# Playing With Numbers – Chapter 3/CBSE Class 6 Maths/Worksheet

**Playing With Numbers – Chapter 3/CBSE Class 6 Maths/Worksheet is about the important questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 6 Mathematics. This worksheet is designed for CBSE Class 6 students.**

**CBSE Class 6 Mathematics/Playing With Numbers – Chapter 3**

**Important Questions for CBSE Class 6 Mathematics/Model Questions**

**Fill in the blanks:**

1. If a number ends with 5, it is divisible by ————-

2. ———- is a factor of all numbers.

3. The smallest prime number is ——————–

4. The highest factor of 32 is —————–

5. A number is divisible by —– if it is divisible by 2 and 3.

**Answer the following:**

6. Check if 4563 is divisible by 5?

7. Find the HCF of 5 and 14?

8. Write first 5 multiples of 30?

9. Write all the factors of 36?

10. Find first three common multiples of 4 and 6.

11. Write all prime numbers below 50.

12. Express 30 as the sum of three prime numbers.

13. Express 36 as the sum of twin primes.

14. Check the divisibility of 765204 by 11.

15. Find the HCF of 12 and 18 by Prime factorization method.

**ANSWERS:**

1. 5

2. One

3. Two

4. 32

5. 6

6. A number is divisible by 5 if its last digit is 0 or 5.

Last digit of 4563 is not 5 or 0. So it is not divisible by 5.

7. Since 5 and 14 are co-prime numbers, their HCF is 1.

8. First 5 multiples of 30 are 30, 60, 90, 120 and 150.

9. Factor pairs of 36 are 1 x 36, 2 x 18, 3 x 12, 4 x 9 and 6 x 6.

So factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

10. Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40………

Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ……………

First 3 common multiples are 12, 24 and 36.

11. Prime numbers below 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

12. 30 = 23 + 5 + 2

13. 36 = 17 + 19

14. 765204

Sum of digits at odd places = 4 + 2 + 6 = 12

Sum of digits at even places = 0 + 5 + 7 = 12

Difference = 12 – 12 = 0

Hence 765204 is divisible by 11.

15. Prime factorization of 12 is 2 x 2 x 3.

Prime factorisation of 18 is 2 x 3 x 3.

Hence HCF = 2 x 3 = 6