Math 092 Practice Final #4 1
GEOMETRY FORMULAS
Circle: or Rectangle: P = 2L + 2W
A = L ∙ W
Triangle: A = b∙h
Rectangular Solid: V = L∙W∙H Cylinder:
Cone: Sphere:
______
1.) Find a number such that of it is 24.
2.) Convert to a decimal:
3.) Simplify using order of operations:
4.) Convert to a percent.
Questions 5 and 6 refer to a triangle ABC if and
5.) Find
6.) Is acute, obtuse, or a right angle?
7.) Add: 12.2 + 219.957
8.) Add:
9.) Write in words: 17.05
10.) Simplify:
11.) Find the perimeter of the square below:
2 meters
12.) Divide and reduce to lowest terms, if possible:
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 )
14.) Divide: (48) ÷ (-6)
15.) Find the area of a triangle with base 10 in and height 5 in
16.) Simplify using order of operations:
17.) Solve for x:
18.) Convert to a fraction and reduce to lowest terms: 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.) Factor:
25.) Find the volume of the figure below:
2 yds
1.5 yds
3 yds
26.) Solve for x:
27.) Subtract: -15 – 15
28.) Multiply and reduce, if possible:
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?
32.) Simplify:
33.) Simplify:
34.) Subtract: 63 – 7.134
35.) Fill in the blank with < or >:
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.) Solve for x:
40.) Answer TRUE or FALSE (explain your answer!):
41.) Answer TRUE or FALSE (explain your answer!):
42.) Convert to a mixed number:
43.) Convert to a fraction and reduce to lowest terms: 2.4%
44.) Convert to a percent: 0.7
45.) Subtract and reduce, if possible:
46.) Multiply: 4.21 ∙ 2.3
47.) An Xbox 360 originally sold for $400. If it is now on sale for $300,
find the percent decrease.
48.) Write in order from smallest to largest:
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 )
ANSWERS:
1.) 24 2.) .225 3.) 46 4.) 45% 5.) 38.5° 6.) acute
7.) 232.157 8.) 9.) seventeen and five hundredths 10.) -4a + 4b
11.) 8 m 12.) 13.) 18π ft3 14.) -8 15.) 25 in2 16.)
17.) 18.) 19.) 1.23 20.) 10 21.) $15.90 22.) 20%
23.) .91 24.) 6(x-3y-4z) 25.) 9 yds3 26.) x=10 27.) -30
28.) 29.) 151° 30.) 40 31.) 50 32.) 33.)
34.) 55.866 35.) < 36.) 8 37.) 6 38.) 1 and 3 39.) x=23
40.) FALSE 41.) FALSE 42.) 43.) 44.) 70% 45.)
46.) 9.683 47.) 25% 48.) 49.) 25.286 50.) 36π in2