Class 5 Mathematics

Chapter 13 Solutions — Animal Jumps

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Solutions

Overview

Step-by-step NCERT solutions for Animal Jumps (Chapter 13, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the Animal Jumps textbook chapter.

Solved

What these solutions cover

All 14 questions in Animal Jumps are solved in the PDF. Here's what's inside, exercise by exercise:

Find the Hidden Numbers — Factors and Multiples Introduction (p. 164)

1.
Numbers are put in a box, multiplied by a number, and come out as 28, 36, 48, and 72.
- (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?

Fill in the Blanks — Factors of 12 (p. 165)

Fill in the blanks to complete the multiplication sentences for 12. 2 x ___ = 12 12 x ___ = 12 3 x ___ = 12 1 x ___ = 12

Let Us Do — Arrays and Factors (p. 165)

1.
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

Let Us Do — Common Multiples (p. 166)

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) 8 and 12
- (g) 6 and 8
- (h) 9 and 12
- (f) 6 and 9
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.
Mowgli's friends live along a trail at marked places. Which of his friends will he be able to visit, if he jumps by 2 steps starting from 0? Then: which friends will he meet jumping by 3 steps? By 5 steps? By 10 steps?
4.
Find some common factors of 24 and 36.
- (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.
- (c) Can we jump by 4 steps at a time to reach both 24 and 36? Yes/No.
- (d) What other jumps can we take to reach both 24 and 36?
- (e) How many common factors can you find for 24…
What are the common factors of 12 and 13?
Find which of the following numbers can be reached by jumps of 4 steps. 0, 10, 16, 27, 36, 48 4 is the common factor of the numbers ___.
7.
Find the common factors of the following pairs of numbers.
- (a) 12 and 16
- (b) 8 and 12
- (c) 4 and 16
- (d) 2 and 9
- (e) 3 and 5
- (f) 12 and 15
- (f) 20 and 5
- (g) 9 and 21
- (h) 6 and 27
8.
State whether the following statements are true (T) or false (F).
- (a) Factors of even numbers must be even.
- (b) Multiples of odd numbers cannot be even.
- (c) Factors of odd numbers cannot be even.
- (d) One of the common multiples of two consecutive numbers is their product.
- (e) The only common factor of any two consecutive numbers is 1.
- (f) 0 cannot be a factor of any number.
Sher Khan, the tiger, goes hunting every 3rd day. Bagheera, the panther, goes hunting every 5th day. If both of them start on the same day, on which days will they be hunting together?
In the trail, Sher Khan's house is on number 25 and Baloo the bear is on number 30. Mowgli wants to meet Baloo but avoid Sher Khan's house. How long (in steps) could each jump be? (b) What number of jumps (in steps) could he choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?
11.
Sort the following numbers into those that are—
- (a) divisible by 2 only
- (b) divisible by 5 only
- (c) divisible by 10 only
- (d) divisible by 2, 5, and 10. Numbers: 90, 22, 38, 30, 75, 45, 66, 78, 62, 40, 84, 56, 25, 95, 55

Sample

Worked examples

3 questions from Animal Jumps, solved step by step.

Let Us Do — Common Multiples (p. 166)

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.

The cobbled road goes from 0 to 64 (food is at position 64).

Robby (jumps of 4) lands on: 4, 8, 12, 16, ..., 60, 64.

64 / 4 = 16 — YES, Robby reaches 64 in exactly 16 jumps.

Deeku (jumps of 6) lands on: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

64 / 6 = 10 remainder 4 — NO, Deeku cannot reach 64 exactly.

64 is NOT a multiple of 6.

So only Robby the rabbit reaches the food. Deeku the deer never lands on 64.

Answer: Only Robby the rabbit reaches the food. 64 is a multiple of 4 (4 x 16 = 64), so Robby lands there in 16 jumps. 64 is not a multiple of 6 (64 / 6 = 10 r 4), so Deeku never lands on it.

Let Us Do — Common Multiples (p. 166)

Mowgli's friends live along a trail at marked places. Which of his friends will he be able to visit, if he jumps by 2 steps starting from 0? Then: which friends will he meet jumping by 3 steps? By 5 steps? By 10 steps?

Jumping by 2 from 0 means landing on 0, 2, 4, 6, 8, 10, ... (all even numbers).

The friends standing on these even places are: ant at 4, frog at 12, bird at 14, rabbit at 50.

So Mowgli can visit the ant, the frog, the bird, and the rabbit.

2 is a common factor of 4, 12, 14, and 50.

Jumping by 3: lands on 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, ...

Marked places on multiples of 3: 9 (spider), 21 (snake), 39 (deer), 57 (monkey).

3 is a common factor of 9, 21, 39, and 57.

Jumping by 5: lands on 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.

5 is a common factor of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.

Jumping by 10: lands on 10, 20, 30, 40, 50.

10 is a common factor of 10, 20, 30, 40, 50.

Answer: Jump 2: meets friends at 4 (ant), 12 (frog), 14 (bird), 50 (rabbit). Jump 3: meets friends at 9, 21, 39, 57. Jump 5: lands on 5,10,15,20,25,30,35,40,45,50,55. Jump 10: lands on 10,20,30,40,50.

Let Us Do — Common Multiples (p. 166)

What are the common factors of 12 and 13?

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 13: 1, 13 (13 is a prime number)

Common factors = numbers that appear in both lists: only 1.

The only common factor of 12 and 13 is 1.

Note: The number 1 and the number itself are always factors of any number.

Answer: The only common factor of 12 and 13 is 1.

All 14 questions in Animal Jumps are solved step by step in the Solutions PDF above.

Keep solving

Chapter 13 Solutions — Animal Jumps

Overview

What these solutions cover

Find the Hidden Numbers — Factors and Multiples Introduction (p. 164)

Fill in the Blanks — Factors of 12 (p. 165)

Let Us Do — Arrays and Factors (p. 165)

Let Us Do — Common Multiples (p. 166)

Worked examples

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.

Mowgli's friends live along a trail at marked places. Which of his friends will he be able to visit, if he jumps by 2 steps starting from 0? Then: which friends will he meet jumping by 3 steps? By 5 steps? By 10 steps?

What are the common factors of 12 and 13?

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