Question 1

Make different arrays for the following numbers. Identify the factors in each case.
(a) 10

Accepted Answer

Factors of 10 are 1, 2, 5, and 10.(b) 14Solution:Factors of 14 are 1, 2, 7, and 14.(c) 13Solution:Factors of 13 are 1 and 13 only. So, 13 is a prime number.(d) 20Solution:Factors of 20 are 1, 2, 4, 5, 10, and 20.(e) 25Solution:Factors of 25 are 1, 5, and 25.(f) 32Solution:Factors of 32 are 1, 2, 4, 8, 16, and 32.(g) 37Solution:Factors of 37 are 1 and 37 only. So, 37 is a prime number.(h) 46Solution:Factors of 46 are 1 , 2, 23 and 46.(i) 54Solution:Factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.NCERT Textbook Pages 166-170Let Us Do

Question 2

Find 5 common multiples of the following pairs of numbers.
(a) 2 and 3

Accepted Answer

2 and 3Multiples of 2:2, 4, 6, 8, 10, 14, 16, 18, 20, 22, 24, 26, 28, 30, …Multiples of 3:3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, …First 5 common multiples of 2 and 3 are: 6, 12, 18, 24, and 30.(b) 5 and 8Solution:5 and 8Multiples of 5:5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, …Multiples of 8:8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, …First 5 common multiples of 5 and 8 are: 40, 80, 120, 160, and 200.(c) 2 and 4Solution:Multiples of 2:2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, …First 5 common multiples of 2 and 4 are:4, 8, 12, 16, and 20.(d) 3 and 9Solution:Multiples of 3:3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, …….Multiples of 9:9, 18, 27, 36, 45, 54 …First 5 common multiples of 3 and 9 are:9, 18, 27, 36, and 45.(e) 5 and 10Solution:Multiples of 5:5, 10, 15, 20, 25, 30, 35, 40, 45, 50, …Multiples of 10:10, 20, 30, 40, 50, 60, 70, 80, 90, 100, …First 5 common multiples of 5 and 10 are:10, 20, 30, 40, and 50.(f) 9 and 12Solution:Multiples of 9:9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, …Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, …First 5 common multiples of 9 and 12 are: 36, 72, 108, 144, and 180.(g) 8 and 12Solution:Multiples of 8:8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, …Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ………..First 5 common multiples of 8 and 12 are:24, 48, 72, 96, and 120.(h) 6 and 8Solution:Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, …Multiples of 8:8,16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, …First 5 common multiples of 6 and 8 are: 24, 48, 72, 96 and 120.(i) 6 and 9Solution:Multiples of 6:6, 12, 18, 24, 30, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, …Multiples of 9:9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, …First 5 common multiples of 6 and 9 are: 18, 36, 54, 72 and 90.What do you notice about the common multiples of different pairs of numbers? Discuss in class.Solution:Do it yourself.

Question 3

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

Accepted Answer

Solution:Robby (Rabbit): Jumps 4 steps at a time. This means Robby will land on multiples of 4 (0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64).Deeku (Deer): Jumps 6 steps at a time. This means Deeku will land on multiples of 6 (0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60).Robby: Yes, 64 is a multiple of 4 (4 x 16 = 64). Therefore, Robby will land exactly on 64.Deeku: No, 64 is not a multiple of 6. (60 is 6×10, and 66 is 6×11. 64 falls in between). So, Deeku will not land exactly on 64.Since Robby can land on 64 and Deeku cannot, Robby will be the one to reach ther food.

Question 4

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?
Which of his friends will he be able to meet if he jumps by 3 steps?

Accepted Answer

If Mowgli jumps by 3 steps, at 9 he met spider, at 12 he met frog, at 21 he met snake, at 30 he met bear, at 39 he met dear, and at 57 he met with monkey as 3 is a common factor of the numbers 9, 12, 21, 30, 39, and 57.Which numbers will he touch if he jumps by 5 steps?Solution:5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.5 is a common factor of the numbers .Solution:5 is a common factor of the numbers: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, …Which numbers will he touch if he jumps by 10 steps?Solution:10, 20, 30, 40,50.10 is a common factor of the numbers .Solution:10 is a common factor of the numbers: 10, 20, 30, 40, 50, 60, …

Question 5

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 b

Accepted Answer

(a)Yes, 2 is a common factor of 24 and 36.(b) Yes, 3 is a common factor of 24 and 36.(c) Yes, 4 is a common factor of 24 and 36.(d) Jumps other than 2, 3 and 4 we can take to reach both 24 and 36 are 6 and 12 because 6 and 12 are common factors of 24 and 36.(e) 1, 2, 3, 4, 6, and 12.(f) 1 is a factor of every number.

Question 6

What are the common factors of 12 and 13?

Accepted Answer

Common factors of 12 and 13 are only 1.

Source: This question is from Animal Jumps, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Animal Jumps: Common, Factors, Animal Jumps, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Animal JumpsQ1: Make different arrays for the following numbers. Identify the factors in each case. (a) 10
Q10: Sher Khan, the tiger, goes hunting every 3rd day. Bagheera, the panther, goes hunting every 5th...
Q11: (a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on...
Q2: Find 5 common multiples of the following pairs of numbers. (a) 2 and 3
Q3: Food is available at the end of a cobbled road. Robby, the rabbit, takes a jump of 4 each time....
Practice more questions from Animal Jumps &mdash; Mathematics, Class 5 CBSE

Question 7

Find which of the following numbers can be reached by jumps of 4 steps?
4 is the common factor of the numbers _____________________________.

Accepted Answer

4 is the common factor of the numbers 16, 36 and 48.

Source: This question is from Animal Jumps, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Animal Jumps: Numbers, Reached, Jumps, Steps, Common, Factor. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Animal JumpsQ1: Make different arrays for the following numbers. Identify the factors in each case. (a) 10
Q10: Sher Khan, the tiger, goes hunting every 3rd day. Bagheera, the panther, goes hunting every 5th...
Q11: (a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on...
Q2: Find 5 common multiples of the following pairs of numbers. (a) 2 and 3
Q3: Food is available at the end of a cobbled road. Robby, the rabbit, takes a jump of 4 each time....
Practice more questions from Animal Jumps &mdash; Mathematics, Class 5 CBSE

Question 8

Find the common factors of the following pairs of numbers.
(a) 12 and 16

Accepted Answer

Factors of 12: (1), (2), 3, (4), 6, and 12.Factors of 16: (1), (2), (4), 8, and 16.Common factors of 12 and 16 are: 1, 2 and 4.(b) 8 and 12Solution:Factors of 8: (1), (2), (4), and 8.Factors of 12: (T), (2), 3, (4), and 12.Common factors of 8 and 12 are: 1, 2, and 4(c) 4 and 16Solution:Factors of 4: (1), (2), and (4).Factors of 16: (1), (2), (4), 8, and 16. Common factors of 4 and 16 are: 1, 2 and 4(d) 2 and 9Solution:Factors of 2: (1), and 2 Factors of 9: (1), 3 and 9Common factor of 2 and 9 is only 1.(e) 3 and 5Solution:Factors of 3: (1) and 3.Factors of 5: (1) and 5.Common factor of 3 and 5 is only 1.(f ) 12 and 15Solution:Factors of 12: (1), (2), 3, 4, 6 and 12.Factors of 15: (1), (3), 5 and 15.Common factors of 12 and 15 are: 1 and 3.(f) 20 and 5Solution:Factors of 20: (1) 2, 4, (5) 10 and 20.Factors of 5: (1) and (5).Common factors of 20 and 5 are: 1 and 5.(g) 9 and 21Solution:Factors of 9: (1), (3) and 9.Factors of 21: (1), (3), 7 and 21.Common factors of 9 and 21 are: 1 and 3.(h) 6 and 27Solution:Factors of 6: (1), 2, (3) and 6.Factors of 27: (1), (3), 9 and 27.Common factors of 6 and 27 are: 1 and 3.What do you notice about the common factors of different pairs of numbers? Discuss in class.Solution:Do it yourself.

Question 9

State whether the following statements are true (T) or false (F). .
(a) Factors of even numbers must be even.

Accepted Answer

False(b) Multiples of odd numbers cannot be even.Solution:False(c) Factors of odd numbers cannot be even.Solution:True(d) One of the common multiples of two consecutive numbers is their product.Solution:True(e) The only common factor of any two consecutive numbers is 1.Solution:True(f) 0 cannot be a factor of any number.Solution:True

Question 10

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?

Accepted Answer

They will be hunting together on the days that are common multiples of 3 and 5.Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27,Multiples of 5: 5, 10, 15, 20, 25, 30…If both of them start on the same day then the first day they hunt together is on the 15th day. They will also hunt together on the 30th day, 45th day, and so on (multiples of 15).

Question 11

(a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on number 30. Mowgli wants to meet his friend Baloo the bear but wants to avoid Sher Khan’s house. How long (in steps) could each jump be?
(b) What number of jumps (in steps) he could choose so that he can meet both Kaa, the snake, at 21 and Akela, the wolf, at 35?

Accepted Answer

(a) Mowgli needs to choose a jump length that is a factor of 30 but NOT a factor of 25. Factors of 25: 1, 5, and 25 Factors of 30: 1, 2, 3, 5, 6, 10, 15, and 30Numbers that are factors of 30 but not factors of 25: 2, 3, 6, 10, 15, 30.Possible jump lengths Mowgli could choose: 2, 3, 6, 10, 15, 30.(b) Mowgli needs to choose a jump length that is a common factor of both 21 and 35.Factors of 21: (1), 3, (7), and 21Factors of 35: (1), 5, (7), and 35 Common factors of 21 and 35: 1 and 7.Possible jump’s length Mowgli could choose: 1 and 7.

Question 12

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.

Accepted Answer

(a) 22, 30, 38, 40, 56, 62, 66, 78, 84, 90.(b) 25, 30, 40, 45, 55, 75, 90, 95.(c) 30, 40, 90.(d) 30, 40, 90.

Source: This question is from Animal Jumps, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Animal Jumps: Sort, Numbers, Divisible, Animal Jumps, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Animal JumpsQ1: Make different arrays for the following numbers. Identify the factors in each case. (a) 10
Q10: Sher Khan, the tiger, goes hunting every 3rd day. Bagheera, the panther, goes hunting every 5th...
Q11: (a) In the trail shown earlier, Sher Khan’s house is on number 25 and that of Baloo the bear is on...
Q2: Find 5 common multiples of the following pairs of numbers. (a) 2 and 3
Q3: Food is available at the end of a cobbled road. Robby, the rabbit, takes a jump of 4 each time....
Practice more questions from Animal Jumps &mdash; Mathematics, Class 5 CBSE