Free Printable Perfect Squares & Square Roots

1.

√ 16

a)

8

b)

3

c)

4

d)

6

2.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

3.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

4.

17² =

a)

34

b)

289

c)

225

d)

324

5.

11²=

a)

22

b)

44

c)

144

d)

121

6.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

7.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

8.

196

a)

Is a perfect square.

b)

Is not a perfect square.

9.

125

a)

Is a perfect square.

b)

Is not a perfect square.

10.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

11.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

12.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

13.

What is $1^2$ ?

a)

1

b)

4

c)

9

d)

2

14.

What is $20^2$ ?

a)

324

b)

361

c)

400

15.

What is $\sqrt[]{196}$ ?

a)

14

b)

13

c)

12

16.

What is $\sqrt[]{169}$ ?

a)

11

b)

12

c)

13

17.

What is $\sqrt[]{324}$ ?

a)

18

b)

20

c)

16

18.

$\sqrt[]{9}$

(a)

19.

Which of the following represents 4² ?

a)

b)

c)

d)

20.

What is $\sqrt[]{100}$ ?

a)

10

b)

100

c)

200

d)

1

21.

What is $\sqrt[]{36}$ ?

a)

36

b)

6

c)

18

d)

72

22.

What is $\sqrt[]{81}$ ?

a)

40.5

b)

9

c)

81

d)

162

23.

What is $\sqrt[]{144}$ ?

a)

144

b)

144

c)

12

d)

288

24.

What is $\sqrt[]{64}$ ?

a)

64

b)

8

c)

32

d)

128

25.

What is $7^2$ ?

a)

7

b)

14

c)

21

d)

49

26.

What is $\sqrt[]{121}$ ?

a)

60.5

b)

11

c)

12

d)

121

27.

What is $9^2$ ?

a)

9

b)

18

c)

81

d)

36

28.

What is $10^2$ ?

a)

100

b)

10

c)

20

d)

40

29.

What is $\sqrt[]{1}$ ?

a)

1

b)

2

c)

10

d)

0

30.

What is $11^2$ ?

a)

22

b)

11

c)

121

d)

44

31.

What is $12^2$ ?

a)

24

b)

48

c)

12

d)

144

32.

What is $\sqrt[]{25}$ ?

a)

5

b)

50

c)

25

d)

12.5

33.

1²

a)

1

b)

2

c)

0

d)

-1

34.

2²

a)

2

b)

4

c)

5

d)

6

35.

6²

a)

36

b)

12

c)

25

d)

42

36.

14²

a)

169

b)

196

c)

28

d)

144

37.

8²

a)

68

b)

64

c)

16

d)

56

38.

15²

a)

196

b)

289

c)

256

d)

225

39.

√ 64

a)

4

b)

6

c)

9

d)

8

40.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

41.

144

a)

Is a perfect square.

b)

Is not a perfect square.

42.

65

a)

Is a perfect square.

b)

Is not a perfect square.

43.

What is a perfect square?

a)

A number divided by 4

b)

A number multiplied by itself

c)

A number multiplied by 2

44.

What is the square root of 64?

a)

32

b)

128

c)

8

d)

16

45.

What is 9²?

a)

18

b)

7

c)

11

d)

81

46.

What is the formula for area?

(a)

47.

If Lucy's square garden has a total perimeter of 12ft, how big is the inside (area) part of the garden?

a)

9ft²

b)

3ft²

c)

36ft²

d)

12ft²

48.

$\sqrt{400}$

a)

20

b)

100

c)

4

d)

3

49.

All sides of a square are (a)

50.

You divide the area by 2 to figure out the side of a square.

a)

True

b)

False

51.

Tucker wants to figure out how big a room is so that he can decide how many tables can fit. He gets a tape measure out and measure the length and the width of the room. Afterwards, he realizes that the length and width are the same number, which means the room is a square. If the number was 11ft, what is the area of the room?

a)

121ft²

b)

22ft²

c)

119ft²

52.

What is 4² ?

(a)

53.

What is 7² ?

(a)

54.

What is 3² ?

(a)

55.

What is 18² ?

(a)

56.

What is 9² ?

(a)

57.

What is 20² ?

(a)

58.

What is 13² ?

(a)

59.

What is 16² ?

(a)

60.

What is 1² ?

(a)

61.

What is 19² ?

(a)

62.

What is √4 ?

(a)

63.

What is √121 ?

(a)

64.

What is √36 ?

(a)

65.

What is √144?

(a)

66.

What is √225 ?

(a)

67.

What is √64 ?

(a)

68.

What is √100 ?

(a)

69.

What is √289 ?

(a)

70.

What is √25 ?

(a)

71.

What is √196 ?

(a)

72.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

73.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

74.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

75.

Select all of the perfect squares

a)

1

b)

2

c)

4

d)

6

e)

9

76.

Select all of the perfect squares.

a)

10

b)

16

c)

25

d)

36

e)

40

77.

Select all of the perfect squares.

a)

42

b)

49

c)

55

d)

64

e)

70

78.

Select all of the perfect squares.

a)

80

b)

81

c)

100

d)

104

e)

121

79.

Select all of the perfect squares.

a)

135

b)

144

c)

150

d)

169

e)

196

80.

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

144\ in.^2

a)

72 in.

b)

36 in.

c)

12 in.

81.

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

a)

20 in.

b)

8 in.

c)

9 in.

82.

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

a)

$40\ cm.^2$

b)

$50\ cm^2$

c)

$100\ cm^2$

d)

$1,000\ cm^2$

83.

List the first five perfect squares.

a)

1, 4, 9, 16, 25

b)

1, 2, 3, 4, 5

c)

2, 4, 6, 8, 10

d)

3, 6, 9, 12, 15

84.

Which number is a perfect square: 50, 64, 70?

a)

50

b)

64

c)

70

d)

81

85.

What is the square root of 1?

a)

0

b)

1

c)

2

d)

-1

86.

Which of the following is not a perfect square: 110, 4, 1, 81?

a)

110

b)

4

c)

1

d)

81

87.

True or False.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

88.

Which grids represent a perfect square?

a)

b)

c)

d)

e)

89.

Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

90.

Identify all of the following that are NOT perfect squares.

a)

61

b)

8

c)

100

d)

4

e)

224

91.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = 16

d)

√164 = 18

92.

Which contains a list of perfect squares?

a)

20, 24, 36, 48

b)

25, 36, 49, 64

c)

34, 48, 64, 81

d)

36, 49, 62, 84

93.

$\sqrt[]{144}\ =\$

a)

3

b)

7

c)

9

d)

12

94.

$\sqrt[]{9}\ =\$

a)

3

b)

7

c)

9

d)

12

95.

$\sqrt[]{81}\ =\$

a)

3

b)

7

c)

9

d)

12

96.

$\sqrt[]{49}\ =\$

a)

3

b)

7

c)

9

d)

12

97.

$\sqrt[]{100}\ =\$

a)

10

b)

6

c)

8

d)

4

98.

$\sqrt[]{64}\ =\$

a)

10

b)

6

c)

8

d)

4

99.

$\sqrt[]{36}\ =\$

a)

10

b)

6

c)

8

d)

4

100.

$\sqrt[]{16}\ =\$

a)

10

b)

6

c)

8

d)

4

101.

$\sqrt[]{1}\ =\$

a)

11

b)

5

c)

1

d)

0

102.

$\sqrt[]{121}\ =\$

a)

11

b)

5

c)

1

d)

0

103.

$\sqrt[]{25}\ =\$

a)

11

b)

5

c)

1

d)

0

104.

$\sqrt[]{0}\ =\$

a)

11

b)

5

c)

1

d)

0

105.

$10^2=\$

(a)

106.

$9^2=\$

(a)

107.

$5^2=\$

(a)

108.

$7^2=\$

(a)

109.

$11^2=\$

(a)

110.

$6^2=\$

(a)

111.

$8^2=\$

(a)

112.

$1^2=\$

(a)

113.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

114.

Which relation is true?

a)

x²= 20

b)

√x = 20

c)

400² = x

d)

√400 = x

115.

a)

A

b)

B

c)

C

d)

D

116.

The side of a square is 9 cm. What is the area of the square?

a)

72 square cm

b)

18 square cm

c)

3 square cm

d)

81 square cm

117.

Which statement best represent the model?

a)

√17 = 4.12

b)

289 ÷ 2 = 144.5

c)

√289 = 17

d)

17 • 2 = 34

118.

The √900 is —

a)

29

b)

3

c)

450

d)

30

119.

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

Perfect Squares & Square Roots

Total questions: 119

Worksheet time: 10hrs 55mins

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