AnswersAIA - 12 Career Math 1st SemCumulative Exam

Cumulative Exam — Cumulative exam Answers

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What is the prime factorization of 50?

A
2 times 25
Option A
B
2 times 5
Option B
C
2 times 5 squared
Option C
D
2 squared times 5
Option D
22
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Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original price is $4.73. How much does she need to pay for the cereal?

A
$1.23
B
$4.38
C
$4.48
D
$5.08
23

A football field is 100 yards in length. How many inches long is a football field?

A
300 inches
B
360 inches
C
3,000 inches
D
3,600 inches
24

Juan is determining the volume of a box using the expression . How many digits will be shown to the right of the decimal in Juan’s final answer?

Question illustration
A
one
B
two
C
three
D
four
25

Which values of a, b, and c correctly complete the division?

Question illustration
A
a = 6, b = 5, c = 3
Option A
B
a = 6, b = 3, c = 5
Option B
C
a = 1, b = 3, c = 6
Option C
D
a = 1, b = 5, c = 3
Option D
26

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet?

A
10 beads per bracelet
B
12 beads per bracelet
C
14 beads per bracelet
D
16 beads per bracelet
27

Which comparison is true?

Question illustration
A
There are 6 stars for every 7 hearts.
B
There are 7 stars for every 6 hearts.
C
For every 7 stars there are 13 hearts.
D
For every 6 stars there are 13 hearts.
28

Two students are using estimation to determine reasonable solutions to the expression . Katie uses the expression . Amaya uses the expression . Which is the best comparison of the estimates and the actual product?

Question illustration
A
Both estimates will be less than the original product.
B
Both estimates will be greater than the original product.
C
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.
D
Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.
29

Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

A
63 + 36 = (3) (21) + (9) (4)
Option A
B
63 + 36 = (7) (9) + (12) (3)
Option B
C
63 + 36 = 9 (7 + 4)
Option C
D
63 + 36 = 3 (21 + 9)
Option D
30

A community garden contains five types of plants. Two of the types are flowers: roses and daisies.The other three types are vegetable plants: cucumbers, bell peppers, and green beans. Plants in the Community GardenPlant NumberRoses2Daisies4Cucumbers6Bell Peppers5Green Beans7Which relationship does the ratio 6:18 represent?

A
Flowers : Vegetable Plants
B
Vegetable Plants : Flowers
C
Cucumber Plants : Total Plants
D
Total Plants : Cucumber Plants
31

What is the quotient of the division below?

Question illustration
A
288.7
B
288.ModifyingAbove 7 with bar
Option B
C
288.8
D
288.ModifyingAbove 8 with bar
Option D
32

Which list shows all the factors of 75?

A
1, 3, 5, 15, 25, 75
B
1, 3, 5, 13, 25, 75
C
3, 5, 13, 25
D
3, 5, 15, 25
33

A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa. How many pounds of tomatoes were used in each batch?

A
0.634 pounds
B
6.34 pounds
C
63.4 pounds
D
634 pounds
34

Claire said that of her CDs are country music. Which statement could be true based upon this relationship?

Question illustration
A
Two-thirds of Claire’s CDs are jazz music.
B
One-third of Claire’s CDs are country music.
C
Claire has 10 country CDs and 5 jazz CDs.
D
Claire has 10 country CDs and 15 jazz CDs.
35

Mr. Henderson earns $800 per week. He spends $80 of what he earns on food for his family. What percentage of the money he earns is spent on food?

A
10%
B
25%
C
64%
D
72%
36

At a track meet, the 3 members of a relay team ran a total distance of of a mile. If each runner ran the same distance, how far did each person run?

Question illustration
A
of a mile
Option A
B
of a mile
Option B
C
of a mile
Option C
D
miles
Option D
37

The table below shows the cost per pound of different vegetables.Prices of VegetablesVegetableCost (per pound)Potatoes$3.89Squash$4.68Carrots$1.67Cucumbers$2.59What is the estimated cost for 4.5 pounds of cucumbers?

A
$10
B
$15
C
$16
D
$25
38

Jerome bought three T-shirts. The red one cost $7.97, the green one cost $11.49, and the black one cost $12.58. How much did they cost in all?

A
$6.88
B
$19.46
C
$32.04
D
$103.77
39

To find the unit rate for ,

Question illustration
A
divide both 182 and 14 by 14.
B
multiply both 182 and 14 by 14.
C
divide both 182 and 14 by 182.
D
multiply both 14 and 182 by 182.
40

There are 10 pencils in a desk. Ninety percent of the pencils are sharpened. Which equation can be used to find the number of sharpened pencils?

A
StartFraction 10 divided by 1 Over 90 divided by 1 EndFraction = StartFraction 10 Over 90 EndFraction
Option A
B
StartFraction 90 times 10 Over 10 times 10 EndFraction = StartFraction 900 Over 100 EndFraction
Option B
C
StartFraction 10 times 100 Over 9 times 100 EndFraction = StartFraction 1000 Over 900 EndFraction
Option C
D
StartFraction 90 divided by 10 Over 100 divided by 10 EndFraction = StartFraction 9 Over 10 EndFraction
Option D

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