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WorksheetsSquare and Cube roots
Total questions: 55
Worksheet time: 2hrs 15mins
Name
Class
Date
1.
√121
a)
12
b)
10
c)
11
d)
3
2.
√256
a)
14
b)
16
c)
13
d)
17
3.
√324
a)
17
b)
18
c)
13
d)
14
4.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
5.
What is the cube root of 1000?
a)
10
b)
100
c)
500
d)
20
6.
What is the cube root of 64?
a)
2
b)
4
c)
8
d)
16
7.
The area of a square painting is 81 cm2. What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
8.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
9.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
10.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
11.
A fraction is which type of number?
a)
Rational
b)
Irrational
12.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
13.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
14.
Which of the following is a rational number?
a)
π
b)
√8
c)
.56565656....
d)
√10
15.
Is the following number rational or irrational? (π / 2)
a)
Rational
b)
Irrational
16.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
17.
a)
8
b)
9
c)
10
d)
11
18.
True or false?
1.7 > √4
1.7 > √4
a)
True
b)
False
19.
True or False?
¼ < ½
¼ < ½
a)
True
b)
False
20.
Round √2 to the nearest hundredth.
a)
1.4142
b)
1.41
c)
1.42
21.
Round √5 to the nearest hundredth.
a)
2.24
b)
2.23
c)
2.2360
22.
Which point best represents 10 on a number line?
a)
point A
b)
point B
c)
point C
d)
point D
23.
Between which two numbers does 11 lie on a number line?
a)
4 and 5
b)
5 and 6
c)
10 and 11
d)
3 and 4
24.
Which best represents the position of 8 on the number line below?
a)
Point P
b)
Point Q
c)
Point R
d)
Point S
25.
Put in the symbol to make the statement true...
-17.5 _________ -√121
-17.5 _________ -√121
a)
>
b)
<
c)
=
26.
Select ALL numbers that are irrational.
a)
10
b)
-21
c)
π
d)
210
e)
10
27.
Select ALL numbers that are rational.
a)
55
b)
289
c)
6
d)
π
e)
697
28.
A rational number can be written as a fraction.
a)
true
b)
false
29.
Perfect Squares are irrational
a)
True
b)
False
30.
Solve for p when p2 = 100.
a)
1,000
b)
10
c)
0.10
d)
-0.10
31.
Solve for x when x2 = 144
a)
4
b)
11
c)
12
d)
14
32.
If x3 = -27, then x equals
a)
-3
b)
-9
c)
+3 and -3
d)
+9 and -9
33.
Solve for x when x= √16
a)
x = 2
b)
x = 4
c)
x = 8
d)
x = 32
34.
∛8 =
a)
4
b)
3
c)
2
d)
512
35.
∛729
a)
9
b)
243
c)
81
d)
11
36.
Between which two whole numbers is the
√54 ?
√54 ?
a)
5 and 6
b)
10 and 2
c)
7 and 8
d)
3 and 4
37.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
38.
Which is equivalent to ∛54 in simplest form?
a)
3∛6
b)
9∛2
c)
3∛2
d)
3∛3
39.
Simplify.
a)
A
b)
B
c)
C
d)
D
40.
Simplify:
4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
41.
Simplify
a)
A
b)
B
c)
C
d)
D
42.
Simplify:
√24
√24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
43.
x0=
a)
0
b)
1
c)
x
d)
-x
44.
Find the AREA of this figure.
a)
20 square feet
b)
20 cm
c)
25 square cm
d)
20 cm sq.
45.
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
46.
What is 15³ ?
(a)
47.
What is 18³ ?
(a)
48.
What is 14³ ?
(a)
49.
What is 12³ ?
(a)
50.
√8 - 6√2
a)
-4√2
b)
2√2
c)
-6√6
d)
-6√10
51.
√18 + √2
a)
√20
b)
4√5
c)
4√2
d)
10√2
52.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
53.
35+75
a)
5
b)
1010
c)
105
d)
215
54.
750−28
a)
542
b)
312
c)
152
d)
272
55.
a)
√18 + 11√2
b)
22√5
c)
11√20
d)
14√2
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