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Worksheets

Perfect Squares and Perfect Cubes

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

∛216

a)

6

b)

72

c)

108

d)

4

2.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

3.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

4.

√134 is between which two perfect squares?

a)

11 and 12

b)

10 and 11

c)

9 and 10

d)

8 and 9

5.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

6.

∛512

a)

8

b)

7

c)

9

d)

6

7.

∛729

a)

9

b)

8

c)

7

d)

10

8.

∛27

a)

3

b)

2

c)

4

d)

9

9.

∛64

a)

4

b)

5

c)

6

d)

3

10.

√63 is closest to which perfect square?

a)

8

b)

7

c)

9

d)

63

11.

Which number is both a perfect square and perfect cube?

a)

4

b)

64

c)

125

d)

8

12.

Choose every value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

13.

√ 64

a)

4

b)

6

c)

9

d)

8

14.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

15.

What is the square root of 289?

a)

13

b)

140

c)

17

d)

18

16.

√625

a)

16

b)

25

c)

23

d)

19

17.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

18.

121 = ______

a)

112

b)

12

c)

11

d)

112

19.

132 = ______

a)

225

b)

196

c)

169

d)

166

20.
a)
√32, √324, √101, √44
b)
√64, √121, √324, √361
c)
√64, √324, √361, √44
d)
√32, √44, √101, √64