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Worksheets

Number System Review

Total questions: 86

Worksheet time: 4hrs 3mins

Name
Class
Date
1.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
2.
Which number is rational below?
a)
√20
b)
√64
c)
d)
√7
3.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
4.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

5.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

6.
√4
a)
irrational
b)
rational
7.
√7
a)
Rational 
b)
Irrational
c)
real
d)
fake
8.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
9.
What is the approximate value of √12
a)
2
b)
3.5
c)
4.5
d)
6
10.
What two integers would √26 fall between
a)
3 and 4
b)
5 and 6
c)
6 and 7
d)
5 and 7
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.
What type of number is π ?
a)
Rational
b)
Irrational
13.
√4
a)
irrational
b)
rational
14.
-17.5
a)
Rational
b)
Irrational
c)
real
d)
fake
15.
.141414141414...
a)
Rational 
b)
Irrational 
c)
real
d)
fake
16.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
17.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
18.
Is the number rational or irrational?
a)
Rational - 
b)
Irrational
19.
Is the number rational or irrational?
a)
Rational
b)
Irrational
20.
Is the number rational or irrational?
a)
Rational
b)
Irrational
21.
Is the number rational or irrational?
a)
Rational
b)
Irrational
22.
Is the number rational or irrational?
a)
Rational
b)
Irrational
23.
Is the number rational or irrational?
a)
Rational
b)
Irrational
24.
Is the number rational or irrational?
a)
Rational
b)
Irrational
25.
Is the number rational or irrational?
a)
Rational
b)
Irrational
26.
Is the number rational or irrational?
a)
Rational
b)
Irrational
27.

1/2

a)

0.25

b)

0.5

c)

0.3

28.

1/3

a)

0.3

b)

0.3333333.....

c)

0.13

29.

1/4

a)

0.3

b)

0.4

c)

0.25

30.

4/5

a)

0.45

b)

0.8

c)

0.5

31.

2/5

a)

0.4

b)

2.5

c)

0.25

32.

3/5

a)

0.35

b)

0.6

c)

3.5

33.

1/5

a)

0.2

b)

0.15

c)

1.5

34.
Convert the following decimal to a fraction in simplest form.
0.6
a)
6/9
b)
3/5
c)
1/6
d)
0/6
35.
Convert the following decimal to a fraction in simplest form.
0.9
a)
1/9
b)
1/6
c)
1/3
d)
9/10
36.
Convert the following decimal to a fraction in simplest form.
0.11
a)
11/100
b)
1/11
c)
11/10
d)
1/1
37.
Convert the following decimal to a fraction in simplest form.
0.79
a)
7/9
b)
79/100
c)
21/50
d)
19/25
38.
Convert the following decimal to a fraction in simplest form.
0.1
a)
1/2
b)
1/10
c)
10/10
d)
1/5
39.
Convert the following decimal to a fraction in simplest form.
0.2
a)
1/2
b)
1/3
c)
1/4
d)
1/5
40.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
41.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
42.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
43.
a)
2   23/100
b)
2   23/10
c)
2   23/9
d)
2   23/99
44.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
45.
Identify the fraction equivalent to the decimal below.
a)
2 4/99
b)
2   4/9
c)
2   2/5
d)
2 4/10
46.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
47.
Convert 0.252525... to a fraction.
a)
25/9
b)
25/99
c)
25/100
d)
1/4
48.
Convert 1.5555... to a fraction.
a)
1 5/9
b)
1 5/10
c)
1 3/5
d)
1 6/10
49.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
50.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
51.
A rational number can be written as a fraction?
a)
True
b)
False
52.
-10 is a whole number?
a)
True
b)
False 
53.
0.89 is a rational number?
a)
True
b)
False 
54.
O is a whole number?
a)
True
b)
False
55.
-9 is an integer?
a)
True
b)
False
56.
6 is a rational number?
a)
True
b)
False
57.
-3.5 is an integer?
a)
True
b)
False
58.
Classify the number: -23
a)
Rational number
b)
Integer
c)
Whole number
d)
Natural number
59.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

60.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

61.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

62.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

63.

Classify the number (choose all that apply): 0.15555...

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

64.

Classify the number (choose all that apply): 0.15115111511115...

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

65.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

66.

A rational number is a real number

a)

Always

b)

Sometimes

c)

Never

67.

A real number is an irrational number

a)

Always

b)

Sometimes

c)

Never

68.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

69.

An integer is an irrational number

a)

Always

b)

Sometimes

c)

Never

70.

A rational number is a natural number

a)

Always

b)

Sometimes

c)

Never

71.

A natural number is a whole number

a)

Always

b)

Sometimes

c)

Never

72.
Estimate the square root.
a)
4.2
b)
4
c)
4.6
d)
5
73.
Estimate the square root.
a)
9.8
b)
9
c)
9.3
d)
10
74.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
75.
Round to the Nearest Tenth: √119
a)
10.9
b)
10.5
c)
11.1
d)
10
76.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
77.
What would be the best estimate for the √24
a)
5.6
b)
5.1
c)
4.1
d)
4.9
78.
Round to the Nearest Tenth: √7
a)
3.5
b)
2.7
c)
2.8
d)
14
79.
Round to the nearest tenth: √14
a)
3.4
b)
3.7
c)
3.6
d)
3.8
80.
Which of the following is closest to the value of √11?
a)
3
b)
3.2
c)
3.3
d)
3.4
81.
Make the percent to decimal.
25%
a)
2.5
b)
25
c)
0.025
d)
0.25
82.
Make the percent to decimal.
7%
a)
.007
b)
0.07
c)
7
d)
70
83.
Make the percent to decimal.
142%
a)
1.42
b)
14.2
c)
142.
d)
0.142
84.
Make the percent to decimal.
245%
a)
.245
b)
0.245
c)
2.45
d)
24.5
85.
Make the percent to decimal.
90%
a)
0.90
b)
9.0
c)
0.09
d)
0. 009
86.
Make the percent to decimal.
100%
a)
.0100
b)
10.0
c)
1.00
d)
0.001