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Perfect Squares & Cubes Review

Total questions: 79

Worksheet time: 1hrs 19mins

Name
Class
Date
1.
12
a)
1
b)
2
c)
12
d)
3
2.
22
a)
2
b)
4
c)
6
d)
8
3.
32
a)
3
b)
6
c)
9
d)
5
4.
42
a)
4
b)
6
c)
8
d)
16
5.
52
a)
10
b)
7
c)
25
d)
52
6.
62
a)
36
b)
12
c)
8
d)
62
7.
72
a)
7
b)
14
c)
49
d)
72
8.
82
a)
82
b)
84
c)
64
d)
16
9.
92
a)
18
b)
81
c)
36
d)
64
10.
102
a)
20
b)
10
c)
1000
d)
100
11.
112
a)
121
b)
110
c)
22
d)
131
12.
122
a)
120
b)
122
c)
144
d)
114
13.
132
a)
196
b)
133
c)
131
d)
169
14.
142
a)
196
b)
169
c)
141
d)
28
15.
152
a)
250
b)
255
c)
30
d)
225
16.
162
a)
169
b)
256
c)
160
d)
234
17.
172
a)
256
b)
171
c)
289
d)
270
18.
182
a)
324
b)
181
c)
345
d)
245
19.
192
a)
290
b)
192
c)
136
d)
361
20.
202
a)
200
b)
400
c)
440
d)
202
21.
√ 16 
a)
8
b)
3
c)
4
d)
6
22.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
23.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
24.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
25.
196
a)
Is a perfect square.
b)
Is not a perfect square.
26.
What is the square root of 4?
a)
9
b)
4
c)
2
d)
10
27.
Which statement is NOT true?
a)
√169 = 13
b)
152 = 225
c)
42 = √16
d)
√164 = 18
28.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
29.
65
a)
Is a perfect square.
b)
Is not a perfect square.
30.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
31.
What is the square root of 49?
a)
6
b)
7
c)
8
d)
9
32.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
33.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
34.
√ 64
a)
4
b)
6
c)
9
d)
8
35.

What is

 81\sqrt{81}  



(a)  

36.

What is

 16\sqrt{16}  



(a)  

37.

Select all of the perfect squares

a)

1

b)

2

c)

4

d)

6

e)

9

38.

Select all of the perfect squares.

a)

10

b)

16

c)

25

d)

36

e)

40

39.

Select all of the perfect squares.

a)

42

b)

49

c)

55

d)

64

e)

70

40.

Select all of the perfect squares.

a)

80

b)

81

c)

100

d)

104

e)

121

41.

Select all of the perfect squares.

a)

135

b)

144

c)

150

d)

169

e)

196

42.

What is the length of the side of a square whose area is 

 144 in.2144\ in.^2  

a)

72 in.

b)

36 in.

c)

12 in.

43.

What is the length of the side of a square whose area is 81 in.281\ in.^2  


a)

20 in.

b)

8 in.

c)

9 in.

44.

Find the area of a square whose side length is 10 cm.

a)

40 cm.240\ cm.^2

b)

50 cm250\ cm^2

c)

100 cm2100\ cm^2

d)

1,000 cm21,000\ cm^2

45.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
46.
What is the Square Root of 289?
a)
17
b)
16
c)
15
d)
18
47.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
48.
500
a)
Is a perfect square.
b)
Is not a perfect square.
49.
196
a)
Is a perfect square.
b)
Is not a perfect square.
50.
125
a)
Is a perfect square.
b)
Is not a perfect square.
51.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

52.

Identify each value that is a perfect cube:

a)

300

b)

72

c)

525

d)

216

53.

Find the cube root of 729:

a)

9

b)

81

c)

243

54.

Find the cube root of 125:

a)

41.67

b)

25

c)

5

55.

Find the cube root of -1,331:

a)

-121

b)

-11

c)

-443.67

56.

What is 2 cubed?

23

a)

8

b)

6

c)

4

d)

16

57.

What is 5 cubed?

53

a)

125

b)

25

c)

15

d)

625

58.

The number 512 is a perfect cube because 512 = 83.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

59.

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

a)

64

b)

27

c)

81

d)

16

60.
∛8
a)
2
b)
4
c)
1
d)
64
61.
∛1000
a)
10
b)
9
c)
8
d)
11
62.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
63.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
64.
∛216
a)
6
b)
72
c)
108
d)
4
65.

What is -9 cubed?

(-9)3

a)

-729

b)

729

c)

27

d)

-27

66.

 (1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

 827\frac{8}{27}  

b)

 89\frac{8}{9}  

c)

 49\frac{4}{9}  

d)

 43\frac{4}{3}  

67.

Select all perfect cubes

a)

2

b)

8

c)

27

d)

64

e)

9

68.

What is 15³ ?

(a)  

69.

What is 18³ ?

(a)  

70.

What is 6³ ?

(a)  

71.

What is 14³ ?

(a)  

72.

What is 8³ ?

(a)  

73.

What is 12³ ?

(a)  

74.

What is 19³ ?

(a)  

75.

What is 17³ ?

(a)  

76.

What is 4³ ?

(a)  

77.

What is ∛2,197 ?

(a)  

78.

What is ∛1,331 ?

(a)  

79.

What is ∛8,000 ?

(a)  

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