Practice Final 4

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Math 092
Practice Final #4
GEOMETRY FORMULAS
Circle:
C  2 r or C   d
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 Solid: V = L∙W∙H
1
Cone: V   r 2 h
3
Sphere:
________________________________________________________________________
1.) TRUE or FALSE: 3+4 = 4+3 is an example of the associative property.
9
2.) Convert to a decimal:
40
17  5  (3  4)  (8)  (3)
3.) Simplify using order of operations:
9
4.) Convert
to a percent.
20
Questions 5 and 6 refer to a triangle ABC if mB  50 and mC  91.5
5.) Find mA.
6.) Is B acute, obtuse, or a right angle?
7.) Add:
8.) Add:
12.2 + 219.957
2 1
 
3 5
9.) Write in words:
17.05
(a  2b)  (5a  6b)
10.) Simplify:
11.) Find the perimeter of the square below:
2 meters
2
 10
5
13.) Find the volume of a cone if the radius is 3 ft and the height is 6 ft.
(Leave your answer in terms of  )
12.) Divide and reduce to lowest terms, if possible:
14.) Divide:
(48) ÷ (-6)
15.) Find the area of a triangle with base 10 in and height 5 in
Math 092
Practice Final #4
2
2
16.) Simplify using order of operations:
1 2 1
  
3 3 2
2 3
 x
3 4
18.) Convert to a fraction and reduce to lowest terms:
17.) Simplify: x 
0.004
19.) Divide: 2.583 ÷ 2.1
20.) Find the missing side of the right triangle below:
8
6
21.) Find the total cost of a compact disc priced at $15 if the sales tax is 6%.
22.) What percent of 250 is 50?
23.) What is 2% of 45.5?
24.) Find the prime factorization of 120
25.) Find the volume of the figure below:
2 yds
1.5 yds
3 yds
26.) Solve for x:
27.) Subtract:
3
x

6 20
-15 – 15
28.) Multiply and reduce, if possible:
1 5
1  3
2 9
29.) Find the supplement of an angle which measures 29°.
30.) Last week, Ken worked 32 hours and made $240.
How many hours would he have to work to earn $300?
31.) 20 is 40% of what number?
Math 092
Practice Final #4
3
32.) Is 0.2 an integer, rational, or irrational?
33.) Write as a unit rate: 56 miles in 2 hours
34.) Subtract:
63 – 7.134
3
______ 0.3
35.) Fill in the blank with < or >:
100
Questions 36, 37, and 38 refer to the following data:
3, 22, 1, 12, 17, 9, 10, 3, 2, 1
36.) Find the mean.
37.) Find the median.
38.) Find the mode(s).
39.) Simplify:
1 5
4 
3 6
40.) Answer TRUE or FALSE (explain your answer!):
1
 0 .3
3
41.) Answer TRUE or FALSE (explain your answer!):
 4 2  16
31
8
43.) Convert to a fraction and reduce to lowest terms:
44.) Convert to a percent:
0.7
13 1

45.) Subtract and reduce, if possible:
30 30
42.) Convert to a mixed number:
46.) Multiply:
2.4%
4.21 ∙ 2.3
47.) An Xbox 360 originally sold for $400. If it is now on sale for $300,
find the percent decrease.
1
1
,0.15, ,0.01
48.) Write in order from smallest to largest:
10
9
49.) Round 25.28557 to the nearest 1000th.
50.) Find the area of a circle with diameter 12 inches.
(Leave your answer in terms of  )
Math 092
Practice Final #4
4
ANSWERS:
1.) FALSE
2.) .225
7.) 232.157
8.)
11.) 8 m
12.)
17.) 2 x 
1
1
18.)
12
250
23.) .91
28.)
 16
3
34.) 55.866
7
15
3.) 46
5.) 38.5°
6.) acute
9.) seventeen and five hundredths
10.) -4a + 4b
13.) 18π ft3
14.) -8
15.) 25 in2
16.)
19.) 1.23
20.) 10
21.) $15.90
22.) 20%
24.) 23∙3∙5
25.) 9 yds3
26.) x=10
27.) -30
29.) 151°
30.) 40
31.) 50
32.) rational 33.) 28 mph
35.) <
36.) 8
37.) 6
38.) 1 and 3 39.) 5
1
25
40.) FALSE 41.) FALSE 42.) 3
46.) 9.683
4.) 45%
47.) 25%
7
8
48.) 0.01,
43.)
3
125
1 1
, ,0.15
10 9
5
9
1
5
2
5
44.) 70%
45.)
49.) 25.286
50.) 36π in2
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