AnswersMath 7 B M12 2526 S2Volume of Composite Figures

Volume of Composite Figures — Cumulative exam Answers

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1
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Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.Measures of Center and Variationfor Nia’s Science and Math Scores ScienceMathMean6458Median6060Mode6262Range850Mean Absolute Deviation2.414.4Which inferences can be made when analyzing the data summary in the table? Select three choices.

A
Her mean science score is higher than her mean math score.
B
She prefers science over math.
C
There is more variation in her math scores.
D
Her science scores are more spread out than her math scores.
E
Her median scores are the same for each subject.
2
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Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.What errors did Emma make? Select two options.

Question illustration
A
She should have used division to represent the quotient of six and x.
B
She should not have included an equal sign.
C
She should have used parentheses to show that is multiplied by .
Option C
D
She should have subtracted the difference from .
Option D
E
She should have used parentheses to show that is multiplied by .
Option E
3

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

A
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.
B
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.
C
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
D
No, Mr. Hernandez’s sample is not large enough compared to the population.
4

Which name accurately describes the figure shown below and why?

Question illustration
A
trapezoid, because it has four sides of equal length and opposite sides that are parallel
B
trapezoid, because it has four sides of equal length and four right angles
C
rhombus, because it has four sides of equal length and opposite sides that are parallel
D
rhombus, because it has four sides of equal length and four right angles
5

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (3) (3) (5)
Option A
B
V = one-half (3) (5)
Option B
C
V = one-half (3) (3) (5)
Option C
D
V = one-third (3) (5)
Option D
6

What is the sum of the measures of the angles of this 9-sided polygon?

Question illustration
A
1,080°
B
1,260°
C
1,440°
D
1,620°
7

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Select three options.

A
The area of the large circle is .
Option A
B
The area of one small circle is .
Option B
C
The area of one small circle will be one-half of the area of the large circle.
D
The total area of the two small circles will equal that of the large circle.
E
The total area of the two small circles will be one-half of the area of the large circle.
8

What is the volume of the figure below, in cubic centimeters?

Question illustration
A
2,700
B
2,712
C
2,892
D
3,072
9

Rico represents the inequality with the sentence “The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16.” Which describes Rico’s error?

Question illustration
A
The expression is translated incorrectly. The order of the terms in the subtraction expression should be reversed.
B
The inequality symbol is translated incorrectly. The words “at least” should be represented as greater than or equal to instead of greater than.
C
The inequality symbol is translated incorrectly. The words “at least” should be represented as less than or equal to instead of greater than.
D
The expression is translated incorrectly. The numerator and the denominator of the division expression should be reversed.
10

Carlos needs to paint the outside of the shed in his backyard, including its roof but not including its floor.What is the total area of the surfaces that he needs to paint?

Question illustration
A
214 feet squared
Option A
B
230 feet squared
Option B
C
300 feet squared
Option C
D
350 feet squared
Option D
11

The box plots show the weights, in pounds, of the dogs in two different animal shelters.Weights of Dogs in Shelter AWeights of Dogs in Shelter BWhich describes the spread of the data in the two box plots?

Question illustration
A
The data in shelter A show more spread than the data in shelter B.
B
The data in shelter B show more spread than the data in shelter A.
C
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20.
D
The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.
12

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges?________ centimeters by 18 centimeters

Question illustration
A
2
B
8
C
10
D
18
13

Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan?

A
Joo-Eun cannot draw a triangle with these side lengths.
B
Joo-Eun can only draw one unique triangle with these side lengths.
C
Joo-Eun can draw exactly two triangles with these side lengths.
D
Joo-Eun can draw more than one triangle with these side lengths.
14

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.A student used the steps below to find each person’s age.Step 1Write an equation, letting x represent Kareem’s age:Step 2Solve the equation:Step 3Sadie is , Kareem is , and Nadra is .Which corrects the student’s first error?

Question illustration
A
In Step 1, the student should have used to represent Nadra’s age, and written the equation .
Option A
B
In Step 2, the student should have added 3 on both sides of the equation to find a solution of .
Option B
C
In Step 3, the solution represents Sadie’s age. Therefore, Sadie is , Kareem is , and Nadra is .
Option C
D
In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.
15

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

A
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
B
Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.
C
No, because the circumference equals and there is no in 125.6.
Option C
D
No, because the circumference equals so he could only find the diameter. He needs the radius for the area formula.
Option D
16

Which statement is true about the circumference of a circle?

A
The circumference is the measurement around the circle.
B
The circumference is the measurement of the radius.
C
The circumference is the measurement of the diameter.
D
The circumference is double the radius.
17

What is the best first step in solving ?

Question illustration
A
Add to both sides.
Option A
B
Subtract from both sides.
Option B
C
Multiply both sides by and reverse the inequality symbol.
Option C
D
Divide both sides by 10 and reverse the inequality symbol.
18

Jeremy constructed this solid by combining two rectangular prisms and a square pyramid. What is the surface area of this figure? _____________ square meters

Question illustration
A
320
B
322
C
368
D
386
19

Adler and Erika solved the same equation using the calculations below. Adler’s WorkErika’s WorkWhich statement is true about their work?

Question illustration
A
Neither student solved for k correctly because .
Option A
B
Only Adler solved for k correctly because the inverse of addition is subtraction.
C
Only Erika solved for k correctly because the opposite of is .
Option C
D
Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
20

What is the volume of the figure below, in cubic centimeters?

Question illustration
A
756
B
936
C
1,008
D
1,080

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