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Final Exam Review 2025- (Unit5-Unit 8)

Total questions: 91

Worksheet time: 7hrs 35mins

Name
Class
Date
1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

3.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

4.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
5.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
6.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
7.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
8.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
9.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
10.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
11.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
12.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
13.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

14.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
15.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
16.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
17.
Find the measure of the indicated angle.
a)
42
⁰
⁰
⁰
b)
51
c)
36
d)
45
18.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
19.
a)
A
b)
B
c)
C
d)
D
20.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
21.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

22.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

23.
a)
A
b)
B
c)
C
d)
D
24.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
25.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
26.

What is the measure of angle P in this figure?

a)

60

b)

90

c)

150

d)

300

27.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

28.

What is the measure of "?"

a)

60o

b)

120o

c)

240o

d)

180o

29.
QS is a tangent to circle P.  Find QS.
a)
144
b)
14
c)
12
d)
13
30.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

31.

Solve for the missing side.

a)

6.3

b)

10.4

c)

7.2

d)

8.9

32.

Which shows a tangent line?

a)
b)
c)
d)
33.

A tangent intersects the circle at:

a)

One point

b)

Two distinct point

c)

Never intersects

d)

None of the above

34.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

x2 + (y -7)2 = 9

c)

(x - 7)2 + y2 = 3

d)

x2 + (y -7)2 = 3

35.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)2 + (y - 3)2 = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

36.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

37.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

38.

What is the radius of the circle

(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

24

d)

144

39.

MUST DO: Elsie bought a circular rug that is 9 feet in diameter. What is the circumference of the rug rounded to the nearest tenth of a foot?

a)

4.5 feet

b)

14.1 feet

c)

28.3 feet

d)

56.5 feet

40.

MUST DO: What is the approximate area of the circle above?

a)

44 inches squared

b)

154 inches squared

c)

616 inches squared

41.

MUST DO: The radius of a circle is 12 cm. What is the approximate circumference of the circle?

a)

75 cm

b)

38 cm

c)

24 cm

42.

MUST DO: The diameter of a circle is 8 cm. What is the approximate area of the circle?

a)

25 cm squared

b)

50 cm squared

c)

201 cm squared

43.

MUST DO: A flower pot has a circumference of 35 inches. What is the approximate length of the radius of the flower pot?

a)

3.3 inches

b)

5.6 inches

c)

6.8 inches

d)

11.1 inches

44.

MAY DO: A circular track with a diameter of 60 meters is shown. Shaleah walked around the track 4 times. Approximately how many meters did she walk?

a)

377

b)

2826

c)

754

d)

11,304

45.

MAY DO: Sadie has 38 inches of fringe to sew around a circular pillow. What is the approximate diameter of the largest pillow she can use?

a)

6 inches

b)

9 inches

c)

10 inches

d)

12 inches

46.

MAY DO: The circumference of a circle is 188 meters. What is the approximate radius of the circle?

a)

128 meters

b)

94 meters

c)

60 meters

d)

30 meters

47.

ENRICHMENT: A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24 cm. What is the approximate difference in the circumferences of the two circles?

a)

19.5 cm

b)

28.5 cm

c)

61 cm

d)

90 cm

48.

ENRICHMENT: A circular table top has an area of 324 square inches. Which measurement is closest to the radius of the table top in inches?

a)

10.2

b)

18.0

c)

56.5

d)

103.1

49.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
50.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
51.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
52.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
53.
V = ?
a)
1,077.02 yd3
b)
269.255 yd3
c)
153.86 yd3
54.

A cylindrical container has a diameter of 12 inches and a height of 15 inches. What is the volume of this container to the nearest tenth?

a)

4,241.2

b)

1,696.5

c)

2,160.0

d)

6,785.8

55.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
56.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
57.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
58.
Find the volume of the 3Dimensional shape
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
59.
solve for c
a)
7
b)
9
c)
4
d)
13
60.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
61.
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.
a)
345.8
b)
523.6
c)
1436
d)
205.1
62.
Find the volume of a HEMIsphere with a radius of 4. 
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
63.
Find the volume of the hemisphere
a)
904.3 in3
b)
226.1in3
c)
113.0 in3
d)
452.2 in3
64.

What is volume?

a)

The amount of space in a 2-D object

b)

The amount of space in a 3-D object

c)

Water

d)

Area

65.
How much grain could fit in this silo? Round your answer to the nearest cubic meter.
a)
810 m3
b)
733 m3
c)
581 m3
d)
177 m3
66.
A number cube numbered (1, 2, 3, 4, 5, 6)  is rolled and a spinner with 4 sections (A, B, C, D) is spun. P(1 and A)
a)
1/24
b)
1/12
c)
1/6
d)
2/24
67.
A number cube numbered (1, 2, 3, 4, 5, 6)  is rolled and a spinner with 4 sections (A, B, C, D) is spun. P(odd and B)
a)
2/8
b)
1/8
c)
1/16
d)
3/4
68.
What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of cards?
a)
1 ⁄ 10
b)
1 ⁄ 12
c)
1 ⁄ 24
d)
1 ⁄ 6
69.
Find the probability:
You rolled a fair six-sided die twice.  the first roll shows a 5 and the second roll shows a 6.
a)
1/72
b)
1/6
c)
1/36
70.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
71.
Dependent or Independent:
You flip a coin and then roll a fair six-sided die.  The coin lands heads-up and the die shows a one.
a)
Dependent
b)
Independent
72.
Dependent or Independent:
A box of chocolates contain 5 milk chocolates, 5 dark chocolates, and 5 white chocolates.  You randomly select and eat 3 chocolates.  The first piece is milk chocolate, the second is dark chocolate, and the third white chocolate.
a)
Dependent
b)
Independent
73.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
74.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?  Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually Exclusive
75.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
76.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
77.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400
78.
P(Pizza) =
a)
182/400
b)
120/400
c)
58/200
d)
200/400
79.
P(Pizza ∪ Water) =
a)
182/400 + 140/400 - 58/400
b)
182/400 + 140/400 - 0
c)
58/400 + 140/400 -182/400
d)
182 + 140 - 58
80.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

81.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

82.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

83.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

84.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
85.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
86.
What is the probability of passing this class, if you do all your work?
a)
25%
b)
60%
c)
83%
d)
100%
87.
You roll a 2 on a number cube and spin a 3 on a spinner. Is an example of __________ event?
a)
Independent
b)
Depenedent
88.
A game consists of rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green pays $2.00. A roll of blue pays $5.00.   The charge to play the game is $2.00. What is the expected value
a)
$0
b)
-$0.50
c)
$.67
d)
$-1.50
89.

Determine whether the question would be a permutation or combination: Twenty students are running for 3 different positions on student council. In how many ways can the 3 positions be filled?

a)

Permutation

b)

Combination

90.
Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?
a)
336
b)
56
c)
24
d)
100
91.

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. What is the expected value (after paying for the ticket)?

a)

$800

b)

-$6.50

c)

-$6

d)

-$5.20

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