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Square Roots Exercises

Total questions: 171

Worksheet time: 4hrs 34mins

Name
Class
Date
1.
How do you find the area of a square?
a)
Length + Width
b)
(Side) * 4
c)
(Side) * (Side)
d)
Width * 2
2.
How do you find the area of a square?
a)
(Side) * 2
b)
(Side) + (Side)
c)
Length + Width
d)
(Side)2
3.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
4.
What is the area of a square with a side of 12?
a)
144
b)
24
c)
48
d)
6
5.
What is the perimeter of a square with a side of 3?
a)
9
b)
12
c)
6
d)
24
6.
Which of these areas is a perfect square?
a)
12
b)
90
c)
40
d)
64
7.
Which of these areas is a perfect square?
a)
4
b)
15
c)
99
d)
18
8.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
9.
What is the side length of a square that has an area of 36?
a)
9
b)
18
c)
6
d)
1296
10.
What is the side length of a square that has an area of 121?
a)
11
b)
60.5
c)
30.25
d)
14641
11.
What is the side length of a square that has an area of 40?
a)
20
b)
10
c)
1600
d)
6.3
12.
What is the perimeter of a square that has an area of 81?
a)
9
b)
36
c)
18
d)
81
13.
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
14.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
15.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
16.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
17.

A perfect square is a number whose square root is ___________.

a)

Even

b)

irrational

c)

Rational

d)

Odd

18.
Between which two consecutive whole numbers is the√200? 
a)
13 and 14
b)
15 and 16
c)
14 and 15
d)
11 and 12
19.
x² = 121
What does x equal?
a)
11²
b)
11 and -11
c)
20 and 11
d)
12 and 1
20.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
21.
What is the square root of 324?
a)
16
b)
17
c)
18
d)
19
22.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

23.
The number 500...
a)
is a perfect square.
b)
is not a perfect square.
24.

172 =

a)

34

b)

289

c)

225

d)

324

25.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
26.

125

a)

Is a perfect square.

b)

Is not a perfect square.

27.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
28.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

29.
√ 4
a)
2
b)
7
c)
16
d)
1
30.
√ 1
a)
1
b)
100
c)
10
d)
0
31.
√ 64
a)
4
b)
6
c)
9
d)
8
32.
√ 81
a)
8
b)
7
c)
10
d)
9
33.
√ 36
a)
4
b)
6
c)
12
34.
√ 144
a)
4
b)
12
c)
16
d)
32
35.
52
a)
16
b)
25
c)
20
d)
10
36.
22
a)
2
b)
4
c)
5
d)
6
37.
72
a)
50
b)
49
c)
14
d)
48
38.
112
a)
132
b)
144
c)
121
d)
22
39.
√ 9
a)
8
b)
9
c)
3
d)
81
40.
√ 16
a)
132
b)
4
c)
2
d)
8
41.
√ 25
a)
5
b)
100
c)
4
d)
21
42.
√ 49
a)
121
b)
14
c)
8
d)
7
43.
√ 100
a)
10
b)
5
c)
20
d)
100
44.
√ 121
a)
10
b)
11
c)
12
d)
121
45.
92
a)
81
b)
18
c)
79
d)
11
46.
102
a)
100
b)
1000
c)
1
d)
21
47.
12
a)
1
b)
0
c)
10
d)
2
48.
32
a)
12
b)
5
c)
6
d)
9
49.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
50.
Estimate √50. Round your answer to the nearest Whole Number. 
a)
5
b)
10
c)
25
d)
7
51.
Evaluate √72. Round your answer to the nearest Whole Number. 
a)
7.2
b)
7
c)
8
d)
9
52.

(-6)2

a)

12

b)

-12

c)

-36

d)

36

53.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

54.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

55.
√ 64
a)
4
b)
6
c)
9
d)
8
56.
√ 64
a)
4
b)
6
c)
9
d)
8
57.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
58.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
59.
√ 16 
a)
8
b)
3
c)
4
d)
6
60.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
61.
172 =
a)
34
b)
289
c)
225
d)
324
62.
112 =
a)
22
b)
44
c)
144
d)
121
63.
What is the Square Root of 289?
a)
17
b)
16
c)
15
d)
18
64.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
65.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
66.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
67.
500
a)
Is a perfect square.
b)
Is not a perfect square.
68.
196
a)
Is a perfect square.
b)
Is not a perfect square.
69.
144
a)
Is a perfect square.
b)
Is not a perfect square.
70.
125
a)
Is a perfect square.
b)
Is not a perfect square.
71.
244
a)
Is a perfect square.
b)
Is not a perfect square.
72.
0
a)
Is a perfect square.
b)
Is not a perfect square.
73.
Estimate the square root.
a)
3
b)
4
c)
5
d)
6
74.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

75.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

76.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
77.
65
a)
Is a perfect square.
b)
Is not a perfect square.
78.
169
a)
Is a perfect square.
b)
Is not a perfect square.
79.
If a square has a side length of 5 cm, what would the area be?
a)
55 cm2
b)
50 cm2
c)
25 cm2
d)
20 cm2
80.
What would be the side length if you used 49 tiles to create a perfect square?
a)
7 tiles
b)
14 tiles
c)
4 tiles wide and 9 tiles long
d)
3.5 tiles
81.

Which is a perfect square?

a)

50

b)

32

c)

8

d)

200

e)

256

82.

-√400

a)

200

b)

-200

c)

-20

d)

20

e)

not real

83.

+√1

a)

+½

b)

-½

c)

-1

d)

+1

e)

not real

84.
52
a)
16
b)
25
c)
20
d)
10
85.
12
a)
1
b)
2
c)
0
d)
-1
86.
42
a)
8
b)
15
c)
18
d)
16
87.
22
a)
2
b)
4
c)
5
d)
6
88.
62
a)
36
b)
12
c)
25
d)
42
89.
32
a)
6
b)
12
c)
9
d)
10
90.
142
a)
169
b)
196
c)
28
d)
144
91.
82
a)
68
b)
64
c)
16
d)
56
92.
132
a)
26
b)
196
c)
144
d)
169
93.
92
a)
18
b)
81
c)
90
d)
64
94.
112
a)
132
b)
144
c)
121
d)
22
95.
72
a)
50
b)
49
c)
14
d)
48
96.
152
a)
196
b)
289
c)
256
d)
225
97.
102
a)
100
b)
20
c)
200
d)
10
98.
√ 64
a)
4
b)
6
c)
9
d)
8
99.
√ 81
a)
8
b)
7
c)
10
d)
9
100.
√ 36
a)
4
b)
6
c)
12
101.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

102.

(-6)2

a)

12

b)

-12

c)

-36

d)

36

103.

−112

a)

121

b)

-121

c)

22

d)

-22

104.

132=____

a)

26

b)

99

c)

119

d)

169

105.
The area of a square is 117 square meters. Which best represents the length of a side of the square? 
a)
10.8 m
b)
11 m
c)
10 m
d)
11.2 m
106.
Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?
a)
√8
b)
√17
c)
√12
d)
√10
107.
A perfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
108.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
109.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
110.
√100
a)
15
b)
10
c)
11
d)
12
111.
√64
a)
3
b)
8
c)
7
d)
6
112.
Estimate √5 to the nearest tenth:
a)
2.2
b)
2.9
c)
4.1
d)
3.2
113.
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
114.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
115.
Which number has a square root that  is between 5 and 6?
a)
48
b)
81
c)
28
d)
36
116.
√ 4
a)
2
b)
7
c)
16
d)
1
117.
√49
a)
5
b)
3
c)
6
d)
7
118.
152
a)
196
b)
289
c)
256
d)
225
119.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
120.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
121.
Estimate the square root.
a)
7
b)
8
c)
9
d)
10
122.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
123.
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
124.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
125.
A perfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
126.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
127.
–√25
a)
5
b)
-5
c)
±5
d)
None
128.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
129.
What type of number is π ?
a)
Rational
b)
Irrational
130.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
131.
Which statement is true? 
a)
The number ⅚ is irrational
b)
The number 0.345345345 is irrational
c)
The number (4π/16π) is irrational
d)
The number (√11)² is rational
132.
Which number is rational below?
a)
√20
b)
√64
c)
6π
d)
√7
133.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

134.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

135.
√7
a)
Rational 
b)
Irrational
c)
real
d)
fake
136.
√4
a)
irrational
b)
rational
137.
4π
a)
rational
b)
irrational
138.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
139.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
140.
Is the number rational or irrational?
a)
Rational
b)
Irrational
141.
Is the number rational or irrational?
a)
Rational
b)
Irrational
142.
Is the number rational or irrational?
a)
Rational
b)
Irrational
143.
Is the number rational or irrational?
a)
Rational
b)
Irrational
144.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

145.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

146.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
147.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

148.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

149.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

150.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

151.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

152.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

153.

Which of the following has the greatest value?

a)

3.5 x 104

b)

2.1 x 106

c)

7.2 x 107

d)

9.9 x 105

154.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

155.

Which number is equivalent to 5-1?

a)
b)
c)
d)
156.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

157.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

π\pi

d)

102\frac{10}{2}

e)

10\sqrt{10}

158.

Select ALL numbers that are rational.

a)

55

b)

289\sqrt{289}

c)

6\sqrt{6}

d)

π\pi

e)

6796\frac{7}{9}

159.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

160.

Which is the best approximation of point M?

a)

√2

b)

7/3.5

c)

14/4

d)

π

161.

Which points are greater than √5 ? Choose all that apply.

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

e)

None of the above

162.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

163.

Which value is best represented by point Q?

a)

√5.4

b)

√29.5

c)

√35.5

d)

√5.9

164.

Which value best approximates point R?

a)

18/4

b)

√50.9

c)

√7.13

d)

π2

165.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

166.

A square wall has an area of 87.5 square feet. Which best represents the length of the wall?

a)

43.75 feet

b)

21.9 feet

c)

9.4 feet

d)

7656 feet

167.

Which best represents the length of one side of the square?

a)

5 m

b)

400 m

c)

10 m

d)

4.5 m

168.

A square garden has an area of 114 square feet. Which could be the length of one side of the garden?

a)

28.5 feet

b)

10.7 feet

c)

57 feet

d)

14.25 feet

169.

What is the perimeter of this square?

a)

6 m

b)

9 m

c)

24 m

d)

18 m

170.

A square has an area of 48.89 square centimeters. Which could be the length of one side?

a)

7 meters

b)

12.2 meters

c)

24 meters

d)

2390.2 meters

171.

Which of these irrational numbers is between 9 and 10 on the number line? Choose all that apply.

a)

π2

b)

√94.7

c)

√9.3

d)

3π

e)

3√3

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