GEOMETRY B FINAL EXAM QUESTIONS
AND CORRECT ANSWERS
Question 1
if students can major either in humanities or sciences, which fact establishes that the
observation "a student is male" is independent from the observation "a student is a
Science major"?
Correct Answer
males contribute the same fraction of students majoring in humanities as in
sciences.
Question 2
the points (0, 1), (7, 1), and (2, -3) represent the vertices of a triangle. what is the area,
in square units, of the triangle?
Correct Answer
14
Question 3
a solid ball has a density of 2 grams per cubic centimeter. what is the volume, in cm3,
of the ball if its mass is 8 grams?
Correct Answer
4
Question 4
aimed directly at a wall, joni's flashlight illuminates a circular region that is 10 inches
in diameter. joni wants to know how large the circle would be if she doubled her
distance from the wall. in order to solve this problem, which geometric shape should
she use to represent the flashlight's beam?
Correct Answer
cone
Page 1 of 65
,Question 5
which reason justifies statements 2 through 5 in the proof below?
Correct Answer
slope formula
Question 6
the results of a survey of students about whether they saw the latest movie are shown
in the table. what is the best estimate of the probability that a randomly selected boy
did not see the movie?
Correct Answer
XXX 1/13
Question 7
what is the shaded area?
Correct Answer
the complement of the circle in the square
Page 2 of 65
,Question 8
what is m
Correct Answer
28
Question 9
what is the equation of the line that is parallel to the given line and passes
through the given point?
Correct Answer
y = -2x + 8
Question 10
which corresponds to the perimeter of triangle abc?
Correct Answer
15 + √125 units
Question 11
a survey asked students whether they preferred to read on paper (p) or
using electronic devices (e). based on the survey, if a junior or senior is
selected at random, what is the probability that the student prefers to read
using an electronic device?
Correct Answer
11/24
Question 12
select the two-dimensional cross-sections that are rectangles.
Correct Answer
XXXX
cross-section of a right rectangular prism perpendicular to the base
cross-section of a rectangle-based pyramid parallel to the base
Page 3 of 65
, Question 13
given that p(a) = 0.8 and p(a and b) = 0.6, if a and b are independent events,
what is the probability of event b?
Correct Answer
0.75
Page 4 of 65
AND CORRECT ANSWERS
Question 1
if students can major either in humanities or sciences, which fact establishes that the
observation "a student is male" is independent from the observation "a student is a
Science major"?
Correct Answer
males contribute the same fraction of students majoring in humanities as in
sciences.
Question 2
the points (0, 1), (7, 1), and (2, -3) represent the vertices of a triangle. what is the area,
in square units, of the triangle?
Correct Answer
14
Question 3
a solid ball has a density of 2 grams per cubic centimeter. what is the volume, in cm3,
of the ball if its mass is 8 grams?
Correct Answer
4
Question 4
aimed directly at a wall, joni's flashlight illuminates a circular region that is 10 inches
in diameter. joni wants to know how large the circle would be if she doubled her
distance from the wall. in order to solve this problem, which geometric shape should
she use to represent the flashlight's beam?
Correct Answer
cone
Page 1 of 65
,Question 5
which reason justifies statements 2 through 5 in the proof below?
Correct Answer
slope formula
Question 6
the results of a survey of students about whether they saw the latest movie are shown
in the table. what is the best estimate of the probability that a randomly selected boy
did not see the movie?
Correct Answer
XXX 1/13
Question 7
what is the shaded area?
Correct Answer
the complement of the circle in the square
Page 2 of 65
,Question 8
what is m
Correct Answer
28
Question 9
what is the equation of the line that is parallel to the given line and passes
through the given point?
Correct Answer
y = -2x + 8
Question 10
which corresponds to the perimeter of triangle abc?
Correct Answer
15 + √125 units
Question 11
a survey asked students whether they preferred to read on paper (p) or
using electronic devices (e). based on the survey, if a junior or senior is
selected at random, what is the probability that the student prefers to read
using an electronic device?
Correct Answer
11/24
Question 12
select the two-dimensional cross-sections that are rectangles.
Correct Answer
XXXX
cross-section of a right rectangular prism perpendicular to the base
cross-section of a rectangle-based pyramid parallel to the base
Page 3 of 65
, Question 13
given that p(a) = 0.8 and p(a and b) = 0.6, if a and b are independent events,
what is the probability of event b?
Correct Answer
0.75
Page 4 of 65
