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Worksheets

number system

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

 Express 2.4178Express\ 2.4\overline{178}    as a fraction in simplest form.

a)

12077 / 4995 

b)

12076/ 4999

2.

Determine if the product of  323\sqrt{2}  and  8188\sqrt{18}  is rational or irrational.

a)

Rational 

b)

Irrational 

3.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
4.

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

a)

3

b)

13

c)

17

d)

7

5.

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

a)

126/99

b)

127/99

c)

13/17

d)

17/13

6.

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

a)

-1

b)

1

c)

2

d)

0

7.

 (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  

8.

We can plot any real number on number line.

a)

True

b)

False

9.

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

10.

Real number consist of

a)

only rational numbers

b)

only irrational numbers

c)

neither rational nor irrational number

d)

both rational and irrational numbers

11.

 1515÷33=15\sqrt{15}\div3\sqrt{3}=  

a)

 535\sqrt{3}  

b)

 353\sqrt{5}  

c)

 555\sqrt{5}  

d)

 333\sqrt{3}  

12.

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

13.

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

a)

0.56

b)

0.056

c)

0.0056

d)

5.6

14.

 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}}  

15.

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

a)

1

b)

2

c)

3

d)

 12\frac{1}{2}  

16.

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

a)

an integer

b)

an irrational 

c)

a rational

d)

None of these

17.

 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}  

18.

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

a)

Rational

b)

Irrational

c)

imaginary

d)

complex

19.

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

a)

Natural

b)

Whole

c)

Rational

d)

Irrational

20.

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

a)

none

b)

one

c)

two

d)

infinite