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Worksheets

Number Systems

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.

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

a)

none

b)

one

c)

two

d)

infinite

2.

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

a)

Natural

b)

Whole

c)

Rational

d)

Irrational

3.

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

a)

Rational

b)

Irrational

c)

imaginary

d)

complex

4.

 23\frac{2}{\sqrt{3}}  Rationalise the denominator:

a)

 23\frac{2}{3}  

b)

 33\frac{\sqrt{3}}{3}  

c)

 233\frac{2\sqrt{3}}{3}  

d)

 29\frac{2}{9}  

5.

 8+28+\sqrt{2}  is ..................... number

a)

an integer

b)

an irrational 

c)

a rational

d)

None of these

6.

 3x02x0+1\frac{3x^0-2}{x^0+1}  on simplification becomes

a)

1

b)

2

c)

3

d)

 12\frac{1}{2}  

7.

 7128127^{\frac{1}{2}}8^{\frac{1}{2}}  is equal to

a)

 (56)12\left(56\right)^{\frac{1}{2}}  

b)

 (28)12\left(28\right)^{\frac{1}{2}}  

c)

 (15)12\left(15\right)^{\frac{1}{2}}  

d)

 (42)12\left(42\right)^{\frac{1}{2}}  

8.

 561000\frac{56}{1000}  decimal form is

a)

0.56

b)

0.056

c)

0.0056

d)

5.6

9.

Every point on a number line represents

a)

a natural number

b)

a rational number

c)

one and only one real number

d)

an irrational number

10.

 1515÷33=15\sqrt{15}\div3\sqrt{3}=  

a)

 535\sqrt{3}  

b)

 353\sqrt{5}  

c)

 555\sqrt{5}  

d)

 333\sqrt{3}