# Playing With Numbers – Class 6.

Chapter 3 of NCERT/CBSE Class 6 Mathematics is about Playing With Numbers. Here in this lesson you can find practice problems for this chapter.

MODEL QUESTIONS FOR CLASS 6 MATHEMATICS
Playing With Numbers – Chapter 3
Choose the correct answer from the options given below:

1. Which of the following is a factor of 70?
A. 8
B. 9
C. 10
2. Which of the following is a multiple of 12?
A. 12
B. 20
C. 32
3. Which of the following is not a prime number?
A. 31
b. 41
c. 51
4. Which is the only prime number between 90 and 100?
A. 93
B. 95
C. 97
5. The HCF of two consecutive odd numbers is ————-
A. 1
B. 2
C. 3
Fill in the blanks:
6. If a number has 0 in the ones place then it is divisible by ———-
7. If the sum of the digits is a multiple of 3, then the number is divisible by ——
8. The HCF of two consecutive even numbers is ————
9. The LCM of 9 and 4 is ————-
10. The HCF of 4 and 15 is ———–
11. Write all factors of 50?
12. Write first five multiples of 100?
13. Express the following as the sum of two odd primes?
a) 74
b) 36
14. Write the greatest 4- digit number and express it in terms of its prime factors.
15. Using divisibility tests, determine 61809 is divisible by 11?

1. 10
2. 12
3. 51
4. 97
5. 1
6. 10
7. 3
8. 2
9. 36
10. 1
11. Factor pairs are 1 x 50, 2 x 25, and 5 x 10.
So the factors are 1, 2, 5, 10, 25, and 50.
12. Multiples of 100 are 100, 200, 300, 400, 500…..
13. a) 74 = 71 + 3
b) 36 = 23 + 13
14. Greatest 4 digit number is 9999.
Its prime factors are 3 x 3 x 11 x 101.
15. Sum of the digits at odd places from right = 9 + 8 + 6 = 23
Sum of the digits at even places from right = 0 + 1 = 1
Difference = 23 – 1 = 22, which is divisible by 11.
Therefore, 61809 is divisible by 11.