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Worksheets

Real Numbers

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

1. The decimal form of irrational number is

a)

 (a) terminating

b)

(b) non-termining

c)

(c) non-terminating non-repeating

d)

(d) none of the above

2.

2. HCF of 8, 9, 25 is

a)

(a) 8

b)

(b) 9

c)

(c) 25

d)

(d) 1

3.

3. Which of the following is not irrational?

a)

(a) (2 - √ 3)2

b)

(b) (√2 + √3)2

c)

 (c) (√2 -√3)(√2 + √3)

d)

(d) 2√7/7

4.

4. The product of a rational and irrational number is

a)

(a) rational

b)

(b) irrational

c)

(c) both of above

d)

(d) none of above

5.

5. The sum of a rational and irrational number is

a)

(a) rational

b)

(b) irrational

c)

(c) both of above

d)

(d) none of above

6.

6. The product of two different irrational numbers is always

a)

(a) rational

b)

(b) irrational

c)

(c) both of above

d)

(d) none of above

7.

7. The sum of two irrational numbers is always

a)

(a) irrational

b)

(b) rational

c)

(c) rational or irrational

d)

(d) one

8.

8. If b = 3, then any integer can be expressed as a =

a)

(a) 3q, 3q+ 1, 3q + 2

b)

(b) 3q

c)

(c) none of the above

d)

(d) 3q+ 1

9.

9. The set A = {0,1, 2, 3, 4, …} represents the set of

a)

(a) whole numbers

b)

(b) integers

c)

(c) natural numbers

d)

(d) even numbers

10.

10. Express 98 as a product of its primes

a)

(a) 22x7

b)

(b) 22x72

c)

(c) 2x72

d)

(d) 23x7

11.

11. For some integer p, every even integer is of the form

a)

(a) 2p + 1

b)

(b) 2p

c)

(c) p + 1

d)

(d) p

12.

12. For some integer p, every odd integer is of the form

a)

(a) 2p + 1

b)

(b) 2p

c)

(c) p + 1

d)

(d) p

13.

13. When a number is divided by 7, its remainder is always:

a)

(a) greater than 7

b)

(b) at least 7

c)

(c) less than 7

d)

(d) at most 7

14.

14. If LCM (77, 99) = 693, then HCF (77, 99) is

a)

(a) 11

b)

(b) 7

c)

(c) 9

d)

(d) 22

15.

15. Write an irrational number between 2 and 3.

a)

(a) 2.5

b)

(b) 2.001

c)

(c) 2.1333333456…

d)

(d) 2.13

16.

16. The decimal expansion of rational number is

a)

(a) terminating

b)

(b) non-terminating and non-recurring

c)

(c) none

d)

(d) does not exist.

17.

17. HCF of 26 and 91 is:

a)

(a) 15

b)

(b) 13

c)

(c) 19

d)

(d) 11

18.

18. Which of the following is not irrational?

a)

(a) (3 + √7)

b)

(b) (3 – √7)

c)

(c) (3 + √7) (3 – √7)

d)

(d) 3√7

19.

19. If p and q are integers and is represented in the form of p/q, then it is a:

a)

(a) Whole number

b)

(b) Rational number

c)

(c) Natural number

d)

(d) Even number

20.

20. The prime factorisation of 96 is

a)

(a) 25 × 3

b)

(b) 26

c)

(c) 24 × 3

d)

(d) 24 × 32