Cumulative Exam — Cumulative exam Answers

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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.
2
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The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Question illustration
A
0.3
B
0.4
C
0.7
D
0.8
3

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
4

The area of the regular octagon is 10.15 cm2.

Question illustration
A
1.27 cm
B
1.75 cm
C
2.33 cm
D
2.54 cm
5

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

Question illustration
A
32 units
B
44 units
C
56 units
D
64 units
6

Including Jose, there are eight people in his family.If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

A
35
B
840
C
1,680
D
2,620
7

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

Question illustration
A
m = 54o and m = 54o
Option A
B
m = 84o and m = 96o
Option B
C
m = 90o and m = 90o
Option C
D
m = 96o and m = 84o
Option D
8

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

Question illustration
A
1.4° and 88.6°
B
18.6° and 71.4°
C
35.5° and 54.5°
D
44.4° and 45.6°
9

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

Question illustration
A
20 units
B
24 units
C
40 units
D
48 units
10

A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

Question illustration
A
3 units
B
4 units
C
6 units
D
8 units
11

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

A
an acute triangle, because 222 + 542 >512
B
an acute triangle, because 222 + 512 >542
C
an obtuse triangle, because 222 + 542 >512
D
an obtuse triangle, because 222 + 512 >542
12

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
13

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

Question illustration
A
4 units
B
7 units
C
12 units
D
23 units
14

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

Question illustration
A
42 units
B
50 units
C
65 units
D
73 units
15

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.
16

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
17

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

A
3x
B
6x
C
3πx2
D
9πx2
18

Point F is on circle C.

Question illustration
A
12.5 units
B
15.0 units
C
17.5 units
D
20.0 units
19

AC and DB are chords that intersect at point H.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
20

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

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