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8-CHAPTER 3 TEST 2025-26

Total questions: 161

Worksheet time: 11hrs 1mins

Name
Class
Date
1.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
2.
An example of a whole number is:
a)
4/9
b)
-9
c)
5.2
d)
17
3.

The natural numbers are also called counting numbers.

a)

True

b)

False

4.

Integers include all whole numbers and the negative natural numbers.

a)

True

b)

False

5.

Rational numbers include fractions, decimals that end and decimals that repeat.

a)

True

b)

False

6.

Whole numbers always start with 1.

a)

True

b)

False

7.

Which number is irrational?

a)

.363636

b)

.25

c)

1.4568259....

8.

Which number is irrational?

a)

1/2

b)

3/4

c)

2\sqrt{2}

9.

Classify 15 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Irrational

c)

Natural, Whole, Rational, Irrational

10.

Indicate the two integers.

a)

11/5, 7

b)

-6, 6

c)

21/8, 4

11.

Classify .25252525.

a)

Natural

b)

Irrational

c)

Rational

12.

Classify 15 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Irrational

c)

Natural, Whole, Rational, Irrational

13.

Classify 0 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Natural, Integer, Irrational

c)

Whole, Integer, Rational

14.

Classify the number: -23

a)

Rational

b)

Integer

c)

Real, Rational, Integer

d)

Real, Rational, Whole

15.

Classify 17/10

a)

Whole

b)

Irrational

c)

Rational

d)

None of the above

16.

A number can be rational and irrational.

a)

True

b)

False

17.

Classify the Number: 2.587

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

18.

Natural numbers are:

a)

1.5, 2, 2.5, 3, . . .

b)

0,1,2,3,4,5...

c)

1, 2, 3, 4, . . .

d)

. . . , -2, -1, 0, 1, 2, . . .

19.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
20.
List all the classifications of numbers that apply to the real number. 
-18/6
a)
Rational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
21.

Which number is irrational?

a)

.363636

b)

.25

c)

1.4568259....

22.

Which number is irrational?

a)

1/2

b)

3/4

c)

2\sqrt{2}

23.

Is the answer to 25\sqrt{25}  rational?

a)

Yes

b)

No

24.

Is the answer to 11\sqrt{11}  rational?

a)

Yes

b)

No

25.

Classify 15 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Irrational

c)

Natural, Whole, Rational, Irrational

26.

Classify 0 in the real number system.

a)

Natural, Whole, Integer, Rational

b)

Natural, Integer, Irrational

c)

Whole, Integer, Rational

27.

Classify .25252525.

a)

Natural

b)

Irrational

c)

Rational

28.
A repeating decimal is what type of number?
a)
Rational 
b)
Integer
c)
Natural 
29.

-14 could NOT be which type of number?

a)

Integer

b)

Rational

c)

Real

d)

Whole

30.

Which number is an irrational number?

a)

9\sqrt{9}

b)

100\sqrt{100}

c)

49\sqrt{49}

d)

120\sqrt{120}

31.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

32.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

33.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

34.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
35.
An example of a whole number is:
a)
4/9
b)
-9
c)
5.2
d)
17
36.

Natural numbers are:

a)

1.5, 2, 2.5, 3, . . .

b)

0,1,2,3,4,5...

c)

1, 2, 3, 4, . . .

d)

. . . , -2, -1, 0, 1, 2, . . .

37.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
38.
Which comparison symbol should be placed between the two numbers?
a)
<
b)
c)
=
39.
Which comparison symbol should be placed between the two numbers?


a)
<
b)
c)
=
40.
Which comparison symbol should be placed between the two numbers?
-1.98                 -1.97
a)
<
b)
>
c)
=
41.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
42.
Compare.
1.75        1¾
a)
<
b)
>
c)
=
43.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
44.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
45.
Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2
a)
>
b)
<
c)
=
46.
When you're comparing numbers using the number line, the number to the farthest left is the...
a)
Smallest
b)
Greatest
47.

Fill in the blank with the correct sign >, < , or =
0.25 ________ 1/4

a)

>

b)

<

c)

=

48.

Which comparison symbol should be placed between the two numbers?
-2.1         -2.5

a)

<

b)

>

c)

=

49.

Compare.
3/5         0.6

a)

<

b)

=

c)

>

50.
Order 2/3, 4/5, 8/15 and 3/5 from least to greatest
a)
4/5, 2/3, 3/5, 8/15
b)
8/15, 3/5, 2/3, 4/5
c)
2/3, 3/5, 4/5, 8/15
d)
2/3, 4/5, 3/5, 8/15
51.
Mrs. Carrier wrote the following list of fractions on the board. 
1/6, 1/3, 1/4, 1/8
Which has the greatest value?
a)
1/6
b)
1/3
c)
1/4
d)
1/8
52.
Kennedy read for 1/4 of an hour, Claudia read for 1/6 of an hour, and Kai read for 2/8 of an hour. Which girls read an equal amount of time? 
a)
Kennedy and Claudia
b)
Kai and Claudia
c)
Kennedy and Kai
d)
No one read an equal amount of time
53.
3/5 is equivalent to:
a)
0.35
b)
0.15
c)
0.6
d)
0.30
54.
Johnny ate 0.6 of the pizza. Jimmy ate 2/5 of the pizza. Jordan ate 0.55 of the pizza. Who at the least amount of pizza?
a)
Johnny
b)
Jimmy
c)
Jordan
55.
Which correctly orders the following decimals and fractions from least to greatest?
3/12, 8/9, 0.75, 0.22
a)
0.22, 3/12, 0.75, 8/9
b)
0.22, 0.75, 8/9, 3/12
c)
8/9, 0.75, 3/12, 0.22
d)
0.75, 8/9 0.22, 3/12
56.
Which correctly orders the decimals and fractions from greatest to least?
0.563, 3/6,  0.69, 9/12
a)
9/12, 3/6, 0.69, 0.563
b)
0.563, 3/6, 0.69, 9/12
c)
9/12, 0.69, 0.568, 3/6
57.
Order -2/3, -0.8, 8/15 and 3/5 from least to greatest
a)
-0.8, -2/3, 8/15, 3/5
b)
8/15, 3/5, -2/3, -0.8
c)
-2/3, 3/5, -0.8, 8/15
d)
-2/3, -0.8, 3/5, 8/15
58.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
59.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
60.
Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2
a)
>
b)
<
c)
=
61.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
62.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
63.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
64.
Which is ordered in ascending order?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
65.
Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 
a)
0, -4 1/2, -4.2, 4, -4
b)
-4 1/2, -4.2, -4, 0, 4
c)
-4 1/2, -4.2, -4, 4, 0
66.
Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5
a)
-1.5, -1.15, -1.1, -1, -0.5
b)
-1.1, -1, -1.5, -1.15, -0.5
c)
-0.5, -1.1, -1, -1.5, -1.15
67.
Which is ordered in ascending order?
a)
1/2, 3/4, 1/4, 2/3
b)
1/2, 2/3, 1/4, 3/4
c)
1/4, 1/2, 2/3, 3/4
68.
Which is ordered in ascending order?
a)
-12.3, -12.75, -12, -12.25
b)
-12.75, -12.3, -12.25, -12
c)
-12.3, -12.75, -12.25, -12
69.

3 34   133\ \frac{3}{4\ }\ -\ \frac{1}{3}  

(a)  

70.

13+(16)-\frac{1}{3}+\left(-\frac{1}{6}\right)  

(a)  

71.

The temperature was 3 degrees on Monday and was 7.5 degrees lower the next day. What was the temperature on Tuesday?

(a)  

72.

37+45-\frac{3}{7}+\frac{4}{5}  

(a)  

73.

14(34)\frac{1}{4}-\left(-\frac{3}{4}\right)  

(a)  

74.

5105-10  

(a)  

75.

4.68+(1.24)-4.68+\left(-1.24\right)  

(a)  

76.

45+(38)-\frac{4}{5}+\left(-\frac{3}{8}\right)  

(a)  

77.

9.01(4.09)9.01-\left(-4.09\right)  

(a)  

78.

If Angelica is 5 steps to the right of the classroom door and Brian is 12 steps to the left, how many steps apart are they?

(a)  

79.

A rock climber is 0.74 miles above sea level. He ascends 0.18 mile and then descends 0.8 of a mile. How many miles from sea level is he now?

(a)  

80.

35+(15)\frac{3}{5}+\left(-\frac{1}{5}\right)  

(a)  

81.

23.43.4-23.4-3.4  

(a)  

82.

What is the range in temperatures if the high is 78 degrees and the low is -23 degrees?

(a)  

83.

14310\frac{1}{4}-\frac{3}{10}  

(a)  

84.

Jim biked

2 342\ \frac{3}{4}  miles on Monday and then  3 583\ \frac{5}{8}  miles on Tuesday. How many miles did he bike in total?



(a)  

85.

1 78(3 12)-1\ \frac{7}{8}-\left(-3\ \frac{1}{2}\right)  

(a)  

86.

A room is 3.4 meters wide and 2.6 meters long. How many meters is the perimeter of the room?

(a)  

87.

Solve.

a)

-1

b)

-3 2/3

c)

-3 1/3

d)

+1

88.

Solve.

a)

-15.7

b)

-44.7

c)

-16.7

d)

-15.3

89.

Solve.

a)

-62

b)

-35.2

c)

+35.2

d)

+62

90.

Solve.

a)

-3.4

b)

-3.6

c)

-16.4

d)

+3.4

91.

Simplify the product of 3/4 and 5/6.

a)

15/24

b)

7/12

c)

9/16

d)

3/10

92.

What is the result of dividing 2/3 by 4/5?

a)

5/6

b)

3/8

c)

7/10

d)

1/2

93.

Multiply 2 and 1/2 by 3 and 3/4.

a)

11/4

b)

7/8

c)

5/6

d)

75/8

94.

Divide 4 and 1/3 by 2 and 2/5.

a)

32/3

b)

65/6

c)

13/6

d)

65/12

95.

Find the product of 1/2 and 3/8.

a)

3/16

b)

7/32

c)

5/16

d)

1/4

96.

Simplify the division of 5/6 by 2/3.

a)

15/12

b)

3/4

c)

7/8

d)

10/9

97.

Multiply 1 and 1/4 by 2 and 2/3.

a)

5/6

b)

3/2

c)

7/4

d)

10/3

98.

Divide 3 and 3/4 by 1 and 1/2.

a)

4 and 1/4

b)

2 and 1/2

c)

3 and 1/2

d)

2 and 1/4

99.

Calculate the product of 2/5 and 3/7.

a)

4/35

b)

5/14

c)

6/35

d)

1/35

100.

What is the result of dividing 4/9 by 2/7?

a)

8/63

b)

14/9

c)

28/18

d)

2/3

101.
When multiplying fractions you do what?
a)
KCF
b)
Find the least common denominator
c)
Multiply all of the numbers together
d)
Multiply top times top and bottom times bottom
102.
A negative divided by a positive is a ________
a)
positive
b)
negative
103.

What is the sign of:

the product of two positive numbers?

a)

Positive

b)

Negative

c)

Zero

104.

Evaluate and simplify (reduce):

33412=3\frac{3}{4}\cdot\frac{1}{2}=  

a)

278\frac{27}{8}  

b)

158\frac{15}{8}  

c)

304\frac{30}{4}  

d)

152\frac{15}{2}  

105.

25 × 12\frac{2}{5}\ \times\ \frac{-1}{2}  

a)

25\frac{-2}{5}  

b)

110\frac{1}{10}  

c)

15\frac{-1}{5}  

d)

210\frac{2}{10}  

106.

Make sure your final answer is in simplest form.

a)
78-\frac{7}{8}

b)

78\frac{7}{8}

c)

6372-\frac{63}{72}

d)

6372\frac{63}{72}

107.

3 34÷5 12=-3\ \frac{3}{4}\div5\ \frac{1}{2}=  

(a)  

108.

15÷25=\frac{1}{5}\div-\frac{2}{5}=  

(a)  

109.

452=\frac{\frac{4}{5}}{2}=  

(a)  

110.

1425=\frac{-\frac{1}{4}}{\frac{2}{5}}=  

(a)  

111.

14(43)=-\frac{1}{4}\left(-\frac{4}{3}\right)=   

(a)  

112.

1 13(5 34)=1\ \frac{1}{3}\left(5\ \frac{3}{4}\right)=  

(a)  

113.

3435=\frac{\frac{3}{4}}{-\frac{3}{5}}=  

(a)  

114.

2329=-\frac{2}{3}\cdot\frac{2}{9}=  

(a)  

115.

8989=\frac{-\frac{8}{9}}{-\frac{8}{9}}=  

(a)  

116.

Match the division expression with the equivalent multiplication expression.


32÷14\frac{3}{2}\div\frac{1}{4}  

a)

32×41\frac{3}{2}\times\frac{4}{1}  

b)

23×14\frac{2}{3}\times\frac{1}{4}  

c)

23×41\frac{2}{3}\times\frac{4}{1}  

117.

Match the division expression with the equivalent multiplication expression.


123÷121\frac{2}{3}\div\frac{1}{2}  

a)

53×12\frac{5}{3}\times\frac{1}{2}  

b)

53×21\frac{5}{3}\times\frac{2}{1}  

c)

35×21\frac{3}{5}\times\frac{2}{1}  

d)

35×12\frac{3}{5}\times\frac{1}{2}  

118.

What is the reciprocal of  2 142\ \frac{1}{4}  ?

a)

94\frac{9}{4}

b)

49\frac{4}{9}  

c)

2 412\ \frac{4}{1}  

d)

4 124\ \frac{1}{2}

119.

Match the division expression with the equivalent multiplication expression.


6÷1126\div1\frac{1}{2}  

a)

6×1216\times1\frac{2}{1}  

b)

6×326\times\frac{3}{2}  

c)

6×236\times\frac{2}{3}  

d)

16×32\frac{1}{6}\times\frac{3}{2}  

120.

0.7 × 0.2=0.7\ \times\ 0.2=  

a)

1414  

b)

1.41.4  

c)

0.140.14  

d)

0.0140.014  

121.

400 × 0.2 =400\ \times\ 0.2\ =  

a)

0.80.8  

b)

88  

c)

8080  

d)

800800  

122.

Which division problem is equivalent to to following:

8.54÷0.58.54\div0.5  

a)

854÷0.5854\div0.5  

b)

854÷5854\div5  

c)

854÷50854\div50  

d)

854÷500854\div500  

123.

Which division problem is equivalent to to following:

0.09÷0.010.09\div0.01  

a)

9÷109\div10  

b)

9÷19\div1  

c)

9÷0.19\div0.1  

d)

9÷0.019\div0.01  

124.

What is the fraction eqivalent for the decimal  0.012 ?

a)

1210\frac{12}{10}  

b)

12100\frac{12}{100}  

c)

121000\frac{12}{1000}  

d)

121\frac{12}{1}  

125.

What is the fraction equivalent for the decimal  5.4 ?

a)

5410\frac{54}{10}

b)

541\frac{54}{1}

c)

54100\frac{54}{100}

d)

541000\frac{54}{1000}

126.

Estimate: Which multiplication expression would have a product of about -12?

a)

3.8×3.13.8\times3.1  

b)

4.9×3.2-4.9\times3.2  

c)

2.8×4.12.8\times-4.1  

d)

3.7×2.6-3.7\times-2.6  

127.

Estimate: Which multiplication expression would have a product of about 18?

a)

6.3×2.8-6.3\times2.8  

b)

5.9×3.2-5.9\times-3.2  

c)

6.1×3.8-6.1\times-3.8  

d)

5.9×3.5-5.9\times-3.5  

128.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

129.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

130.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

131.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

132.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

133.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

134.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

135.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

136.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

137.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

138.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

139.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

140.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

141.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

142.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

143.

Calculate the product of 2/5 and 3/8

a)

1/10

b)

5/16

c)

4/15

d)

6/40

144.

Find the sum of -2/3 and 1/6

a)

-1/2

b)

-1/6

c)

-1/4

d)

-1/3

145.

Subtract 5/6 from 7/8

a)

-1/24

b)

1/24

c)

1/48

d)

11/24

146.

What is the quotient of -5/6 divided by 1/3?

a)

-5/2

b)

-5/3

c)

-1/2

d)

5/6

147.

3[2.5 + (5.3 - 3.9)]

a)

11.7

b)

12.7

c)

11.6

d)

-11.7

148.

(2+34.3)÷3

a)

12.1

b)

13.43

c)

11.2

d)

12.2

149.
Evaluate the expression. Write the answer in simplest form. 
4/5 + 2/5 ÷ 4
a)
2/5
b)
6/5
c)
9/10
d)
2
150.
Evaluate the expression. Write the answer in simplest form. 
3/8 ÷ 3/4 - 1/6
a)
1/8
b)
1/6
c)
1/4
d)
1/3
151.

Calculate: (1/2 +1/3) - (1/2 -1/3)

a)

3/10

b)

2/3

c)

7/15

d)

3/8

152.

Evaluate (solve) the expression. Write the answer in simplest form. 
45 +25÷ 4\frac{4}{5\ }+\frac{2}{5}÷\ 4  

a)

25\frac{2}{5}  

b)

65\frac{6}{5}  

c)

910\frac{9}{10}  

d)

2

153.

Evaluate(solve) the expression. Write the answer in simplest form. 
25 + 245÷134\frac{2}{5}\ +\ 2\frac{4}{5}\div1\frac{3}{4}  

a)

2

b)

2452\frac{4}{5}  

c)

4

d)

4344\frac{3}{4}  

154.

5.2 (3.6 + 4) - 15

a)

17.72

b)

7.72

c)

14.52

d)

24.52

155.

25(3+1.2)×525-\left(3+1.2\right)\times5  

a)

4

b)

104

c)

116

d)

17.5

156.
What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)
a)
parentheses
multiplication
subtraction
division
b)
parentheses
multiplication
division
subtraction
c)
parentheses
division
multiplication
subtraction
d)
parentheses
subtraction
multiplication
division
157.
Evaluate the expression. Write the answer in simplest form. 
8/9 ÷ 2 ÷ 8
a)
1/18
b)
8/18
c)
2  1/18
d)
6
158.
Evaluate the expression. Write the answer in simplest form. 
1  1/2 ÷  1/6 - 7/8
a)
1  7/8
b)
5   5/6
c)
8  1/8
d)
9
159.
[(2.2×0.22)÷2]×22
a)
5.3
b)
5.324
c)
22.2
160.
(9-5)×(15+8.03)-16
a)
92.32
b)
76.32
c)
76.032
161.
0.2(18)+24
a)
0.276
b)
27.6
c)
2.76