WorksheetsRational/Irrational, Squares/Square Roots, Cube Roots
Total questions: 46
Worksheet time: 3hrs 24mins
Name
Class
Date
1.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
2.
The following numbers are displayed below.
√81 and 9
Which value is greater?
√81 and 9
Which value is greater?
a)
they are equivalent
b)
√81
c)
9
d)
can't be determine
3.
Taking the square root of the ________ of a square will give you the length.
a)
diagonal
b)
perimeter
c)
area
d)
circumference
4.
Order the numbers from least to greatest.
a)
-1 1/4, -1 1/5, -0.99, 1 13/20, 1.8
b)
-1 1/4, -1 1/5, -0.99, 1.8, 1 13/20
c)
-0.99, -1 1/5, -1 1/4, 1.8, 1 13/20
d)
-1 1/5, -1 1/4, -0.99, 1 13/20, 1.8
5.
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
6.
CHALLENGE
√9 × √100
√9 × √100
a)
30
b)
-200
c)
900
d)
90
7.
12
a)
1
b)
2
c)
0
d)
-1
8.
42
a)
8
b)
15
c)
18
d)
16
9.
22
a)
2
b)
4
c)
5
d)
6
10.
132
a)
26
b)
196
c)
144
d)
169
11.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
12.
√ 36
a)
4
b)
6
c)
12
13.
√ 81
a)
8
b)
7
c)
10
d)
9
14.
103
a)
30
b)
100
c)
1000
d)
3000
15.
63
a)
196
b)
206
c)
216
d)
226
16.
43
a)
16
b)
12
c)
36
d)
64
17.
13
a)
1
b)
3
c)
13
d)
31
18.
10
a)
0
b)
1
c)
10
19.
True or false? 9² is 18
a)
True
b)
False
20.
a²=324
a=...
a=...
a)
19
b)
15
c)
18
d)
17
21.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
22.
What is the square root symbol called?
a)
Radicand
b)
Radical
c)
The house
d)
It doesn't have a name
23.
√2 is:
a)
Rational
b)
Irrational
24.
Pi (3.14...) is:
a)
Rational
b)
Irrational
25.
10² =
a)
100
b)
110
c)
20
d)
200
26.
Which of the following is NOT a perfect square?
a)
9
b)
10
c)
25
d)
16
27.
Which of the following is NOT a perfect square?
a)
49
b)
100
c)
64
d)
80
28.
a)
8
b)
9
c)
10
d)
11
29.
What is the inverse of "squaring" a number?
a)
Division
b)
Cube Root
c)
Square Root
d)
Multiplication
30.
a)
9
b)
3
c)
1/3
d)
1
31.
∛1
a)
1
b)
3
c)
4
d)
2
32.
The number inside the radical is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
33.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
34.
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.
35.
What kind of number is the cube root of 100.
a)
Rational
b)
irrational
36.
What type of number is the square root of 25?
a)
rational
b)
irrational
37.
A fraction is which type of number?
a)
Rational
b)
Irrational
38.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
39.
A perfect square is which type of number?
a)
Rational
b)
Irrational
40.
A repeating decimal is what type of number?
a)
Rational
b)
Irrational
41.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
42.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
43.
a)
2 23/100
b)
2 23/10
c)
2 23/9
d)
2 23/99
44.
52
a)
16
b)
25
c)
20
d)
10
45.
Marissa is putting up a fence in her back yard. The area of her back yard is 225 square feet. How much TOTAL feet of fencing will she need?
a)
30 feet
b)
15 feet
c)
60 feet
d)
112 feet
46.
Solve: x^2 = 49
a)
x = 7
b)
x = -7
c)
x = 24.5
d)
x = 7 or x = -7
100 %
