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Worksheets

Math Final Exam Practice

Total questions: 102

Worksheet time: 6hrs 12mins

Name
Class
Date
1.

Comparing Integers: Choose the correct symbol to make this true. 15 __ -15

a)

>

b)

<

c)

=

d)

2.

Comparing Integers: Choose the correct symbol to make this true. 92 __ 63

a)

>

b)

<

c)

=

d)

3.

Order from least to greatest: 6, -5, 3, -9, 0, -3

a)

-9, -5, -3, 0, 3, 6

b)

-9, -3, -5, 0, 3, 6

c)

-5, -9, -3, 0, 3, 6

d)

-9, -5, 0, -3, 3, 6

4.

Name a number that is not an integer.

a)

0.24 (any fraction or decimal)

b)

3

c)

-1

d)

0

5.

Name the largest negative integer.

a)

-1

b)

-2

c)

-10

d)

-100

6.

Name the smallest positive integer.

a)

1

b)

2

c)

0

d)

3

7.

What is the absolute value of 4?

a)

4

b)

-4

c)

0

d)

-2

8.

What is the absolute value of -4?

a)

4

b)

-4

c)

0

d)

-8

9.

Absolute value bars are evaluated like parentheses. Do whatever is inside the bars first, and then find the absolute value. | 102 | - | -2 |

a)

100

b)

104

c)

-100

d)

-104

10.

Absolute value bars are evaluated like parentheses. Do whatever is inside the bars first, and then find the absolute value. | 102 - 2 |

a)

100

b)

-100

c)

104

d)

0

11.

Absolute value bars are evaluated like parentheses. Do whatever is inside the bars first, and then find the absolute value. | 12 | + | -16 |

a)

28

b)

4

c)

-28

d)

-4

12.

Absolute value bars are evaluated like parentheses. Do whatever is inside the bars first, and then find the absolute value. | 12 - 16 |

a)

4

b)

-4

c)

28

d)

16

13.

Simplify the expression. Start from the inside and work it out: - ( - ( -4 ) )

a)

-4

b)

4

c)

0

d)

-8

14.

Simplify the expression. Start from the inside and work it out: - ( - ( - ( -36 - 4 ) ) )

a)

-40

b)

40

c)

-32

d)

32

15.

Simplify the expression. (Start from the inside and work it out) (3)2(-3)^2

a)

9

b)

-6

c)

-9

d)

6

16.

12 - 20 = ______

a)

-8

b)

8

c)

-32

d)

32

17.

-20 - 10 + 5 = ______

a)

-25

b)

-35

c)

-15

d)

-5

18.

(100) × (-7) = ______

a)

-700

b)

700

c)

-107

d)

-170

19.

(-6) × (13) = ______

a)

-78

b)

78

c)

-19

d)

67

20.

-9 × (-11) = ______

a)

99

b)

-99

c)

-20

d)

20

21.

A dolphin swam to a depth of 110 feet below sea level. Then, it rose 85 feet. What was the dolphin's final depth?

a)

25 feet below sea level

b)

195 feet below sea level

c)

110 feet below sea level

d)

85 feet below sea level

22.

The temperature outside was 22°F. The wind chill made it feel like -8°F. Find the difference between the real temperature and the apparent temperature. ______ degree difference!

a)

30 degree difference!

b)

14 degree difference!

c)

20 degree difference!

d)

32 degree difference!

23.

Write 17/5 as a mixed number.

a)

3 2/5

b)

2 3/5

c)

3 1/5

d)

4 1/5

24.

Write -20/6 as a mixed number.

a)

-3 1/3

b)

2 2/3

c)

4 1/6

d)

3 2/3

25.

Write 2 1/3 as a fraction.

a)

7/3

b)

5/3

c)

8/3

d)

6/3

26.

Write 3 2/5 as a fraction.

a)

17/5

b)

7/5

c)

15/2

d)

8/5

27.

Write each ratio as a FRACTION in SIMPLEST FORM. 3/12 = ________

a)

1/4

b)

1/3

c)

1/2

d)

3/4

28.

Write each ratio as a FRACTION in SIMPLEST FORM. 46) 20 to 5 = ________

a)

4/1

b)

5/4

c)

2/5

d)

1/4

29.

Write each ratio as a FRACTION in SIMPLEST FORM. 47) 30 : 18 = ________

a)

5/3

b)

3/5

c)

15/9

d)

10/6

30.

A bag contains 6 peaches, 4 plums, and 3 bananas. What is the ratio of plums to peaches?

a)

2/3

b)

1/2

c)

3/4

d)

3/2

31.

A bag contains 5 red marbles, 7 blue marbles, and 3 green marbles. What is the ratio of blue marbles to the number of marbles in the bag?

a)

7/12

b)

15/7

c)

7/15

d)

3/15

32.

51) 2 4/5 - 1/4 = ________

a)

2 11/20

b)

2 3/5

c)

2 7/10

d)

2 9/20

33.

-2/5 + (-5/6) = ________

a)

-1 7/30

b)

-1 1/30

c)

-7/11

d)

-13/30

34.

-5/6 × -1 4/5 = ________

a)

1 1/2

b)

-1 1/2

c)

5/6

d)

-7/6

35.

Find the multiplicative inverse (reciprocal) of each fraction. 4/7 _______

a)

7/4

b)

4/3

c)

3/7

d)

7/3

36.

Find the multiplicative inverse (reciprocal) of each fraction. 2/11 _______

a)

11/2

b)

2/11

c)

-11/2

d)

-2/11

37.

3 3/4 ÷ 2 1/2 _______

a)

1 1/2

b)

2 1/4

c)

1 1/4

d)

2

38.

4/5 ÷ -6 _______

a)

-2/15

b)

2/15

c)

-4/11

d)

4/5

39.

Round each of the following to the specified place. 58.6857 Nearest Whole: _______

a)

59

b)

58

c)

60

d)

57

40.

Round each of the following to the specified place. 58.6857 Tenths: _______

a)

58.7

b)

58.6

c)

58.68

d)

58.69

41.

Round each of the following to the specified place. 58.6857 Hundredths: _______

a)

58.69

b)

58.68

c)

58.70

d)

58.67

42.

Round each of the following to the specified place. 58.6857 Thousandths: _______

a)

58.686

b)

58.685

c)

58.687

d)

58.680

43.

List the following numbers in order from least to greatest: 6.6, 6.75, 6.07, 6.7

a)

6.07; 6.6; 6.7; 6.75

b)

6.6; 6.07; 6.7; 6.75

c)

6.75; 6.7; 6.6; 6.07

d)

6.07; 6.75; 6.6; 6.7

44.

Using <, > or =, compare the following. 0.0604 ___ 0.0620

a)

<

b)

>

c)

=

d)

None of these

45.

Using <, > or =, compare the following. -2.0 ___ -2.8

a)

>

b)

<

c)

=

d)

46.

Change into a decimal. 1/8

a)

0.125

b)

0.25

c)

0.8

d)

0.012

47.

Change into fraction or mixed number. 0.75 = ___

a)

75/100

b)

7/10

c)

3/4

d)

0.75/1

48.

Adding and Subtracting Decimals: -2.34 - 0.4 = ___

a)

-2.74

b)

-2.94

c)

-1.94

d)

-2.44

49.
12 less than a number
a)
n – 12
b)
12 – n
50.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
51.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
52.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
53.

Simplify:

5(6n - 2) - 13

a)

11n - 20

b)

30n - 3

c)

30n - 23

d)

11n - 6

54.

List all of the factors of 32

(a)  

55.

What is the GCF of 20 and 44?

a)

4

b)

2

c)

22

d)

1

56.

Factor each expression. If cannot be factored, write cannot be factored. All lowercase letters, no punctuation. Factor format: GCF(a+b) no spaces between letters, numbers and operations. The greatest common factor is outside the parentheses and the leftover factors are inside.

18x + 6

(a)  

57.

Factor each expression. If cannot be factored, write cannot be factored. All lowercase letters, no punctuation. Factor format: GCF(a+b) no spaces between letters, numbers and operations. The greatest common factor is outside the parentheses and the leftover factors are inside.

10x - 35

(a)  

58.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

59.

Level 4

What is the first step to solve this equation?

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

60.
Solve for x.
a)
x = 21
b)
x = 7
c)
x = −21
d)
x = 4
61.
a)

8

b)

-8

c)

32

d)

12

62.
a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

63.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
64.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
65.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
66.

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

a)

$760

b)

$76

c)

7600

d)

$76000

67.

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

a)

67.50

b)

40.00

c)

87.50

d)

nothing

68.

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take?

a)

197.50

b)

187.50

c)

200

d)

0

69.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
70.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
71.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
72.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
73.
Solve for x
a)
18
b)
12
c)
6.75
d)
85.3
74.
78 is what percent of 450?
a)
5%
b)
10%
c)
17.33%
d)
18%
75.
Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do take the bus to school?
a)
15
b)
20
c)
30
d)
35
76.
There are 28 students in class. 75% of them took the bus to school. How many students took the bus to school?
a)
21 students
b)
2.1 students
c)
75 students
d)
28 students
77.
There are 28 students in class. 7 students wear glasses. What percent of the students in class wear glasses?
a)
7
b)
7%
c)
25%
d)
196%
78.

A bag has 3 red marbles, 2 blue, 1 yellow and 4 green. What is the theoretical probability of pulling a red?

a)

3/9

b)

3/10

c)

1/10

d)
1/3
79.
Roberto wants to know the favorite sport of adults in his hometown.  He surveys 50 adults at a baseball game.  Is this random or biased sampling?
a)
Random
b)
Biased
80.
What is a the meaning for "median"?
a)
fair share
b)
middle
c)
repeats the most
d)
variation
81.
What does "mode" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
82.
What does "mean" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
83.
Find the mode of these numbers:
4,3,6,4,3,6,6,3,2,1,3
a)
3
b)
6
c)
4
d)
2
84.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
85.

A bag contains 4 red marbles, 7 blue marbles and 5 green marbles. What is the probability of NOT choosing a red marble if the answer was to be simplified.

a)
4/16
b)
3/16
c)
3/4
d)
12/16
86.

What is the median height (in cm) of the following:
140, 148, 150, 152, 155, 157, 159, 160, 161, 164, 165, 166

a)

157 cm

b)

158 cm

c)

159 cm 

d)

none of these

87.

The fundamental counting principle

a)

Tells you the probability of an event.

b)

Tells you how many different possible outcomes there are.

c)

Helps you convert a fraction into a percent.

d)

Shows you the outcomes that don't appear in a tree diagram.

88.

If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?

a)

8, because 4 x 2 = 8

b)

6, because 4 + 2 = 6

c)

16, because 2 x 2 x 2 x 2 = 16

d)

256, because 4 x 4 x 4 x 4 = 256

89.

What is the area for this rectangle if its base is 7 units and its height is 12 units.

a)

84 units2

b)

42 units2

c)

63 units2

d)

84 units

90.

If the base of this triangle is 12 units, and its height is (a)   units, then the area would be 36

91.

If the base of this triangle is ____ inches, and its height is 7 in, then the area is 14

a)

4

b)

8

c)

2

d)

12

92.

What is the area of the shape?

a)

136 mm2mm^2

b)

117 mm2mm^2

c)

101 mm2mm^2

d)

82 mm2mm^2

93.

Chloe colors a border around a drawing. The height of the drawing is 2 in. greater than the 6-in. base. What is the area of the border?

a)

51 in2

b)

99 in2

c)

54 in2

d)

48 in2

94.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
95.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
96.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
97.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12
98.
Find the circumference of a circle with a radius of 13.5 mm.
a)
37.68mm
b)
18.84mm
c)
84.78 mm
d)
none of the above
99.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
100.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
101.
a)
x = 54
b)
x = 9
c)
x = 24
d)
x = 144
102.
Find the measure of angle K.
a)
9
b)
97°
c)
48°
d)
79°