wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Square and square root

Total questions: 61

Worksheet time: 42mins

Name
Class
Date
1.

The number of zeros at the end of the squares of 250 is

(a)  

2.

Square of 50 is?

(a)  

3.

The sum of n odd numbers is.

(a)  

4.

Which of the following cannot be the unit digit of a perfect square number?

a)

7

b)

9

c)

1

d)

6

5.

13²

a)

126

b)

199

c)

169

d)

159

6.

25²

a)

125

b)

625

c)

25

d)

175

7.

The sum of two perfect squares is a perfect square.

a)

true

b)

false

8.

Check if 65536 is a perfect square?

9.

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

a)

555^5  

b)

656^5  

c)

828^2  

d)

959^5  

10.

Without actually adding, find the sum of:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31

4 lines
11.

The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are

a)

35, 48

b)

36, 49

c)

36, 48

d)

35,49

12.

: Which of the following is not a perfect square?

a)

361

b)

1156

c)

1128

d)

1681

13.

Which of the following is the square of an odd number?

a)

256

b)

361

c)

144

d)

400

14.

Which of the following cannot be a perfect square?

a)

121

b)

490

c)

576

d)

None of the above

15.

The units digit in the square of 1294 is _________.

a)

9

b)

6

c)

1

d)

5

16.

Q1.Which of the following cannot be a perfect square?

a)

841

b)

529

c)

198

d)

None of the above

17.

(99)²=

a)

9999

b)

9989

c)

9801

d)

9810

18.

Is 40²=2(20)²

a)

Yes

b)

No

c)

Can't be determined

19.

Unit digit of 6² + unit digit of 16² =

a)

6

b)

4

c)

10

d)

12

20.

26²-25² =

a)

26+25

b)

26-25

c)

0

d)

1

e)

26×25

21.

[(15 + 16)²]÷[225+256+480]

a)

15+16

b)

15-16

c)

0

d)

1

22.

[(88)²-(22)²]÷[(88-22)]

a)

66

b)

100

c)

200

d)

44

23.

What is (39)² - (61)²

a)

2200

b)

2208

c)

-2208

d)

-2200

24.

Which of these will give a whole number

a)

Square root of 8

b)

Cube root of 27

c)

Square root of 64

d)

Square root of 525

25.

Which of these is not a perfect square

a)

1

b)

8

c)

4

d)

100

26.

Is 180 a perfect square?

a)

Yes

b)

No

27.

By what number would you divide 300, so that resulting number is a perfect square?

a)

3

b)

4

c)

5

d)

6

28.

Which of the following can not be a perfect square?

a)

146

b)

289

c)

377

d)

584

29.

Find the value of

10000\sqrt{10000}  

a)

10

b)

100

c)

1000

d)

500

30.

What is the square root of 324?

a)

16

b)

17

c)

18

d)

28

31.
7×7=72=49
a)
True
b)
False
32.
Select the answer with all perfect squares. 
a)
-144, 9, 50, 75, 81, 100
b)
9, 50, 75, 81, 100
c)
9, 50, 81, 100
d)
9, 81,100
33.
Write an equation for this phrase, "The square root of x is equal to 3."
a)
x2 = 3
b)
x2 = 9
c)
√x = 3
d)
√x = 9
34.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
35.
Which statement is NOT true?
a)
√169 = 13
b)
152 = 225
c)
42 = √16
d)
√164 = 18
36.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
37.
152
a)
196
b)
289
c)
256
d)
225
38.
√ 1
a)
1
b)
100
c)
10
d)
0
39.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
40.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

41.
√ 144
a)
4
b)
12
c)
16
d)
32
42.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

43.

(-6)2

a)

12

b)

-12

c)

-36

d)

36

44.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
45.

Which of the following will have 6 at unit place?

a)

192

b)

112

c)

242

d)

132

46.

when will 15 become 225?

a)

When squared

b)

when multiplied by itself

c)

when added by 210

d)

All of the above

47.

What will be the result after adding first 5 consecutive odd numbers?

a)

35

b)

25

c)

10

d)

56

48.

Why is 157 not a square number? Justify your answer

a)

The tens place is 2

b)

It is an Odd number

c)

The number ends with 7 in the unit place

d)

It does not sastisfy the property of Square Numbers

49.

Aptitude Test: What will be the result after adding the first 7 consecutive numbers.

a)

100

b)

15

c)

87

d)

28

50.

What is a Square Number?

a)

the product of a number multiplied by itself,

b)

the number multipled by 2

c)

The result you obtain after you multiply an integer by another integer

51.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
52.

Which statement is NOT true?

a)

√169 = 13

b)

152 = 225

c)

42 = √16

d)

√64 = 8

53.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
54.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
55.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
56.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
57.
The number 500...
a)
is a perfect square.
b)
is not a perfect square.
58.

If the prime factorization of a square number is

3x3x3x3x5x5x5x5 then the square root of the number is______

a)

155

b)

335

c)

115

d)

225

59.

What is the prime factorization of 7056

a)

2x2x3x3x7x7x3x3

b)

2x2x7x7x3x3x7x7

c)

2x2x2x2x3x3x7x7

d)

2x2x3x3x7x7x5x5

60.

 (14)2=\left(\frac{1}{4}\right)^2=  

a)

 18\frac{1}{8}  

b)

 116\frac{1}{16}  

61.

 25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?

a)

5

b)

10

c)

25