NCERT Solutions Class 4 Maths Chapter 10 Elephants Tigers and Leopards
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NCERT Solutions Class 4 Maths Chapter 10 Elephants Tigers and Leopards – 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 4 · M AT H S
NCERT Solutions
Chapter 10: Elephants, Tigers,
and Leopards
NCERT Textbook — Math Mela
BOOK PAGES SECTIONS QUESTIONS MEDIUM
149 – 163 11 60 English
Solutions, notes, sample papers & more at 92 pages
C L A S S 4 · M AT H S
NCERT Solutions
Chapter 10: Elephants, Tigers,
and Leopards
NCERT Textbook — Math Mela
BOOK PAGES SECTIONS QUESTIONS MEDIUM
149 – 163 11 60 English
Solutions, notes, sample papers & more at 92 pages
Page 2
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
CLASS 4 · MATHS · MATH MELA
NCERT Solutions — Chapter 10: Elephants, Tigers, and
Leopards
This chapter counts India’s wild animals. We play the NIM game, read an addition chart, and then add and
subtract four-digit numbers using the real numbers of elephants, tigers and leopards in our states.
TEXTBOOK BOOK PAGES
Math Mela (Class 4) 149 – 163
SECTIONS QUESTIONS
11 60
MEDIUM
English
NIM Game (2 Player Game) — Page 149
How to play and who wins
TRY THIS
Q1 Can you win the game if the other player has reached the total of 6 and it is your
turn?
ANSWER
Yes. You can win for sure.
Total now = 6
You add 1 → total 7
Now the other player can only make 8 or 9
From 8 you add 2 → 10
From 9 you add 1 → 10
Either way you reach 10 first, so you win.
Why it happens: 7 is a safe number. From 7 the other player can never touch 10, but
you always can.
Page 1 of 92
CLASS 4 · MATHS · MATH MELA
NCERT Solutions — Chapter 10: Elephants, Tigers, and
Leopards
This chapter counts India’s wild animals. We play the NIM game, read an addition chart, and then add and
subtract four-digit numbers using the real numbers of elephants, tigers and leopards in our states.
TEXTBOOK BOOK PAGES
Math Mela (Class 4) 149 – 163
SECTIONS QUESTIONS
11 60
MEDIUM
English
NIM Game (2 Player Game) — Page 149
How to play and who wins
TRY THIS
Q1 Can you win the game if the other player has reached the total of 6 and it is your
turn?
ANSWER
Yes. You can win for sure.
Total now = 6
You add 1 → total 7
Now the other player can only make 8 or 9
From 8 you add 2 → 10
From 9 you add 1 → 10
Either way you reach 10 first, so you win.
Why it happens: 7 is a safe number. From 7 the other player can never touch 10, but
you always can.
Page 1 of 92
Page 3
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Tip: The safe numbers in this game are 1, 4, 7. Try to say them.
Q2 Can you win the game if the other player has reached the total of 7 and it is your
turn?
ANSWER
No. Here the other player wins.
Total now = 7. You need 3 more, but you may add only 1 or 2.
If you add 1 → total 8, and the other player adds 2 → 10
If you add 2 → total 9, and the other player adds 1 → 10
Whatever you do, the other player reaches 10 first and wins.
Why it happens: 7 is a safe number. It is 3 away from 10, and 3 is too big for one
move, so the player who must move from 7 always loses.
Tip: Try to be the one who says 7. Then you are safe.
Q3 Can you win the game if the other player has reached the total of 8 and it is your
turn?
ANSWER
Yes. You win in one move.
Total now = 8
8 + 2 = 10
You add 2 and reach 10, so you win.
Why it happens: 10 is only 2 away from 8, and 2 is a move you are allowed to make.
Page 2 of 92
Tip: The safe numbers in this game are 1, 4, 7. Try to say them.
Q2 Can you win the game if the other player has reached the total of 7 and it is your
turn?
ANSWER
No. Here the other player wins.
Total now = 7. You need 3 more, but you may add only 1 or 2.
If you add 1 → total 8, and the other player adds 2 → 10
If you add 2 → total 9, and the other player adds 1 → 10
Whatever you do, the other player reaches 10 first and wins.
Why it happens: 7 is a safe number. It is 3 away from 10, and 3 is too big for one
move, so the player who must move from 7 always loses.
Tip: Try to be the one who says 7. Then you are safe.
Q3 Can you win the game if the other player has reached the total of 8 and it is your
turn?
ANSWER
Yes. You win in one move.
Total now = 8
8 + 2 = 10
You add 2 and reach 10, so you win.
Why it happens: 10 is only 2 away from 8, and 2 is a move you are allowed to make.
Page 2 of 92
Page 4
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Check it yourself: From 9 you also win, because 9 + 1 = 10.
Q4 Play the game to reach other target numbers (like 10, 11, or 12) by adding 1 or 2
each time. Can you find a number in each case when you are sure that you can win?
ANSWER
Yes. Count back from the target in threes.
TARGET SAFE NUMBERS TO SAY
10 1, 4, 7
11 2, 5, 8
12 3, 6, 9
If you say a safe number, you will surely win.
Why it happens: Each round the two players together add 1 + 2 = 3, or 2 + 1 = 3. So
the safe numbers go down in steps of 3 from the target.
Try This: For target 12, say 9. Then the other player must make 10 or 11, and you
finish at 12.
Addition Chart — Page 150
Page 3 of 92
Check it yourself: From 9 you also win, because 9 + 1 = 10.
Q4 Play the game to reach other target numbers (like 10, 11, or 12) by adding 1 or 2
each time. Can you find a number in each case when you are sure that you can win?
ANSWER
Yes. Count back from the target in threes.
TARGET SAFE NUMBERS TO SAY
10 1, 4, 7
11 2, 5, 8
12 3, 6, 9
If you say a safe number, you will surely win.
Why it happens: Each round the two players together add 1 + 2 = 3, or 2 + 1 = 3. So
the safe numbers go down in steps of 3 from the target.
Try This: For target 12, say 9. Then the other player must make 10 or 11, and you
finish at 12.
Addition Chart — Page 150
Page 3 of 92
Page 5
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
Reading patterns in the addition table
co m
em.
m as
MATH TALK
.co a g l
a s emat the table given below and discuss how the table is made.
gl
Look
a
Q1
c5o m6
m . ag
se
+ 0 1 2 3 4 7 8 9 10 11 12
l a
0 0 1 2
a3g 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11
co m
12 13
m .
m as e
.co agl
2 2 3 4 5 6 7 8 9 10 11 12 13 14
se m 3
l a
3 4 5 6 7 8 9 10 11 12 13 14 15
ag
4 4 5 6 7 8 9 10 11 12 13 14 15 16
m a s
5 5 6 7
em
8 9
.co 10 11 12 13 14 15 16 17
agl
a s
6 6 7 8
agl9 10 11 12 13 14 15 16 17 18
com
7 7 8 9 10 11 12 13 14 15 16 17 18 19
m . 18
as e
com
8 8 9 10 11 12 13 14 15 16 17 19 20
e m. a17gl 18
las
9 9 10 11 12 13 14 15 16 19 20 21
ag 10 10 11 12 13 14 15 16 17 18 19 20 21 22
se m
com 16 g l a
. a
11 11 12 13 14 15 17 18 19 20 21 22 23
e m
14las 15
12 12 13
a g 16 17 18 19 20 21 22 23 24
m
The addition chart. The pink block of four is the red window frame; the blue block of
. co
m
nine is the blue window frame.
m as e
.co a g l
a s emANSWER
agl
.c
s e m
m a
m . c4o agl
se
+ 0 1 2 3 5 6 7 8 9 10 11 12
l a
0 0 1 a2 g 3 4 5 6 7 8 9 10 11 12
co m
m .
m as e
.co
a g l Page 4 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
Reading patterns in the addition table
co m
em.
m as
MATH TALK
.co a g l
a s emat the table given below and discuss how the table is made.
gl
Look
a
Q1
c5o m6
m . ag
se
+ 0 1 2 3 4 7 8 9 10 11 12
l a
0 0 1 2
a3g 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11
co m
12 13
m .
m as e
.co agl
2 2 3 4 5 6 7 8 9 10 11 12 13 14
se m 3
l a
3 4 5 6 7 8 9 10 11 12 13 14 15
ag
4 4 5 6 7 8 9 10 11 12 13 14 15 16
m a s
5 5 6 7
em
8 9
.co 10 11 12 13 14 15 16 17
agl
a s
6 6 7 8
agl9 10 11 12 13 14 15 16 17 18
com
7 7 8 9 10 11 12 13 14 15 16 17 18 19
m . 18
as e
com
8 8 9 10 11 12 13 14 15 16 17 19 20
e m. a17gl 18
las
9 9 10 11 12 13 14 15 16 19 20 21
ag 10 10 11 12 13 14 15 16 17 18 19 20 21 22
se m
com 16 g l a
. a
11 11 12 13 14 15 17 18 19 20 21 22 23
e m
14las 15
12 12 13
a g 16 17 18 19 20 21 22 23 24
m
The addition chart. The pink block of four is the red window frame; the blue block of
. co
m
nine is the blue window frame.
m as e
.co a g l
a s emANSWER
agl
.c
s e m
m a
m . c4o agl
se
+ 0 1 2 3 5 6 7 8 9 10 11 12
l a
0 0 1 a2 g 3 4 5 6 7 8 9 10 11 12
co m
m .
m as e
.co
a g l Page 4 of 92
Page 6
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Every box is made by adding the row number and the column number.
The box in row 6 and column 5
= 6 + 5 = 11
The pink corner (+) sign tells us that. The blue strip on top gives one number, the pink strip on
the left gives the other.
Why it happens: The chart is a ready-made answer sheet. Instead of adding every
time, we just look where the row and the column meet.
Page 5 of 92
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Every box is made by adding the row number and the column number.
The box in row 6 and column 5
= 6 + 5 = 11
The pink corner (+) sign tells us that. The blue strip on top gives one number, the pink strip on
the left gives the other.
Why it happens: The chart is a ready-made answer sheet. Instead of adding every
time, we just look where the row and the column meet.
Page 5 of 92
Page 7
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q2 Identify some patterns in the table.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
Page 6 of 92
Q2 Identify some patterns in the table.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
Page 6 of 92
Page 8
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Here are four easy patterns.
Move one step right and the number goes up by 1.
Move one step down and the number goes up by 1.
Move one step down and one step left and the number stays the same. So the slanting
lines (↗) carry equal numbers.
The chart is the same on both sides of the main slant, because 6 + 5 and 5 + 6 are equal.
Why it happens: Going right adds 1 to the column number and going down adds 1
to the row number, so the total goes up by 1 each time.
Page 7 of 92
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Here are four easy patterns.
Move one step right and the number goes up by 1.
Move one step down and the number goes up by 1.
Move one step down and one step left and the number stays the same. So the slanting
lines (↗) carry equal numbers.
The chart is the same on both sides of the main slant, because 6 + 5 and 5 + 6 are equal.
Why it happens: Going right adds 1 to the column number and going down adds 1
to the row number, so the total goes up by 1 each time.
Page 7 of 92
Page 9
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q3 Observe the cells where the number 9 appears in the table. How many times do you
see number 9? What about other numbers?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 8 of 92
Q3 Observe the cells where the number 9 appears in the table. How many times do you
see number 9? What about other numbers?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 8 of 92
Page 10
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m 14
m.
2 2 3 4 5 6 7 8 9 10 11 12 13
m4 a13s e 14
3 3
.co
5 6 7 8 9 10 11 12
a g l 15
a s em4
gl
4 5 6 7 8 9 10 11 12 13 14 15 16
a
5 5 6 7 8 9 10 11 12 13 14 15 16 17
. com ag
6 6 7 8 9
se
10
m 12
11 13 14 15 16 17 18
l a
7 7 8 9 10 ag11 12 13 14 15 16 17 18 19
m
.co
8 8 9 10 11 12 13 14 15 16 17 18 19 20
a s e19m
com gl
9 9 10 11 12 13 14 15 16 17 18 20 21
m . a
e
as 10
agl
10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
m a s
12 12 13 14
em
15 16 .c17o 18 19 20 21 22 23 24 agl
a s
aglof four iswindow
The addition chart. The pink block the red window frame; the blue block of nine is the blue
frame.
co m
m .
The number 9 appears 10 times.
m as e
.co a g l
a s e0m+ 9, 1 + 8, 2 + 7, 3 + 6, 4 + 5,
agl
m
5 + 4, 6 + 3, 7 + 2, 8 + 1, 9 + 0
a se
That is 10 boxes, and they lie on one slanting line.
.com a g l
m
ase
Other numbers behave like this: 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 9 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m 14
m.
2 2 3 4 5 6 7 8 9 10 11 12 13
m4 a13s e 14
3 3
.co
5 6 7 8 9 10 11 12
a g l 15
a s em4
gl
4 5 6 7 8 9 10 11 12 13 14 15 16
a
5 5 6 7 8 9 10 11 12 13 14 15 16 17
. com ag
6 6 7 8 9
se
10
m 12
11 13 14 15 16 17 18
l a
7 7 8 9 10 ag11 12 13 14 15 16 17 18 19
m
.co
8 8 9 10 11 12 13 14 15 16 17 18 19 20
a s e19m
com gl
9 9 10 11 12 13 14 15 16 17 18 20 21
m . a
e
as 10
agl
10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
m a s
12 12 13 14
em
15 16 .c17o 18 19 20 21 22 23 24 agl
a s
aglof four iswindow
The addition chart. The pink block the red window frame; the blue block of nine is the blue
frame.
co m
m .
The number 9 appears 10 times.
m as e
.co a g l
a s e0m+ 9, 1 + 8, 2 + 7, 3 + 6, 4 + 5,
agl
m
5 + 4, 6 + 3, 7 + 2, 8 + 1, 9 + 0
a se
That is 10 boxes, and they lie on one slanting line.
.com a g l
m
ase
Other numbers behave like this: 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 9 of 92
Page 11
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
NUMBER HOW MANY TIMES
0 1
5 6
9 10
12 13 (the most)
18 7
24 1
Why it happens: Up to 12, a number appears one more time than itself. After 12 the
count falls again, because the chart stops at 12.
Page 10 of 92
NUMBER HOW MANY TIMES
0 1
5 6
9 10
12 13 (the most)
18 7
24 1
Why it happens: Up to 12, a number appears one more time than itself. After 12 the
count falls again, because the chart stops at 12.
Page 10 of 92
Page 12
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q4 Are there any rows or columns that contain only even numbers or only odd
numbers? Explain your observation.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 11 of 92
Q4 Are there any rows or columns that contain only even numbers or only odd
numbers? Explain your observation.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 11 of 92
Page 13
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
No. There is no such row and no such column.
Row 3 → 3, 4, 5, 6, 7, 8, 9, …
even, odd, even, odd … one after the other
Every row is a line of numbers that go up by 1. So odd and even keep taking turns.
Why it happens: Adding 1 changes an even number into an odd number and an
odd number into an even number, every single time.
Page 12 of 92
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
No. There is no such row and no such column.
Row 3 → 3, 4, 5, 6, 7, 8, 9, …
even, odd, even, odd … one after the other
Every row is a line of numbers that go up by 1. So odd and even keep taking turns.
Why it happens: Adding 1 changes an even number into an odd number and an
odd number into an even number, every single time.
Page 12 of 92
Page 14
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q5 Look at the window frame highlighted in red colour in the table. Find the sum of the
two numbers in each row.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 13 of 92
Q5 Look at the window frame highlighted in red colour in the table. Find the sum of the
two numbers in each row.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 13 of 92
Page 15
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m 14
m.
2 2 3 4 5 6 7 8 9 10 11 12 13
m4 a13s e 14
3 3
.co
5 6 7 8 9 10 11 12
a g l 15
a s em4
gl
4 5 6 7 8 9 10 11 12 13 14 15 16
a
5 5 6 7 8 9 10 11 12 13 14 15 16 17
. com ag
6 6 7 8 9
se
10
m 12
11 13 14 15 16 17 18
l a
7 7 8 9 10 ag11 12 13 14 15 16 17 18 19
m
.co
8 8 9 10 11 12 13 14 15 16 17 18 19 20
a s e19m
com gl
9 9 10 11 12 13 14 15 16 17 18 20 21
m . a
e
as 10
agl
10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
m a s
12 12 13 14
em
15 16 .c17o 18 19 20 21 22 23 24 agl
a s
aglof four iswindow
The addition chart. The pink block the red window frame; the blue block of nine is the blue
frame.
co m
m .
The red window holds four numbers.
m as e
.co a g l
s m 11
e10
gl a
a
m
11 12
a se
.com a g l
m
ase
Row sums:
agl
Top row: 10 + 11 = 21
co m
Bottom row: 11 + 12 = 23
m .
m as e
.co a g l
se m Why it happens: The bottom row is 1 more in each box, so its sum is 2 more than
g l a
a c
.
the top row’s sum.
s e m
m a
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m 14
m.
2 2 3 4 5 6 7 8 9 10 11 12 13
m4 a13s e 14
3 3
.co
5 6 7 8 9 10 11 12
a g l 15
a s em4
gl
4 5 6 7 8 9 10 11 12 13 14 15 16
a
5 5 6 7 8 9 10 11 12 13 14 15 16 17
. com ag
6 6 7 8 9
se
10
m 12
11 13 14 15 16 17 18
l a
7 7 8 9 10 ag11 12 13 14 15 16 17 18 19
m
.co
8 8 9 10 11 12 13 14 15 16 17 18 19 20
a s e19m
com gl
9 9 10 11 12 13 14 15 16 17 18 20 21
m . a
e
as 10
agl
10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
m a s
12 12 13 14
em
15 16 .c17o 18 19 20 21 22 23 24 agl
a s
aglof four iswindow
The addition chart. The pink block the red window frame; the blue block of nine is the blue
frame.
co m
m .
The red window holds four numbers.
m as e
.co a g l
s m 11
e10
gl a
a
m
11 12
a se
.com a g l
m
ase
Row sums:
agl
Top row: 10 + 11 = 21
co m
Bottom row: 11 + 12 = 23
m .
m as e
.co a g l
se m Why it happens: The bottom row is 1 more in each box, so its sum is 2 more than
g l a
a c
.
the top row’s sum.
s e m
m a
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 92
Page 16
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q6 Find the sum of the two numbers in each column. What do you notice?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
Page 15 of 92
Q6 Find the sum of the two numbers in each column. What do you notice?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
Page 15 of 92
Page 17
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Left column: 10 + 11 = 21
Right column: 11 + 12 = 23
They are the same two sums as the rows — 21 and 23.
Why it happens: In this chart 10 + 11 and 11 + 10 give the same answer, so the row
sums and the column sums must match.
Page 16 of 92
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Left column: 10 + 11 = 21
Right column: 11 + 12 = 23
They are the same two sums as the rows — 21 and 23.
Why it happens: In this chart 10 + 11 and 11 + 10 give the same answer, so the row
sums and the column sums must match.
Page 16 of 92
Page 18
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q7 Now, find the sum of the numbers in each of the two diagonals marked by arrows.
What do you notice?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 17 of 92
Q7 Now, find the sum of the numbers in each of the two diagonals marked by arrows.
What do you notice?
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 17 of 92
Page 19
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
One slant: 10 + 12 = 22
Other slant: 11 + 11 = 22
Both slants give the same sum, 22.
Why it happens: One slant takes 1 less and 1 more than the middle number; the
other takes the middle number twice. So both come to the same total.
Page 18 of 92
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
One slant: 10 + 12 = 22
Other slant: 11 + 11 = 22
Both slants give the same sum, 22.
Why it happens: One slant takes 1 less and 1 more than the middle number; the
other takes the middle number twice. So both come to the same total.
Page 18 of 92
Page 20
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Now, put the red window frame in other places and find the sums as above. What
e
Q8
m l as
.co
do you notice?
a g
se m
g l a
a + 0 1 2 3 4 5 6 7 8 9 10 11 12
c5o m6
. ag
0 0 1 2 3 4 7 8 9 10 11 12
s5e m
l a
ag
1 1 2 3 4 6 7 8 9 10 11 12 13
m
2 2 3 4 5 6 7 8 9 10 11 12 13 14
. c o
e m13 14
las
3 3 4 5 6 7 8 9 10 11 12 15
c4o m
m . ag 13
ase
4 5 6 7 8 9 10 11 12 14 15 16
agl 5 5 6 7 8 9 10 11 12 13 14 15 16 17
m a s
.co agl
6 6 7 8 9 10 11 12 13 14 15 16 17 18
m
10se 11
7 7 8 9
gl a 12 13 14 15 16 17 18 19
a
8 8 9 10 11 12 13 14 15 16 17 18 19 20
. c19om 20
m
ase
9 9 10 11 12 13 14 15 16 17 18 21
. com10 a18gl 19
e m 10 11 12 13 14 15 16 17 20 21 22
g l as
a 11 11 12 13 14 15 16 17 18 19 20 21 22 23
se m
12 12 13 14 15
c o
16
m 17 18 19 20 21 22 23 24
g l a
m . a
e
aspink block of four is the red window frame; the blue block of
g l
The addition chart. The
a nine is the blue window frame.
co m
m .
m as e
.co
ANSWER
a g l
sem
g l a
a c
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
m .
m 5 a s e
0 0 1 2 3
m . c4o 6 7 8 9 10 11 12
agl
l a s4e
ag
1 1 2 3 5 6 7 8 9 10 11 12 13
co m
m .
m as e
.co
a g l Page 19 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Now, put the red window frame in other places and find the sums as above. What
e
Q8
m l as
.co
do you notice?
a g
se m
g l a
a + 0 1 2 3 4 5 6 7 8 9 10 11 12
c5o m6
. ag
0 0 1 2 3 4 7 8 9 10 11 12
s5e m
l a
ag
1 1 2 3 4 6 7 8 9 10 11 12 13
m
2 2 3 4 5 6 7 8 9 10 11 12 13 14
. c o
e m13 14
las
3 3 4 5 6 7 8 9 10 11 12 15
c4o m
m . ag 13
ase
4 5 6 7 8 9 10 11 12 14 15 16
agl 5 5 6 7 8 9 10 11 12 13 14 15 16 17
m a s
.co agl
6 6 7 8 9 10 11 12 13 14 15 16 17 18
m
10se 11
7 7 8 9
gl a 12 13 14 15 16 17 18 19
a
8 8 9 10 11 12 13 14 15 16 17 18 19 20
. c19om 20
m
ase
9 9 10 11 12 13 14 15 16 17 18 21
. com10 a18gl 19
e m 10 11 12 13 14 15 16 17 20 21 22
g l as
a 11 11 12 13 14 15 16 17 18 19 20 21 22 23
se m
12 12 13 14 15
c o
16
m 17 18 19 20 21 22 23 24
g l a
m . a
e
aspink block of four is the red window frame; the blue block of
g l
The addition chart. The
a nine is the blue window frame.
co m
m .
m as e
.co
ANSWER
a g l
sem
g l a
a c
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
m .
m 5 a s e
0 0 1 2 3
m . c4o 6 7 8 9 10 11 12
agl
l a s4e
ag
1 1 2 3 5 6 7 8 9 10 11 12 13
co m
m .
m as e
.co
a g l Page 19 of 92
Page 21
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Try the window on rows 2–3 and columns 8–9.
10 11
11 12
Rows: 10 + 11 = 21, 11 + 12 = 23
Columns: 10 + 11 = 21, 11 + 12 = 23
Slants: 10 + 12 = 22, 11 + 11 = 22
Now try rows 7–8 and columns 3–4.
10 11
11 12
Same three answers again: 21, 23 and 22.
Wherever you put the window, the two row sums equal the two column sums, and the two
slant sums are equal.
Page 20 of 92
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
Try the window on rows 2–3 and columns 8–9.
10 11
11 12
Rows: 10 + 11 = 21, 11 + 12 = 23
Columns: 10 + 11 = 21, 11 + 12 = 23
Slants: 10 + 12 = 22, 11 + 11 = 22
Now try rows 7–8 and columns 3–4.
10 11
11 12
Same three answers again: 21, 23 and 22.
Wherever you put the window, the two row sums equal the two column sums, and the two
slant sums are equal.
Page 20 of 92
Page 22
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Why it happens: Every 2 by 2 window has the shape n, n+1 on top and n+1, n+2
below. So the answers always come out in the same way.
Page 21 of 92
Why it happens: Every 2 by 2 window has the shape n, n+1 on top and n+1, n+2
below. So the answers always come out in the same way.
Page 21 of 92
Page 23
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q9 Identify some patterns and relationships among the numbers in the blue window
frame.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 22 of 92
Q9 Identify some patterns and relationships among the numbers in the blue window
frame.
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of
nine is the blue window frame.
ANSWER
+ 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12 13
Page 22 of 92
Page 24
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
The blue window holds nine numbers.
7 8 9
8 9 10
9 10 11
Each row goes up by 1. Each column goes up by 1.
The slant going up to the right is 9, 9, 9 — all the same.
The two opposite corners give equal sums: 7 + 11 = 18 and 9 + 9 = 18.
Add all nine numbers: 7 + 8 + 9 + 8 + 9 + 10 + 9 + 10 + 11 = 81. And 9 × 9 = 81, so the total is
nine times the middle number.
Why it happens: The middle number 9 sits exactly in between. Every number that is
a little less has a partner that is just as much more.
Reverse and Add — Page 151
Page 23 of 92
2 2 3 4 5 6 7 8 9 10 11 12 13 14
3 3 4 5 6 7 8 9 10 11 12 13 14 15
4 4 5 6 7 8 9 10 11 12 13 14 15 16
5 5 6 7 8 9 10 11 12 13 14 15 16 17
6 6 7 8 9 10 11 12 13 14 15 16 17 18
7 7 8 9 10 11 12 13 14 15 16 17 18 19
8 8 9 10 11 12 13 14 15 16 17 18 19 20
9 9 10 11 12 13 14 15 16 17 18 19 20 21
10 10 11 12 13 14 15 16 17 18 19 20 21 22
11 11 12 13 14 15 16 17 18 19 20 21 22 23
12 12 13 14 15 16 17 18 19 20 21 22 23 24
The addition chart. The pink block of four is the red window frame; the blue block of nine is the blue
window frame.
The blue window holds nine numbers.
7 8 9
8 9 10
9 10 11
Each row goes up by 1. Each column goes up by 1.
The slant going up to the right is 9, 9, 9 — all the same.
The two opposite corners give equal sums: 7 + 11 = 18 and 9 + 9 = 18.
Add all nine numbers: 7 + 8 + 9 + 8 + 9 + 10 + 9 + 10 + 11 = 81. And 9 × 9 = 81, so the total is
nine times the middle number.
Why it happens: The middle number 9 sits exactly in between. Every number that is
a little less has a partner that is just as much more.
Reverse and Add — Page 151
Page 23 of 92
Page 25
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
Adding a 2-digit number to its reverse
co m
e m.
m as
TRY THIS
.co a g l
a s ema 2-digit number say, 27. Reverse its digits (72). Add them (99). Repeat for
gl
Take
a
Q1
different 2-digit numbers.
co m
ANSWER
em . ag
Take a number, turn the digits round, and add.
g l as
a
m
NUMBER REVERSE SUM
m .co
e
las
27 72 99
co m
m . ag
ase
13 31 44
agl45 54 99
m a s
.co agl
62 26 88
a s e83m
gl
38 121
70
a 7 77
. com
Why it happens: Each digit gets counted once as a ten and onceem
m a s as a one. So the
. cois always the two digits added, taken 11 times. a gl
m
sum
ase
agl
se m
com
What sums can we get when we add a 2-digit number with its reverse?
g l a
.
Q2
m a
ase
ANSWER
agl
We always get a number from the 11 table.
co m
m .
as e
com l
27 + 72 = 99 = 11 × 9 (2 + 7 = 9)
.13 + 31 = 44 = 11 × 4 (1 + 3 = 4) a g
e m
as
agl 62 + 26 = 88 = 11 × 8 (6 + 2 = 8)
c
m .
m a s e
. co
So the sums are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, … up to 198.
e m agl
g l as
a
com
m .
m ase
.co
a g l Page 24 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
Adding a 2-digit number to its reverse
co m
e m.
m as
TRY THIS
.co a g l
a s ema 2-digit number say, 27. Reverse its digits (72). Add them (99). Repeat for
gl
Take
a
Q1
different 2-digit numbers.
co m
ANSWER
em . ag
Take a number, turn the digits round, and add.
g l as
a
m
NUMBER REVERSE SUM
m .co
e
las
27 72 99
co m
m . ag
ase
13 31 44
agl45 54 99
m a s
.co agl
62 26 88
a s e83m
gl
38 121
70
a 7 77
. com
Why it happens: Each digit gets counted once as a ten and onceem
m a s as a one. So the
. cois always the two digits added, taken 11 times. a gl
m
sum
ase
agl
se m
com
What sums can we get when we add a 2-digit number with its reverse?
g l a
.
Q2
m a
ase
ANSWER
agl
We always get a number from the 11 table.
co m
m .
as e
com l
27 + 72 = 99 = 11 × 9 (2 + 7 = 9)
.13 + 31 = 44 = 11 × 4 (1 + 3 = 4) a g
e m
as
agl 62 + 26 = 88 = 11 × 8 (6 + 2 = 8)
c
m .
m a s e
. co
So the sums are 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, … up to 198.
e m agl
g l as
a
com
m .
m ase
.co
a g l Page 24 of 92
Page 26
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Why it happens: Add the two digits first. Whatever you get, the answer is that many
elevens.
Try This: Guess before you add. For 46, the digits make 4 + 6 = 10, so the sum should
be 110. Check: 46 + 64 = 110.
Q3 List down all numbers which when added to their reverse give i) 55 ii) 88
ANSWER
First find how many elevens the sum is.
55 = 11 × 5 → the two digits must add to 5
88 = 11 × 8 → the two digits must add to 8
i) Sum 55
14, 23, 32, 41, 50
Check: 14 + 41 = 55, 23 + 32 = 55, 50 + 5 = 55.
ii) Sum 88
17, 26, 35, 44, 53, 62, 71, 80
Check: 17 + 71 = 88, 44 + 44 = 88, 80 + 8 = 88.
Why it happens: The sum only depends on the two digits added together, so every
pair of digits that makes 5 works for 55.
Q4 Can we get a 3-digit sum? What is the smallest 3-digit sum that we can get?
ANSWER
Yes, we can. The smallest 3-digit sum is 110.
Page 25 of 92
Why it happens: Add the two digits first. Whatever you get, the answer is that many
elevens.
Try This: Guess before you add. For 46, the digits make 4 + 6 = 10, so the sum should
be 110. Check: 46 + 64 = 110.
Q3 List down all numbers which when added to their reverse give i) 55 ii) 88
ANSWER
First find how many elevens the sum is.
55 = 11 × 5 → the two digits must add to 5
88 = 11 × 8 → the two digits must add to 8
i) Sum 55
14, 23, 32, 41, 50
Check: 14 + 41 = 55, 23 + 32 = 55, 50 + 5 = 55.
ii) Sum 88
17, 26, 35, 44, 53, 62, 71, 80
Check: 17 + 71 = 88, 44 + 44 = 88, 80 + 8 = 88.
Why it happens: The sum only depends on the two digits added together, so every
pair of digits that makes 5 works for 55.
Q4 Can we get a 3-digit sum? What is the smallest 3-digit sum that we can get?
ANSWER
Yes, we can. The smallest 3-digit sum is 110.
Page 25 of 92
Page 27
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Digits add to 9 → 11 × 9 = 99 (still 2 digits)
Digits add to 10 → 11 × 10 = 110 (3 digits)
Example: 19 + 91 = 110
Other numbers that give 110 are 28, 37, 46, 55, 64, 73, 82 and 91.
Why it happens: 99 is the biggest 2-digit answer. The very next answer in the 11
table is 110, so that is the smallest 3-digit sum.
Fill in the Blanks with Appropriate Numbers — Page 151
Number patterns on trees, gates and a number line
Q1 Fill in the blanks with appropriate numbers. a) 2540, 2590, ____, ____, ____, ____
2540 2590
Six trees in a row. Two of them already carry a number.
ANSWER
2540 2590
Six trees in a row. Two of them already carry a number.
First find the jump between the two given numbers.
Page 26 of 92
Digits add to 9 → 11 × 9 = 99 (still 2 digits)
Digits add to 10 → 11 × 10 = 110 (3 digits)
Example: 19 + 91 = 110
Other numbers that give 110 are 28, 37, 46, 55, 64, 73, 82 and 91.
Why it happens: 99 is the biggest 2-digit answer. The very next answer in the 11
table is 110, so that is the smallest 3-digit sum.
Fill in the Blanks with Appropriate Numbers — Page 151
Number patterns on trees, gates and a number line
Q1 Fill in the blanks with appropriate numbers. a) 2540, 2590, ____, ____, ____, ____
2540 2590
Six trees in a row. Two of them already carry a number.
ANSWER
2540 2590
Six trees in a row. Two of them already carry a number.
First find the jump between the two given numbers.
Page 26 of 92
Page 28
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2590 − 2540 = 50
2590 + 50 = 2640
2640 + 50 = 2690
2690 + 50 = 2740
2740 + 50 = 2790
2540 2590 2640 2690 2740 2790
Six trees in a row. Two of them already carry a number.
Why it happens: The tens digit goes up by 5 each time, and 5 tens is 50. So we skip-
count in fifties.
Q2 Fill in the blanks with appropriate numbers. b) 354, 1354, ____, ____, ____, ____, ____
354 1354
Seven gates in a row. Two of them already carry a number.
ANSWER
354 1354
Page 27 of 92
2590 − 2540 = 50
2590 + 50 = 2640
2640 + 50 = 2690
2690 + 50 = 2740
2740 + 50 = 2790
2540 2590 2640 2690 2740 2790
Six trees in a row. Two of them already carry a number.
Why it happens: The tens digit goes up by 5 each time, and 5 tens is 50. So we skip-
count in fifties.
Q2 Fill in the blanks with appropriate numbers. b) 354, 1354, ____, ____, ____, ____, ____
354 1354
Seven gates in a row. Two of them already carry a number.
ANSWER
354 1354
Page 27 of 92
Page 29
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Seven gates in a row. Two of them already carry a number.
Find the jump first.
1354 − 354 = 1000
1354 + 1000 = 2354
2354 + 1000 = 3354
3354 + 1000 = 4354
4354 + 1000 = 5354
5354 + 1000 = 6354
354 1354 2354 3354 4354 5354 6354
Seven gates in a row. Two of them already carry a number.
Why it happens: Only the thousands digit changes — 1, 2, 3, 4, 5, 6. The last three
digits stay 354 all the way.
Page 28 of 92
Seven gates in a row. Two of them already carry a number.
Find the jump first.
1354 − 354 = 1000
1354 + 1000 = 2354
2354 + 1000 = 3354
3354 + 1000 = 4354
4354 + 1000 = 5354
5354 + 1000 = 6354
354 1354 2354 3354 4354 5354 6354
Seven gates in a row. Two of them already carry a number.
Why it happens: Only the thousands digit changes — 1, 2, 3, 4, 5, 6. The last three
digits stay 354 all the way.
Page 28 of 92
Page 30
ase
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Fill in the blanks with appropriate numbers. c) 7645, 7670, ____, ____, 7745, ____, ____,
e
Q3
m l as
.co
____
a g
se m
g l a
a
m
.co ag
7645 7670 7745
a sem
agl
A number line with eight boxes. Three boxes already carry a number.
co m
e m.
m l as
ANSWER
m .co a g
l a se
a g
m a s
.co agl
7645 7670 7745
a s em
agleight boxes. Three boxes already carry a number.
A number line with
co m
Find the jump between the first two boxes.
m .
as e
. co−m7645 = 25 a g l
m
ase
7670
agl 7670 + 25 = 7695
se m
com a
7695 + 25 = 7720
. a g l
m
ase
7720 + 25 = 7745 matches the printed box
7745 + 25 = 7770
agl
7770 + 25 = 7795
co m
m .
e
7795 + 25 = 7820
m l as
m .co a g
l a se
ag
.c
s e m
com a
. agl
7645 7670 7695 7720 7745 7770 7795 7820
se m
l a
agline with eight boxes. Three boxes already carry a number.
A number
co m
m .
m ase
.co
a g l Page 29 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Fill in the blanks with appropriate numbers. c) 7645, 7670, ____, ____, 7745, ____, ____,
e
Q3
m l as
.co
____
a g
se m
g l a
a
m
.co ag
7645 7670 7745
a sem
agl
A number line with eight boxes. Three boxes already carry a number.
co m
e m.
m l as
ANSWER
m .co a g
l a se
a g
m a s
.co agl
7645 7670 7745
a s em
agleight boxes. Three boxes already carry a number.
A number line with
co m
Find the jump between the first two boxes.
m .
as e
. co−m7645 = 25 a g l
m
ase
7670
agl 7670 + 25 = 7695
se m
com a
7695 + 25 = 7720
. a g l
m
ase
7720 + 25 = 7745 matches the printed box
7745 + 25 = 7770
agl
7770 + 25 = 7795
co m
m .
e
7795 + 25 = 7820
m l as
m .co a g
l a se
ag
.c
s e m
com a
. agl
7645 7670 7695 7720 7745 7770 7795 7820
se m
l a
agline with eight boxes. Three boxes already carry a number.
A number
co m
m .
m ase
.co
a g l Page 29 of 92
Page 31
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Why it happens: On a number line the jumps are all of one size. The printed 7745 in
the middle tells us our jump of 25 is right.
How Many Animals? — Page 152
Adding four-digit numbers with carrying
Q1 The population of elephants in Karnataka is 6049 and in Kerala is 3054. How many
total elephants are there in these two states? Estimate the answer.
ANSWER
Estimate first. 6049 is about 6000 and 3054 is about 3000.
6000 + 3000 = about 9000 elephants
Now the exact answer.
6049 + 3054
Ones: 9 + 4 = 13 → 10 O = 1 T, write 3, carry 1 ten
Tens: 4 + 5 + 1 = 10 → 10 T = 1 H, write 0, carry 1 hundred
Hundreds: 0 + 0 + 1 = 1
Thousands: 6 + 3 = 9
= 9103
TH H T O
1 1
6 0 4 9
3 0 5 4
9 1 0 3
The same sum written in the place-value frame.
Page 30 of 92
Why it happens: On a number line the jumps are all of one size. The printed 7745 in
the middle tells us our jump of 25 is right.
How Many Animals? — Page 152
Adding four-digit numbers with carrying
Q1 The population of elephants in Karnataka is 6049 and in Kerala is 3054. How many
total elephants are there in these two states? Estimate the answer.
ANSWER
Estimate first. 6049 is about 6000 and 3054 is about 3000.
6000 + 3000 = about 9000 elephants
Now the exact answer.
6049 + 3054
Ones: 9 + 4 = 13 → 10 O = 1 T, write 3, carry 1 ten
Tens: 4 + 5 + 1 = 10 → 10 T = 1 H, write 0, carry 1 hundred
Hundreds: 0 + 0 + 1 = 1
Thousands: 6 + 3 = 9
= 9103
TH H T O
1 1
6 0 4 9
3 0 5 4
9 1 0 3
The same sum written in the place-value frame.
Page 30 of 92
Page 32
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
There are 9103 elephants in Karnataka and Kerala. Our estimate of 9000 was close.
Why it happens: We can only keep 9 in any one place. When ones reach 10, we
bundle them into one ten and move it left.
Q2 The highest number of leopards are found in three states. Gujarat has 1355,
Karnataka has 1131 and Madhya Pradesh has 1817. How many total leopards are
there in these states? Estimate the answer.
ANSWER
Estimate first. 1355 is about 1400, 1131 is about 1100, 1817 is about 1800.
1400 + 1100 + 1800 = about 4300 leopards
Now the exact answer.
1355 + 1131 + 1817
Ones: 5 + 1 + 7 = 13 → write 3, carry 1 ten
Tens: 5 + 3 + 1 + 1 = 10 → write 0, carry 1 hundred
Hundreds: 3 + 1 + 8 + 1 = 13 → write 3, carry 1 thousand
Thousands: 1 + 1 + 1 + 1 = 4
= 4303
TH H T O
1 1 1
1 3 5 5
1 1 3 1
1 8 1 7
4 3 0 3
The three numbers added in the place-value frame.
Page 31 of 92
There are 9103 elephants in Karnataka and Kerala. Our estimate of 9000 was close.
Why it happens: We can only keep 9 in any one place. When ones reach 10, we
bundle them into one ten and move it left.
Q2 The highest number of leopards are found in three states. Gujarat has 1355,
Karnataka has 1131 and Madhya Pradesh has 1817. How many total leopards are
there in these states? Estimate the answer.
ANSWER
Estimate first. 1355 is about 1400, 1131 is about 1100, 1817 is about 1800.
1400 + 1100 + 1800 = about 4300 leopards
Now the exact answer.
1355 + 1131 + 1817
Ones: 5 + 1 + 7 = 13 → write 3, carry 1 ten
Tens: 5 + 3 + 1 + 1 = 10 → write 0, carry 1 hundred
Hundreds: 3 + 1 + 8 + 1 = 13 → write 3, carry 1 thousand
Thousands: 1 + 1 + 1 + 1 = 4
= 4303
TH H T O
1 1 1
1 3 5 5
1 1 3 1
1 8 1 7
4 3 0 3
The three numbers added in the place-value frame.
Page 31 of 92
Page 33
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
There are 4303 leopards in these three states.
Why it happens: Three numbers can be added in one go. We still carry the same
way — 10 of any place make 1 of the next place.
Q3 Maharashtra has 444 tigers. Madhya Pradesh has 341 more tigers than
Maharashtra. Uttarakhand has 116 tigers more than Maharashtra. a) How many
tigers does Madhya Pradesh have?
H T O
4 4 4
The blank frame printed in the book for part (a).
ANSWER
H T O
4 4 4
The blank frame printed in the book for part (a).
‘More than’ means we add.
Page 32 of 92
There are 4303 leopards in these three states.
Why it happens: Three numbers can be added in one go. We still carry the same
way — 10 of any place make 1 of the next place.
Q3 Maharashtra has 444 tigers. Madhya Pradesh has 341 more tigers than
Maharashtra. Uttarakhand has 116 tigers more than Maharashtra. a) How many
tigers does Madhya Pradesh have?
H T O
4 4 4
The blank frame printed in the book for part (a).
ANSWER
H T O
4 4 4
The blank frame printed in the book for part (a).
‘More than’ means we add.
Page 32 of 92
Page 34
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
444 + 341
Ones: 4 + 1 = 5
Tens: 4 + 4 = 8
Hundreds: 4 + 3 = 7
= 785
H T O
4 4 4
3 4 1
7 8 5
The completed frame for Madhya Pradesh.
Madhya Pradesh has 785 tigers.
Why it happens: Madhya Pradesh has all of Maharashtra’s 444 tigers and 341 tigers
extra, so we put the two amounts together.
Page 33 of 92
444 + 341
Ones: 4 + 1 = 5
Tens: 4 + 4 = 8
Hundreds: 4 + 3 = 7
= 785
H T O
4 4 4
3 4 1
7 8 5
The completed frame for Madhya Pradesh.
Madhya Pradesh has 785 tigers.
Why it happens: Madhya Pradesh has all of Maharashtra’s 444 tigers and 341 tigers
extra, so we put the two amounts together.
Page 33 of 92
Page 35
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
b) How many tigers does Uttarakhand have?
e
Q4
m l as
.co a g
a s emH
a gl T O
4 4 4
com
e m . ag
g l as
a
co m
m.
The blank frame printed in the book for part (b).
m as e
.co a g l
se m
g l a
ANSWER
a
m a s
m.co agl
se
H T O
l
g4 a
4
a 4
co m
m .
m as e
.co a g l
se m
g l a The blank frame printed in the book for part (b).
a
Uttarakhand has 116 more than Maharashtra, so we add again.
se m
com g l a
m . a
444 + 116
gl ase
a
Ones: 4 + 6 = 10 → write 0, carry 1 ten
co m
.
Tens: 4 + 1 + 1 = 6
em
m l as
.co
Hundreds: 4 + 1 = 5
a g
s e m = 560
agla
.c
s e m
m a
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 34 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
b) How many tigers does Uttarakhand have?
e
Q4
m l as
.co a g
a s emH
a gl T O
4 4 4
com
e m . ag
g l as
a
co m
m.
The blank frame printed in the book for part (b).
m as e
.co a g l
se m
g l a
ANSWER
a
m a s
m.co agl
se
H T O
l
g4 a
4
a 4
co m
m .
m as e
.co a g l
se m
g l a The blank frame printed in the book for part (b).
a
Uttarakhand has 116 more than Maharashtra, so we add again.
se m
com g l a
m . a
444 + 116
gl ase
a
Ones: 4 + 6 = 10 → write 0, carry 1 ten
co m
.
Tens: 4 + 1 + 1 = 6
em
m l as
.co
Hundreds: 4 + 1 = 5
a g
s e m = 560
agla
.c
s e m
m a
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 34 of 92
Page 36
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
H T O
1
4 4 4
1 1 6
5 6 0
The completed frame for Uttarakhand.
Uttarakhand has 560 tigers.
Why it happens: The ones made a full ten, so that ten had to move across to the
tens place.
Q5 c) How many tigers does Madhya Pradesh and Uttarakhand have?
TH H T O
The blank four-column frame printed in the book for part (c).
ANSWER
TH H T O
Page 35 of 92
H T O
1
4 4 4
1 1 6
5 6 0
The completed frame for Uttarakhand.
Uttarakhand has 560 tigers.
Why it happens: The ones made a full ten, so that ten had to move across to the
tens place.
Q5 c) How many tigers does Madhya Pradesh and Uttarakhand have?
TH H T O
The blank four-column frame printed in the book for part (c).
ANSWER
TH H T O
Page 35 of 92
Page 37
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
The blank four-column frame printed in the book for part (c).
From parts (a) and (b): Madhya Pradesh 785, Uttarakhand 560.
785 + 560
Ones: 5 + 0 = 5
Tens: 8 + 6 = 14 → write 4, carry 1 hundred
Hundreds: 7 + 5 + 1 = 13 → write 3, carry 1 thousand
Thousands: 1
= 1345
TH H T O
1 1
7 8 5
5 6 0
1 3 4 5
The completed frame for the two states together.
Madhya Pradesh and Uttarakhand have 1345 tigers together.
Why it happens: The hundreds made more than ten hundreds, and 10 H = 1 Th.
That is why a thousands digit appears.
Page 36 of 92
The blank four-column frame printed in the book for part (c).
From parts (a) and (b): Madhya Pradesh 785, Uttarakhand 560.
785 + 560
Ones: 5 + 0 = 5
Tens: 8 + 6 = 14 → write 4, carry 1 hundred
Hundreds: 7 + 5 + 1 = 13 → write 3, carry 1 thousand
Thousands: 1
= 1345
TH H T O
1 1
7 8 5
5 6 0
1 3 4 5
The completed frame for the two states together.
Madhya Pradesh and Uttarakhand have 1345 tigers together.
Why it happens: The hundreds made more than ten hundreds, and 10 H = 1 Th.
That is why a thousands digit appears.
Page 36 of 92
Page 38
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q6 d) How many tigers are there in total across the three states?
TH H T O
The blank four-column frame printed in the book for part (d).
ANSWER
TH H T O
The blank four-column frame printed in the book for part (d).
Add all three states: Maharashtra 444, Madhya Pradesh 785, Uttarakhand 560.
444 + 785 + 560
Ones: 4 + 5 + 0 = 9
Tens: 4 + 8 + 6 = 18 → write 8, carry 1 hundred
Hundreds: 4 + 7 + 5 + 1 = 17 → write 7, carry 1 thousand
Thousands: 1
= 1789
Page 37 of 92
Q6 d) How many tigers are there in total across the three states?
TH H T O
The blank four-column frame printed in the book for part (d).
ANSWER
TH H T O
The blank four-column frame printed in the book for part (d).
Add all three states: Maharashtra 444, Madhya Pradesh 785, Uttarakhand 560.
444 + 785 + 560
Ones: 4 + 5 + 0 = 9
Tens: 4 + 8 + 6 = 18 → write 8, carry 1 hundred
Hundreds: 4 + 7 + 5 + 1 = 17 → write 7, carry 1 thousand
Thousands: 1
= 1789
Page 37 of 92
Page 39
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
TH H T O
1 1
4 4 4
7 8 5
5 6 0
1 7 8 9
The completed frame for all three states.
There are 1789 tigers in the three states together.
Check it yourself: 1345 (from part c) + 444 = 1789. The two ways agree.
More or Less? — Page 155
Finding the smaller number by subtracting
Q1 Assam has 5719 elephants. It has 3965 more elephants than Meghalaya. How many
elephants are there in Meghalaya? Estimate the answer.
ANSWER
Assam: 5719 3965
Assam’s bar is 3965 longer than Meghalaya’s bar.
Estimate first. 5719 is about 5700 and 3965 is about 4000.
5700 − 4000 = about 1700 elephants
Now the exact answer. Assam has more, so we take the extra away.
Page 38 of 92
TH H T O
1 1
4 4 4
7 8 5
5 6 0
1 7 8 9
The completed frame for all three states.
There are 1789 tigers in the three states together.
Check it yourself: 1345 (from part c) + 444 = 1789. The two ways agree.
More or Less? — Page 155
Finding the smaller number by subtracting
Q1 Assam has 5719 elephants. It has 3965 more elephants than Meghalaya. How many
elephants are there in Meghalaya? Estimate the answer.
ANSWER
Assam: 5719 3965
Assam’s bar is 3965 longer than Meghalaya’s bar.
Estimate first. 5719 is about 5700 and 3965 is about 4000.
5700 − 4000 = about 1700 elephants
Now the exact answer. Assam has more, so we take the extra away.
Page 38 of 92
Page 40
ase
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
em.
5719 − 3965
m l as
.co
Ones: 9 − 5 = 4
m a g
l a se
g
Tens: 1 is smaller than 6 → take 1 hundred, 1 H = 10 T
a 11 − 6 = 5
co m
. ag
Hundreds: 6 left, 6 − 9 cannot be done → take 1 thousand, 1 Th = 10 H
e m
16 − 9 = 7
g l as
Thousands: 4 − 3 = 1 a
co m
m.
= 1754
m as e
.co a g l
a s em
a gl TH H T O
m a s
.co agl
4 16 11
se m
l a
5 7 1 9
3 9a g 6 5
co m
.
1 7 5 4
e m
m l as
m .co Regrouping shown in the place-value frame.
a g
l a se
ag There are 1754 elephants in Meghalaya.
se m
complus 3965 makes Assam’s number. So to go g l a
.
Why it happens: Meghalaya’s number
a
back we take 3965 away.
a s em
agl
m
Check it yourself: 1754 + 3965 = 5719.
. co
em
m l as
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 39 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
em.
5719 − 3965
m l as
.co
Ones: 9 − 5 = 4
m a g
l a se
g
Tens: 1 is smaller than 6 → take 1 hundred, 1 H = 10 T
a 11 − 6 = 5
co m
. ag
Hundreds: 6 left, 6 − 9 cannot be done → take 1 thousand, 1 Th = 10 H
e m
16 − 9 = 7
g l as
Thousands: 4 − 3 = 1 a
co m
m.
= 1754
m as e
.co a g l
a s em
a gl TH H T O
m a s
.co agl
4 16 11
se m
l a
5 7 1 9
3 9a g 6 5
co m
.
1 7 5 4
e m
m l as
m .co Regrouping shown in the place-value frame.
a g
l a se
ag There are 1754 elephants in Meghalaya.
se m
complus 3965 makes Assam’s number. So to go g l a
.
Why it happens: Meghalaya’s number
a
back we take 3965 away.
a s em
agl
m
Check it yourself: 1754 + 3965 = 5719.
. co
em
m l as
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 39 of 92
Page 41
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q2 The population of leopards as per the 2022 census was 8820 in the Central India and
the Eastern Ghats. It had increased by 749 in comparison to the number of leopards
in 2018 in the same region. How many leopards were there in 2018? Estimate the
answer.
ANSWER
? 8820
The 2018 number grew by 749 to become 8820 in 2022.
Estimate first. 8820 is about 8800 and 749 is about 700.
8800 − 700 = about 8100 leopards
Now the exact answer. The number grew, so we go back by 749.
8820 − 749
Ones: 0 − 9 cannot be done → take 1 ten, 10 − 9 = 1
Tens: 1 left, 1 − 4 cannot be done → take 1 hundred, 11 − 4 = 7
Hundreds: 7 left, 7 − 7 = 0
Thousands: 8
= 8071
TH H T O
8 7 11 10
8 8 2 0
7 4 9
8 0 7 1
Page 40 of 92
Q2 The population of leopards as per the 2022 census was 8820 in the Central India and
the Eastern Ghats. It had increased by 749 in comparison to the number of leopards
in 2018 in the same region. How many leopards were there in 2018? Estimate the
answer.
ANSWER
? 8820
The 2018 number grew by 749 to become 8820 in 2022.
Estimate first. 8820 is about 8800 and 749 is about 700.
8800 − 700 = about 8100 leopards
Now the exact answer. The number grew, so we go back by 749.
8820 − 749
Ones: 0 − 9 cannot be done → take 1 ten, 10 − 9 = 1
Tens: 1 left, 1 − 4 cannot be done → take 1 hundred, 11 − 4 = 7
Hundreds: 7 left, 7 − 7 = 0
Thousands: 8
= 8071
TH H T O
8 7 11 10
8 8 2 0
7 4 9
8 0 7 1
Page 40 of 92
Page 42
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Regrouping shown in the place-value frame.
8071 leopards were there in 2018.
Why it happens: 749 leopards were added between 2018 and 2022, so taking 749
off 8820 brings us back to 2018.
Check it yourself: 8071 + 749 = 8820.
In-text Questions — Page 156
Page 41 of 92
Regrouping shown in the place-value frame.
8071 leopards were there in 2018.
Why it happens: 749 leopards were added between 2018 and 2022, so taking 749
off 8820 brings us back to 2018.
Check it yourself: 8071 + 749 = 8820.
In-text Questions — Page 156
Page 41 of 92
Page 43
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Writing the animal numbers on the map of India
Q1 Write the number of animals on this map based on the data from the problems in
the previous pages.
No. of Tigers in these Tigers: ______
states: ______
Elephants: 5719
Uttarakhand
Elephants: ______
Meghalaya Assam
Tigers: ______
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: ______
Elephants: 6049
Karnataka
No. of Elephants in these
states: ______
Kerala
Elephants: 3054
The map of India from page 156. Four numbers are already printed; the other boxes are
still empty.
ANSWER
No. of Tigers in these Tigers: ______
states: ______
Elephants: 5719
Uttarakhand
Elephants: ______
Meghalaya Assam
Tigers: ______
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: ______
Elephants: 6049
Karnataka
No. of Elephants in these
states: ______
Kerala
Elephants: 3054
Page 42 of 92
Writing the animal numbers on the map of India
Q1 Write the number of animals on this map based on the data from the problems in
the previous pages.
No. of Tigers in these Tigers: ______
states: ______
Elephants: 5719
Uttarakhand
Elephants: ______
Meghalaya Assam
Tigers: ______
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: ______
Elephants: 6049
Karnataka
No. of Elephants in these
states: ______
Kerala
Elephants: 3054
The map of India from page 156. Four numbers are already printed; the other boxes are
still empty.
ANSWER
No. of Tigers in these Tigers: ______
states: ______
Elephants: 5719
Uttarakhand
Elephants: ______
Meghalaya Assam
Tigers: ______
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: ______
Elephants: 6049
Karnataka
No. of Elephants in these
states: ______
Kerala
Elephants: 3054
Page 42 of 92
Page 44
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
The map of India from page 156. Four numbers are already printed; the other boxes are still empty.
All the numbers come from pages 152 to 155.
BOX ON THE MAP WHERE IT COMES FROM NUMBER
Tigers — Uttarakhand 444 + 116 560
Tigers — Madhya Pradesh 444 + 341 785
No. of Tigers in these states 444 + 785 + 560 1789
(Maharashtra, Madhya Pradesh, Uttarakhand)
Elephants — Meghalaya 5719 − 3965 1754
No. of Elephants in these states 6049 + 3054 9103
(Karnataka and Kerala)
No. of Leopards in these states 1355 + 1131 + 1817 4303
(Gujarat, Karnataka, Madhya Pradesh)
No. of Tigers in these Tigers: 560
states: 1789
Elephants: 5719
Uttarakhand
Elephants: 1754
Meghalaya Assam
Tigers: 785
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: 4303
Elephants: 6049
Karnataka
No. of Elephants in these
states: 9103
Kerala
Elephants: 3054
The same map with every box filled in.
Why it happens: The map is just a picture of the same sums. Each arrow points to
the state whose number we worked out.
Page 43 of 92
The map of India from page 156. Four numbers are already printed; the other boxes are still empty.
All the numbers come from pages 152 to 155.
BOX ON THE MAP WHERE IT COMES FROM NUMBER
Tigers — Uttarakhand 444 + 116 560
Tigers — Madhya Pradesh 444 + 341 785
No. of Tigers in these states 444 + 785 + 560 1789
(Maharashtra, Madhya Pradesh, Uttarakhand)
Elephants — Meghalaya 5719 − 3965 1754
No. of Elephants in these states 6049 + 3054 9103
(Karnataka and Kerala)
No. of Leopards in these states 1355 + 1131 + 1817 4303
(Gujarat, Karnataka, Madhya Pradesh)
No. of Tigers in these Tigers: 560
states: 1789
Elephants: 5719
Uttarakhand
Elephants: 1754
Meghalaya Assam
Tigers: 785
Madhya Pradesh
Gujarat
No. of Leopards in these
Maharashtra states: 4303
Elephants: 6049
Karnataka
No. of Elephants in these
states: 9103
Kerala
Elephants: 3054
The same map with every box filled in.
Why it happens: The map is just a picture of the same sums. Each arrow points to
the state whose number we worked out.
Page 43 of 92
Page 45
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Did you know? Karnataka’s dot has two labels — 6049 elephants and, with Gujarat
m as e
l
and Madhya Pradesh, a share of the 4303 leopards.
m .co a g
l a se
a g
Let Us Do — Page 157
co m
. ag
Visitors, juice bottles, vehicles and deposit slips
em
TRY THIS
g l as
a
Q1 The board in the ticket office in the Kaziranga National Park shows the following: a)
co m
m.
How many more visitors came in December than in November?
m as e
.co a g l
se m
g l a
a
MONTH NUMBER OF VISITORS
December 8591
om a s
. c agl
sem
November 6415
a
October agl ?
co m
.
The board at the ticket office of Kaziranga National Park.
e m
m l as
.co a g
a s em
a gl ANSWER
se m
comOF VISITORS g l a
. a
em
MONTH NUMBER
l a s
December
ag 8591
November 6415
co m
m .
as e
com l
October ?
. a g
m
ase
agl
The board at the ticket office of Kaziranga National Park.
.c
s e m
m a
‘How many more’ means we subtract.
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 44 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
Did you know? Karnataka’s dot has two labels — 6049 elephants and, with Gujarat
m as e
l
and Madhya Pradesh, a share of the 4303 leopards.
m .co a g
l a se
a g
Let Us Do — Page 157
co m
. ag
Visitors, juice bottles, vehicles and deposit slips
em
TRY THIS
g l as
a
Q1 The board in the ticket office in the Kaziranga National Park shows the following: a)
co m
m.
How many more visitors came in December than in November?
m as e
.co a g l
se m
g l a
a
MONTH NUMBER OF VISITORS
December 8591
om a s
. c agl
sem
November 6415
a
October agl ?
co m
.
The board at the ticket office of Kaziranga National Park.
e m
m l as
.co a g
a s em
a gl ANSWER
se m
comOF VISITORS g l a
. a
em
MONTH NUMBER
l a s
December
ag 8591
November 6415
co m
m .
as e
com l
October ?
. a g
m
ase
agl
The board at the ticket office of Kaziranga National Park.
.c
s e m
m a
‘How many more’ means we subtract.
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 44 of 92
Page 46
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
8591 − 6415
Ones: 1 − 5 cannot be done → take 1 ten, 11 − 5 = 6
Tens: 8 left, 8 − 1 = 7
Hundreds: 5 − 4 = 1
Thousands: 8 − 6 = 2
= 2176
2176 more visitors came in December than in November.
Why it happens: Taking November’s count away from December’s count leaves only
the extra visitors.
Check it yourself: 6415 + 2176 = 8591.
Page 45 of 92
8591 − 6415
Ones: 1 − 5 cannot be done → take 1 ten, 11 − 5 = 6
Tens: 8 left, 8 − 1 = 7
Hundreds: 5 − 4 = 1
Thousands: 8 − 6 = 2
= 2176
2176 more visitors came in December than in November.
Why it happens: Taking November’s count away from December’s count leaves only
the extra visitors.
Check it yourself: 6415 + 2176 = 8591.
Page 45 of 92
Page 47
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q2 b) The number of visitors in November is 1587 more than October. How many
visitors were there in October?
MONTH NUMBER OF VISITORS
December 8591
November 6415
October ?
The board at the ticket office of Kaziranga National Park.
ANSWER
MONTH NUMBER OF VISITORS
December 8591
November 6415
October ?
The board at the ticket office of Kaziranga National Park.
November is the bigger number, so October is found by subtracting.
6415 − 1587
Ones: 5 − 7 cannot be done → take 1 ten, 15 − 7 = 8
Tens: 0 left, 0 − 8 cannot be done → take 1 hundred, 10 − 8 = 2
Hundreds: 3 left, 3 − 5 cannot be done → take 1 thousand, 13 − 5 = 8
Thousands: 5 − 1 = 4
= 4828
4828 visitors came in October.
Page 46 of 92
Q2 b) The number of visitors in November is 1587 more than October. How many
visitors were there in October?
MONTH NUMBER OF VISITORS
December 8591
November 6415
October ?
The board at the ticket office of Kaziranga National Park.
ANSWER
MONTH NUMBER OF VISITORS
December 8591
November 6415
October ?
The board at the ticket office of Kaziranga National Park.
November is the bigger number, so October is found by subtracting.
6415 − 1587
Ones: 5 − 7 cannot be done → take 1 ten, 15 − 7 = 8
Tens: 0 left, 0 − 8 cannot be done → take 1 hundred, 10 − 8 = 2
Hundreds: 3 left, 3 − 5 cannot be done → take 1 thousand, 13 − 5 = 8
Thousands: 5 − 1 = 4
= 4828
4828 visitors came in October.
Page 46 of 92
Page 48
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Why it happens: October + 1587 = November, so November − 1587 takes us back to
October.
Check it yourself: 4828 + 1587 = 6415.
Q3 In a juice making factory, women make different types of juices as given below: a)
The number of bottles of guava juice is 759 more than the number of bottles of
pineapple juice. Find the number of bottles of guava juice.
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
ANSWER
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
Pineapple has 1348 bottles. Guava has 759 more, so add.
Page 47 of 92
Why it happens: October + 1587 = November, so November − 1587 takes us back to
October.
Check it yourself: 4828 + 1587 = 6415.
Q3 In a juice making factory, women make different types of juices as given below: a)
The number of bottles of guava juice is 759 more than the number of bottles of
pineapple juice. Find the number of bottles of guava juice.
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
ANSWER
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
Pineapple has 1348 bottles. Guava has 759 more, so add.
Page 47 of 92
Page 49
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
1348 + 759
Ones: 8 + 9 = 17 → write 7, carry 1 ten
Tens: 4 + 5 + 1 = 10 → write 0, carry 1 hundred
Hundreds: 3 + 7 + 1 = 11 → write 1, carry 1 thousand
Thousands: 1 + 1 = 2
= 2107
2107 bottles of guava juice are packed in a month.
Why it happens: Guava has everything pineapple has, and 759 bottles more, so we
put the two amounts together.
Page 48 of 92
1348 + 759
Ones: 8 + 9 = 17 → write 7, carry 1 ten
Tens: 4 + 5 + 1 = 10 → write 0, carry 1 hundred
Hundreds: 3 + 7 + 1 = 11 → write 1, carry 1 thousand
Thousands: 1 + 1 = 2
= 2107
2107 bottles of guava juice are packed in a month.
Why it happens: Guava has everything pineapple has, and 759 bottles more, so we
put the two amounts together.
Page 48 of 92
Page 50
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
b) The number of bottles of orange juice is 1257 more than the number of bottles of
e
Q4
com of orange juice are made in a month?
guava juice and 1417 less than the number of bottles of passion fruit juice. How
many.bottles g l as
em a
a s
a gl
m
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
. co ag
e m
as
Pineapple 1348
a g l
Guava
co m
m.
Orange
m as e
.co
Passion Fruit 4781
a g l
se m
g l a
a
The juice factory table from page 157.
m a s
m.co agl
se
ANSWER
g l a
a
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
co m
m .
m as e
.co l
Pineapple 1348
a g
a s emGuava
agl
m
Orange
a se
. com a g l
m
Passion Fruit 4781
ase
aglThe juice factory table from page 157.
co m
.
Guava has 2107 bottles (from part a). Orange has 1257 more.
e m
m l as
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 49 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
b) The number of bottles of orange juice is 1257 more than the number of bottles of
e
Q4
com of orange juice are made in a month?
guava juice and 1417 less than the number of bottles of passion fruit juice. How
many.bottles g l as
em a
a s
a gl
m
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
. co ag
e m
as
Pineapple 1348
a g l
Guava
co m
m.
Orange
m as e
.co
Passion Fruit 4781
a g l
se m
g l a
a
The juice factory table from page 157.
m a s
m.co agl
se
ANSWER
g l a
a
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
co m
m .
m as e
.co l
Pineapple 1348
a g
a s emGuava
agl
m
Orange
a se
. com a g l
m
Passion Fruit 4781
ase
aglThe juice factory table from page 157.
co m
.
Guava has 2107 bottles (from part a). Orange has 1257 more.
e m
m l as
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 49 of 92
Page 51
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
2107 + 1257
Ones: 7 + 7 = 14 → write 4, carry 1 ten
Tens: 0 + 5 + 1 = 6
Hundreds: 1 + 2 = 3
Thousands: 2 + 1 = 3
= 3364
3364 bottles of orange juice are made in a month.
The book gives a second clue. Let us use it as a check.
Passion fruit − 1417 = 4781 − 1417 = 3364 ✔
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava 2107
Orange 3364
Passion Fruit 4781
The juice factory table from page 157.
Why it happens: Both clues point to the same bottle count, so we know our answer
is right.
Page 50 of 92
2107 + 1257
Ones: 7 + 7 = 14 → write 4, carry 1 ten
Tens: 0 + 5 + 1 = 6
Hundreds: 1 + 2 = 3
Thousands: 2 + 1 = 3
= 3364
3364 bottles of orange juice are made in a month.
The book gives a second clue. Let us use it as a check.
Passion fruit − 1417 = 4781 − 1417 = 3364 ✔
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava 2107
Orange 3364
Passion Fruit 4781
The juice factory table from page 157.
Why it happens: Both clues point to the same bottle count, so we know our answer
is right.
Page 50 of 92
Page 52
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q5 c) Is the total number of bottles of guava juice and orange juice more or less than
the number of bottles of passion fruit juice? How much more or less?
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
ANSWER
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava 2107
Orange 3364
Passion Fruit 4781
The juice factory table from page 157.
First add guava and orange.
2107 + 3364
Ones: 7 + 4 = 11 → write 1, carry 1 ten
Tens: 0 + 6 + 1 = 7
Hundreds: 1 + 3 = 4
Thousands: 2 + 3 = 5
= 5471
Page 51 of 92
Q5 c) Is the total number of bottles of guava juice and orange juice more or less than
the number of bottles of passion fruit juice? How much more or less?
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava
Orange
Passion Fruit 4781
The juice factory table from page 157.
ANSWER
TYPE OF JUICE NUMBER OF BOTTLES PACKED IN A MONTH
Pineapple 1348
Guava 2107
Orange 3364
Passion Fruit 4781
The juice factory table from page 157.
First add guava and orange.
2107 + 3364
Ones: 7 + 4 = 11 → write 1, carry 1 ten
Tens: 0 + 6 + 1 = 7
Hundreds: 1 + 3 = 4
Thousands: 2 + 3 = 5
= 5471
Page 51 of 92
Page 53
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Now compare with passion fruit, which has 4781 bottles.
5471 is bigger than 4781
5471 − 4781 = 690
Guava and orange together are more — 690 bottles more than passion fruit.
Why it happens: 5471 and 4781 both have 4 digits, so we compare the thousands
first. 5 thousands beat 4 thousands.
Q6 In a small town, the following vehicles were registered in the year 2022. Find the
number of vehicles as per the conditions given below. a) The number of buses is 253
more than the number of jeeps. How many buses are there in the town?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
Jeeps = 6304. Buses are 253 more, so add.
Page 52 of 92
Now compare with passion fruit, which has 4781 bottles.
5471 is bigger than 4781
5471 − 4781 = 690
Guava and orange together are more — 690 bottles more than passion fruit.
Why it happens: 5471 and 4781 both have 4 digits, so we compare the thousands
first. 5 thousands beat 4 thousands.
Q6 In a small town, the following vehicles were registered in the year 2022. Find the
number of vehicles as per the conditions given below. a) The number of buses is 253
more than the number of jeeps. How many buses are there in the town?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
Jeeps = 6304. Buses are 253 more, so add.
Page 52 of 92
Page 54
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
6304 + 253
Ones: 4 + 3 = 7
Tens: 0 + 5 = 5
Hundreds: 3 + 2 = 5
Thousands: 6
= 6557
There are 6557 buses in the town.
Why it happens: The arrow on the chart points from jeeps to buses and says +253,
so we add.
Q7 b) The number of tractors is 5247 less than the number of buses. How many tractors
are in the town?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
Page 53 of 92
6304 + 253
Ones: 4 + 3 = 7
Tens: 0 + 5 = 5
Hundreds: 3 + 2 = 5
Thousands: 6
= 6557
There are 6557 buses in the town.
Why it happens: The arrow on the chart points from jeeps to buses and says +253,
so we add.
Q7 b) The number of tractors is 5247 less than the number of buses. How many tractors
are in the town?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
Page 53 of 92
Page 55
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
The vehicle chart from page 158.
co m
em.
m l as
.co a g
Buses = 6557. Tractors are 5247 less, so subtract.
se m
g l a
a6557 − 5247
Ones: 7 − 7 = 0
com
e m . ag
as
Tens: 5 − 4 = 1
Hundreds: 5 − 2 = 3 a g l
m
Thousands: 6 − 5 = 1
co
em.
as
= 1310
m l
m .co a g
l a se
There are 1310 tractors in the town.
a g
s
Why it happens: ‘Less than’ means we go backwards, so we take 5247 away from
m a
.co agl
the bus count.
se m
g l a
a
co m
m .
m ase
.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
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 54 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
The vehicle chart from page 158.
co m
em.
m l as
.co a g
Buses = 6557. Tractors are 5247 less, so subtract.
se m
g l a
a6557 − 5247
Ones: 7 − 7 = 0
com
e m . ag
as
Tens: 5 − 4 = 1
Hundreds: 5 − 2 = 3 a g l
m
Thousands: 6 − 5 = 1
co
em.
as
= 1310
m l
m .co a g
l a se
There are 1310 tractors in the town.
a g
s
Why it happens: ‘Less than’ means we go backwards, so we take 5247 away from
m a
.co agl
the bus count.
se m
g l a
a
co m
m .
m ase
.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
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 54 of 92
Page 56
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q8 c) The number of taxis is 1579 more than the number of tractors? How many taxis
are there?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
Tractors = 1310. Taxis are 1579 more, so add.
1310 + 1579
Ones: 0 + 9 = 9
Tens: 1 + 7 = 8
Hundreds: 3 + 5 = 8
Thousands: 1 + 1 = 2
= 2889
There are 2889 taxis in the town.
Page 55 of 92
Q8 c) The number of taxis is 1579 more than the number of tractors? How many taxis
are there?
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
Tractors = 1310. Taxis are 1579 more, so add.
1310 + 1579
Ones: 0 + 9 = 9
Tens: 1 + 7 = 8
Hundreds: 3 + 5 = 8
Thousands: 1 + 1 = 2
= 2889
There are 2889 taxis in the town.
Page 55 of 92
Page 57
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
+253 +1579
Jeeps: 6304 Buses: 6557 Tractors: 1310 Taxis: 2889
−5247
The vehicle chart from page 158.
Why it happens: Each box in the chart is worked out from the box before it, so we
must do them in order.
Q9 d) Arrange the numbers of each type of vehicle from lowest to highest.
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses: 6557 Tractors: 1310 Taxis: 2889
−5247
The vehicle chart from page 158.
The four counts are 6304, 6557, 1310 and 2889.
Page 56 of 92
+253 +1579
Jeeps: 6304 Buses: 6557 Tractors: 1310 Taxis: 2889
−5247
The vehicle chart from page 158.
Why it happens: Each box in the chart is worked out from the box before it, so we
must do them in order.
Q9 d) Arrange the numbers of each type of vehicle from lowest to highest.
+253 +1579
Jeeps: 6304 Buses Tractors Taxis
−5247
The vehicle chart from page 158.
ANSWER
+253 +1579
Jeeps: 6304 Buses: 6557 Tractors: 1310 Taxis: 2889
−5247
The vehicle chart from page 158.
The four counts are 6304, 6557, 1310 and 2889.
Page 56 of 92
Page 58
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Look at the thousands digit first:
1310 → 1 thousand
2889 → 2 thousands
6304 and 6557 → 6 thousands each
For 6304 and 6557, look at the hundreds: 3 is less than 5
ORDER VEHICLE NUMBER
Lowest Tractors 1310
2nd Taxis 2889
3rd Jeeps 6304
Highest Buses 6557
1310 < 2889 < 6304 < 6557
Why it happens: In four-digit numbers the thousands place decides first. Only if two
thousands digits match do we look at the hundreds.
Page 57 of 92
Look at the thousands digit first:
1310 → 1 thousand
2889 → 2 thousands
6304 and 6557 → 6 thousands each
For 6304 and 6557, look at the hundreds: 3 is less than 5
ORDER VEHICLE NUMBER
Lowest Tractors 1310
2nd Taxis 2889
3rd Jeeps 6304
Highest Buses 6557
1310 < 2889 < 6304 < 6557
Why it happens: In four-digit numbers the thousands place decides first. Only if two
thousands digits match do we look at the hundreds.
Page 57 of 92
Page 59
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards AglaSem · NCERT Solutions
Q10 Solve a) 1459 + 476 b) 3863 + 4188 c) 5017 + 899 d) 4285 + 2132 e) 3158 + 1052 f) 7293 –
2819 g) 3105 – 1223 h) 8006 – 5567 i) 5000 – 4124 j) 9018 – 487
ANSWER
SUM HOW THE PLACES WORK OUT ANSWER
a) 1459 + 476 9+6=15 carry 1; 5+7+1=13 carry 1; 4+4+1=9; 1 1935
b) 3863 + 4188 3+8=11 carry 1; 6+8+1=15 carry 1; 8+1+1=10 carry 1; 3+4+1=8 8051
c) 5017 + 899 7+9=16 carry 1; 1+9+1=11 carry 1; 0+8+1=9; 5 5916
d) 4285 + 2132 5+2=7; 8+3=11 carry 1; 2+1+1=4; 4+2=6 6417
e) 3158 + 1052 8+2=10 carry 1; 5+5+1=11 carry 1; 1+0+1=2; 3+1=4 4210
f) 7293 − 2819 13−9=4; 8−1=7; 11−8=3 after borrowing; 6−2=4 4474
g) 3105 − 1223 5−3=2; 10−2=8 after borrowing; 10−2=8; 2−1=1 1882
h) 8006 − 5567 16−7=9; 9−6=3; 9−5=4; 7−5=2 2439
i) 5000 − 4124 10−4=6; 9−2=7; 9−1=8; 4−4=0 876
j) 9018 − 487 8−7=1; 11−8=3; 9−4=5; 8 8531
Why it happens: We always start from the ones place. If a column is too small to
subtract, we borrow one bundle from the next place on the left.
Check it yourself: Add your subtraction answer back. For (i), 876 + 4124 = 5000.
Page 58 of 92
Q10 Solve a) 1459 + 476 b) 3863 + 4188 c) 5017 + 899 d) 4285 + 2132 e) 3158 + 1052 f) 7293 –
2819 g) 3105 – 1223 h) 8006 – 5567 i) 5000 – 4124 j) 9018 – 487
ANSWER
SUM HOW THE PLACES WORK OUT ANSWER
a) 1459 + 476 9+6=15 carry 1; 5+7+1=13 carry 1; 4+4+1=9; 1 1935
b) 3863 + 4188 3+8=11 carry 1; 6+8+1=15 carry 1; 8+1+1=10 carry 1; 3+4+1=8 8051
c) 5017 + 899 7+9=16 carry 1; 1+9+1=11 carry 1; 0+8+1=9; 5 5916
d) 4285 + 2132 5+2=7; 8+3=11 carry 1; 2+1+1=4; 4+2=6 6417
e) 3158 + 1052 8+2=10 carry 1; 5+5+1=11 carry 1; 1+0+1=2; 3+1=4 4210
f) 7293 − 2819 13−9=4; 8−1=7; 11−8=3 after borrowing; 6−2=4 4474
g) 3105 − 1223 5−3=2; 10−2=8 after borrowing; 10−2=8; 2−1=1 1882
h) 8006 − 5567 16−7=9; 9−6=3; 9−5=4; 7−5=2 2439
i) 5000 − 4124 10−4=6; 9−2=7; 9−1=8; 4−4=0 876
j) 9018 − 487 8−7=1; 11−8=3; 9−4=5; 8 8531
Why it happens: We always start from the ones place. If a column is too small to
subtract, we borrow one bundle from the next place on the left.
Check it yourself: Add your subtraction answer back. For (i), 876 + 4124 = 5000.
Page 58 of 92
Page 60
as e
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
The children in a school in Chittoor are planning to organise a Baal Mela in their
e
Q11
comappropriately. (Raju: ₹2045)
school. Help each of the children fill the deposit slip given below. Fill in the
g l as
. a
em
amounts
l a s
ag
om
SPB — DEPOSIT SLIP
. c
em₹2045 ag
a
Name: Raju Amount (in numbers):
s
gl
Total Amount (in words):a______
co m
m.
TYPE OF NOTE/ COIN NO. OF NOTES/ COINS AMOUNT
m as e 1500
.co
500 3
a g l
se m
g l a 100 3 300
a
s
50 2
m a
m .co14 agl
se
10
g l a
5
a 1
2 0
co m
m .
ase
com l
1 0
. a g
m
ase
TOTAL
agl
se m
Deposit slip for Raju.
com g l a
m . a
ase
ANSWER
agl
co m
m .
SPB — DEPOSIT SLIP
m as e
.coName: Raju Amount (in numbers): ₹2045 a g l
se m
g l a
a c
.
Total Amount (in words): ______
s e m
m a
.co agl
TYPE OF NOTE/ COIN NO. OF NOTES/ COINS AMOUNT
se m
500
g l a 3 1500
100
a 3 300
co m
m .
m as e
.co
a g l Page 59 of 92
Class 4 Maths Chapter 10 Elephants, Tigers, and Leopards
a g l AglaSem · NCERT Solutions
co m
m.
The children in a school in Chittoor are planning to organise a Baal Mela in their
e
Q11
comappropriately. (Raju: ₹2045)
school. Help each of the children fill the deposit slip given below. Fill in the
g l as
. a
em
amounts
l a s
ag
om
SPB — DEPOSIT SLIP
. c
em₹2045 ag
a
Name: Raju Amount (in numbers):
s
gl
Total Amount (in words):a______
co m
m.
TYPE OF NOTE/ COIN NO. OF NOTES/ COINS AMOUNT
m as e 1500
.co
500 3
a g l
se m
g l a 100 3 300
a
s
50 2
m a
m .co14 agl
se
10
g l a
5
a 1
2 0
co m
m .
ase
com l
1 0
. a g
m
ase
TOTAL
agl
se m
Deposit slip for Raju.
com g l a
m . a
ase
ANSWER
agl
co m
m .
SPB — DEPOSIT SLIP
m as e
.coName: Raju Amount (in numbers): ₹2045 a g l
se m
g l a
a c
.
Total Amount (in words): ______
s e m
m a
.co agl
TYPE OF NOTE/ COIN NO. OF NOTES/ COINS AMOUNT
se m
500
g l a 3 1500
100
a 3 300
co m
m .
m as e
.co
a g l Page 59 of 92
Document Details
| Board / Org | NCERT |
| Exam | Class 4 |
| Type | Solution |
| Pages | 83 |
| Language | english |
| Updated | 13 Oct 2026 |