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Worksheets

Finding Square Roots and Cube Roots to Solve Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

2.

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

3.

Solve for p when p2 = 100.

a)

1,000

b)

10

c)

0.10

d)

-0.10

4.

Write an equation for this phrase, "2 cubed is equal to the square root of x." 

a)

23 = √x

b)

22 = √x

c)

4 = √16

d)

√x = 2

5.
a)

8

b)

9

c)

7

d)

6

6.
a)

25

b)

125

c)

625

d)

50

7.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

8.

Find the value of y.

Hint: Take the cube root!

(a)  

Choose from the below words

5 = y

15 = y

20 = y

25 = y

9.

∛8 = ?

a)

2

b)

24

c)

3.14

d)

64

10.

Find the value of y.

Hint: Take the cube root!

(a)  

Choose from the below words

5 = y

15 = y

20 = y

25 = y

11.

Approximate the square root to the tenths place:  √52

a)

7.2

b)

7.3

c)

7.1

d)

7.5

12.

(cube root of 8) 

a)

2

b)

±2\pm2  

c)

-2

d)

None of the above 

13.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

14.

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

15.

√121

a)

10

b)

11

c)

12

d)

13

16.

√144

a)

10

b)

11

c)

12

d)

13

17.

The square root of 256 is...

a)

15

b)

18

c)

13

d)

16

18.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

19.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

20.

Square root of 16 is....

a)

8

b)

4

c)

2

d)

3