AnswersCA-Mathematics I B-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Question illustration
A
Ani was more successful because she had an outlier.
B
Marta was more successful because she received the highest score.
C
Ani was more successful because she had the greater measure of center.
D
Marta was more successful because she had the greater total spread.
22
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Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

Question illustration
A
No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations.
B
No, ΔRST and ΔXYT are not congruent.
C
Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
D
Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.
23

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

Question illustration
A
The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.
B
The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.
C
The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.
D
The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.
24

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
25

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

Question illustration
A
0.22
B
0.25
C
0.70
D
0.88
26

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then rotation
B
reflection, then translation
C
rotation, then translation
D
rotation, then dilation
27

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
28

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

Question illustration
A
90 degree rotation about point 0 composition reflection across the x-axis
Option A
B
Reflection across the x-axis composition 90 degree rotation about point 0
Option B
C
180 degree rotation about point 0 composition reflection across the x-axis
Option C
D
Reflection across the x-axis composition 180 degree rotation about point 0
Option D
29

The histogram shows the duration, in minutes, of movies in theaters.

Question illustration
A
The mean is less than the median.
B
The median is less than the mean.
C
The mean is equal to the median.
D
The median and mean cannot be compared from a histogram.
30

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
31

The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

Question illustration
A
18%
B
22%
C
35%
D
82%
32

[BLANK]

A
congruence
B
symmetric
C
reflexive
D
transitive
33

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
34

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD
35

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Question illustration
A
8%
B
21%
C
33%
D
38%
36

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A
A data point is 1.3 units above the line of best fit.
B
A data point is 1.3 units below the line of best fit.
C
The line of best fit has a slope of –1.3
D
The line of best fit has a slope of 1.3.
37

Which quadrilateral will always have 4-fold reflectional symmetry?

A
trapezoid
B
rhombus
C
square
D
rectangle
38

The radius and circumference of several objects were measured.

Question illustration
A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
39

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).
40

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

Question illustration
A
The area of △ABC is 1 square unit less than the area of △DEF.
B
The area of △ABC is equal to the area of △DEF.
C
The area of △ABC is 1 square unit greater than the area of △DEF.
D
The area of △ABC is 2 square units greater than the area of △DEF.

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