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Page 1
Chapter Chapter
13 13
Animal Jumps
Find the hidden numbers.
Numbers put in this box get
multiplied by a number and come out.
(a) Can you guess the multiplier if
you see the 4 numbers coming
out of the box?
(b) Is there more than one possible
multiplier?
(c) What numbers might have been
put inside the box?
Share your thoughts in the class.
You can also play this game with your friends.
The multipliers 1, 2, and 4 that you found above are the factors of the
numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28,
36, 48, and 72 are multiples of 1, 2 and 4.
The product of two or more factors gives a multiple.
A number, when arranged in an array, shows the factors of that number.
Are there other numbers that are factors of 15? Try to make other arrays
for the number 15.
Let us make arrays for the number 12.
3 × 5 = 15
Factors Multiple
3 × 4 = 12
2 × 6 = 12
1 × 12 = 12
Chapter-13 Animal Jumps.indd 164 Chapter-13 Animal Jumps.indd 164 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Page 2
Chapter Chapter
13 13
Animal Jumps
Find the hidden numbers.
Numbers put in this box get
multiplied by a number and come out.
(a) Can you guess the multiplier if
you see the 4 numbers coming
out of the box?
(b) Is there more than one possible
multiplier?
(c) What numbers might have been
put inside the box?
Share your thoughts in the class.
You can also play this game with your friends.
The multipliers 1, 2, and 4 that you found above are the factors of the
numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28,
36, 48, and 72 are multiples of 1, 2 and 4.
The product of two or more factors gives a multiple.
A number, when arranged in an array, shows the factors of that number.
Are there other numbers that are factors of 15? Try to make other arrays
for the number 15.
Let us make arrays for the number 12.
3 × 5 = 15
Factors Multiple
3 × 4 = 12
2 × 6 = 12
1 × 12 = 12
Chapter-13 Animal Jumps.indd 164 Chapter-13 Animal Jumps.indd 164 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Make different arrays for the following numbers. Identify the factors in each
case.
(a) 10
(b) 14
(c) 13
(d) 20
(e) 25
(f) 32
(g) 37
(h) 46
(i) 54
Numbers like 13 and 37 are Numbers like 13 and 37 are
called prime numbers.Why? called prime numbers.Why?
A rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time.
Use the number line to figure out the numbers they will both touch. If the
rabbit and the frog start from 0, the numbers both of them will touch are
called the common multiples of 3 and 4.
0 3 4 6 8 9 12
12 is the first common multiple of 3 and 4. What are some other common
multiples of 3 and 4? You can continue the number line or take help from
the times tables of 3 and 4.
What do you notice about the common multiples of 3 and 4? Discuss in class.
1, 2, 3, 4, 6, and 12 are all factors of 12. Each of the numbers can divide
12 completely. 12 is a multiple of these numbers.
Do you see why 12 is a multiple of 1, 2, 3, 4, 6, and 12?
2 × ____ = 12 3 × ____ = 12
12 × ____ = 12 1 × ____ = 12
Let Us Do
The number itself is always The number itself is always
a multiple of itself. a multiple of itself.
Animal Jumps
165
Chapter-13 Animal Jumps.indd 165 Chapter-13 Animal Jumps.indd 165 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Page 3
Chapter Chapter
13 13
Animal Jumps
Find the hidden numbers.
Numbers put in this box get
multiplied by a number and come out.
(a) Can you guess the multiplier if
you see the 4 numbers coming
out of the box?
(b) Is there more than one possible
multiplier?
(c) What numbers might have been
put inside the box?
Share your thoughts in the class.
You can also play this game with your friends.
The multipliers 1, 2, and 4 that you found above are the factors of the
numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28,
36, 48, and 72 are multiples of 1, 2 and 4.
The product of two or more factors gives a multiple.
A number, when arranged in an array, shows the factors of that number.
Are there other numbers that are factors of 15? Try to make other arrays
for the number 15.
Let us make arrays for the number 12.
3 × 5 = 15
Factors Multiple
3 × 4 = 12
2 × 6 = 12
1 × 12 = 12
Chapter-13 Animal Jumps.indd 164 Chapter-13 Animal Jumps.indd 164 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Make different arrays for the following numbers. Identify the factors in each
case.
(a) 10
(b) 14
(c) 13
(d) 20
(e) 25
(f) 32
(g) 37
(h) 46
(i) 54
Numbers like 13 and 37 are Numbers like 13 and 37 are
called prime numbers.Why? called prime numbers.Why?
A rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time.
Use the number line to figure out the numbers they will both touch. If the
rabbit and the frog start from 0, the numbers both of them will touch are
called the common multiples of 3 and 4.
0 3 4 6 8 9 12
12 is the first common multiple of 3 and 4. What are some other common
multiples of 3 and 4? You can continue the number line or take help from
the times tables of 3 and 4.
What do you notice about the common multiples of 3 and 4? Discuss in class.
1, 2, 3, 4, 6, and 12 are all factors of 12. Each of the numbers can divide
12 completely. 12 is a multiple of these numbers.
Do you see why 12 is a multiple of 1, 2, 3, 4, 6, and 12?
2 × ____ = 12 3 × ____ = 12
12 × ____ = 12 1 × ____ = 12
Let Us Do
The number itself is always The number itself is always
a multiple of itself. a multiple of itself.
Animal Jumps
165
Chapter-13 Animal Jumps.indd 165 Chapter-13 Animal Jumps.indd 165 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
A spider takes a jump of 3 every time. A grasshopper takes a jump of 6 each
time. Use the number line to find the common multiples of 3 and 6.
0 3 6 9 12
1. Find 5 common multiples of the following pairs of numbers.
(a) 2 and 3
(b) 5 and 8
(c) 2 and 4
(d) 3 and 9
(e) 5 and 10
(f ) 9 and 12
(f) 8 and 12
(g) 6 and 8
(h) 6 and 9
What do you notice about the common multiples of different pairs of
numbers? Discuss in class.
6 and 12 are two common multiples of 3 and 6. You can continue the
pattern to find more common multiples. What do you notice about the
common multiples of 3 and 6? Discuss.
Let us write the multiples of two numbers— 4 and 6.
Multiples of 4— 4, 8, 12 , 16, ...
Multiple of 6— 6, 12 , 18, ...
12 and 24 are two of the common multiples of 4 and 6. List a few more.
Let Us Do
166
Chapter-13 Animal Jumps.indd 166 Chapter-13 Animal Jumps.indd 166 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Page 4
Chapter Chapter
13 13
Animal Jumps
Find the hidden numbers.
Numbers put in this box get
multiplied by a number and come out.
(a) Can you guess the multiplier if
you see the 4 numbers coming
out of the box?
(b) Is there more than one possible
multiplier?
(c) What numbers might have been
put inside the box?
Share your thoughts in the class.
You can also play this game with your friends.
The multipliers 1, 2, and 4 that you found above are the factors of the
numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28,
36, 48, and 72 are multiples of 1, 2 and 4.
The product of two or more factors gives a multiple.
A number, when arranged in an array, shows the factors of that number.
Are there other numbers that are factors of 15? Try to make other arrays
for the number 15.
Let us make arrays for the number 12.
3 × 5 = 15
Factors Multiple
3 × 4 = 12
2 × 6 = 12
1 × 12 = 12
Chapter-13 Animal Jumps.indd 164 Chapter-13 Animal Jumps.indd 164 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Make different arrays for the following numbers. Identify the factors in each
case.
(a) 10
(b) 14
(c) 13
(d) 20
(e) 25
(f) 32
(g) 37
(h) 46
(i) 54
Numbers like 13 and 37 are Numbers like 13 and 37 are
called prime numbers.Why? called prime numbers.Why?
A rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time.
Use the number line to figure out the numbers they will both touch. If the
rabbit and the frog start from 0, the numbers both of them will touch are
called the common multiples of 3 and 4.
0 3 4 6 8 9 12
12 is the first common multiple of 3 and 4. What are some other common
multiples of 3 and 4? You can continue the number line or take help from
the times tables of 3 and 4.
What do you notice about the common multiples of 3 and 4? Discuss in class.
1, 2, 3, 4, 6, and 12 are all factors of 12. Each of the numbers can divide
12 completely. 12 is a multiple of these numbers.
Do you see why 12 is a multiple of 1, 2, 3, 4, 6, and 12?
2 × ____ = 12 3 × ____ = 12
12 × ____ = 12 1 × ____ = 12
Let Us Do
The number itself is always The number itself is always
a multiple of itself. a multiple of itself.
Animal Jumps
165
Chapter-13 Animal Jumps.indd 165 Chapter-13 Animal Jumps.indd 165 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
A spider takes a jump of 3 every time. A grasshopper takes a jump of 6 each
time. Use the number line to find the common multiples of 3 and 6.
0 3 6 9 12
1. Find 5 common multiples of the following pairs of numbers.
(a) 2 and 3
(b) 5 and 8
(c) 2 and 4
(d) 3 and 9
(e) 5 and 10
(f ) 9 and 12
(f) 8 and 12
(g) 6 and 8
(h) 6 and 9
What do you notice about the common multiples of different pairs of
numbers? Discuss in class.
6 and 12 are two common multiples of 3 and 6. You can continue the
pattern to find more common multiples. What do you notice about the
common multiples of 3 and 6? Discuss.
Let us write the multiples of two numbers— 4 and 6.
Multiples of 4— 4, 8, 12 , 16, ...
Multiple of 6— 6, 12 , 18, ...
12 and 24 are two of the common multiples of 4 and 6. List a few more.
Let Us Do
166
Chapter-13 Animal Jumps.indd 166 Chapter-13 Animal Jumps.indd 166 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
2. Food is available at the end of a cobbled road. Robby, the rabbit, takes
a jump of 4 each time. Deeku, the deer, takes a jump of 6 each time.
They both start at 0. Will both Robby and Deeku reach the food? Who
will reach first? How do you know? Explain your answer.
3. Mowgli’s friends live along the trail on the marked places below. Which
of his friends will he be able to visit, if he jumps by 2 steps starting
from 0?
0
1
2
3
4 5
6 7
8
9
10
11
12
13
14
15
16
17 18 19
20
21
22
23
24
25
26
27
28
29
30
31
32
33 34
35
36
37
38
39
40
41 42 43
44
45
46
47
48
49
50
51
52
53
54
55 56 57 58 59 59
167
Chapter-13 Animal Jumps.indd 167 Chapter-13 Animal Jumps.indd 167 7/2/2025 6:19:28 PM 7/2/2025 6:19:28 PM
Page 5
Chapter Chapter
13 13
Animal Jumps
Find the hidden numbers.
Numbers put in this box get
multiplied by a number and come out.
(a) Can you guess the multiplier if
you see the 4 numbers coming
out of the box?
(b) Is there more than one possible
multiplier?
(c) What numbers might have been
put inside the box?
Share your thoughts in the class.
You can also play this game with your friends.
The multipliers 1, 2, and 4 that you found above are the factors of the
numbers that have come out of the box, that is, 28, 36, 48, and 72.
In fact, these are the common factors of all the numbers. The numbers 28,
36, 48, and 72 are multiples of 1, 2 and 4.
The product of two or more factors gives a multiple.
A number, when arranged in an array, shows the factors of that number.
Are there other numbers that are factors of 15? Try to make other arrays
for the number 15.
Let us make arrays for the number 12.
3 × 5 = 15
Factors Multiple
3 × 4 = 12
2 × 6 = 12
1 × 12 = 12
Chapter-13 Animal Jumps.indd 164 Chapter-13 Animal Jumps.indd 164 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
Make different arrays for the following numbers. Identify the factors in each
case.
(a) 10
(b) 14
(c) 13
(d) 20
(e) 25
(f) 32
(g) 37
(h) 46
(i) 54
Numbers like 13 and 37 are Numbers like 13 and 37 are
called prime numbers.Why? called prime numbers.Why?
A rabbit takes a jump of 4 each time. A frog takes a jump of 3 each time.
Use the number line to figure out the numbers they will both touch. If the
rabbit and the frog start from 0, the numbers both of them will touch are
called the common multiples of 3 and 4.
0 3 4 6 8 9 12
12 is the first common multiple of 3 and 4. What are some other common
multiples of 3 and 4? You can continue the number line or take help from
the times tables of 3 and 4.
What do you notice about the common multiples of 3 and 4? Discuss in class.
1, 2, 3, 4, 6, and 12 are all factors of 12. Each of the numbers can divide
12 completely. 12 is a multiple of these numbers.
Do you see why 12 is a multiple of 1, 2, 3, 4, 6, and 12?
2 × ____ = 12 3 × ____ = 12
12 × ____ = 12 1 × ____ = 12
Let Us Do
The number itself is always The number itself is always
a multiple of itself. a multiple of itself.
Animal Jumps
165
Chapter-13 Animal Jumps.indd 165 Chapter-13 Animal Jumps.indd 165 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
A spider takes a jump of 3 every time. A grasshopper takes a jump of 6 each
time. Use the number line to find the common multiples of 3 and 6.
0 3 6 9 12
1. Find 5 common multiples of the following pairs of numbers.
(a) 2 and 3
(b) 5 and 8
(c) 2 and 4
(d) 3 and 9
(e) 5 and 10
(f ) 9 and 12
(f) 8 and 12
(g) 6 and 8
(h) 6 and 9
What do you notice about the common multiples of different pairs of
numbers? Discuss in class.
6 and 12 are two common multiples of 3 and 6. You can continue the
pattern to find more common multiples. What do you notice about the
common multiples of 3 and 6? Discuss.
Let us write the multiples of two numbers— 4 and 6.
Multiples of 4— 4, 8, 12 , 16, ...
Multiple of 6— 6, 12 , 18, ...
12 and 24 are two of the common multiples of 4 and 6. List a few more.
Let Us Do
166
Chapter-13 Animal Jumps.indd 166 Chapter-13 Animal Jumps.indd 166 7/2/2025 6:19:27 PM 7/2/2025 6:19:27 PM
2. Food is available at the end of a cobbled road. Robby, the rabbit, takes
a jump of 4 each time. Deeku, the deer, takes a jump of 6 each time.
They both start at 0. Will both Robby and Deeku reach the food? Who
will reach first? How do you know? Explain your answer.
3. Mowgli’s friends live along the trail on the marked places below. Which
of his friends will he be able to visit, if he jumps by 2 steps starting
from 0?
0
1
2
3
4 5
6 7
8
9
10
11
12
13
14
15
16
17 18 19
20
21
22
23
24
25
26
27
28
29
30
31
32
33 34
35
36
37
38
39
40
41 42 43
44
45
46
47
48
49
50
51
52
53
54
55 56 57 58 59 59
167
Chapter-13 Animal Jumps.indd 167 Chapter-13 Animal Jumps.indd 167 7/2/2025 6:19:28 PM 7/2/2025 6:19:28 PM
4. Let us find some common factors of the numbers 24 and 36. Note that
all jumps in the following questions start from 0.
(a) Can we jump by 2 steps at a time to reach both 24 and 36? Yes/
No. 2 is/is not a common factor of 24 and 36.
(b) Can we jump by 3 steps at a time to reach both 24 and 36? Yes/
No. 3 is/is not a common factor of 24 and 36.
(c) Can we jump by 4 steps at a time to reach both 24 and 36? Yes/
No. 4 is/is not a common factor of 24 and 36.
(d) What other jumps can we take to reach both 24 and 36?
(e) How many common factors can you find for 24 and 36? List them.
(f) What about jumping by 1 step each time to reach both 24 and 36?
5. What are the common factors of 12 and 13?
The number itself and 1 are The number itself and 1 are
always factors of any number always factors of any number
Did Mowgli meet the ant, frog, bird and the rabbit? Notice their positions— 4,
12, 14, and 50. 2 is a common factor of these numbers.
Which of his friends will he be able to meet if he jumps by 3 steps?
3 is a common factor of the numbers 9, 21, 39, and 57.
Which numbers will he touch if he jumps by 5 steps?
.
5 is a common factor of the numbers _________________________.
Which numbers will he touch if he jumps by 10 steps?
.
10 is a common factor of the numbers _________________________.
A common factor of two or more numbers exactly divides each the numbers.
168
Chapter-13 Animal Jumps.indd 168 Chapter-13 Animal Jumps.indd 168 7/2/2025 6:19:28 PM 7/2/2025 6:19:28 PM
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FAQs on NCERT Textbook: Animal Jumps - Mathematics (Maths Mela) Class 5 - New NCERT
| 1. What are some of the key adaptations that allow animals to jump effectively? |  |
Ans.Animals that jump have several adaptations, such as strong leg muscles, specialized tendons, and flexible joints. These adaptations enable them to generate the necessary force to propel themselves into the air. For instance, frogs have powerful hind legs and elastic tendons that store energy when they crouch, helping them leap great distances.
| 2. Which animals are known for their impressive jumping abilities? | |
Ans.Some animals are particularly renowned for their jumping skills. For example, kangaroos are famous for their long-distance jumps, aided by their strong hind legs and large tails for balance. Similarly, grasshoppers can leap many times their body length thanks to their strong hind legs, and frogs are also excellent jumpers, often using their powerful legs to escape predators.
| 3. How do different environments influence the jumping abilities of animals? | |
Ans.Different environments play a significant role in the jumping abilities of animals. For example, animals that live in open areas, like grasslands, may develop longer and more powerful legs to cover more ground quickly. In contrast, animals in dense forests might have shorter, more agile legs that allow for quick, short jumps to navigate through obstacles.
| 4. What role does jumping play in the survival of animals? | |
Ans.Jumping can be a critical survival mechanism for many animals. It helps them escape from predators, find food, or reach mates. For example, a rabbit's ability to jump quickly can help it evade a chasing fox. Additionally, jumping can also aid in territorial displays or courtship rituals, attracting mates through impressive leaps.
| 5. How do scientists study animal jumping and its mechanics? | |
Ans.Scientists study animal jumping through various methods, including high-speed cameras and motion analysis software. These tools allow researchers to capture the mechanics of jumping in detail, analyzing factors such as speed, angle, and force. By understanding these mechanics, scientists can gain insights into evolution, biomechanics, and the ecological roles of different species.
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