Free Printable Real numbers

1.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

2.

The fundamental theorem of arithmetic states about _________

a)

Prime numbers

b)

Composite numbers

c)

Co-prime numbers

d)

None of the above

3.

Which of the following is not irrational?

a)

$\pi$

b)

$\frac{22}{7}$

c)

$\sqrt{0.4}$

d)

16.425871236....

4.

Rational numbers are denoted by

a)

N

b)

W

c)

Z

d)

Q

5.

Which of the following are coprimes

a)

4,6

b)

8,9

c)

5,10

d)

10,12

6.

H.C.F. of any two prime numbers is (a)

7.

Express 98 as a product of its primes

a)

(a) 2² × 7

b)

(b) 2² × 7²

c)

(c) 2 × 7²

d)

(d) 23 × 7

8.

According to the Fundamental Theorem of Arithmetic, if p (a prime number) divides b² and b is positive, then _________.

a)

(a) b divides p

b)

(b) b²divides p

c)

(c) p²divides b²

d)

(d) p divides b

9.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

10.

a)

Rational, Integer

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

11.

20. The prime factorisation of 96 is

a)

(a) 2⁵ × 3

b)

(b) 2⁶

c)

(c) 2⁴ × 3

d)

(d) 2⁴ × 32

12.

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

13.

10. Express 98 as a product of its primes

a)

(a) 2²x7

b)

(b) 2²x7²

c)

(c) 2x7²

d)

(d) 2³x7

14.

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

15.

For a∈N, HCF of a, a+1 is

a)

a(a+1)

b)

a

c)

a+1

d)

1

16.

If 'b' is factor of 'a' where a≠b, then HCF of (a,b)

a)

a

b)

b

c)

ab

d)

'a' or 'b'

17.

If √p is rational, then 'p' must be

a)

Prime number

b)

Composite number

c)

Perfect square

d)

Odd number

18.

HCF of smallest prime and smallest composite number

a)

1

b)

2

c)

3

d)

4

19.

Which of the following is not irrational?

a)

$\pi$

b)

$\frac{22}{7}$

c)

$\sqrt{0.4}$

d)

16.425871236....

20.

Rational numbers are written in the form of p/q. How many common factors can they have?

a)

2

b)

1

c)

Infinite

d)

None

Real numbers

Total questions: 20

Worksheet time: 12mins

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