Math 092
Practice Final #2
GEOMETRY FORMULAS
Circle:
C  2 r
A  r2
Triangle:
A=
1
Rectangle:
P = 2L + 2W
A=L∙W
Cylinder:
V   r 2h
4
V   r3
3
1
b∙h
2
Rectangular Prism: V = L∙W∙H
1
Cone: V   r 2 h
3
Sphere:
1.) Round 2.7468 to the nearest 1000th.
2.) Convert to a fraction and reduce to lowest terms:
3.) Fill in the blank with < or >:
35%
2
______ 0.2
9
2
1
4.) True or false:    1
2
5.) Convert to a percent:
6.) Solve for x:
0.8
3x
 12
4
7.) Convert to a mixed number:
8.) Subtract and reduce, if possible:
9.) Divide:
41
6
5 1

16 16
0.276 ÷ 1.2
10.) Find the perimeter of the rectangle below:
2 inches
4 inches
11.) A DVD is priced at $30. If it goes on sale for 20% off, find the sale price.
Math 092
Practice Final #2
2
12.) 14 is 20% of what number?
13.) Simplify using order of operations:
14.) Subtract:
15.) Divide:
4 2  2  (3  8)
47 – 2.83
(-30) ÷ (-5)
16.) Simplify: 4( x  5)  2 x  8
17.) Find the prime factorization of 80.
18.) Find the complement of 31°.
19.) Find the missing side of the right triangle below:
13
12
20.) Answer TRUE or FALSE (explain your answer!):
21.) Answer TRUE or FALSE (explain your answer!):
2 .5 5

3
6
12
0
0
22.) Find the area of a circle with diameter 8 feet.
(Leave your answer in terms of  )
23.) Which of the following numbers is irrational? 0.23 ,
9
20
25.) Find the volume of the figure below:
24.) Convert to a decimal:
3 cm
1.5 cm
2 cm
36 ,  ,
1
5
Math 092
Practice Final #2
26.) Subtract:
3
-12 – (-10)
27.) Three years ago, Ken’s job earned him $8 per hour.
If he now earns $12 per hour, find the percent increase in his wages.
2
 10  (3  4)
5
28.) Simplify using order of operations:
29.) Add and reduce, if possible:
3 2

8 5
30.) The ratio of students to teachers at a certain school is 20:1.
How many students are there if the school employs 40 teachers?
Questions 31, 32, and 33 refer to the following data:
5, 10, 4, 15, 15, 2, 4, 9
31.) Find the mean.
32.) Find the median.
33.) Find the mode(s).
34.) Convert to a fraction and reduce to lowest terms:
35.) Multiply:
(-8)∙(4)
36.) Write in order from smallest to largest:
37.) Solve for x:
38.) Convert
0.08
3
7
, 0.09,
, 0.5
4
10
4 x

12 9
6
to a percent.
5
39.) A 6 foot piece of wood is cut into
3
foot segments. How many pieces are there?
4
40.) Find the perimeter and area of the triangle below:
3.1
3.3
4
(height = 2)
Math 092
Practice Final #2
4
41.) Find the volume of a cone if the radius is 6 ft and the height is 10 ft.
(Leave your answer in terms of  )
42.) Divide and reduce to lowest terms, if possible:
43.) Convert to an improper fraction:
44.) Write as a ratio in lowest terms:
45.) Write in words:
3
 12
4
2
3
2.4 to 3.6
5
4.0023
2
46.) Simplify using order of operations:
47.) Multiply:
48.) Simplify:
2 3
1
   
3 8
3
2.31 ∙ 4.2
(5a – 3b) – (2a + 4b)
A
Questions 49 and 50 refer to the triangle to the right:
B
49.) If mB = 89° and mC = 37°, find mA .
50.) Is B acute, obtuse, or right?
C
Math 092
Practice Final #2
5
ANSWERS
1.)
2.747
2.)
7
20
3.)
>
5.)
80%
6.)
x = 16
7.)
6
9.)
.23
10.)
12 inches
11.)
13.)
6
14.)
44.17
17.)
24  5
18.)
21.)
FALSE
25.)
4.)
false
8.)
1
4
$24
12.)
x = 70
15.)
6
16.)
2x-12
59°
19.)
x=5
20.)
TRUE
22.)
16  ft2
23.)

24.)
.45
9 cm3
26.)
-2
27.)
50%
28.)
-11
29.)
31
40
30.)
800 students 31.)
8
32.)
7
33.)
4 and 15
34.)
2
25
35.)
-32
36.)
.09,.5,
37.)
x=3
38.)
120%
39.)
8
40.)
P=10.4 A=4
41.)
120 
42.)
1
16
43.)
17
3
44.)
2
3
45.)
four and twenty-three ten-thousandths
46.)
13
36
47.)
9.702
50.)
acute
ft3
48.)
3a-7b
49.)
5
6
54°
7 3
,
10 4