Cumulative Exam — Cumulative exam Answers

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1
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What is the area of this composite figure?

Question illustration
A
135 centimeters squared
Option A
B
207 centimeters squared
Option B
C
249 centimeters squared
Option C
D
279 centimeters squared
Option D
3

What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?

A
–16.9y – 5.5x
B
–16.9y – 4.5x
C
–6.5y – 2.1x
D
–6.5y – 1.1x
4

Henry knows that the circumference of a circle is 18 inches. What is the area of the circle?

Question illustration
A
36 pi inches squared
Option A
B
81 pi inches squared
Option B
C
162 pi inches squared
Option C
D
324 pi inches squared
Option D
5

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Middle School StudentsElementary School StudentsWhich correctly compares the medians and the measures of variability of the data in the box plots? Select three choices.

Question illustration
A
The difference in the medians is about 1.5 hours.
B
The range for both middle school students and elementary school students is 6 hours.
C
The interquartile range for middle school students is 5, and the interquartile range for elementary school students is 3.
D
Both sets of data have the same maximum and minimum values.
E
The medians for the two sets of data are the same.
6

Compare the given dimensions of four triangles. Which triangle is possible to construct?

A
side lengths of 6 m, 8 m, and 9 m
B
side lengths of 4 m, 5 m, and 12 m
C
side lengths of 2 m, 5 m, and 8 m
D
side lengths of 4 m, 7 m, and 13 m
7

The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in December.Gas Mileage of Cars Sold in JuneGas Mileage of Cars Sold in DecemberWhich inference can be made about the cars?

Question illustration
A
The type of cars sold in June typically gets better gas mileage.
B
The type of cars sold in December typically gets better gas mileage.
C
The types of cars sold in the two months typically get about the same gas mileage.
D
The types of cars sold in the two months typically get better gas mileage than those sold in other months.
8

A circle has a diameter of 6 meters. Which statement about the circumference and area is true?

A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical value of the circumference and area are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.
9

What is the relationship between the number of sides of the base of a prism and the number of lateral faces?

A
The number of sides of the base of a prism is less than the number of lateral faces.
B
The number of sides of the base of a prism and the number of lateral faces is equal.
C
The number of sides of the base of a prism is greater than the number of lateral faces.
D
There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
10

The means and mean absolute deviations of monthly snowfall during the winter months in two cities are shown in the table below.Means and Mean Absolute Deviations of Snowfall in North Town and South Town North TownSouth TownMean8.9 in.6.3 in.Mean Absolute Deviation0.55 in.0.48 in.The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

A
The difference between the means is about equal to the mean absolute deviation of the data sets.
B
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
C
The difference between the mean is about 4 times the mean absolute deviation of the data sets.
D
The difference between the means is about 5 times the mean absolute deviation of the data sets.
11

A rectangular pyramid has a volume of , a height of 24 in., and a base length of 6 in. What is the width of its base?

Question illustration
A
3 in.
B
9 in.
C
18 in.
D
27 in.
12

The hexagon below has been reduced by a scale factor of . What is the area of the reduced hexagon?

Question illustration
A
8 inches squared
Option A
B
12 inches squared
Option B
C
24 inches squared
Option C
D
36 inches squared
Option D
15

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
152 square feet
B
172 square feet
C
252 square feet
D
264 square feet
16

What is the total surface area of the square pyramid below?

Question illustration
A
100 cm2
B
200 cm2
C
280 cm2
D
380 cm2
18

A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. Which describes the cross section?

Question illustration
A
a triangle with 3 equal sides measuring 6 feet
B
a triangle with 3 equal sides measuring greater than 6 feet
C
a triangle with only 2 equal sides measuring 6 feet
D
a triangle with only 2 equal sides measuring greater than 6 feet
19

Kayla created the graph below to represent the solution to the inequality .What errors did she make? Select two options.

Question illustration
A
She should have used an open circle at the end of the ray.
B
She should have pointed the arrow to the right.
C
She should have used a circle at –7 as the end of the ray.
D
She should have used a circle at –9 as the end of the ray.

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