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Squares and Square Roots 100Q

Total questions: 100

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
22 = _____
a)
2
b)
6
c)
4
d)
16
2.
121 = ______
a)
112
b)
12
c)
11
d)
112
3.
132 = ______
a)
225
b)
196
c)
169
d)
166
4.
256 = ______
a)
163
b)
162
c)
16
d)
15
5.
192 = _____
a)
400
b)
360
c)
324
d)
361
6.
a)
√32, √324, √101, √44
b)
√64, √121, √324, √361
c)
√64, √324, √361, √44
d)
√32, √44, √101, √64
7.
a)
√81 = 9
b)
9 ÷ 9 = 1
c)
9 × 2 = 18
d)
√9 = 3
8.
√196 = ______
a)
14
b)
142
c)
15
d)
152
9.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft2

d)

25 square feet

10.
Which number is the square root of 324?
a)
182
b)
18
c)
√18
d)
18/2
11.
a)
√x = 7
b)
x2 = 7
c)
492 = x
d)
√49 = x
12.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm2. Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

13.
a)
252 = x
b)
x2 = 5
c)
x2 = 25
d)
√25 = x2
14.

Mr. Sansonetti wants to buy the iPod shuffle. If the area of the iPod was 9 cm2, how long was the side of the iPod shuffle?

a)

3 cm

b)

9 cm

c)

3 in

d)

4 cm

15.

The area of the square pool on Mr. Carr's vacation was 256 ft2. How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

16.
Which number is closest to the approximate value of √380?
a)
18.5
b)
19
c)
19.5
d)
20
17.

25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?

a)

5

b)

10

c)

25

18.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}  

19.

What is the area of a 3 cm square?

a)

6cm26cm^2

b)

9cm29cm^2

20.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
21.
A perfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
22.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
23.
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.
24.
√ 81
a)
8
b)
7
c)
10
d)
9
25.
52
a)
16
b)
25
c)
20
d)
10
26.
112
a)
132
b)
144
c)
121
d)
22
27.
√16
a)
4
b)
8
c)
2
d)
9
28.
√121
a)
12
b)
10
c)
11
d)
3
29.
√36
a)
4
b)
3
c)
6
d)
5
30.
√25
a)
2
b)
3
c)
5
d)
6
31.
72
a)
50
b)
49
c)
14
d)
48
32.
Which of the following is a perfect square?
¿Cuál de los siguientes es un cuadrado perfecto?
a)
24
b)
48
c)
81
d)
110
33.
√36
a)
3
b)
18
c)
6
d)
7
34.
92
a)
81
b)
100
c)
80
d)
72
35.
82
a)
16
b)
64
c)
24
d)
10
36.
What is a square root?
¿Qué es una raíz cuadrada?
a)
A number to the second power
Un número para la segunda potencia
b)
A square that has roots on it.
Un cuadrado que tiene raíces en él
c)
A number divided by 2
Un número dividido por 2
d)
Square roots are numbers that
produce a specified quantity when multiplied by itself]
Las raíces cuadradas son números que producir una cantidad específica cuando se multiplica por sí mismo
37.
The area of a square is 36 cm2.  What is the length of one side?
El área de un cuadrado es 36 cm2. ¿Cuál es la longitud de un lado?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
38.
√40 is between which two whole numbers? (integers)
¿Entre qué dos números enteros? (enteros)
a)
A. 5 and 6
b)
B. 6 and 7
c)
C. 7 and 8
d)
D. 39 and 41
39.
Which of the following is NOT a perfect square?
¿Cuál de los siguientes NO es un cuadrado perfecto?
a)
1
b)
4
c)
100
d)
8
40.
Estimate the square root. 
Estime la raíz cuadrada.


a)
4
b)
5
c)
6
d)
7
41.
Estimate the square root. 
Estime la raíz cuadrada.

a)
3
b)
4
c)
5
d)
6
42.
142 is called ________
142 se llama ________.
a)
14 cubed
14 cubos
b)
14 squared
14 al cuadrado
c)
14 to the 14th power
14 a la 14 potencia
d)
28
43.
Which would be the next number in the pattern?   
36, 49, 64, 81 __
¿Cuál sería el próximo número en el patrón?
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
44.
The area of a square is 36 cm2.  What is the length of one side?
 El área de un cuadrado es 36 cm2. ¿Cuál es la longitud de un lado?

a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
45.
What is the length of the side of the square with an area of 25 square feet? 
¿Cuál es la longitud del lado del cuadrado con un área de 25 pies cuadrados?
a)
12.5 feet
b)
10 feet
c)
5 feet
d)
6 feet
46.
√13 is read?
√13 ¿es leído?
a)
Thirteen
Trece

b)
Thirteen squared
Trece cuadrados
c)
The square root of 13
La raíz cuadrada de 13
d)
Check mark 13
Marca de verificación 13
47.
The square root of 1.96 is_____
a)
1.4
b)
0.14
c)
1.2
d)
0.12
48.
Square of odd number are ____
a)
Always odd
b)
Sometimes odd
c)
never odd
d)
Always even
49.
The square of 3⁄5 is _____
a)
9⁄25
b)
6⁄10
c)
3⁄25
d)
9⁄5
50.
Which one of the following number is not a perfect squre?
a)
64
b)
121
c)
144
d)
85
51.
Write 'True' or 'False'
The square root of 1.21 is 1.1
a)
TRUE
b)
FALSE
52.
The square root of 289 is 17.  Then find the square root of 289000000
a)
17000
b)
170000
c)
170
d)
1700
53.
Which of the following is the square of an even number?
a)
196
b)
441
c)
625
d)
529
54.
Write 'True' or 'False'
The square of a prime number is prime
a)
TRUE
b)
FALSE
55.
Evaluate:  (37)2 - (36)2
a)
73
b)
72
c)
74
d)
75
56.
The square root of 81 is 9. What is the number whose square root is 9000?
a)
81000000
b)
810000
c)
8100000
d)
81000
57.
 12=21^2=2  
a)
TRUE
b)
FALSE
58.
 25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?
a)
5
b)
10
c)
25
59.
Choose 3 numbers of perfect square
a)
1
b)
9
c)
26
d)
64
e)
112
60.
 132=16913^2=169  
a)
TRUE
b)
FALSE
61.
 6425=y5\sqrt{\frac{64}{25}}=\frac{y}{5}  
What is y?
a)
4
b)
8
62.
 (14)2=\left(\frac{1}{4}\right)^2=  
a)
 18\frac{1}{8}  
b)
 116\frac{1}{16}  
63.
Which of the following is TRUE? (Choose 2)
a)
1 is the number of perfect square
b)
 32=63^2=6  
c)
 92=9\sqrt{9^2}=9  
d)
Square root of 4 is 16
64.
1, 4, 9, 16, 25, x, 49, 64....
What is x?
a)
27
b)
31
c)
36
d)
41
65.
 (113)2=(p3)2\left(1\frac{1}{3}\right)^2=\left(\frac{p}{3}\right)^2  
What is the best answer for p?
a)
1
b)
3
c)
4
66.
What is the area of a 3 cm square?
a)
 6cm26cm^2  
b)
 9cm29cm^2  
67.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
68.
Estimate √50. Round your answer to the nearest Whole Number. 
a)
5
b)
10
c)
25
d)
7
69.
Evaluate √72. Round your answer to the nearest Whole Number. 
a)
7.2
b)
7
c)
8
d)
9
70.
(-6)2
a)
12
b)
-12
c)
-36
d)
36
71.
Which of the following is a perfect square?
a)
10
b)
25
c)
50
d)
89
72.
Which of the following in not a perfect square?
a)
49
b)
81
c)
111
d)
144
73.
√ 64
a)
4
b)
6
c)
9
d)
8
74.
√ 144
a)
4
b)
12
c)
16
d)
32
75.
What is the area of a square with a side of 12?
a)
144
b)
24
c)
48
d)
6
76.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
77.
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
78.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
79.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
80.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
81.
Which representations are equal to 64?
a)
82
b)
322
c)
(-8)(-8)
d)
43
e)
213
82.
Leona is so excited. Her grandma is ordering a cubic hot tub that has a volume of 216 ft3. Her grandma needs to know how long each side is to order trim. What is the length of each side?
a)
4 feet
b)
6 feet
c)
8 feet
d)
108 feet
83.
Valencia, Saralyn, and Emily are solving math problems to win a race. They need to determine the approximate value of  47\sqrt{47} . Saralyn insists the value is closer to 7, while Emily is sure it is closer to 8. Valencia thinks the value is closer to 6. Who do you agree with?
a)
Saralyn 
b)
Emily
c)
Valencia
84.
Evaluate.
a)
-12
b)
12
c)
±12
d)
1/12
85.
Evaluate.
a)
7/5
b)
±7/5
c)
5/7
d)
±5/7
86.
Evaluate.±
a)
±13
b)
±14
c)
14
d)
13
87.
Evaluate.
a)
444
b)
222
c)
4
d)
2
88.
Between what two integers would you find the value of √150?
a)
12 and 13
b)
11 and 12
c)
13 and 14
d)
15 and 16
89.
What are the square roots of 36?
a)
6 and -6
b)
6
c)
-6
90.
Which of these is not a perfect square?
a)
144
b)
36
c)
121
d)
72
91.
Simplify
a)
6/7
b)
4/9
c)
d)
6/9
92.
Which of these is both a perfect square and a perfect cube?
a)
64
b)
125
c)
225
d)
81
93.
Solve for p when p2 = 100.
a)
1,000
b)
10
c)
0.10
d)
-0.10
94.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
95.
Solve for x when x3 = 1/8
a)
x = 2
b)
x = 1/2
c)
x = 4
d)
x = 16
96.
If x3 = -27, then x equals
a)
-3
b)
-9
c)
+3 and -3
d)
+9 and -9
97.
A square with side length s has an area of 0.81 square units. What is the length of the side of the square?
a)
0.9 units
b)
0.6561 units
c)
0.405 units
d)
0.3 units
98.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube? 
a)
1
b)
10
c)
100
d)
300
99.
Identify the cube roots of 27. ( Please use ONLY numbers and symbols)
a)
-3
b)
 ±3\pm3  
c)
3
100.
Identify the cube roots of -125. ( Please use ONLY numbers and symbols)
a)
5
b)
25
c)
 ±5\pm5  
d)
-5
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