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8th Grade Squares/Cubes/Irrational #s/Etc

Total questions: 116

Worksheet time: 4hrs 20mins

Name
Class
Date
1.
√ 64
a)
4
b)
6
c)
9
d)
8
2.
√ 81
a)
8
b)
7
c)
10
d)
9
3.
√ 36
a)
4
b)
6
c)
12
4.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
5.
∛8 =
a)
4
b)
3
c)
2
d)
512
6.
∛216
a)
6
b)
72
c)
108
d)
4
7.
∛1
a)
1
b)
3
c)
4
d)
2
8.

√ 484

a)

15

b)

12

c)

19

d)

22

9.
What is the square root of 361
a)
12
b)
15
c)
17
d)
19
10.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
11.
√324
a)
16
b)
17
c)
18
d)
19
12.
√625
a)
16
b)
25
c)
23
d)
19
13.
√400
a)
40
b)
30
c)
20
d)
10
14.
∛729
a)
9
b)
8
c)
7
d)
10
15.
∛512
a)
8
b)
7
c)
9
d)
6
16.

Classify the following: 34\frac{3}{4}  

a)

Rational

b)

Irrational

17.

Classify the following: π\pi  

a)

Rational 

b)

Irrational 

18.

Classify the following: 0.5250.525  

a)

Rational 

b)

Irrational 

19.

Select all that apply. What is a rational number ?

a)

A rational number is a number that can be written as a fraction.

b)

A rational number is a terminating decimal.

c)

A rational number is a decimal that repeats.

d)

A rational number is a decimal that goes on and on without repeating.

20.
Which of the following numbers is irrational?
a)

2.828427.....

b)
¾
c)
2
d)
-1.325
21.
Irrational Numbers....
a)
cannot be represented as a simple fraction
b)
can be represented as a fraction
c)
can be a repeating decimal
22.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)

5.1

23.
Is -5/8 a rational number?
a)
yes
b)
no
24.
4.032
a)
Rational 
b)
Irrational
25.
Which of the following is a rational number?
a)
π
b)

2.82842712475...

c)
.56565656....
d)

3.16227766017...

26.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
27.
√31
a)
Rational
b)
Irrational
28.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
29.
Which number is rational?
a)
∛51
b)
√94
c)
∛12
d)
√64
30.
Pi
a)
Rational
b)
Irrational
31.
Which number is irrational?
a)
0.416
b)
-8/5
c)
∛64
d)
√27
32.
.141414141414...
a)
Rational 
b)
Irrational 
33.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
34.
a)

W + X

b)

X + Y

c)

Y + Z

d)

Z + W

35.

Which of the following is an irrational number?

a)
b)
c)
d)
36.

Which of the following is an irrational number?

a)
b)
c)
d)
37.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
38.
∛1
a)
1
b)
3
c)
4
d)
2
39.
∛216
a)
6
b)
72
c)
108
d)
4
40.
162
a)
256
b)
289
c)
396
d)
324
41.
52
a)
16
b)
25
c)
20
d)
10
42.
12
a)
1
b)
2
c)
0
d)
-1
43.
42
a)
8
b)
15
c)
18
d)
16
44.
22
a)
2
b)
4
c)
5
d)
6
45.
62
a)
36
b)
12
c)
25
d)
42
46.
32
a)
6
b)
12
c)
9
d)
10
47.
142
a)
169
b)
196
c)
28
d)
144
48.
82
a)
68
b)
64
c)
16
d)
56
49.
132
a)
26
b)
196
c)
144
d)
169
50.
92
a)
18
b)
81
c)
90
d)
64
51.
112
a)
132
b)
144
c)
121
d)
22
52.
72
a)
50
b)
49
c)
14
d)
48
53.
152
a)
196
b)
289
c)
256
d)
225
54.
172
a)
196
b)
289
c)
225
d)
300
55.
182
a)
289
b)
324
c)
400
d)
225
56.
192
a)
300
b)
900
c)
361
d)
481
57.

Which symbol makes the following statement true?

33   ____    5-\ 5  

a)

>

b)

<

c)

=

58.

Which symbol makes the following statement true?


 3.4  -\ 3.4\ \  ______    2.5-\ 2.5  

a)

>

b)

<

c)

=

59.

Which symbol makes the following statement true?

79\frac{7}{9}    ______    0.60.6  
 

a)

<

b)

>

c)

=

60.

Which symbol makes the following statement true?
1824\frac{18}{24}   ______   55%55\%  

a)

<

b)

>

c)

=

61.

Which symbol makes the following statement true?

 0.625-\ 0.625   _______    58-\ \frac{5}{8}  

a)

<

b)

>

c)

=

62.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
63.

Fill in the blank with the correct sign >, < , or =


a)

<

b)

>

c)

=

64.

Fill in the blank with the correct sign >, < , or =

a)

>

b)

<

c)

=

65.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
66.

Compare: -6 ? 3

a)

=

b)

>

c)

<

67.

Compare: -6 ? -7

a)

=

b)

>

c)

<

68.

On a number line, greater numbers are to the right of lesser numbers.

a)
True
b)
False
69.

1 is greater than any negative number.

a)
True
b)
False
70.

Compare: -11  ?  0

a)
<
b)
>
c)
=
71.

Compare: -5.5  ?  -6

a)
<
b)
>
c)
=
72.

Compare: -4  ?  -4.5

a)
<
b)
>
c)
=
73.

Compare:  -9  ? -1

a)
>
b)
<
c)
=
74.

Compare: -10 ? -100

a)
>
b)
<
c)
=
75.

Compare: -2.5 ? -2

a)

<

b)

>

c)

=

76.

If the decimal has a pattern and goes on forever it is called....

a)

terminating

b)

repeating

c)

infinity

d)

ending

77.

If the remainder is 0 we call the decimal ...

a)

Finished

b)

Terminating

c)

Repeating

d)

Cyclical

78.
How can you determine if a fraction is repeating?
a)
The number is even.
b)
The prime factors are either 2 or 5.
c)
The dividing of the numerator by denominator has a remainder of 0 or stops dividing.
d)
There is a bar notation or ... in the decimal value.
79.

Identify the repeating decimals.
I.  –0. 353\overline{353}  
II.  3.611
III   –1.35555...
IV.  2.15
V.  7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

80.
a)
Repeating Decimal
b)
Non-Repeating Decimal
c)
Terminating Decimal
81.
0.444444444... is a repeating decimal.
a)
True 
b)
False
82.
Write   4/100  as a decimal
a)
.4
b)
.40
c)
.400
d)
.04
83.
What is 6/10 in decimal form?
a)
0.6
b)
0.610
c)
6.10
d)
6.01
84.

Is the fraction 1/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

85.

Is the fraction 9/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

86.

The decimal expansion of 11/40 is

a)

terminating

b)

repeating

87.

1/2 as a decimal is

a)

.25

b)

2

c)

.5

d)

.5.\overline{5}

88.

Write the decimal equivalent to 9/20

a)

.45\overline{.45}

b)

.45

c)

.45.4\overline{5}

d)

.5

89.

Convert 58\frac{5}{8} to a decimal.

a)

5.8

b)

8.5

c)

.652

d)

.625

90.

Convert the fraction to a decimal: 811\frac{8}{11}  

a)

.16.\overline{16}  

b)

.72

c)

.16

d)

.72.\overline{72}  

91.

Convert the fraction to a decimal:  140-\frac{1}{40}  

a)

.025

b)

-.25

c)

-.025

d)

.25

92.

Convert the fraction to a decimal: - 89\frac{8}{9}  

a)

- . 8\overline{8}  

b)

-.88

c)

-. 87\overline{87}  

d)

-.8 6\overline{6}  

93.
Identify the fraction equivalent to the decimal below.
a)
8/90
b)
8/99
c)
8/10
d)
8/9
94.

Convert  0.660.\overline{66}   to a fraction. Write your fraction in simplest form.



(a)  

95.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
96.
a)
2   23/100
b)
2   23/10
c)
2   23/9
d)
2   23/99
97.
Convert 1.5555... to a fraction.
a)
1 5/9
b)
1 5/10
c)
1 3/5
d)
1 6/10
98.

Estimate the square root.

a)

4.7

b)

5.4

c)

5.9

d)

6

99.
Estimate the square root.
a)

1.4

b)
2
c)

4

d)

1.1

100.
Estimate the square root.
a)

4.9

b)

6.1

c)

6.8

d)
7
101.
Estimate the square root.
a)

3.2

b)

3.9

c)

4.1

d)

3

102.
Estimate the square root.
a)

10.2

b)

9.9

c)

9.3

d)
10
103.
Estimate the square root.
a)

6

b)

6.9

c)

6.4

d)
7
104.

Estimate the square root.

a)

9

b)

9.7

c)

10

d)

10.7

105.
Estimate the square root.
a)

4.2

b)

4.9

c)

5

d)

4

106.
Estimate the square root.
a)
4
b)
5
c)

5.7

d)

6

107.
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
108.
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
109.

Order the following numbers from least to greatest. Place the lowest number on the left. Place one space between each number. No commas.


-62, -19, -42, 0

(a)  

110.

Which of the following inequalities are correct?


Choose all answers that apply. 

a)

23<13-\frac{2}{3}<-\frac{1}{3}

b)

13<23-\frac{1}{3}<-\frac{2}{3}

c)

0>230>-\frac{2}{3}

111.

Which number is the smallest?


19  ,   0.1    ,  212\frac{1}{9}\ \ ,\ \ \ -0.1\ \ \ \ ,\ \ -\frac{2}{12}  

a)

19\frac{1}{9}  

b)

0.1-0.1  

c)

212-\frac{2}{12}  

112.

 Order the following numbers from least to greatest.

Place the smallest number on the left. Add one space between each number. No commas. Type fractions using "/". Example:  14\frac{1}{4}  as 1/4


143 ,    5.1 ,  4-\frac{14}{3}\ ,\ \ \ \ -5.1\ ,\ \ -4  



(a)  

113.

Put the following numbers in order from

least to greatest.


1/2 , 1/8 , 1/6 , 1/4

a)

1/2 , 1/8 , 1/6 , 1/4

b)

1/2, 1/4, 1/6, 1/8

c)

1/8, 1/6, 1/4, 1/2

d)

1/4, 1/6, 1/2, 1/8

114.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
115.
Three students were reading the same novel.  Romaisa read 3/5 of the novel, Syed read 17/25 of the novel, and Felix read 0.63 of the novel.  Who has read the most?
a)
Romaisa
b)
Syed
c)
Felix
116.

The students at Parkview Sixth Grade School are preparing for a race. The final results are; Jaxon 13.18 sec., Phil 11.02 sec., Riley 15.1 sec., and Nash 13.2 sec. Which runner came in first place?

a)

Riley

b)

Jaxon

c)

Phil

d)

Nash