GEOMETRY FORMULAS
Circle: 
Rectangle: P = 2L + 2W
A
= L ∙ W
Triangle: A = 
b∙h
Rectangular Prism: V =
L∙W∙H Cylinder: 
Cone: 
Sphere: 
1.) Round 2.7468 to the nearest 1000th.
2.) Convert to a fraction and reduce to lowest terms: 35%
3.) Fill in the
blank with < or >:
4.) Simplify: 
5.) Convert to a percent: 0.8
6.) Solve for x: 
7.) Convert to a
mixed number:
8.) Subtract and
reduce, if possible: 
9.) Divide: 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.
12.) 14 is 20% of what number?
13.) Simplify
using order of operations: 
14.) Subtract: 47 – 2.83
15.) Divide: (-30) ÷ (-5)
16.) Solve for x: 
17.) Simplify: 
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!): 
22.) Find the area of a circle with diameter 8 feet.
(Leave your
answer in terms of 
)
23.) Factor: 4x + 2y – 10z
24.) Convert to a
decimal: 
25.) Find the volume of the figure below:
 |
3 cm
1.5 cm
2 cm
26.) Subtract: -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.
28.) Simplify
using order of operations: 
29.) Add and
reduce, if possible: 
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: 0.08
35.) Multiply: (-8)∙(4)
36.) Write in
order from smallest to largest: 
, 0.09, 
, 0.5
37.) Solve for x: 
38.) Convert 
to a percent.
39.) The sum of three times a number and 18 is 114. Find the number.
40.) Find the perimeter and area of the triangle below:
 |
3.1 3.3 (height = 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: 2.4 to 3.6
45.) Write in words: 4.0023
46.) Simplify
using order of operations: 
47.) Multiply: 2.31 ∙ 4.2
48.) Simplify: (5a – 3b) – (2a + 4b)
A
Questions 49 and 50 refer to the triangle to the right:
B C
49.) If 
= 89° and 
= 37°, find 
.
50.) Is 
acute, obtuse, or
right?
ANSWERS
1.) 2.747 2.) 
3.) > 4.) x7
5.) 80% 6.) x = 16 7.) 
8.) 
9.) .23 10.) 12 inches 11.) $24 12.) x = 70
13.) 6 14.) 44.17 15.) 6 16.) x = 6
17.) 
18.) 59° 19.) x = 5 20.) TRUE
21.) FALSE 22.) 16 ft2 23.) 2(2x+1y-5z) 24.) .45
25.) 9 cm3 26.) -2 27.) 50% 28.) -11
29.) 
30.) 800 students 31.) 8 32.) 7
33.) 4 and 15 34.) 
35.) -32 36.) .09,.5,
37.) x = 3 38.) 120% 39.) x = 32 40.) P=10.4 A=4
41.) 120 ft3 42.) 
43.) 
44.) 
45.) four and
twenty-three ten-thousandths 46.) 
47.) 9.702 48.) 3a-7b 49.) 54° 50.) acute