Answers110 CCHS GeometryCumulative Exam

Cumulative Exam — Cumulative exam Answers

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The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

Question illustration
A
47
B
50
C
67
D
86
26
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A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

Question illustration
A
π(4.53) – (4.5)3
Option A
B
(9)3 – π(4.52)
Option B
C
π(4.53) – (9)3
Option C
D
(9)3 – π(4.53)
Option D
27

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Question illustration
A
cos(53o) =
Option A
B
cos(53o) =
Option B
C
cos(53o) =
Option C
D
cos(53o) =
Option D
28

Point F is on circle C.

Question illustration
A
12.5 units
B
15.0 units
C
17.5 units
D
20.0 units
29

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

A
The sum of P(A) and P(B) is less than P(A or B).
B
The product of P(A) and P(B) is less than P(A or B).
C
The product of P(A) and P(B) is not equal to P(A or B).
D
The sum of P(A) and P(B) is not equal to P(A or B).
30

The octagon below is rotated around the line segment PQ.Which solid results from the rotation?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
31

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
32

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

Question illustration
A
519π units3
B
681π units3
C
(600π – 81) units3
D
(600 – 81π) units3
33

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
34

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

A
2 units
B
4 units
C
6 units
D
8 units
35

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

A
π more meters
B
2π more meters
C
4π more meters
D
5π more meters
37

Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
38

Segment MP is a diameter of circle O.

Question illustration
A
m + 150 = 180
Option A
B
m + 150 = 360
Option B
C
m – 150 = 180
Option C
D
m – 150 = 360
Option D
39

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

Question illustration
A
23 in.
B
24 in.
C
25 in.
D
26 in.
40

The figure shows a planetarium’s viewing room, which is in the shape of a hemisphere.

Question illustration
A
10,416.7 cu. ft.
B
16,354.2 cu. ft.
C
32,708.3 cu. ft.
D
65,416.7 cu. ft.
41

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

A
The slant height of the larger cone is equal to the slant height of the smaller cone.
B
The slant height of the larger cone is double the slant height of the smaller cone.
C
The slant height of the larger cone is 4 times the slant height of the smaller cone.
D
The slant height of the larger cone is 8 times the slant height of the smaller cone.
42

Triangle BDC is isosceles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
43

Points H and F lie on circle C.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
44

In circle O, AC and BD are diameters.

Question illustration
A
72°
B
108°
C
120°
D
144°

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