WorksheetsRational and Irrational Numbers, and some Integers too
Total questions: 95
Worksheet time: 5hrs 45mins
Name
Class
Date
1.
Is the following number rational or irrational? (77/3)
a)
Rational
b)
Irrational
2.
Is the following number rational or irrational? (π / 2)
a)
Rational
b)
Irrational
3.
Is the following number rational or irrational? (π)
a)
Rational
b)
Irrational
4.
Is the following number rational or irrational? 0.333...
a)
Rational
b)
Irrational
5.
Is the following number rational or irrational? -7341.2
a)
Rational
b)
Irrational
6.
Is the following number rational or irrational? √2
a)
Rational
b)
Irrational
7.
Once simplified, is this number rational or irrational? 10√2
a)
Rational
b)
Irrational
8.
Once simplified, is this number rational or irrational? (√2) * (√2)
a)
Rational
b)
Irrational
9.
Select the ONLY number that is RATIONAL
a)
π
b)
π/4
c)
√2
d)
√49
10.
Select the ONLY number that is IRRATIONAL
a)
π / π
b)
0.1234567...
c)
3√4
d)
-0.74747474...
11.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating decimal.
12.
Irrational numbers can be written in the form of a fraction
a)
False
b)
True
13.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
14.
Irrational Numbers....
a)
cannot be represented as a simple fraction
b)
can be represented as a fraction
c)
can be a repeating decimal
15.
5
a)
Rational
b)
Irrational
16.
√7
a)
Rational
b)
Irrational
17.
can be expressed as a fraction in an infinite number of ways
a)
Rational Numbers
b)
Irrational Numbers
18.
√25
a)
Rational
b)
Irrational
19.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
20.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
∛25
21.
-17.565
a)
Rational
b)
Irrational
22.
A fraction is which type of number?
a)
Rational
b)
Irrational
23.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
24.
Which number is rational below?
a)
√20
b)
√64
c)
6π
d)
√7
25.
Which of the following is irrational?
a)
0.444444444
b)
-4/5
c)
π
d)
0.2
26.
Irrational numbers...
a)
reduce to π
b)
never end and never repeat
c)
can sometimes be perfect squares
d)
must be negative
27.
.141414141414...
a)
Rational
b)
Irrational
c)
real
d)
fake
28.
Identify the rational numbers.
a)
4
b)
π
c)
3.5
d)
2
e)
32
29.
A terminating decimal is a decimal that...
a)
Never ends
b)
repeats a pattern
c)
ends
d)
never ends and never repeats
30.
All whole numbers are rational numbers.
a)
True
b)
False
31.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
32.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
33.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
34.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
35.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
36.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
37.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
38.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
39.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
40.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
41.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
42.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
43.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
44.
-32/8
a)
-4
b)
-5
c)
4
d)
24
45.
-2 + (-5)
a)
-3
b)
3
c)
-7
d)
7
46.
If you are adding 2 negative numbers, will your answer be positive or negative?
a)
negative
b)
positive
47.
-2 - (-8)
a)
6
b)
-6
c)
-10
d)
10
48.
-14 / -2
a)
-7
b)
-2
c)
7
d)
2
49.
What is the product a positive integer and negative integer?
a)
Negative
b)
Positive
50.
-4 + 9
a)
-13
b)
13
c)
-5
d)
5
51.
-2 - (-8)
a)
6
b)
-6
c)
-10
d)
10
52.
-8 - 6
a)
-2
b)
2
c)
-14
d)
14
53.
7 - 26
a)
-19
b)
19
c)
33
d)
-33
54.
9 - (-10)
a)
-1
b)
-19
c)
1
d)
19
55.
what is the absolute value of -|24|?
a)
-24
b)
24
c)
98
d)
11
56.
Negative numbers are
a)
less than zero
b)
greater than zero
57.
The temperature in Town A is -10 degrees Fahrenheit and temperature in Town B is -25 degrees Fahrenheit. Is it colder in Town A or Town B ?
a)
Town A
b)
Town B
58.
-9 + (-5)
a)
-14
b)
14
c)
-4
59.
28 + (-30)
a)
-2
b)
2
c)
58
d)
-58
60.
-10 + 10
a)
20
b)
0
c)
-20
d)
1,000,000
61.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
62.
Which is NOT negative?
a)
Withdrawal
b)
Loss
c)
Fine
d)
Bonus
63.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
64.
12 and -12 are example of ....
a)
opposites
b)
even numbers
c)
negative numbers
d)
absolute values
65.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
66.
What is the opposite of zero?
a)
1
b)
-1
c)
0
d)
it doesn't have one
67.
Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?
a)
20 feet below sea level
b)
20 feet above sea level
c)
2 feet below sea level
d)
At sea level
68.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
69.
What is an integer?
a)
A whole number
b)
A fraction
c)
A negative number only
d)
Negative and positive whole number and 0
70.
Negatives numbers are right or left of zero?
a)
right
b)
left
71.
a)
8y+5
b)
3y+3
c)
7y+5
d)
7y+4
72.
a)
10x+16
b)
12x+18
c)
16x+18
d)
15x+18
73.
a)
5x+5y+18
b)
6x+6y+10
c)
5x+2y+18
d)
5x +6y+10
74.
a)
9x+6
b)
3x+4
c)
3x-4
d)
6x+4
75.
a)
7x2+3x+5
b)
9x2+4x+5
c)
4x +9x2+5
d)
9x2+3x+5
76.
a)
6x-1
b)
10x+7
c)
6x+1
d)
8x+1
77.
a)
5x+5y+18
b)
6x+6y+10
c)
5x+2y+18
d)
5x +6y+10
78.
a)
24z+8
b)
22z+6
c)
23z+8
d)
24z+2
79.
a)
13x+11
b)
2x-1
c)
x-1
d)
2x+1
80.
a)
2x2+13y+5
b)
2x2+13y-5
c)
x2-y-5
d)
4x2-13y-5
81.
a)
2y-2
b)
x2+2y-2
c)
2x2-2y+2
d)
-2y+2
82.
a)
x2+2y+8
b)
2x2+y+4
c)
2x2+2y+4
d)
2y+4
83.
a)
x+y+1
b)
15x+19y+11
c)
-x-y-1
d)
-15x-19y-11
84.
a)
x+y+1
b)
-15x-19y-11
c)
-x+y+1
d)
-x-y-1
85.
a)
2x2-2y-2
b)
-3x2-2y-2
c)
-2x2-4y-2
d)
-2x2-2y+2
86.
X+X+X+X+X
a)
X + 5
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power
87.
a + a + a + a
a)
a + 4
b)
4a
c)
a to the fourth power
d)
4a + 4
88.
y + x + y + y + x
a)
2 + 3
b)
x + y
c)
2x + 3y
d)
5xy
89.
2r + 2 + 5r - 2 + r
a)
8r
b)
8r - 4
c)
12r
d)
7r + 4 + r
90.
6x + 1 + 7x
a)
13x - 1
b)
14x
c)
7x + 6x + 1
d)
13x + 1
91.
3 + 12c - 4c
a)
16c + 3
b)
8c + 3
c)
5c
d)
8c
92.
6x + 2x
a)
8x
b)
12x
c)
8
d)
12
93.
3 + 5x + 4
a)
5x ∙ 7
b)
12x
c)
35x
d)
5x + 7
94.
4x + 3 + 7x
a)
14x
b)
11x + 3
c)
28x + 3
d)
11x - 3
95.
5z - 4z
a)
1z
b)
9z
c)
20z
d)
0
100 %
