AnswersAIA - 12 Career Math 1st SemCumulative Exam

Cumulative Exam — Cumulative exam Answers

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A produce stand is packing blueberries into pound containers. How many containers can be filled with 60 pounds of blueberries?

Question illustration
A
StartFraction 1 Over 150 EndFraction
Option A
B
StartFraction 1 Over 24 EndFraction
Option B
C
24
D
150
2
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The chart below contains the results of a survey of 25 students who were asked which musical instrument they play best. Instrument Played BestInstrumentStudentsViolin1Piano6Guitar2Drums3What percent of the students responded to the survey?

A
12%
B
21%
C
48%
D
52%
3

Charmaine pays $848 for landscaping rocks for a project. The cost per pound is 32 cents. How many pounds did she purchase?

A
0.265
B
2.65
C
26.50
D
2,650
4

The multiplication table below can be used to find equivalent ratios. Which ratio is equivalent to the ratio 20 to 35?

Question illustration
A
5 to 7
B
7 to 5
C
8 to 14
D
14 to 8
5

Kevin walked of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?

Question illustration
A
12 divided by three-fourths
Option A
B
12 times three-fourths
Option B
C
Three-fourths divided by 12
Option C
D
Four-thirds divided by 12
Option D
6

What is the quotient in simplest form?

Question illustration
A
0
B
StartFraction 9 Over 16 EndFraction
Option B
C
1 and StartFraction 7 Over 9 EndFraction
Option C
D
4
7

Eva buys a piece of red fabric that is 5.6 meters long and a piece of yellow fabric that is 2.8 meters long. How long are the two pieces of fabric together in millimeters? Use the metric table to help answer the question.Metric Tablekilo-hecto-deka-unitdeci-centi-milli-1,0001001010.10.010.001

A
8.4 millimeters
B
84 millimeters
C
8,400 millimeters
D
84,000 millimeters
8

Sam spent of an hour at the dentist’s office. He spent of the time in the waiting room. How much time did he spend at the dentist’s office other than in the waiting room?

Question illustration
A
of an hour
Option A
B
of an hour
Option B
C
of an hour
Option C
D
of an hour
Option D
9

The prime factorizations of 54 and 72 are shown below.Prime factorization of 54: 2, 3, 3, 3Prime factorization of 72: 2, 2, 2, 3, 3Using the prime factorizations, what is the greatest common factor of 54 and 72?

A
2 ´ 3
B
2 ´ 3 ´ 3
C
2 ´ 2 ´ 3 ´ 3
D
2 ´ 2 ´ 2 ´ 3 ´ 3 ´ 3
10

Sixty photos taken at a photo shoot are in black and white. If this represents 15 percent of the total number of photos taken, which equation can be used to find the total number of photos?

A
StartFraction 60 times 4 Over 15 times 4 EndFraction = StartFraction 240 Over 60 EndFraction
Option A
B
StartFraction 60 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 15 Over 25 EndFraction
Option B
C
StartFraction 60 divided by 10 Over 100 divided by 10 EndFraction = StartFraction 6 Over 10 EndFraction
Option C
D
StartFraction 15 times 4 Over 100 times 4 EndFraction = StartFraction 60 Over 400 EndFraction
Option D
11

A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about

A
$16.
B
$17.
C
$63.
D
$72.
12

Allen has a recipe for a pitcher of fruit punch that requires cups of pineapple juice. Which question about the recipe is best modeled with a division expression?

Question illustration
A
How much pineapple juice is needed to make 5 pitchers of punch?
B
How much punch can be made from 5 cups of pineapple juice?
C
How many cups of fruit punch does the recipe make if there are a total of 12 cups of other ingredients?
D
How many cups of other ingredients are needed if the recipe makes a total of 12 cups of fruit punch?
13

Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class?

A
StartFraction 5 Over 9 EndFraction
Option A
B
StartFraction 4 Over 5 EndFraction
Option B
C
StartFraction 5 Over 4 EndFraction
Option C
D
StartFraction 9 Over 4 EndFraction
Option D
14

What is the result of ?

Question illustration
A
One-eighth
Option A
B
One-fourth
Option B
C
16
D
48
15

The least common multiple of two numbers is 24. Which could be the two numbers?

A
6 and 8
B
4 and 6
C
8 and 16
D
4 and 12
16

Bagel Emporium burned 8 percent of the total amount of bagels produced on Saturday. If 416 bagels were burned, how many bagels were produced on Saturday?

A
424
B
3,328
C
5,200
D
41,600
17

What is the first step to solving the division problem below?

Question illustration
A
Divide 15 into 82 to get 5.
B
Divide 15 into 82 to get 6.
C
Multiply 15 by 5 to get 75.
D
Multiply 15 by 6 to get 80.
18

The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below. Which method can find other equivalent ratios for this pattern?

Question illustration
A
Multiply 3 and 6 by the same factor, and write the products as a ratio.
B
Multiply 2 and 8 by the same factor, and write the products as a ratio.
C
Multiply 4 and 6 by the same factor, and write the products as a ratio.
D
Multiply 1 and 8 by the same factor, and write the products as a ratio.
19

What is the result of ? Use the model to find the answer.

Question illustration
A
4
B
5
C
12
D
20
20

Which table correctly converts inches to feet?

A
A 2-column table with 4 rows. Column 1 is labeled Inches with entries 2, 4, 6, 8. Column 2 is labeled Feet with entries 24, 48, 72, 96.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled Inches with entries 8, 16, 24, 32. Column 2 is labeled Feet with entries 24, 48, 72, 96.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled Inches with entries 24, 48, 72, 96. Column 2 is labeled Feet with entries 2, 4, 6, 8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled Inches with entries 24, 48, 72, 96. Column 2 is labeled Feet with entries 8, 16, 24, 32.
Option D

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