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WorksheetsRoots and Rational Numbers
Total questions: 25
Worksheet time: 38mins
Name
Class
Date
1.
A rational number can be written as a fraction.
a)
True
b)
False
2.
Find the cube root.
a)
9/12
b)
3/4
c)
4/8
d)
5/4
e)
2/6
3.
Which of the following in not a perfect square?
a)
49
b)
81
c)
111
d)
1
4.
Write the number as a mixed number
a)
2 23/100
b)
2 23/10
c)
2 23/9
d)
2 23/99
5.
What is the perimeter of a square that has an area of 81cm2?
a)
9 cm
b)
36 cm
c)
18 cm
d)
81 cm
6.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
7.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
8.
In between what two consecutive integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
9.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
10.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
11.
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
12.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
13.
A repeating decimal is what type of number?
a)
Rational
b)
Integer
c)
Natural
14.
List all the classifications of numbers that apply to the real number.
436
436
a)
Irrational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
15.
List all the classifications of numbers that apply to the real number.
-1/4
-1/4
a)
None
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational
16.
List all the classifications of numbers that apply to the number.
41.013
41.013
a)
Rational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
17.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
18.
A square sandbox has an area of 25 ft2. What is the length of each of its sides?
a)
5 ft2
b)
5 ft
c)
12.5 ft
d)
25 ft
19.
Which description best describes an irrational number?
a)
A repeating decimal
b)
An improper fraction
c)
A non-repeating, non-terminating decimal
d)
A perfect square
20.
√10 is ...
a)
Rational
b)
Irrational
21.
What does this number belong to:
a terminating decimal
a terminating decimal
a)
Rational Number
b)
Irrational Number
22.
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.
23.
Select the answer with all perfect squares.
a)
-144, 9, 50, 75, 81, 100
b)
9, 50, 75, 81, 100
c)
9, 50, 81, 100
d)
9, 81,100
24.
The square root of 2 is an irrational number because...
a)
All square roots are irrational
b)
The answer is a decimal that never stops
c)
Two is an even number
d)
The answer is 1
25.
22581 Find the square root
a)
3/5
b)
5/3
c)
3/4
d)
4/3
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