Math 2
Final Exam Review
Topics Covered: Unit 4 – Similarity
Unit 5 – Trigonometry
Unit 6 – Area and Volume
Name _________________________________
Date _____________________________
Unit 7 – Functions
Unit 8 – Probability
1.

PQR is similar to

XYZ.
What is the perimeter of

XYZ? a) 21 cm b) 63 cm c) 105 cm a) 3 feet b) 16 feet c) 36 feet d) 192 feet d) 126 cm
2. The shadow cast by a one-foot ruler is 8 inches long. At the same time, the shadow cast by a pine tree is
24 feet long.
What is the height, in feet, of the pine tree?
3. If triangles ADE and ABC shown in the figure
to the right are similar, what is the value of x ?
a) 4 b) 5 c) 6 d) 8 e) 10
4. In the figure to the right, the two triangles
are similar. What is the value of x ? a) 12.4 b) 13.2 c) 14 d) 18.6 e) 22.1
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

4.
3.
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Page 3
1. Solve for the value of a in the following triangle.
A) 36 B) 18 C) 10.39
2. Solve for the value of b in the following triangle.
A) 18 B) 10.39 C) 50.91
D) 31.18
D) 25.46
3. Find the area of the rectangle below.
A) 110.85 cm
2
B) 64 cm
2
C) 128 cm
2
D) Not enough information
4. Which diagram correctly illustrates an angle of elevation of 32

?
A) B)
32

32

5. Mr. Francetic is on a 32 ft. ladder cleaning the gutter. The ladder makes a 58
 angle with the ground.
How high is the gutter?
A) 51.2 ft B) 37.7 ft C) 27.1 ft D) 17 ft
OVER


6. Solve for
A) 70.0
o

in the diagram to the right.
B) 20 o
C) 18.9
o
D) 71.1
38 o
13

Page 4
7. Mr. Mackar is stuck at the top of the first hill of the Millenium Force.
The first hill has an elevation of
310 feet. Mr. Mackar notices Ms. Heinl at a horizontal distance of 780 feet from the base of the first hill.
Find the angle of depression from Mr. Mackar to Ms. Heinl.
A) 90 o
B) 21.7
o
C) 68.3
o
D) 23.4
o
3.
1. The area of trapezoid ABCD , shown below, is 105 square units. What is the length of base AD , in
linear units?
2.
A cell phone can transmit a call anywhere within a 50-mile radius from the transmission point.
What is the exact area of the transmission region?
4.
What is the radius of an oblique cylinder that has a volume of 722
 mm
3 and a height of 8mm?

Page 5
5.
What is the volume of a sphere with diameter 2.5 cm?
6.
Estimate to the nearest tenth the area of the circle with circumference of 18
 units.
7.
Find the volume:
In numbers 1 and 2, use the graph at the right:
1. What is the domain of the graph?
A) all real numbers B) x

0
2. What is the range of the graph?
A) all real numbers B) y

0
C) x

2
C) y

2
D) x

1
D) y

1
3. What is the domain (D) and range (R) of


8 x
2
?
A) D: all real numbers
R: all real numbers
C) D: all real numbers, x

0
R: y

0
B) D: all real numbers, x

0
R: y

0
D) D: x

0 , x

0
R: all real numbers
( )
 x
2 
4 ?
4. What is the domain (D) and range (R) of
A) D: all real numbers
R: all real numbers
C) D:
R: y
4

4 x 4
B) D: all real numbers
R: y

4
D) D: all real numbers
R: y

4
OVER


5. Solve the following equations.
10
 
3 x x
2  
2 x
6. Rate of Change:
500

5 x x x
2 
11 x

10
  
2
Page 6

In 1- 7, Consider tossing 2 fair dice. Refer to the sample space from previous worksheets.
1. Find the probability of rolling doubles and a sum less than 8.
2. Find the probability of rolling doubles or a sum less than 8.
3. Find the probability of rolling a sum of 6 and a sum of 12.
4. Find the probability of rolling a sum of 6 or a sum of 12.
5. Find the probability of rolling a sum of 4 and a product of 4.
6. Find the probability of rolling a sum of 4 or a product of 4.
7. Use the idea of a complement to find the probability that a sum is less than 11.
8.
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11.
12.
10.
9.
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