ 6 12 18 24 30 36 42 48 54 60 Ta ble of 6
8 16 24 32 40 48 56 64 72 80 Ta ble of 8
Why 2 a d 6 ake 8.
: n m
Project Work — Page 92
Page 43 of 62
gl e l i
Q2 Make 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
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 Ta ble of 2
+ 6 12 18 24 30 36 42 48 54 60 Ta ble of 6
8 16 24 32 40 48 56 64 72 80 Ta ble of 8
Why 2 a d 6 ake 8.
: n m
Project Work — Page 92
Page 43 of 62
Page 45
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
com
Arrays o 24 o
.
f bjects
m a s em
ollec.tco small objects like buttons bottle caps pebbles etc grrlange them in
Q1
m aany of these facts can
24 , , , .A
e
C
rent arrays and write the related multiplication facts ow m
s find Record your answers in the table given below
ayou
diffe
l
.H
a g ? .
m
.co
NUMBER OF GROUPS MULTIPLICATION FACTS
ag
a sem
agl
3 groups of 4 34
______ ______
co m
e m.
______ ______
m l as
m .co a g
se
______ ______
g l a
a
______ ______
m a s
.co agl
______ ______
______
a s em ______
______ ag l ______
co m
.
______ ______
em
m l as
m .co a g
l a se
ag
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 44 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
com
Arrays o 24 o
.
f bjects
m a s em
ollec.tco small objects like buttons bottle caps pebbles etc grrlange them in
Q1
m aany of these facts can
24 , , , .A
e
C
rent arrays and write the related multiplication facts ow m
s find Record your answers in the table given below
ayou
diffe
l
.H
a g ? .
m
.co
NUMBER OF GROUPS MULTIPLICATION FACTS
ag
a sem
agl
3 groups of 4 34
______ ______
co m
e m.
______ ______
m l as
m .co a g
se
______ ______
g l a
a
______ ______
m a s
.co agl
______ ______
______
a s em ______
______ ag l ______
co m
.
______ ______
em
m l as
m .co a g
l a se
ag
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 44 of 62
Page 46
l h h e i g d h i g A aS m · NCERT So ut ons
Shells in an array.
You can find 8 facts for 24.
Put the 24 buttons in equal rows.
Write rows × one row.
Page 45 of 62
Shells in an array.
You can find 8 facts for 24.
Put the 24 buttons in equal rows.
Write rows × one row.
Page 45 of 62
Page 47
l h h e i g d h i g A aS m · NCERT So ut ons
NUMBER OF GROUPS MULTIPLICATION FACTS
3 groups of 4 34
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
Why Each a a i e al g
: rr y s qu roups of the same 24.
A out t
b he b ook: 3 groups of 4 makes only 12. For 24, use 3 groups of 8.
Let us Share — Pages 93–94
Page 46 of 62
NUMBER OF GROUPS MULTIPLICATION FACTS
3 groups of 4 34
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
Why Each a a i e al g
: rr y s qu roups of the same 24.
A out t
b he b ook: 3 groups of 4 makes only 12. For 24, use 3 groups of 8.
Let us Share — Pages 93–94
Page 46 of 62
Page 48
l h h e i g d h i g A aS m · NCERT So ut ons
Two brothers share gulab jamuns
Q1 A. H ow many gulab jamuns were there in total ?
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
8 gulab jamuns
Look at the big plate at the start.
Count them one by one: 8.
Why A he e d each b ha 4. 4 4 8.
: tt n oy s
Page 47 of 62
Two brothers share gulab jamuns
Q1 A. H ow many gulab jamuns were there in total ?
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
8 gulab jamuns
Look at the big plate at the start.
Count them one by one: 8.
Why A he e d each b ha 4. 4 4 8.
: tt n oy s
Page 47 of 62
Page 49
l h h e i g d h i g A aS m · NCERT So ut ons
Q2 B. H ave they shared equally? Yes/No
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
Yes.
They shared 1 by 1.
Each boy got 4 gulab jamuns.
Why E al ea
: qu m ns the same number for each .
Page 48 of 62
Q2 B. H ave they shared equally? Yes/No
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
Yes.
They shared 1 by 1.
Each boy got 4 gulab jamuns.
Why E al ea
: qu m ns the same number for each .
Page 48 of 62
Page 50
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l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q3 ow many gulab jamuns did each of them get
e
C. H ?
com g l as
. a
a sem
agl
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se
g
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
a
m a s
m .co agl
se
g l a
a
4 each
1 for you, 1 for me.
co m
.
Then 2, then 3, then 4 each.
e m
as
Now the big plate is empty.
m l
.co
mhy 8 shared equally by 2 is 4 each. a g
a s eW
gl
:
a
se m
com g l a
Let us Do — Page 94 m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 49 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
Q3 ow many gulab jamuns did each of them get
e
C. H ?
com g l as
. a
a sem
agl
co m
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se
g
Two brothers and a plate of gulab jamuns. They share them 1 by 1.
a
m a s
m .co agl
se
g l a
a
4 each
1 for you, 1 for me.
co m
.
Then 2, then 3, then 4 each.
e m
as
Now the big plate is empty.
m l
.co
mhy 8 shared equally by 2 is 4 each. a g
a s eW
gl
:
a
se m
com g l a
Let us Do — Page 94 m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 49 of 62
Page 51
l h h e i g d h i g A aS m · NCERT So ut ons
:
Share equally bindis and laddoos
Q1 omplete Ritu s art and craft project by drawing
A. C ʼ 12 bindis equally on 2 ice cream
cones as cherries .
A card of 12 bindis and Rituʼs 2 ice cream cones.
6 bindis on each cone.
Draw 1 bindi on each cone.
Do it again and again.
Stop when all 12 are used.
Page 50 of 62
:
Share equally bindis and laddoos
Q1 omplete Ritu s art and craft project by drawing
A. C ʼ 12 bindis equally on 2 ice cream
cones as cherries .
A card of 12 bindis and Rituʼs 2 ice cream cones.
6 bindis on each cone.
Draw 1 bindi on each cone.
Do it again and again.
Stop when all 12 are used.
Page 50 of 62
Page 52
l h h e i g d h i g A aS m · NCERT So ut ons
6 bindis on each cone.
Why 6 a d 6 ake 12. B h c e ge he a e.
: n m ot on s tt s m
Page 51 of 62
6 bindis on each cone.
Why 6 a d 6 ake 12. B h c e ge he a e.
: n m ot on s tt s m
Page 51 of 62
Page 53
l h h e i g d h i g A aS m · NCERT So ut ons
Q2 B.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.
Poojaʼs 2 plates of laddoos and 3 empty plates.
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.
Why 4 4 4 12. All 3 la e a e e al.
: p t s r qu
How Many Groups? — Page 95
Page 52 of 62
Q2 B.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.
Poojaʼs 2 plates of laddoos and 3 empty plates.
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.
Why 4 4 4 12. All 3 la e a e e al.
: p t s r qu
How Many Groups? — Page 95
Page 52 of 62
Page 54
l h h e i g d h i g A aS m · NCERT So ut ons
Gar ma ma
i kes br acelets
Q1 i am Garima. I have 20 star shaped beads and I will use 5 beads to make each
H , I
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.
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.
Why 20 bead
: s make 4 groups of 5.
Let us Make — Pages 96–97
Page 53 of 62
Gar ma ma
i kes br acelets
Q1 i am Garima. I have 20 star shaped beads and I will use 5 beads to make each
H , I
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.
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.
Why 20 bead
: s make 4 groups of 5.
Let us Make — Pages 96–97
Page 53 of 62
Page 55
as e
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
Make equal groups and share equally
co m
em.
m l as
Q1 A. E
m .co
ach string has 7 beads.
a g
l a se How many strings can we make with 21 beads?
a g
co m
em . ag
g l as
a
co m
e m.
as
beads, and 1 string of beads.
m l
21
m .co a g
l a se
g
a A NSW E R
3 strings
om a s
in.gc. agl
sem
Make a group of 7 beads. That is 1 str
a
Keep making groups of 7 7, 14,l21.
Count the groups: 3. ag
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 54 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
Make equal groups and share equally
co m
em.
m l as
Q1 A. E
m .co
ach string has 7 beads.
a g
l a se How many strings can we make with 21 beads?
a g
co m
em . ag
g l as
a
co m
e m.
as
beads, and 1 string of beads.
m l
21
m .co a g
l a se
g
a A NSW E R
3 strings
om a s
in.gc. agl
sem
Make a group of 7 beads. That is 1 str
a
Keep making groups of 7 7, 14,l21.
Count the groups: 3. ag
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 54 of 62
Page 56
l h h e i g d h i g A aS m · NCERT So ut ons
3 groups of 7 beads.
Why Each: string needs 7 beads.
Q2 B.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.
6 bracelets
Circle 9 flowers. That is 1 bracelet.
Keep making groups of 9 9, 18, 27, 36, 45, 54.
Count the groups: 6.
Page 55 of 62
3 groups of 7 beads.
Why Each: string needs 7 beads.
Q2 B.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.
6 bracelets
Circle 9 flowers. That is 1 bracelet.
Keep making groups of 9 9, 18, 27, 36, 45, 54.
Count the groups: 6.
Page 55 of 62
Page 57
l h h e i g d h i g A aS m · NCERT So ut ons
6 groups of 9 flowers.
Why Each b acele
: r t uses 9 flowers.
Page 56 of 62
6 groups of 9 flowers.
Why Each b acele
: r t uses 9 flowers.
Page 56 of 62
Page 58
l h h e i g d h i g A aS m · NCERT So ut ons
Q3 C. 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 ros es, and 1 vase of roses.
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.
Page 57 of 62
Q3 C. 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 ros es, and 1 vase of roses.
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.
Page 57 of 62
Page 59
l h h e i g d h i g A aS m · NCERT So ut ons
Why Each a e h ld 5
: v s o s roses .
Q4 D.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.
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.
Page 58 of 62
Why Each a e h ld 5
: v s o s roses .
Q4 D.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.
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.
Page 58 of 62
Page 60
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l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
candles in each box.
co m
m.
9
as e
Why 9m.c9om9 27. a g l
se
:
l a
ag
tailor puts buttons on one shirt eorm e are buttons
. c ag
Q5 E. A 6 .H 30 .
The tailor will be able to put m on shirts
buttons
s e
a
30 .
agl
____
co m
e m.
m l as
m .co a g
l a se
a g
m a s
.co
m b agl
l a se
g
and a shirt.
a
30 uttons
co m
m .
e
m l as
.co
The tailor will be able to put 30 buttons on 5 shirts.
m a g
a e Make groups of 6 buttons.
s
agl Count: 6, 12, 18, 24, 30.
That is 5 groups.
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 59 of 62
l h h e i g d h i g
a g l A aS m · NCERT So ut ons
gl e l i
candles in each box.
co m
m.
9
as e
Why 9m.c9om9 27. a g l
se
:
l a
ag
tailor puts buttons on one shirt eorm e are buttons
. c ag
Q5 E. A 6 .H 30 .
The tailor will be able to put m on shirts
buttons
s e
a
30 .
agl
____
co m
e m.
m l as
m .co a g
l a se
a g
m a s
.co
m b agl
l a se
g
and a shirt.
a
30 uttons
co m
m .
e
m l as
.co
The tailor will be able to put 30 buttons on 5 shirts.
m a g
a e Make groups of 6 buttons.
s
agl Count: 6, 12, 18, 24, 30.
That is 5 groups.
se m
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Document Details
| Board / Org | NCERT |
| Exam | Class 2 |
| Type | Solution |
| Pages | 63 |
| Language | english |
| Updated | 13 Oct 2026 |