CBSE Class 5 Mathematics Chapter 6: Be My Multiple, I'll Be Your Factor - NCERT Solutions
This chapter, 'Be My Multiple, I'll Be Your Factor,' for CBSE Class 5 Mathematics, introduces fundamental concepts of multiples and factors. The NCERT Solutions provide a clear and detailed approach to understanding how numbers relate to each other through multiplication and division. Students will learn to identify multiples of given numbers and find common multiples, which are essential building blocks for more advanced arithmetic. The solutions break down problems into manageable steps, helping young learners grasp the logic behind finding factors and multiples. This chapter is crucial for developing number sense and problem-solving skills. These solutions are designed to aid students in mastering these concepts, ensuring a strong foundation for future mathematical learning and effective exam revision.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Chapter 6 |
Chapter summary
Chapter 6, 'Be My Multiple, I'll Be Your Factor,' focuses on introducing students to the concepts of multiples and factors in a relatable context. The NCERT Solutions cover identifying multiples of numbers, understanding how jumps on a number line represent multiples, and finding common multiples between two sequences. The exercises are designed to build a foundational understanding of these number relationships, preparing students for more complex arithmetic operations. The solutions offer clear, step-by-step guidance to solve problems involving these concepts.
Learning outcomes
- Understand the concept of multiples and factors.
- Identify multiples of a given number.
- Determine common multiples of two or more numbers.
- Solve problems involving jumps on a number line related to multiples.
- Apply the concepts of multiples and factors to real-life scenarios.
PDF preview
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Questions and Solutions
CHAPTER – 6
BE MY MULTIPLE, I'LL BE YOUR FACTOR
Page No 87:
Question 1: The hungry cat is trying to catch Kunjan the mouse. Kunjan is now on the 14th step and it can jump 2 steps at a time. The cat is on the third step. She can jump 3 steps at a time. If the mouse reaches 28 it can hide in the hole. Find out whether the mouse can get a way safely!
- The steps on which the mouse jumps
- The steps on which the cat jumps.
- The steps on which both the cat and the mouse jump
- Can the mouse get away?
12
14 18 19 20 21 22 23
Find out If the cat starts from the 5th step and jumps five steps at a time and the mouse starts from the 8th step and jumps four steps at a time, can the mouse get away?
Answer:
- The steps on which the mouse jumps <u>16</u>, <u>18</u>, <u>20</u>, <u>22</u>, <u>24</u>, <u>26</u>, <u>28</u>
- The steps on which the cat jumps <u>6</u>, <u>9</u>, <u>12</u>, <u>15</u>, <u>18</u>, <u>21</u>, <u>24</u>, <u>27</u>
- The steps on which both the cat and the mouse jump 18 and 24
- Yes, the mouse can get away.
If the cat starts from 5th step, and jumps 5 steps at a time, the cat will reach 10, 15, 20 and 25 steps. If the mouse starts from 8th step, and jumps 4 steps at a time, the mouse will reach 12, 16, 20 and 24 steps.
So, the cat will easily be able to catch the mouse at step 20. This time, the mouse cannot get away.
Page No 88:
Question 1:
2 5
26 30 57
Common mistakes
- Confusing multiples with factors.
- Incorrectly calculating the next multiple in a sequence.
- Missing common multiples when comparing two sequences.
- Errors in identifying the starting point or jump size in word problems.
Revision tips
- Practice identifying multiples by counting in steps.
- Use a number line to visualize jumps and find common steps.
- Create your own scenarios involving multiples and factors.
- Review the definitions of multiple and factor regularly.
Practice MCQs
Q1. If a mouse jumps 2 steps at a time starting from step 14, which step will it land on next?
Explanation: The mouse starts at step 14 and jumps 2 steps at a time. So, the next step will be 14 + 2 = 16.
Q2. A cat jumps 3 steps at a time starting from step 3. Which step will it land on after its second jump?
Explanation: The cat starts at step 3. First jump: 3 + 3 = 6. Second jump: 6 + 3 = 9. So, it lands on step 9.
Q3. What are the common steps where both a cat and a mouse might land if one jumps 2 steps and the other jumps 3 steps?
Explanation: The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18... The multiples of 3 are 3, 6, 9, 12, 15, 18... The common steps are 6, 12, 18.
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