Saturday, May 23, 2020

NCERT Solutions for Class 6 Mathematics Chapter 3 Playing with Numbers

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Exercise 3.1

Introduction

Introduction - "Playing with Numbers" Chapter 3 - Class 6th Maths


Q 1 - Ex 3.1 - Playing With Numbers - NCERT Maths Class 6th - Chapter 3

 Page No 50:

Question 1:

Write all the factors of the following numbers:
(a) 24 (b) 15 (c) 21
(d) 27 (e) 12 (f) 20
(g) 18 (h) 23 (i) 36

Answer:

(a) 24
24 = 1 × 24 24 = 2 × 12 24 = 3 × 8
24 = 4 × 6 24 = 6 × 4
∴Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24
(b) 15
15 = 1 × 15 15 = 3 × 5 15 = 5 × 3
∴Factors of 15 are 1, 3, 5, and 15
(c) 21
21 = 1 × 21 21 = 3 × 7 21 = 7 × 3
∴Factors of 21 are 1, 3, 7, and 21
(d) 27
27 = 1 × 27 27 = 3 × 9 27 = 9 × 3
∴Factors of 27 are 1, 3, 9, and 27
(e) 12
12 = 1 × 12 12 = 2 × 6 12 = 3 × 4 12 = 4 × 3
∴Factors of 12 are 1, 2, 3, 4, 6, and 12
(f) 20
20 = 1 × 20 20 = 2 × 10 20 = 4 × 5 20 = 5 × 4
∴Factors of 20 are 1, 2, 4, 5, 10, and 20
(g) 18
18 = 1 × 18 18 = 2 × 9 18 = 3 × 6 18 = 6 × 3
∴Factors of 18 are 1, 2, 3, 6, 9, and 18
(h) 23
23 = 1 × 23 23 = 23 × 1
∴ Factors of 23 are 1 and 23
(i) 36
36 = 1 × 36 36 = 2 × 18 36 = 3 × 12 36 = 4 × 9
36 = 6 × 6
∴Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36


Q 2 - Ex 3.1 - Playing With Numbers - NCERT Maths Class 6th - Chapter 3

Question 2:

Write first five multiplies of:
(a) 5 (b) 8 (c) 9

Answer:

(a) 5 × 1 = 5 5 × 2 = 10 5 × 3 = 15 5 × 4 = 20 5 × 5 = 25
∴ The required multiples are 5, 10, 15, 20, and 25.
(b) 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40
∴ The required multiples are 8, 16, 24, 32, and 40.
(c) 9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45
∴ The required multiples are 9, 18, 27, 36, and 45.



Q 3 - Ex 3.1 - Playing With Numbers - NCERT Maths Class 6th - Chapter 3

Question 3:

Match the items in column 1 with the items in column 2.
Column 1
Column 2
(i) 35(a) Multiple of 8
(ii) 15(b) Multiple of 7
(iii) 16(c) Multiple of 70
(iv) 20(d) Factor of 30
(v) 25(e) Factor of 50
–
(f) Factor of 20

Answer:

Column 1
Column 2
(i) 35(b) Multiple of 7
(ii) 15(d) Factor of 30
(iii) 16(a) Multiple of 8
(iv) 20(f) Factor of 20
(v) 25(e) Factor of 50

Q 4 - Ex 3.1 - Playing With Numbers - NCERT Maths Class 6th - Chapter 3

Page No 51:

Question 4:

Find all the multiples of 9 up to 100.

Answer:

9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45
9 × 6 = 54 9 × 7 = 63 9 × 8 = 72 9 × 9 = 81 9 × 10 = 90
9 × 11 = 99
Therefore, the multiples of 9 up to 100 are
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99

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