Deck 6: Percent

Question 1

Change the following percent to a fraction. Simplify when necessary.
75%

A) $\frac { 3 } { 5 }$
B) $\frac { 3 } { 7 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 5 } { 3 }$
E) $\frac { 4 } { 3 }$

Answer 1

$\frac { 3 } { 4 }$

Question 2

Change 3  to a percent.

A) 300%
B) 0.03%
C) 30%
D) 0.3%
E) none of these

Answer 2

300%

Question 3

What number is 17% of 90?

Answer 3

15.3

Question 4

Change 0.2  to a percent.

A) 0.002%
B) 0.02%
C) 2%
D) 20%
E) none of these

Question 5

What number is 14% of 150 ?

A) 105
B) 21
C) 2,100
D) 121
E) 1,050

Question 6

Change the following percent to a fraction. $\frac { 1 } { 21 } \%$

A) $\frac { 21 } { 100 }$
B) $\frac { 1 } { 21,000 }$
C) $\frac { 1 } { 210 }$
D) $\frac { 1 } { 21 }$
E) $\frac { 1 } { 2,100 }$

Question 7

What percent of the figure is not shaded?

A) 61%
B) 30%
C) 0.39%
D) 39%
E) 0.61%

Question 8

$33 \frac { 1 } { 3 } \%$ of what number is 42 ?

A) 28
B) 14
C) 129
D) 126
E) 84

Question 9

What number is 75% of 400?

A) 309
B) 292
C) 297
D) 291
E) 300

Question 10

Change the following percent to a fraction. $3.1 \%$

A) $\frac { 1 } { 31 }$
B) $\frac { 31 } { 1,000 }$
C) $\frac { 10 } { 31 }$
D) $\frac { 31 } { 100 }$
E) $\frac { 31 } { 10,000 }$

Question 11

Change the following percent to a decimal.
20%

A) 2
B) 200
C) 20
D) 0.02
E) 0.2

Question 12

Change the following fraction to a percent. $\frac { 7 } { 2 }$

A) 3,500%
B) 350%
C) 3.5%
D) 14%
E) 35%

Question 13

Change the following fraction to a percent. $\frac { 41 } { 100 }$

A) 4.1%
B) 410%
C) 4,100%
D) 41%
E) 0.41%

Question 14

Change the following fraction to a percent. $\frac { 6 } { 25 }$

A) 6%
B) 60%
C) 240%
D) 2.4%
E) 24%

Question 15

What number is 60% of 350 ?

A) 220
B) 21,000
C) 210
D) 310
E) 105

Question 16

Change 0.001  to a percent.

A) 10%
B) 0.0001%
C) 0.001%
D) 0.01%
E) 0.1%

Question 17

There are 100 children in the kindergarten. What is the percent of girls, if we know that there are 78   girls there?

A) 78%
B) 0.78%
C) 22%
D) 0.22%
E) none of these

Question 18

The ordinary die was rolled 100 times. The odd  number appeared 20   times. What percent of a time did the even   number appear?

A) 20%
B) 0.2%
C) 80%
D) 0.8%
E) none of these

Question 19

Change the following percent to a decimal.
180%

A) 180
B) 1.8
C) 0.018
D) 0.18
E) 18

Question 20

Change the following percent to a decimal.
0.2%

A) 20
B) 0.0002
C) 0.2
D) 0.02
E) 0.002

Question 21

Write the sentence as a proportion using x as the variable, and solve to answer the question.
What is 8% of 1,625?
Enter x and integers.
Solve the proportion to answer the question.
x = $__________

Question 22

After the first day of registration, 450 children had been enrolled in a new day care center. That represented 90% of the available slots. What was the maximum number of children the center could enroll?
__________ children

Question 23

21 is what percent of 210 ?

A) 2%
B) 1%
C) 20%
D) 100%
E) 10%

Question 24

Translate the percent sentence to a percent equation. 
106% of what number is 178 ?

A) $\frac { x } { 178 } = \frac { 106 } { 100 }$
B) $\frac { 106 } { x } = \frac { 178 } { 100 }$
C) $\frac { 178 } { x } = \frac { 106 } { 100 }$
D) $\frac { 106 } { 178 } = \frac { x } { 100 }$

Question 25

What percent of 4,000  is 2,200 ?

A) 55%
B) 30%
C) 80%
D) 16%
E) 50%

Question 26

Use the following pie graph to find what percent of the boat rentals were  kayaks or ski boats .

A) 37%
B) 26%
C) 10%
D) 38%
E) 35%

Question 27

46 is 23% of what number?

A) 2
B) 20,000
C) 200
D) 20
E) 2,000

Question 28

Translate the percent sentence to a percent proportion. 
What percent of 61 is 13?

A) $\frac { 61 } { 13 } = \frac { x } { 100 }$
B) $\frac { 13 } { 61 } = \frac { x } { 100 }$
C) $\frac { 100 } { 13 } = \frac { x } { 61 }$
D) $\frac { 13 } { 100 } = \frac { x } { 61 }$

Question 29

To promote sales, a free 4-ounce bottle of shampoo is packaged with every large bottle (see illustration). Use the information on the package to determine how many ounces of shampoo the large bottle contains.
__________ oz

Question 30

Translate the percent sentence to a percent equation. 
What percent of 65 is 11 ?

A) $x \% = 65 \cdot 11$
B) $x \% \cdot 65 = 11$
C) $x \% \cdot 11 = 65$
D) $x \% = 65 \div 11$

Question 31

The cost to repair a car after a collision was $3,500. The automobile insurance policy paid the entire bill except for a $525 deductible, which the driver paid. What percent of the cost did he pay?
__________ %

Question 32

What number is 16% of 220?

Question 33

Find the number of gallons of sulfuric acid in 100 gallons of solution in a tank, if the percent of sulfuric acid is 50%.

A) 50 gal
B) 6 gal
C) 12 gal
D) 24 gal
E) 100 gal

Question 34

Refer to the pie graph that shows the world's languages and the percentages of the population that speak them.
What percentage of the world's population does not speak either Chinese or German ?

A) 97.6%
B) 81.1%
C) 90.2%
D) 4.8%
E) 91.6%

Question 35

The cost to repair a car after a collision was $2,500. The automobile insurance policy paid the entire bill except for a $100 deductible, which the driver paid. What percent of the cost did he pay?
__________ %

Question 36

A house has 1,500 square feet on the first floor and 500 square feet on the second floor. What percent of the square footage of the house is on the first floor?
__________ %

Question 37

Translate the percent sentence to a percent equation. 
164% of what number is 120 ?

A) $x = 164 \% \cdot 120$
B) $x \cdot 120 = 164 \%$
C) $164 ^ { \circ } x = 120$
D) $x = 164 \% \div 120$

Question 38

What percent of 100 is 71 ?

A) 710%
B) 142%
C) 71%
D) 35.5%
E) 29%

Question 39

Which of the following illustrations represents a circle graph?

A)
B)
C)
D)
E)

Question 40

Translate the percent sentence to a percent equation.
What number is 43% of 80 ?

A) $x = 43 \% \cdot 80$
B) $x \cdot 43 \% = 80$
C) $x \cdot 80 = 43 \%$
D) $x = 80 \div 43 \%$

Question 41

A shopper presents a coupon at a store. This store doubles the face value of the coupon ( a = 36). Find the discount rate for the box of cereal that normally sells for $9.00.
__________ %

Question 42

On a 75 -question true/false test, 4 % of a student's answers were wrong. How many questions did she miss?

A) 3
B) 19
C) 38
D) 6

Question 43

A cattle rancher is going to sell one of his prize bulls at an auction and would like to make $23000 after paying a 8% commission to the auctioneer. For what selling price will the rancher make this amount of money?

A) $24,840
B) $25,000
C) $25,280
D) $27,500

Question 44

A salesperson for a medical supplies company is paid a commission of 8% for orders under $9,000. For orders exceeding $9,000, she receives an additional 3% in commission on the total amount. What is her commission on a sale of $15,100?
$__________

Question 45

If a woman making $37,000 a year receives a cost-of-living increase of 2.2%, how much is her raise?
$__________

Question 46

What number is 40 % of 400 ?

A) 1,000
B) 16,000
C) 160
D) 260
E) 80

Question 47

Estimate the percentage.
10% of 98,650

A) 987
B) 9,865
C) 1,973
D) 98.65
E) 4,933

Question 48

What is the sale price on a VCR with remote that regularly sells for $500 and is being discounted $50 ?

A) $450
B) $250
C) $50
D) $550
E) $166.67

Question 49

15% of the 980 students attending a small college were enrolled in a science course. How many students is this?

A) 65
B) 490
C) 147
D) 294

Question 50

To find 25% divide the number by 4 .
814.8

A) 203.7
B) 814.8
C) 81,480
D) 3,259.2

Question 51

After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.60 to $1.32. What percent of increase is this?
__________ %

Question 52

After selling a house for $98,000, a real estate agent split the 2% commission with another agent. How much did each person receive?
$__________

Question 53

Estimate the percentage.
10% of 81,700

Question 54

Estimate the percentage.
10% of 96.7

A) 50
B) 100
C) 2
D) 10
E) 5

Question 55

By how much did the price of a sofa decrease if the regular price of $2,795 was reduced by 40% ?

A) 70
B) 1,118
C) 1,398
D) 2,236

Question 56

An art gallery displays paintings for artists and receives a commission from the artist when a painting is sold. What is the commission rate if a gallery received $286.00 when a painting was sold for $1,430.00?
__________ %

Question 57

The host of a TV infomercial says that the suggested retail price of a rotisserie grill is $68.00 and that it is now offered "for just 4 easy payments of only $10.20." What is the discount rate?
__________ %

Question 58

Estimate the percentage.
50% of 2,210

A) 1,100
B) 5,525
C) 552.5
D) 221
E) 11,050

Question 59

Because of a heavy spring runoff, the shoreline of a lake increased from 10.0 miles to 13.8 miles. What was the percent of increase in the shoreline?
__________ %

Question 60

$33 \frac { 1 } { 3 } \%$ of what number is 69 ?

A) 46
B) 23
C) 210
D) 207
E) 138

Question 61

To find 500 % of a number, multiply the number by 5 .
36.02

A) 7.204
B) 180.1
C) 72.04
D) 90.05

Question 62

Complete the table by finding the simple interest earned.
$\begin{array} { | l | l | l | l | } \hline \text { Principal } & \text { Rate } & \text { Time } & \text { Interest earned } \\\hline \$ 19,000 & 4 \% & 5 \text { yrs } & ? \\\hline\end{array}$

A) $38,000
B) $380,000
C) $3,800
D) $38
E) $380

Question 63

Use the formula $I = P r t$ to reach a solution for the following problem.
One month a credit card company charged $9.27 in interest on a balance of $3,708 . What annual interest rate is the credit card company charging?

A) 5%
B) 3.5%
C) 2%
D) 3%
E) none of these

Question 64

Suppose that Nora invested $800 at 8.5 % compounded annually for 7 years and Patti invested $800  at 8 % compounded quarterly for 7  years. At the end of 7 years, who will have the most money and by how much (to the nearest dollar)?

A) Patti by $23
B) Nora by $18
C) Patti by $18
D) Nora by $23
E) They will have equal amounts of money.

Question 65

What is 200% of 80.19 ?

A) 0.40095
B) 16038
C) 160.38
D) 16.038

Question 66

To find 25 % of a number, divide the number by 4 .
591.069

A) 147.76725
B) 4,925.575
C) 1.4776725
D) 147,767.25

Question 67

What is 200% of the given number?
586 m

A) 1,172 km
B) 117,200 km
C) 117.2 km
D) 1.172 km

Question 68

Solve the formula for t .
Simple interest formula: $A = P + P r t$

A) $\mathrm { t } = \frac { 1 } { \mathrm { r } } \left( \frac { A } { P } + 1 \right)$
B) $\mathrm { t } = \frac { 1 } { \mathrm { P } } \left( \frac { A } { \mathrm { r } } - 1 \right)$
C) $\mathrm { t } = \frac { 1 } { \mathrm { P } } \left( \frac { A } { \mathrm { r } } + 1 \right)$
D) $\mathrm { t } = \frac { 1 } { \mathrm { r } } \left( \frac { A } { P } - 1 \right)$
E) none of these

Question 69

Complete the following chart, which illustrates what happens to $16,000 invested at various rates of interest for different lengths of time but always compounded continuously. Round your answers to the nearest dollar. $$\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & & & & \\\hline 8 \text { years } & & & & \\\hline 11 \text { years } & & & & \\\hline 14 \text { years } & & & & \\\hline 17 \text { years } & & & & \\\hline\end{array}$$

A) $\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & 23869 & 26380 & 29154 & 32220 \\\hline 8 \text { years } & 30344 & 35609 & 41787 & 49038 \\\hline 11 \text { years } & 38574 & 48067 & 59895 & 74633 \\\hline 14 \text { years } & 49038 & 64883 & 85849 & 113589 \\\hline 17 \text { years } & 62339 & 87583 & 123050 & 172878 \\\hline\end{array}$
B) $\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & 32220 & 29154 & 26380 & 23869 \\\hline 8 \text { years } & 49038 & 41787 & 35609 & 30344 \\\hline 11 \text { years } & 74633 & 59895 & 48067 & 38574 \\\hline 14 \text { years } & 113589 & 85849 & 64883 & 49038 \\\hline 17 \text { years } & 172878 & 123050 & 87583 & 62339 \\\hline\end{array}$
C) $\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & 47738 & 52759 & 58308 & 64440 \\\hline 8 \text { years } & 60687 & 71217 & 83574 & 98075 \\\hline 11 \text { years } & 77149 & 96133 & 119789 & 149267 \\\hline 14 \text { years } & 98075 & 129766 & 171698 & 227178 \\\hline 17 \text { years } & 124678 & 175166 & 246099 & 345757 \\\hline\end{array}$
D) $\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & 11935 & 13190 & 14577 & 16110 \\\hline 8 \text { years } & 15172 & 17804 & 20894 & 24519 \\\hline 11 \text { years } & 19287 & 24033 & 29947 & 37317 \\\hline 14 \text { years } & 24519 & 32442 & 42924 & 56795 \\\hline 17 \text { years } & 31170 & 43792 & 61525 & 86439 \\\hline\end{array}$
E) $\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & 62339 & 87583 & 123050 & 172878 \\\hline 8 \text { years } & 49038 & 64883 & 85849 & 113589 \\\hline 11 \text { years } & 38574 & 48067 & 59895 & 74633 \\\hline 14 \text { years } & 30344 & 35609 & 41787 & 49038 \\\hline 17 \text { years } & 23869 & 26380 & 29154 & 32220 \\\hline\end{array}$

Question 70

Complete the following chart, which illustrates what happens to $8,000 invested at 12% for different lengths of time and different numbers of compounding periods. Round all of your answers to the nearest dollar. $$\begin{array} { | c | c | c | c | c | } \hline & \text { l year } & \text { T years } & \text { 14 years } & \text { 28 years } \\\hline \text { Compounded annually } & & & & \\\hline \text { Compoundedsemiannually } & & & & \\\hline \text { Compounded quatterly } & & & & \\\hline \text { Compounded monthly } & & & & \\\hline \text { Compounded continuously } & & & & \\\hline\end{array}$$

A) $\begin{array} { | c | c | c | c | } \hline 4480 & 8843 & 19548 & 95535 \\\hline 4494 & 9044 & 20447 & 104517 \\\hline 4502 & 9152 & 20938 & 109605 \\\hline 4507 & 9227 & 21284 & 113251 \\\hline 4510 & 9265 & 21462 & 115157 \\\hline\end{array}$
B) $\begin{array} { | l | l | l | l | } \hline 9020 & 18531 & 42924 & 230314 \\\hline 9015 & 18454 & 42568 & 226502 \\\hline 9004 & 18303 & 41877 & 219209 \\\hline 8989 & 18087 & 40893 & 209035 \\\hline 8960 & 17685 & 39097 & 191071 \\\hline\end{array}$
C) $\begin{array} { | c | c | c | c | } \hline 8960 & 17685 & 39097 & 191071 \\\hline 26966 & 54262 & 122680 & 627104 \\\hline 27012 & 54910 & 125631 & 657628 \\\hline 27044 & 55361 & 127703 & 679505 \\\hline 27060 & 55593 & 128773 & 690941 \\\hline\end{array}$
D) $\begin{array} { | c | c | c | c | } \hline 8960 & 17685 & 39097 & 191071 \\\hline 8989 & 18087 & 40893 & 209035 \\\hline 9004 & 18303 & 219209 & 41877 \\\hline 9015 & 18454 & 226502 & 42568 \\\hline 9020 & 18531 & 230314 & 230314 \\\hline\end{array}$
E) $\begin{array} { | l | l | l | l | } \hline 8960 & 17685 & 39097 & 191071 \\\hline 8989 & 18087 & 40893 & 209035 \\\hline 9004 & 18303 & 41877 & 219209 \\\hline 9015 & 18454 & 42568 & 226502 \\\hline 9020 & 18531 & 42924 & 230314 \\\hline\end{array}$