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square and square roots class 8

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

The least number by which 675 should be divided to make it a perfect square is (a)  

2.

The smallest number that should be subtracted from 5839 to make it a perfect square is (a)  

3.

Which is an example of difference of two squares?

a)

( x3 - 4)

b)

( x2 - 3)

c)

( x2 + 4)

d)

( x2 - 4)

4.

The prime factors of 405 are:

a)

9 X 9 X 5

b)

3 X 9 X 5

c)

3 X 3 X 3 X 3 X 5

5.

Which statement is NOT true?

a)

√169 = 13

b)

152 = 225

c)

42 = √16

d)

√324 = 18

6.

The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 is

a)

64

b)

81

c)

56

d)

49

7.

What is the value of 1.44\sqrt{1.44}  


a)

1.2

b)

0.12

c)

12

8.

Find the value of 248 +52 + 144\sqrt[]{248\ +\sqrt[]{52\ +\ \sqrt[]{144}}}  

a)

-16

b)

±16\pm16  

c)

16

d)

16.2

9.

What is the least number by which 384 should be multiplied to make it a perfect square?

a)

2

b)

6

c)

3

10.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
11.
The area of a square is 117 square meters. Which best represents the length of a side of the square? 
a)
10.8 m
b)
11 m
c)
10 m
d)
11.2 m
12.
The area of a square painting is 81 cm2.  What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
13.

Which is the greatest 4-digit perfect square?

a)

(a) 9999

b)

(b) 9990

c)

(c) 9800

d)

(d) 9801

14.

1. Which is the greatest three-digit perfect square?

a)

(a) 999

b)

(b) 961

c)

(c) 962

d)

(d) 970

15.

The square of which of the following would be even number?


a)

(a ) 2826

b)

( b ) 7779

c)

( c ) 1057

d)

( d ) 131

16.

The square of which of the following would be odd number?


a)

( a) 431

b)

( b) 272

c)

( c) 1234

d)

( d ) 7928

17.

What will be the number of zeros in the square of 400 ?


a)

( a) 5

b)

( b) 1

c)

( c ) 3

d)

( d ) 4

18.

The perfect square number between 30 and 40 is :


a)

( a) 35

b)

( b ) 39

c)

( c ) 36

d)

( d ) 32

19.

In a school parade, students will have to form a square if there are 735 students in the school . How many students won't be a part of it?

a)

14

b)

24

c)

6

d)

8

20.

Rahul’s age is two more than the square root of the age of Mohan’s father. Mohan’s father is 64 years old.Find Rahuls age.

a)

14

b)

24

c)

10

d)

8