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Practice Exam Answers

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1
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What is the volume of the pyramid?

A
12 cm cubed
B
48 cm cubed
C
32 cm cubed
D
16 cm cubed
2
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Which statement must be true?

A
Angle QRT measures 78 degrees and angle QST measures 102 degrees .
B
Angles QRT and QST both measure 156 degrees .
C
Angle QRT measures 156 degrees and angle QST measures 24 degrees .
D
Angles QRT and QST both measure 78 degrees .
3

Which statement is true about whether cap A and cap b are independent events?

A
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap b .
B
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A .
C
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is not equal to cap p times cap b .
D
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is not equal to cap p times cap A .
4

What is the approximate total volume of the silo? Use 3 point 1 4 for pi and round the answer to the nearest tenth of a cubic meter.

A
71 point 9 m cubed
B
37 point 1 m cubed
C
116 point 5 m cubed
D
130 point 8 m cubed
5

What is the area of triangle MOL ?

A
200 square units
B
250 square units
C
500 square units
D
300 square units
6

What is the length of line segment MX ?

A
6 in.
B
9 in.
C
8 in.
D
7 in.
7

What is the approximate length of minor arc LM ? Round to the nearest tenth of a centimeter.

A
12 point 4 centimeters
B
36 point 7 centimeters
C
15 point 7 centimeters
D
31 point 4 centimeters
8

What is the length of line segment TV ?

A
3 units
B
1 unit
C
1 and 2 thirds units
D
2 and 1 half units
9

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

A
183 meters
B
683 meters
C
250 meters
D
366 meters
10

If AC is equal to 48 meters, what is the perimeter of the field?

A
70 meters
B
40 meters
C
140 meters
D
218 meters
11

What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?

A
38 point 2 m
B
27 point 5 m
C
21 point 2 m
D
32 point 5 m
12

What is the perimeter of parallelogram WXYZ ?

A
2 square root of 5 plus 2 square root of 17 units
B
square root of 5 plus square root of 17 units
C
16 units
D
22 units
13

Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus?

A
48 square units
B
32 square units
C
28 square units
D
24 square units
14

What are the angle measures of triangle ABC ?

A
m angle cap A is equal to 90 degrees , m angle cap b is equal to 30 degrees , m angle cap c is equal to 60 degrees
B
m angle cap A is equal to 60 degrees , m angle cap b is equal to 90 degrees , m angle cap c is equal to 30 degrees
C
m angle cap A is equal to 30 degrees , m angle cap b is equal to 60 degrees , m angle cap c is equal to 90 degrees
D
m angle cap A is equal to 90 degrees , m angle cap b is equal to 60 degrees , m angle cap c is equal to 30 degrees
15

To support a tree damaged in a storm, a 12 -foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

A
56.4 degrees
B
50.2 degrees
C
39.8 degrees
D
33.6 degrees
16

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST ? Round to the nearest square inch. Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root

A
37 square inches
B
19 square inches
C
60 square inches
D
95 square inches
17

Which circle shows overarc AB that measures 60 degrees ?

A
Image with description A circle has a center O. A B is a chord. A tangent is drawn to the circle that touches the circle at A. The angle between the tangent line and the chord is 60 degrees.
B
Image with description A circle has a center O. AO and BO are two radii on the circle. Angle A O B is 60 degrees.
C
Image with description A circle has a center O. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
D
Image with description A circle has a center O. A Y is a chord. B Y is a diameter. Angle A Y B is 60 degrees.
18

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives. What is the approximate probability that a student chooses a computer elective and an art elective?

A
0 point 2 2 7 2 7
B
0 point 4 2 4 2 4
C
0 point 2 1 2 1 2
D
0 point 1 1 3 6 4
19

Consider the following sets. cap u is equal to all triangles cap e is equal to x divides x is in cap u and x is equilateral cap i is equal to x divides x is in cap u and x is isosceles cap s is equal to x divides x is in cap u and x is scalene cap A is equal to x divides x is in cap u and x is acute cap o is equal to x divides x is in cap u and x is obtuse cap r is equal to x divides x is in cap u and x is right Which is a subset of cap i ?

A
cap s
B
cap e
C
cap A
D
cap r
20

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base. The cross section can be which of these shapes? Choose three correct answers.

A
non-square rectangle
B
circle
C
triangle
D
square
E
trapezoid

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