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Unit 1 - rational and irrational numbers

Total questions: 40

Worksheet time: 46mins

Name
Class
Date
1.

Irrational numbers can be written in the form of a fraction

a)

False

b)

True

2.
includes integers, fractions, terminating and repeating decimals.
a)
Rational Numbers
b)
Irrational Numbers
3.
can be expressed as a fraction in an infinite number of ways
a)
Rational Numbers
b)
Irrational Numbers
4.
Irrational Numbers....
a)
cannot be represented as a simple fraction
b)
can be represented as a fraction
c)
can be a repeating decimal
5.
.141414141414...
a)
Rational 
b)
Irrational 
6.
pi - 3.141592....
a)
Rational
b)
Irrational 
7.
√2
a)
Rational
b)
Irrational
8.
5
a)
Rational
b)
Irrational
9.
-17.5
a)
Rational
b)
Irrational
10.
√7
a)
Rational 
b)
Irrational
11.
√25
a)
Rational
b)
Irrational
12.
Is the following number rational or irrational? (77/3)
a)
Rational
b)
Irrational
13.
Is the following number rational or irrational? (π / 2)
a)
Rational
b)
Irrational
14.
Is the following number rational or irrational? (π)
a)
Rational 
b)
Irrational 
15.
Is the following number rational or irrational? 0.333...
a)
Rational
b)
Irrational
16.
Is the following number rational or irrational? -7341.2
a)
Rational
b)
Irrational
17.
Is the following number rational or irrational? √2
a)
Rational
b)
Irrational
18.
Once simplified, is this number rational or irrational? 10√2
a)
Rational
b)
Irrational
19.
Once simplified, is this number rational or irrational? (√2) * (√2)
a)
Rational 
b)
Irrational
20.
Select the ONLY number that is RATIONAL 
a)
π
b)
π/4
c)
√2
d)
√49
21.
Select the ONLY number that is IRRATIONAL
a)
π / π
b)
0.1234567...
c)
3√4
d)
-0.74747474...
22.
25% as a decimal:  
a)
0.25
b)
02.5
c)
25
d)
2500
23.
2% as a decimal:
a)
0.02
b)
0.2
c)
2
d)
20
24.
120% as a decimal:
a)
1.2
b)
12
c)
0.12
d)
120
25.
18% as a decimal:
a)
0.18
b)
18
c)
1.8
d)
0.81
26.
How would you change 65% to a decimal?
a)
Move the decimal 2 places to the left
b)
Move the decimal 2 places to the right
c)
Move the decimal 3 places to the left
d)
Move the decimal 3 places to the right
27.
6% as a decimal:  
a)
0.06
b)
0.6
c)
6
d)
600
28.
200% as a decimal:
a)
2
b)
20
c)
200
d)
0.2
29.
How would you change 6% to a decimal?
a)
Move the decimal 2 places to the left, and add a zero in front of the 6 
b)
Move the decimal 2 places to the left
c)
Move the decimal 2 places to the right, and add a zero behind the 6
d)
Move the decimal 2 places to the right
30.
Convert to a decimal
           3/4
a)
.25
b)
.34
c)
.75
d)
.44...
31.
Convert to a decimal
 
                   1/2
a)
.5
b)
.25
c)
.45
d)
.12
32.

12.7% as a decimal

a)

127

b)

.127

c)

1.27

d)

.0127

33.
Change this decimal to a percent: 
0.52
a)
52%
b)
.52%
c)
5.2%
d)
.052%
34.
Convert to a decimal
 
                   1/10
a)
.1
b)
.01
c)
.001
d)
.2
35.
Express 0.50 as a percent
a)
5%
b)
0.50%
c)
50%
d)
0.05%
36.
Write 0.6 as a percent.
a)
6%
b)
60%
c)
0.6%
d)
600%
37.
What is 0.64 as a fraction in simplest form? 
a)
64/100
b)
16/25
c)
6/4
d)
4/6
38.
What is 0.03 as a fraction in simplest form?
a)
3/100
b)
3/10
c)
30/100
d)
3/1000
39.
Write 5% as a decimal.
a)
5
b)
0.5
c)
0.05
d)
0.005
40.
Write 66.666...% as a fraction.
(Hint: what fraction is 0.6 repeating)
a)
2/3
b)
6/10
c)
66/10
d)
1/3