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Worksheets

Number system

Total questions: 17

Worksheet time: 9mins

Name
Class
Date
1.

Natural Numbers are denoted by

a)

N

b)

Z

c)

W

d)

Q

2.

Which of the following is an Irrational number

a)

0.236

b)

√2

c)

0.3333-----

d)

3/4

3.

Find the value of x, if 3(x10)= 273^{\left(x-10\right)}=\ 27  

a)

3

b)

13

c)

17

d)

7

4.

1.27272727....... can be expressed in p/q form as

a)

126/99

b)

127/99

c)

13/17

d)

17/13

5.

On rationalisation the denominator of  12+3\frac{1}{2+\sqrt{3}}  will be

a)

-1

b)

1

c)

2

d)

0

6.

 (a+b)(ab)\left(a+\sqrt{b}\right)\left(a-\sqrt{b}\right)  is equals to

a)

 aba-b  

b)

 a2b2a^2-b^2  

c)

 a2ba^2-b  

d)

 ab2a-b^2  

7.

We can plot any real number on number line.

a)

True

b)

False

8.

In between two rational number there is/are

a)

One rational number

b)

Two irrational numbers

c)

Infinitely many rational numbers

d)

only irrational number exist

9.

Real number consist of

a)

only rational numbers

b)

only irrational numbers

c)

neither rational nor irrational number

d)

both rational and irrational numbers

10.
The decimal representation of √2 is_____
a)
A finite decimal
b)
1.41421
c)
Non-terminating and non-repeating
d)
Non-terminating and recurring
11.

3.14159265 is ...................... number.

a)

Natural

b)

Whole

c)

Rational

d)

Irrational

12.
a)
a)
b)
b)
c)
c)
d)
d)
13.

Can √4.7 be represented on a number line geometrically ?

a)

Yes

b)

No

14.
The product of two irrational number is always_____
a)
An irrational number 
b)
A rational number 
c)
Sometimes rational, sometimes irrational
d)
An integer
15.
Decimal representation of a rational number cannot be_____
a)
Terminating
b)
Non-terminating
c)
Non-terminating and repeating
d)
Non-terminating and non-repeating
16.

 π\pi  is ......................... number.

a)

Rational

b)

Irrational

c)

imaginary

d)

complex

17.

There are .................. rational numbers between any two rational numbers.

a)

none

b)

one

c)

two

d)

infinite