Unit Test — Cumulative exam Answers

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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.
2
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Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

Question illustration
A
36
Option A
B
72
Option B
C
144
Option C
D
324
Option D
3

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.
4

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
5

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A
yes, because all the elements of set A are in set R
B
yes, because all the elements of set R are in set A
C
no, because each element in set A is not represented in set R
D
no, because each element in set R is not represented in set A
6

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.
7

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
8

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
9

Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
10

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°
11

Which expression is equivalent to the area of square A, in square centimeters?

Question illustration
A
One-half (24) (45)
Option A
B
24 (45)
Option B
C
(24 + 45) squared
Option C
D
24 squared + 45 squared
Option D
12

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
13

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
14

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches
15

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

A
2 units
B
4 units
C
8 units
D
16 units
16

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

Question illustration
A
7.5 feet
B
feet
Option B
C
feet
Option C
D
30 feet
17

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
18

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
19

Triangle BDC is isosceles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.

Question illustration
A
59°
B
67°
C
71°
D
118°

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