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AM015 REAL NUMBER

Total questions: 15

Worksheet time: 19mins

Name
Class
Date
1.

 23+ 32\sqrt{3}+\ \sqrt{3}  is equal to 

a)

 262\sqrt{6}  

b)

6

c)

 333\sqrt{3}  

d)

 464\sqrt{6}  

2.

 10 ×5\sqrt{10}\ \times\sqrt{5}  is equal to

a)

 15\sqrt{15}  

b)

 150\sqrt{150}  

c)

 50\sqrt{50}  

d)

5

3.

The number obtained on rationalizing the denominator of  17−2\frac{1}{\sqrt{7}-2}  is

a)

 7+23\frac{\sqrt{7}+2}{3}  

b)

 7−23\frac{\sqrt{7}-2}{3}  

c)

 7+25\frac{\sqrt{7}+2}{5}  

d)

 7−25\frac{\sqrt{7}-2}{5}  

4.

 19−8\frac{1}{\sqrt{9}-\sqrt{8}}  is equal to

a)

 9−8\sqrt{9}-\sqrt{8}  

b)

 9−81\frac{\sqrt{9}-\sqrt{8}}{1}  

c)

 3−83-\sqrt{8}  

d)

 3+83+\sqrt{8}  

5.

After rationalize the denominator of  733−22\frac{7}{3\sqrt{3}-2\sqrt{2}} , we get the denominator as 

a)

13

b)

19

c)

5

d)

37

6.

The number obtained on rationalizing the denominator of  33\frac{3}{\sqrt{3}}  is

a)

3

b)

 33\frac{\sqrt{3}}{3}  

c)

 3\sqrt{3}  

d)

 333\sqrt{3}  

7.

 a−1a^{-1}  is equal to 

a)

a

b)

1

c)

0

d)

 1a\frac{1}{a}  

8.

 (312)13\left(3^{\frac{1}{2}}\right)^{\frac{1}{3}}  is equal to

a)

 3123^{\frac{1}{2}}  

b)

 3133^{\frac{1}{3}}  

c)

 3153^{\frac{1}{5}}  

d)

 3163^{\frac{1}{6}}  

9.

-0.775 is a

a)

Irrational Number

b)

Whole Number

c)

Integer

d)

Rational Number

10.

 3\sqrt{3}  is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

11.

 π \pi\   and 1.234567890... is considered a...

a)

irrational number

b)

rational number

c)

Natural number

d)

Whole number

12.

All natural (counting) numbers are..

a)

Whole numbers

b)

Whole numbers, integers

c)

Whole numbers, integers, rational numbers

d)

Whole numbers, integers, rational numbers and irrational numbers

13.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
14.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
15.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3