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NCERT Solutions Class 2 Maths Chapter 3 Fun with Numbers

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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 3: Fun with
Numbers

NCERT Textbook — Joyful Mathematics

BOOK PAGES SECTIONS QUESTIONS MEDIUM

23 – 31 10 67 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 76 pages

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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 3: Fun w t Num rs
l i h e i h be

This chapter is about numbers up to 100. We count on, count back and find patterns.

T E XT B OOK B OOK PAGE S
Joyful Mathematics Class 2 23  31

S EC T I ONS QU E ST I ONS
10 67

M EDI UM
English

n-text Questions — Page 23
I

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Look at the Ginladi · Look at the number strip

Q1 Look at the Ginladi.
A. How many beads are there in ginladi? ______

22

The ginladi: yellow and blue beads on one string. One card says 22.

100 beads

 The beads come in groups of ten.
 Yellow ten, then blue ten, and so on.
 Count the groups: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Why : 10 groups of ten make 100.

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Q2 Look at the Ginladi.
B. There are some blank cards on the ginladi. Write the numbers on them by counting
the number of beads.

22

The ginladi: yellow and blue beads on one string. One card says 22.

The blank cards say 36, 48, 56, 79 and 85.

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36 g l as 22
a

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85 m .
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g l a Each card shows how many beads come before it.
a
 Card 22 hangs after bead 22.
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 Count on in tens, then in ones. Stop caot emach card. g l a
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Q3 Look at the Ginladi.
C. Make number cards for the following numbers and place them on your ginladi.
38, 44, 58, 65, 98

22

The ginladi: yellow and blue beads on one string. One card says 22.

Hang each card after that many beads.
 38 3 tens and 8 more beads.
 44 4 tens and 4. 58 5 tens and 8.
 65 6 tens and 5. 98 9 tens and 8.

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Q4 Look at the number strip and fill in the blanks.
A. The butterfly moves _________ steps forward to reach the pink flower.

49 50 51 52 53 54 55 56 57 58 59 60 61

62 63 64 65 66 67 68 69 70 71 72 73 74

75 76 77 78 79 80 81 82 83 84 85 86 87

88 89 90 91 92 93 94 95 96 97 98 99 100

butterfly honey bee squirrel frog
flowers: pink, red, yellow

The number strip from 49 to 100.

The butterfly moves 6 steps forward to reach the pink flower.
 The butterfly is on 52. The pink flower is on 58.
 Count on: 53, 54, 55, 56, 57, 58. That is 6.

Why Each e f
: st p orwar d is 1 more.

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Q5 Look at the number strip and fill in the blanks.
B. The honey bee moves _________ steps forward to reach the red flower and _________
steps forward to reach the yellow flower.

49 50 51 52 53 54 55 56 57 58 59 60 61

62 63 64 65 66 67 68 69 70 71 72 73 74

75 76 77 78 79 80 81 82 83 84 85 86 87

88 89 90 91 92 93 94 95 96 97 98 99 100

butterfly honey bee squirrel frog
flowers: pink, red, yellow

The number strip from 49 to 100.

The honey bee moves 5 steps to the red flower and 10 steps to the yellow flower.

 Bee on 78, red flower on 83 79, 80, 81, 82, 83.
 Yellow flower on 88. 78 to 88 is 10.

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Q6 Look at the number strip and fill in the blanks.
C. The squirrel jumps 2 steps backward, five steps forward and again 3 steps
backward. It will reach at _________.

49 50 51 52 53 54 55 56 57 58 59 60 61

62 63 64 65 66 67 68 69 70 71 72 73 74

75 76 77 78 79 80 81 82 83 84 85 86 87

88 89 90 91 92 93 94 95 96 97 98 99 100

butterfly honey bee squirrel frog
flowers: pink, red, yellow

The number strip from 49 to 100.

It will reach at 95 .

 Start at 95.
 2 steps back: 94, 93.
 5 steps forward: 94, 95, 96, 97, 98.
 3 steps back: 97, 96, 95.

Why : 2  3  5 st ps e back and 5 steps forward.

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co m
m.
Q7 Look at the number strip and fill in the blanks.

m as
D. The frog jumps 2 steps forward, seven steps backward and again 3 steps backward e
.co a g l
m
to reach _________.

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ag

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49 50 51 52 53 e54
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a
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62 63 64 65 66 67 68 69 70 71 72 73
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88 89 90 a91gl 92 93 94 95 96 97 98 99 100

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em rog
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ag l
The number strip from 49 to 100.
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The frog reaches 60.

com
 Start at 68.
m .
meps back: 69, 68, 67, 66, 65, 64, 63.
 2 steps forward: 69, 70.
as e
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ase  3 steps back: 62, 61, 60.
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Let us Play — Page 24
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Guess my Number · Guess my Place

Q1 Guess my Number
A child thinks of a number and other children have to guess it. Children will ask
questions like, is it more than 50? Are the two digits of the number same? Questions
that can be answered in ‘yes/noʼ. They can ask maximum 10 questions to guess the
number.

Sample game (the number is 30
 Is it more than 50? No.
 Is it more than 20? Yes.
 Is it more than 35? No.
 Does it have 0 as a digit? Yes.
 So it is 30!

Q2 Is it more than 40? Does it have zero as a digit?

30! s it more than 40?
I

Does it have zero
Is it less
as a digit? than 20?

The girl thinks of 30. Her friends ask yes/no questions.

No. Yes.
 The girl thinks of 30.
 30 is less than 40. So, no.
 30 has the digits 3 and 0. So, yes.

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Why : 30 has a 0 in the ones place.

Q3 Is it less than 20?

30! Is it more than 40?
Does it have zero
Is it less
as a digit? than 20?

The girl thinks of 30. Her friends ask yes/no questions.

No.
 The girl thinks of 30.
 20 comes before 30.
 So 30 is more than 20.

Why N : um bers after 20 are more than 20.

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Q4 Guess my Place
Three ants are sitting on a number line. Write the numbers for these ants.
Black ant is sitting on the number ______

20 80
Three ants on a number line from 20 to 80.

The black ant is on 30.

 The marks go 20, 30, 40, 50, 60, 70, 80.
 Count the marks from 20 20, 30. The black ant is on 30.

Q5 Guess my Place
Three ants are sitting on a number line. Write the numbers for these ants.
Red ant is sitting on the number ______

20 80
Three ants on a number line from 20 to 80.

The red ant is on 50.
 The marks go 20, 30, 40, 50, 60, 70, 80.
 Count the marks from 20 20, 30, 40, 50. The red ant is on 50.

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Q6 Guess my Place
Three ants are sitting on a number line. Write the numbers for these ants.
Brown ant is sitting on the number ______

20 80
Three ants on a number line from 20 to 80.

The brown ant is on 60.

 The marks go 20, 30, 40, 50, 60, 70, 80.
 Count the marks from 20 20, 30, 40, 50, 60. The brown ant is on 60.

Q7 Guess my Place
Three ants are sitting on a number line. Write the numbers for these ants.
Draw an ant on number 65 on the number line shown above.

20 80
Three ants on a number line from 20 to 80.

Draw the ant halfway between 60 and 70.

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20 30 40 om
50
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60 70 80
ag
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65 79
a on 65. The sugar cube sits on 79.
The new antgslits
a

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 65 is 5 more than 60.
 65 is 5 less than 70. So it is in the middle.
m as e
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s
Three ants are sitting on a number line. Write the numbers for these ants.
m a
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Draw a sugar cube on number 79 on the number line shown above.
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a Three ants on a number line from 20 to 80.

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Draw the cube just before 80.

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se m 65 79
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aThe new ant sits on 65. The sugar cube sits on 79.

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 79 is 1 less than 80.
 So draw it a little to the left of 80.

n-text Questions — Page 25
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Jumpy the frog · Complete the following patterns

Q1 Look! How Jumpy, the frog is jumping. Do you observe a pattern here?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Jumpy starts at 2 and jumps.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Jumpy starts at 3 and jumps.

Yes.
 Top line: Jumpy jumps 2 at a time: 2, 4, 6 … 20.
 Bottom line: he jumps 3 at a time: 3, 6, 9, 12, 15, 18.

Why E e j: v ry ump on a line is the same size.

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Q2 Complete the following patterns.
A. 1, 4, 7, ,
_______ , ,
_______ _______ _______

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

The frog shows the first jumps.

1, 4, 7, 10, 13, 16, 19

 1 to 4 is 3 jumps.
 4 to 7 is also 3 jumps.
 Keep jumping 3 10, 13, 16, 19.

Why Each
: num ber is 3 more than the one before.

Q3 Complete the following patterns.
B. 40, 45, 50, , ,
_______ _______ _______, _______, _______

40 45 50 55 60 65 70 75
The frog shows the first jumps.

40, 45, 50, 55, 60, 65, 70, 75

 40 to 45 is 5 more.
 Keep jumping 5.
 The ones digit goes 0, 5, 0, 5.

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Why Each: num ber is 5 more than the one before.

Q4 Complete the following patterns.
C. 50, 60, ,
_______ ,
_______ _______

50 60 70 80 90
The frog shows the first jumps.

50, 60, 70, 80, 90

 50 to 60 is 10 more.
 Keep jumping 10.
 Only the tens digit changes.

Why Each: num ber is 10 more than the one before.

Let us o — Page 26
D

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Skip counting on the number chart · Jump and find the answers

Q1 A. On the number chart, use skip counting in two and draw ● on the numbers. Now
use skip counting in five and draw ▲ on the numbers in the number chart.

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. The first marks are drawn for you.

○ on 2, 4, 6, 8 … 100.
△ on 5, 10, 15, 20 … 100.

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21 22 23 24
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31 32 33 34 35 36 37 38 39 40
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43 44 45 46 47 50

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a
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f two △ on skips of five
g l a
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 Twos: skip 1 number each
 Fives: skip 4 numbers each time.
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Q2 B. Write down the numbers that are common to the skips in twos and fives.
___________________________

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. The first marks are drawn for you.

10, 20, 30, 40, 50, 60, 70, 80, 90, 100

 Look for numbers with ○ and △ both.
 They are all in the last column.

Why B h ki la d
: ot s ps n on num bers ending in 0.

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Q3 C. Write down the numbers that are common to the skips in twos, threes and fives.
___________________________

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. The first marks are drawn for you.

30, 60, 90

 Skip in threes: 3, 6, 9 … 30 … 60 … 90.
 Which of these have ○ and △ too?
 Only 30, 60 and 90.

Why The e h ee
: s t r num bers are in all three skips.

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Q4 D. Write down the numbers common to the skips of fives and sevens?
___________________________

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. The first marks are drawn for you.

35, 70

 Skip in sevens: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
 Which of these have △ too?
 Only 35 and 70.

Why O l : n y 35 an d 70 are in both skips.

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Q5 Jump and find the answers. Write ‘Yesʼ or ‘Noʼ.
Make a number line on the ground and jump on it.
A. If you start from 10 and jump counting in tens, will you land on number 100 at any
time?

Yes
 Jump: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Why Te f : ns rom 10 an l d on every number ending in 0.

Q6 Jump and find the answers. Write ‘Yesʼ or ‘Noʼ.
Make a number line on the ground and jump on it.
B. Jump and find out if you start at 5 and count in fives, will you jump on number 40 at
any time?

Yes
 Jump: 5, 10, 15, 20, 25, 30, 35, 40.

Why Fi e la d
: v s n on num bers ending in 5 or 0. 40 ends in 0.

Q7 Jump and find the answers. Write ‘Yesʼ or ‘Noʼ.
Make a number line on the ground and jump on it.
C. If you start from 0 and count in fives, will you jump on number 55 at any time?

Yes
 Jump: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.

Why : 55 ends in 5. So a jump of five lands on it.

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co m
m.
Q8 Jump and find the answers. Write ‘Yesʼ or ‘Noʼ.

m as e
l
Make a number line on the ground and jump on it.

m.co
D. If you start from 4 and count in twos, will you jump on number 17 at any time? a g
l a se
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AaNSW E R

m
No
. co ag
e m
as
 Jump: 4, 6, 8, 10, 12, 14, 16, 18.

a g l
Why Y la d
: ou n on 16, t hen 18. You jump over 17.

co m
se m.
o m g l a
m
Q9 Jump .c and find the answers Write Yes or No a
se Make a number line on the ground and jump on it
. ‘ ʼ ‘ ʼ.

g l a .

a E If you start from and count in threes will you jump on number at any time
. 13 , 24 ?

m a s
.co agl
se m
No
g l a
 Jump: 13, 16, 19, 22, 25. a
Why Y la d co m
hen 25. You jump over 24.
m .
e
: ou n on 22, t

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a n-text Questions — Page 27
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Let us jump backward

Q1 Let us jump backward.
Complete the following patterns.
What comes just before 10?

0 1 2 3 4 5 6 7 8 9 10

The frog jumps back along the line.

9 comes just before 10.

 Find 10 on the line.
 Take one step back.

Why J : ust before means 1 less.

Q2 Let us jump backward.
Complete the following patterns.
What comes just before 9?

0 1 2 3 4 5 6 7 8 9 10

The frog jumps back along the line.

8 comes just before 9.

 Find 9 on the line.

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 Take one step back.

Why i
: 8 s 1 less than 9.

Q3 Let us jump backward.
Complete the following patterns.
10, 9, 8, ___, ___, ___, ___, ___, ___, ___

0 1 2 3 4 5 6 7 8 9 10
The frog jumps back along the line.

10, 9, 8, 7, 6, 5, 4, 3, 2, 1

 Each jump goes 1 back.
 Keep counting back from 8.

Why Each: num ber is 1 less than the one before.

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Q4 Let us jump backward.
Complete the following patterns.
A. 40, 37, 34, ___, ___, ___, ___, ___, ___, ___, ___

5 10 15 20 25 30 35 40
The frog jumps back along the line.

40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10

 40 to 37 is 3 back.
 Keep jumping 3 back.
 From 34 33, 32, 31. Then again.

Why Each: num ber is 3 less than the one before.

Q5 Let us jump backward.
Complete the following patterns.
B. 70, 65, 60, ___, ___, ___, ___, ___, ___

35 40 45 50 55 60 65 70
The frog jumps back along the line.

70, 65, 60, 55, 50, 45, 40, 35, 30

 70 to 65 is 5 back.

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 Keep jumping 5 back.

Why Each: num ber is 5 less than the one before.

Q6 Let us jump backward.
Complete the following patterns.
C. 100, 90, ___, ___, ___

60 70 80 90 100
The frog jumps back along the line.

100, 90, 80, 70, 60

 100 to 90 is 10 back.
 Keep jumping 10 back.

Why Each: num ber is 10 less than the one before.

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co m
m.
Q7 Let us jump backward.

m
Complete the following patterns.
as e
.co a g l
sem
D. 100, 80, ___, ___

a
agl

co m
e m . ag
g l as
40 50 a 60 70 80 90 100

co m
m.
The frog jumps back along the line.

m as e
.co a g l
m
aseE R
agl
A NSW
100, 80, 60, 40

m a s
.co agl
 100 to 80 is 20 back.
 That is two jumps of ten.
se m
g l a
a
 So: 80, 60, 40.

Why Each m
co
number is 20 less than the one before.
.
:

e m
m l as
.co a g
a s e8m Is there a pattern in the given numbers If not change the numbers to create a pattern
gl
Q
a
? , .

Also, extend it.
se m
com a
100, 90, 80, 70, 60, ___, ___, ___

. ag l
m
ase
l
g 80, 70, 60, 50, 40, 30
Yes, there is a pattern. 100,a90,

m
 Each number is 10 less.
. co
m
 So no change is needed.
mp going: 50, 40, 30. as e
.co
 Kee
a g l
se m
g l a Why Taki g a a each time is a pattern.
a
: n w y 10

.c
s e m
m a
Let us Talk — Page 28 ase m . co agl
agl

co m
m .
m ase
.co

a g l Page 29 of 76

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Counting on and counting back

Q1 A. Rizwan is counting numbers from 20 onwards. Will he say the number 19 in his
count? Explain why?

No.
 Rizwan starts at 20.
 He says 21, 22, 23 and on.
 19 comes before 20.

Why C : i g on only goes to bigger numbers.
ount n

Q2 B. Chavi is counting numbers in twos from 10 onwards. Will she say 43? Explain why?

No.
 Chavi says 10, 12, 14 … 40, 42, 44.
 She jumps from 42 to 44.
 43 is left out.

Why T : f
wos rom 10 end in 0, 2, 4, 6 or 8. 43 ends in 3.

Q3 C. Mala is counting backwards from 20. How many steps will it take to reach 0? Explain
why?

20 steps.

 Mala says 19, 18, 17 … 2, 1, 0.
 Each number is one step.
 Count the steps: 20.

Why i
: 0 s 20 on s e away from 20.

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Q4 D. Viraaj is counting backwards in twos from 20. How many steps will it take to reach
0? Discuss.

10 steps.

 Viraaj says 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.
 Count the numbers he says: 10.

Why Each e g e
: st p o s2 back. 20 has 10 twos.

Let us o — Page 29
D

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Patterns in the number chart · Number window

Q1 Look at the number chart and write down the answers.
______ comes just before 10

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. Some numbers are coloured green.

9 comes just before 10.

 Find 10 on the chart.
 Look at the box on its left.

Why J : ust before means 1 less. 9 is 1 less than 10.

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Q2 Look at the number chart and write down the answers.
______ comes just before 20

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. Some numbers are coloured green.

19 comes just before 20.

 Find 20 on the chart.
 Look at the box on its left.

Why J : ust before means 1 less. 19 is 1 less than 20.

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co m
m.
Q3 Look at the number chart and write down the answers.

m as e
l
______ comes just before 30

m.co a g
l a se
ag
1 2 3 4 5 6 7 8 9 10
com ag
m.
14se 15
a
agl
11 12 13 16 17 18 19 20

com
21 22 23 24 25 26 27 28 29 30

m .
m e
38as 39
.co a l
g
31 32 33 34 35 36 37 40

se m
g l a
a 41 42 43 44 45 46 47 48 49 50

m a s
.co agl
51 52 53 54 55 56 57 58 59 60

a s em
61 62 agl 64
63 65 66 67 68 69 70

71 72 73 74 75 76 77 78
. om
c79 80
se m
m l a
m .co 87ag 88
ase
81 82 83 84 85 86 89 90

agl
m
91 92 93 94 95 96 97 98 99 100

a se
.com ag l
sebemr chart. Some numbers are coloured green.
a
agl
The num

co m
m .
m as e
.co
29 comes just before 30.
a g l
a s em Find on the chart
gl  Look at the box on its left
30 .

a c
.
.

s e m
Why J mis 1 less than 30. a
agl
before means 1 less. o29
c
m.
: ust

as e
a g l

co m
m .
m as e
.co

a g l Page 34 of 76

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Q4 Look at the number chart and write down the answers.
______ comes just before 40

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. Some numbers are coloured green.

39 comes just before 40.

 Find 40 on the chart.
 Look at the box on its left.

Why J : ust before means 1 less. 39 is 1 less than 40.

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Q5 Do you see any pattern? Shade the numbers on the number chart. Does the pattern
continue for other numbers? If yes, write the pattern.
____, ____, ____, ____, ____, ____, ____, ____, ____, ____

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. Some numbers are coloured green.

Yes. 9, 19, 29, 39, 49, 59, 69, 79, 89, 99

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1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The shaded numbers all end in 9.

 9, 19, 29 and 39 are in one column.
 Go down that column. One box down is 10 more.

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Q6 Now, look at the numbers coloured green in the number chart. Write them.
1, 12, 23, ____, ____, ____, ____, ____, ____, ____

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

The number chart. Some numbers are coloured green.

1, 12, 23, 34, 45, 56, 67, 78, 89, 100

 Start at 1.
 Go one box down and one box right.
 Read the green number there. Repeat.

Why O e d: n i
own s 10 mor . On e e right is 1 more.

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co m
m.
Q7 What pattern do you notice? Discuss.

m as e
.co a g l
se m
g l a
a 1 2 3 4 5 6 7 8 9 10

co m 16
11 12 13 14
em .
15 17 18 19 20 ag
g l as
21 22 23 a 24 25 26 27 28 29 30

. com40
31 32 33 34 35 36 37 38
e m
39
m l as
m.co a g
l a se 41 42 43 44 45 46 47 48 49 50

a g
s
51 52 53 54 55 56 57 58 59 60
m a
em
.co agl
a s
gl
61 62 63 64 65 66 67 68 69 70
a
78
com
71 72 73 74 75 76 77 79 80

m .
m e
s 89
a88
.co agl
81 82 83 84 85 86 87 90

se m
g l a
a 91 92 93 94 95 96 97 98 99 100

se m
caortmSome numbers are coloured green g l a
. a
em
The number ch
s
. .

a
agl
m
. co
The green numbers make a slanting line.
em
my go from top left to bottom right.
.cTohe g l as
a
a sem Both digits go up by 1 each time: 12, 23, 34 …
agl c
m .
m a s e
e m . co agl
g l as
a

co m
m .
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.co

a g l Page 39 of 76

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Q8 Lakshanya made a number window and placed it on the number chart as shown
below.
A. If the centre of the window is placed on 28, which number will be on the top of it?
______

1 2 3 4 5 6 7 8 9 10

10
11 12 13 14 15 16 20
less
1 1
21 22 23 24 25 26 28 30
le ss more
10
31 32 33 34 35 36 40
more

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Lakshanyaʼs number window on the chart. Its centre is on 28.

18

 That box says “10 lessˮ.
 10 less than 28 is 18.

Why O e
: n row up s 10i less.

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Q9 Lakshanya made a number window and placed it on the number chart as shown
below.
B. Which number will be below it? ______

1 2 3 4 5 6 7 8 9 10

10
11 12 13 14 15 16 20
less
1 1
21 22 23 24 25 26 28 30
le ss more
10
31 32 33 34 35 36 40
more

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Lakshanyaʼs number window on the chart. Its centre is on 28.

38

 That box says “10 moreˮ.
 10 more than 28 is 38.

Why O e : n row down is 10 more.

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Q10 Lakshanya made a number window and placed it on the number chart as shown
below.
C. Which number will be on its right? ______

1 2 3 4 5 6 7 8 9 10

10
11 12 13 14 15 16 20
less
1 1
21 22 23 24 25 26 28 30
le ss more
10
31 32 33 34 35 36 40
more

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Lakshanyaʼs number window on the chart. Its centre is on 28.

29

 That box says “1 moreˮ.
 1 more than 28 is 29.

Why O e b: n ox r ight is 1 more.

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Q11 Lakshanya made a number window and placed it on the number chart as shown
below.
D. Which number will be on its left? ______

1 2 3 4 5 6 7 8 9 10

10
11 12 13 14 15 16 20
le ss
1 1
21 22 23 24 25 26 28 30
le ss more
10
31 32 33 34 35 36 40
more

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Lakshanyaʼs number window on the chart. Its centre is on 28.

27

 That box says “1 lessˮ.
 1 less than 28 is 27.

Why O e b lef i
: n ox t s1 less.

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co m
m.
n-text Questions — Page 30
e
I

m l as
.co
Number window: more numbers · Fill the missing numbers
a g
a s em
aQg1 l E Let us do it for other numbers
. .

co m
em . ag
g l as
a

co m
e m.
m l as
m .co a g
l a se
a g
m a s
.co agl
a g l a se m
53
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
number window with its centre filled.
com
.
A

e m
m l as
.co
mA NSW E R a g
l a se
ag
c
Top 43, left 52, right 54, bottom 63.
m .
m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co

a g l Page 44 of 76

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43
52 53 54
63
The number window, filled in.

 Top: 10 less. Bottom: 10 more.
 Left: 1 less. Right: 1 more.

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Q2 E. Let us do it for other numbers.

26

A number window with its centre filled.

Top 16, left 25, right 27, bottom 36.

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16
25 26 27
36
The number window, filled in.

 Top: 10 less. Bottom: 10 more.
 Left: 1 less. Right: 1 more.

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Q3 E. Let us do it for other numbers.

74

A number window with its centre filled.

Top 64, left 73, right 75, bottom 84.

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co m
em.
m l as
m.co a g
l a se
a g

g l as
64
e m . co m
ag
a

co m
em.

a g l a se m.co
m
73 74 75
a g l as

m a s
m .co agl
l a se
g

84
a

co m
m .
m ase
.co a g l
se m
g l a
a
se m
com g l a
.
The num
m
ber window, filled in.
a
as e
 Top: 10 less. Bottom: 10 amorgle.
 Left: 1 less. Right: 1 more.
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 49 of 76

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Q4 F. Based on the same number grid fill the missing numbers.

8

Boxes cut from the number chart.

9, 17, 18, 28

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8 9
17 18
28
The missing numbers, filled in.

 Start at the green box: 8.
 Right: 1 more. Left: 1 less.
 Down: 10 more. Up: 10 less.

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Q5 F. Based on the same number grid fill the missing numbers.

57

Boxes cut from the number chart.

48, 49, 58, 59, 68, 69

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48 49
57 58 59
68 69
The missing numbers, filled in.

 Start at the green box: 57.
 Right: 1 more. Left: 1 less.
 Down: 10 more. Up: 10 less.

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co m
m.
Q6 F. Based on the same number grid fill the missing numbers.
m as e
.co a g l
se m
g l a
a

co m
em . ag
g l as
a

co m
e m.
m l as
.co a g

46
se m
g l a
a
m a s
m .co agl
l a se
a g

co m
m .
m as e
.co a g l
se m
g l a
a
se m
ceos m g l a
m .
ox cut from the number chart
a
se
B .

a
agl
m
. co
em
as
36, 45, 47, 55, 56

m l
m .co a g
l a se
ag
.c
s e m
m a
e m . co agl
g l as
a

co m
m .
m ase
.co

a g l Page 54 of 76

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36
45 46 47
55 56
The missing numbers, filled in.

 Start at the green box: 46.
 Right: 1 more. Left: 1 less.
 Down: 10 more. Up: 10 less.

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Q7 F. Based on the same number grid fill the missing numbers.

69

Boxes cut from the number chart.

68, 70, 79, 89

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68 69 70
79
89
The missing numbers, filled in.

 Start at the green box: 69.
 Right: 1 more. Left: 1 less.
 Down: 10 more. Up: 10 less.

Page 57 of 76

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Q8 F. Based on the same number grid fill the missing numbers.

16

Boxes cut from the number chart.

26, 27, 36, 37, 38

Page 58 of 76

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co m
em.
m l as
m.co a g
l a se
a g

16 g l as e m . co m
ag
a

co m
em.

a g l a se m.co
m
26 27 a g l as

m a s
m .co agl
l a se
g

36 37 38
a

co m
m .
m ase
.co a g l
se m
g l a
a
se m
com g l a
.
The miss
m
ing numbers, filled in.
a
as e
agl
 Start at the green box: 16.
 Right: 1 more. Left: 1 less.
co m
 Down: 10 more. Up: 10 less.
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 76

Document Details

Board / OrgNCERT
ExamClass 2
TypeSolution
Pages77
Languageenglish
Updated13 Oct 2026