Deck 5: Ratio, Proportion, and Percent

Question 1

Find the ratio described as a fraction in simplest form.

-Find the ratio of the width to the perimeter of the rectangular garden sketched below.

A) $\frac { 5 } { 14 }$
B) $\frac { 2 } { 7 }$
C) $\frac { 1 } { 7 }$
D) $\frac { 2 } { 5 }$

Answer 1

$\frac { 1 } { 7 }$

Question 2

Write the ratio using fractional notation. Do not simplify.

- $4 \frac { 2 } { 3 } \text { to } 2 \frac { 1 } { 5 }$

A) $\frac { 4 } { 2 } \cdot \frac { \frac { 2 } { 3 } } { \frac { 1 } { 5 } }$
B) $\frac { 2 \frac { 2 } { 3 } } { 4 \frac { 1 } { 5 } }$
C) $\frac { 2 \frac { 1 } { 5 } } { 4 \frac { 2 } { 3 } }$
D) $\frac { 4 \frac { 2 } { 3 } } { 2 \frac { 1 } { 5 } }$

Answer 2

$\frac { 4 \frac { 2 } { 3 } } { 2 \frac { 1 } { 5 } }$

Question 3

Write the rate as a fraction in simplest form.

-180 miles in 20 minutes

A) $\frac { 9 \text { miles } } { 1 \text { minute } }$
B) $\frac { 1 \text { mile } } { 9 \text { minutes } }$
C) $\frac { 180 \text { miles } } { 20 \text { minutes } }$
D) $\frac { 45 \text { miles } } { 5 \text { minutes } }$

Answer 3

$\frac { 9 \text { miles } } { 1 \text { minute } }$

Question 4

Find the ratio described as a fraction in simplest form.

-According to an organization's membership list, it has 2750 members who are married and 2000 members who are single. What is the ratio of members who are married to members who are single?

A) $\frac { 11 } { 8 }$
B) $\frac { 8 } { 55 }$
C) $\frac { 11 } { 40 }$
D) $\frac { 8 } { 11 }$

Question 5

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-96,000 copies to 24,000 copies

A) $\frac { 12 } { 4 }$
B) $\frac { 4 } { 1 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 24 }$

Question 6

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-14 cents to 133 cents

A) $\frac { 2 } { 133 }$
B) $\frac { 14 } { 133 }$
C) $\frac { 14 } { 19 }$
D) $\frac { 2 } { 19 }$

Question 7

Find the ratio described as a fraction in simplest form.

-Find the ratio of the width to the length of the rectangular garden sketched below.

A) $\frac { 13 } { 29 }$
B) $\frac { 16 } { 13 }$
C) $\frac { 13 } { 16 }$
D) $\frac { 13 } { 3 }$

Question 8

Write the rate as a fraction in simplest form.

-54 yards in 18 seconds

A) $\frac { 15 \text { yards } } { 5 \text { seconds } }$
B) $\frac { 3 \text { yards } } { 1 \text { second } }$
C) $\frac { 3 \text { seconds } } { 1 \text { yard } }$
D) $\frac { 54 \text { yards } } { 18 \text { seconds } }$

Question 9

Write the rate as a fraction in simplest form.

-104 printers for 120 computers

A) $\frac { 120 \text { printers } } { 104 \text { computers } }$
B) $\frac { 8 \text { printers } } { 120 \text { computers } }$
C) $\frac { 13 \text { printers } } { 15 \text { computers } }$
D) $\frac { 104 \text { printers } } { 8 \text { computers } }$

Question 10

Find the ratio described as a fraction in simplest form.

-Find the ratio of the shortest side to the perimeter of the right triangle.

A) $\frac { 1 } { 6 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 13 } { 30 }$
D) $\frac { 5 } { 13 }$

Question 11

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-$45 to $117

A) $\frac { 45 } { 13 }$
B) $\frac { 5 } { 117 }$
C) $\frac { 5 } { 13 }$
D) $\frac { 45 } { 117 }$

Question 12

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-3.4 to 10

A) $\frac { 3.4 } { 10 }$
B) $\frac { 17 } { 5 }$
C) $\frac { 17 } { 50 }$
D) $\frac { 50 } { 17 }$

Question 13

Find the ratio described as a fraction in simplest form.

-Find the ratio of the longest side to the perimeter of the right triangle.

A) $\frac { 53 } { 126 }$
B) $\frac { 2 } { 9 }$
C) $\frac { 28 } { 53 }$
D) $\frac { 5 } { 14 }$

Question 14

Find the ratio described as a fraction in simplest form.

-Residents in a small town eat an average 10 hamburgers per month at neighborhood barbecues. Residents of a large city eat an average 6 hamburgers per month at neighborhood barbecues. Find the ratio of the number of Hamburgers eaten by small town residents to the amount eaten by large city residents.

A) $\frac { 6 } { 10 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 5 } { 3 }$
D) $\frac { 10 } { 6 }$

Question 15

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-20 meters to 110 meters

A) $\frac { 20 } { 110 }$
B)10
C) $\frac { 20 } { 11 }$
D) $\frac { 2 } { 11 }$

Question 16

Write the ratio using fractional notation. Do not simplify.

-10 to 7

A) $\frac { 10 } { 7 }$
B) $\frac { 10 } { 70 }$
C) $\frac { 7 } { 10 }$
D) $\frac { 70 } { 10 }$

Question 17

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

-39 to 33

A) $\frac { 13 } { 11 }$
B) $\frac { 13 } { 33 }$
C) $\frac { 39 } { 33 }$
D) $\frac { 39 } { 11 }$

Question 18

Find the ratio described as a fraction in simplest form.

-According to an organization's membership list, it has 1250 members who have cable TV and 1500 members who don't have cable. What is the ratio of members who don't have cable to the total number of members?

A) $\frac { 6 } { 11 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 5 } { 11 }$
D) $\frac { 6 } { 5 }$

Question 19

Write the rate as a fraction in simplest form.

-10 cars for 70 people

A) $\frac { 7 \text { cars } } { 1 \text { person } }$
B) $\frac { 10 \text { cars } } { 7 \text { people } }$
C) $\frac { 1 \text { car } } { 7 \text { people } }$
D) $\frac { 10 \text { cars } } { 70 \text { people } }$

Question 20

Write the rate as a fraction in simplest form.

-12 tests for 72 students

A) $\frac { 12 \text { tests } } { 72 \text { students } }$
B) $\frac { 6 \text { tests } } { 1 \text { student } }$
C) $\frac { 1 \text { test } } { 6 \text { students } }$
D) $\frac { 1 \text { tests } } { 2 \text { students } }$

Question 21

Determine whether the proportion is a true proportion.

- $\frac { 8 } { 3 } = \frac { 40 } { 15 }$

Question 22

Write the rate as a unit rate.

-126 miles in 6 hours

A)132 mi/hr $\mathrm { mi } / \mathrm { hr }$
B)21 mi/hr $\mathrm { mi } / \mathrm { hr }$
C)21 mi
D)756 mi

Question 23

Write the sentence as a proportion. Then determine whether the proportion is true or false.

-twelve hundredths is to three as twenty-eight hundredths is to seven

A) $\frac { 0.12 } { 7 } = \frac { 0.28 } { 3 } ; \text { false }$
B) $\frac { 0.12 } { 3 } = \frac { 0.28 } { 7 } ; \text { false }$
C) $\frac { 0.12 } { 7 } = \frac { 0.28 } { 3 } ; \text { true }$
D) $\frac { 0.12 } { 3 } = \frac { 0.28 } { 7 } ; \text { true }$

Question 24

Determine whether the proportion is a true proportion.

- $\frac { 15 } { 14 } = \frac { 7 } { 15 }$

Question 25

Write the sentence as a proportion. Then determine whether the proportion is true or false.

-one fifth is to two fifteenths as two thirds is to four ninths

A) $\frac { \frac { 1 } { 5 } } { \frac { 2 } { 3 } } = \frac { \frac { 2 } { 15 } } { \frac { 4 } { 9 } } ; \text { false }$
B) $\frac { \frac { 1 } { 5 } } { \frac { 4 } { 9 } } = \frac { \frac { 2 } { 15 } } { \frac { 2 } { 3 } } ; \text { true }$
C) $\frac { \frac { 1 } { 5 } } { \frac { 2 } { 3 } } = \frac { \frac { 2 } { 15 } } { \frac { 4 } { 9 } } ; \text { true }$
D) $\frac { \frac { 1 } { 5 } } { \frac { 4 } { 9 } } = \frac { \frac { 2 } { 15 } } { \frac { 2 } { 3 } } ; \text { false }$

Question 26

Write the rate as a fraction in simplest form.

-984 calories in a 9-ounce serving of lasagna

A) $\frac { 984 \mathrm { cal } } { 9 \mathrm { oz } }$
B) $\frac { 328 \mathrm { cal } } { 3 \mathrm { oz } }$
C) $\frac { 3 \mathrm { cal } } { 328 \mathrm { oz } }$
D) $\frac { 9 \mathrm { oz } } { 984 \mathrm { cal } }$

Question 27

Write the rate as a unit rate.

-342 miles on 9 gallons of gas

A)351 gal
B)0.026 mi/gal $\mathrm { mi } / \mathrm { gal }$
C)3078 mi
D)38 mi/gal $\mathrm { mi } / \mathrm { gal }$

Question 28

Determine whether the proportion is a true proportion.

- $\frac { 9 } { 45 } = \frac { 7 } { 35 }$

Question 29

For the proportion, find the unknown number n.

- $\frac { 40 } { n } = \frac { 10 } { \frac { 1 } { 10 } }$

A) $\frac { 5 } { 2 }$
B)4
C)40
D) $\frac { 2 } { 5 }$

Question 30

Write the sentence as a proportion. Then determine whether the proportion is true or false.

-four is to six as eight is to twelve

A) $\frac { 4 } { 12 } = \frac { 8 } { 6 } ; \text { false }$
B) $\frac { 4 } { 12 } = \frac { 8 } { 6 } ; \text { true }$
C) $\frac { 4 } { 6 } = \frac { 8 } { 12 } ; \text { false }$
D) $\frac { 4 } { 6 } = \frac { 8 } { 12 } ; \text { true }$

Question 31

Determine whether the proportion is a true proportion.

- $\frac { 32 } { 28 } = \frac { 9 } { 8 }$

Question 32

For the proportion, find the unknown number n.

- $\frac { 16 } { 48 } = \frac { 4 } { n }$

A)64
B)48
C)12
D)3

Question 33

For the proportion, find the unknown number n.

- $\frac { 28 } { 4 } = \frac { 42 } { n }$

A)7
B)6
C)4
D)42

Question 34

Determine whether the proportion is a true proportion.

- $\frac { 42 } { 54 } = \frac { 7 } { 9 }$

Question 35

Write the rate as a fraction in simplest form.

-416 miles on 40 gallons

A) $\frac { 52 \text { miles } } { 5 \text { gallons } }$
B) $\frac { 8 \text { miles } } { 5 \text { gallons } }$
C) $\frac { 52 \text { miles } } { 40 \text { gallons } }$
D) $\frac { 416 \text { miles } } { 5 \text { gallons } }$

Question 36

Write the rate as a unit rate.

-$1620 earned in 3 weeks

A) $\$ 270.00 / \text { week }$
B) $\$ 0.0019 \text { week }$
C)$ $\$ 405.00 / \text { week }$
D) $\$ 540.00 \text { /week }$

Question 37

Write the rate as a unit rate.

-An animal can move at 1260 feet per hour. Write this rate in feet per minute.

A) $75,600 \mathrm { ft } / \mathrm { min }$
B) $21 \mathrm { ft } / \mathrm { min }$
C) $81 \mathrm { ft } / \mathrm { min }$
D) $\frac { 7 } { 20 } \mathrm { ft } / \mathrm { min }$

Question 38

For the proportion, find the unknown number n.

- $\frac { n } { 5 } = \frac { 6 } { 15 }$

A)4
B)3
C)2
D)5

Question 39

For the proportion, find the unknown number n.

- $\frac { \mathrm { n } } { 22 } = \frac { 49 } { 35 }$

A) $\frac { 5 } { 154 }$
B) $\frac { 154 } { 5 }$
C) $\frac { 22 } { 5 }$
D) $\frac { 1078 } { 5 }$

Question 40

Write the sentence as a proportion. Then determine whether the proportion is true or false.

-five is to three as twelve is to seven

A) $\frac { 5 } { 3 } = \frac { 12 } { 7 } ; \text { true }$
B) $\frac { 5 } { 7 } = \frac { 12 } { 3 } ; \text { false }$
C) $\frac { 5 } { 7 } = \frac { 12 } { 3 } ; \text { true }$
D) $\frac { 5 } { 3 } = \frac { 12 } { 7 } ; \text { false }$

Question 41

For the proportion, find the unknown number n.

- $\frac { \mathrm { n } } { \frac { 11 } { 13 } } = \frac { 2 \frac { 1 } { 6 } } { 1 \frac { 1 } { 10 } }$

A) $\frac { 3 } { 5 }$
B) $1 \frac { 1 } { 10 }$
C) $1 \frac { 2 } { 3 }$
D) $2 \frac { 1 } { 60 }$

Question 42

Solve.

-One pound of a product yieldsds $2 \frac { 1 } { 4 }$ cups. How many pounds of this product will be required by a recipe that calls for 6 cups of the product?

A) $8 \frac { 1 } { 3 } \mathrm { lb }$
B) $2 \frac { 2 } { 3 } \mathrm { lb }$
C) $2 \frac { 1 } { 4 } \mathrm { lb }$
D) $13 \frac { 1 } { 2 } \mathrm { lb }$

Question 43

Solve.
There are 0.5 milligrams of iron in a 3.5 ounce serving of cod. How much iron is in 4 ounces of cod? Round the answer to one decimal place.

A)0.4 mg
B)1.4 mg
C)1.6 mg
D)0.6 mg

Question 44

Solve.
The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 16 passes, find how many passes he completed. Round to the nearest whole number if necessary.

A)14 passes
B)2 passes
C)18 passes
D)8 passes

Question 45

Solve.

-On an architect's blueprint, 1 inch corresponds to 8 feet. Find the length of a wall represented by a lineine $5 \frac { 1 } { 4 }$ inches long on the blueprint. Round to the nearest tenth if necessary.

A)42 ft
B)15.2 ft
C)65.6 ft
D)7.5 ft

Question 46

For the proportion, find the unknown number n.

- $\frac { \mathrm { n } } { 10 } = \frac { 1 } { 2 \frac { 1 } { 2 } }$

A)5
B)4
C) $\frac { 10 } { 2 }$
D) $4 \frac { 1 } { 2 }$

Question 47

For the proportion, find the unknown number n.

- $\frac { 3 } { \frac { 1 } { 6 } } = \frac { 18 } { n }$

A)36
B)1
C)3
D) $\frac { 1 } { 3 }$

Question 48

Solve.
The scale on a map states that 1 centimeter corresponds to 30 kilometers. On the map, two cities are 0.7 cm apart. Find the actual distance.

A)21 km
B)210 km
C)2.1 km
D)2100 km

Question 49

For the proportion, find the unknown number n.

- $\frac { \frac { 1 } { 3 } } { \frac { 3 } { 9 } } = \frac { 17 } { n }$

A) $\frac { 1 } { 153 }$
B)26
C) $\frac { 1 } { 17 }$
D)17

Question 50

Solve.

-On an architect's blueprint, 1 inch corresponds to 4 feet. If an exterior wall is 24 feet long, find how long the blueprint measurement should be. Write answer as a mixed number if necessary.

A) $1 \frac { 2 } { 3 }$ in in.
B)8 in.
C)6 in.
D)24 in.

Question 51

Solve.
The ratio of a basketball player's completed free throws to attempted free throws is 5 to 6. If she completed 20 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary.

A)5 free throws
B)4 free throws
C)17 free throws
D)24 free throws

Question 52

Solve.
It takes Winnie 22 minutes to word process and spell check 10 pages. Find how long it takes her to word process and spell check 45 pages. Round answers to the nearest whole number if necessary.

A)990 min
B)22 min
C)20 min
D)99 min

Question 53

For the proportion, find the unknown number n.

- $\frac { 0.6 } { 4.2 } = \frac { 5 } { n }$

A)21
B)35
C) $2 \frac { 13 } { 25 }$
D)3

Question 54

Solve.
A baseball player makes 4 hits in every 7 times at bat. At this rate, if he made 24 hits, find how many times he batted.

A)42 times at bat
B)96 times at bat
C)168 times at bat
D)24 times at bat

Question 55

Solve.
A punch recipe calls for mixing 6 parts of grape juice with 7 parts of lemon juice. Find how much grape juice should be mixed with 126 ounces of lemon juice.

A)147 oz
B)21 oz
C)18 oz
D)108 oz

Question 56

For the proportion, find the unknown number n.

- $\frac { 8.4 } { 14 } = \frac { n } { 2.8 }$

A)16.8
B)0.168
C)1.68
D)23.52

Question 57

Solve.
A can of lemonade comes with a measuring scoop and directions for mixing are 8 scoops of mix for every 24 cups of water. How much water is needed to make the entire can of lemonade if there are 40 scoops of mix?

A)13 cups
B)960 cups
C)320 cups
D)120 cups

Question 58

For the proportion, find the unknown number n.

- $\frac { 294 } { 62 } = \frac { n } { 558 }$

A)82,026
B) $\frac { 49 } { 6 }$
C)2646
D) $\frac { 6 } { 49 }$

Question 59

Solve.
It takes Frank 10 minutes to word process and spell check 6 pages. Find how many pages he can word process and spell check in 0.5 hours. Round answers to the nearest tenth if necessary.

A)30 pages
B)3 pages
C)50 pages
D)18 pages

Question 60

Solve.
A bag of fertilizer covers 2000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 160 feet by 120 feet.

A)9 bags
B)10 bags
C)96 bags
D)960 bags

Question 61

A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results.

-What percent preferred chocolate cake?

A) $\frac { 43 } { 100 } \%$
B) $\frac { 100 } { 43 } \%$
C) $\frac { 1 } { 43 } \%$
D)43%

Question 62

A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results.

-What type of cake was preferred by the fewest adults? What percent preferred this type of cake?

A)spice; 4%
B)chocolate; 43%
C)chocolate;; $\frac { 43 } { 100 } \%$
D)spice;; $\frac { 1 } { 25 } \%$

Question 63

Solve.
Four out of 10 adults in a certain city buy their drugs at large drug stores. If this city has 34,000 adults, how many of these adults would you expect to buy their drugs at large drug stores?

A)8500 adults
B)850 adults
C)13,600 adults
D)1360 adults

Question 64

Solve.

-In a survey of 100 people, 46 preferred mustard on their hot dogs. What percent preferred mustard?

A)0.46%
B)46%
C) $\frac { 23 } { 50 } \%$
D)4.6%

Question 65

Solve.

-A dart player made 60 bull's eyes out of 100 attempted throws. What percent of the throws were bull's eyes?

A)60%
B)40%
C) $\frac { 3 } { 5 } \%$
D) $\frac { 2 } { 5 } \%$

Question 66

Solve.
The gasoline/oil ratio for a certain lawn mower is 20 to 1. If 1 gallon equals 128 fluid ounces, how many fluid ounces of oil should be mixed with 4 gallons of gasoline? Round the answer to the nearest whole ounce.

A)27 fl oz
B)26 fl oz
C)25 fl oz
D)250 fl oz

Question 67

Write the percent as a decimal.
60%

A)0.6
B)0.06
C)6
D)60.0

Question 68

Write the percent as a decimal.
6.5%

A)0.65
B)6.5
C)0.065
D)65.0

Question 69

Solve.
It is recommended that there be at least 19 square feet of work space for every person in a conference room. A certain conference room is 17' by 18'. Find the maximum number of people the room can accommodate.

A)16 people
B)26 people
C)17 people
D)36 people

Question 70

Write the percent as a decimal.
18%

A)1.8
B)18.0
C)0.018
D)0.18

Question 71

Write the percent as a decimal.
687%

A)6.87
B)68.7
C)0.687
D)687

Question 72

Solve.
The adult daily dosage for a certain medicine is 150 mg (milligrams)for every 20 pounds of body weight. If the patient weighs 160 pounds and he is to receive a dose of this medicine every 4 hours, find the amount of
Medicine he should receive in each dose.

A)300 mg
B)1440 mg
C)9600 mg
D)200 mg

Question 73

Write the percent as a decimal.
88.4%

A)88.4
B)0.0884
C)0.884
D)8.84

Question 74

Solve.
Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value. Find the property taxes on a condominium valued at $131,000.

A)$2032.05
B)$2030.50
C)$1311.55
D)$203.05

Question 75

Write the percent as a decimal.
3%

A)30.0
B)3
C)0.3
D)0.03

Question 76

Solve.
A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg, how many mL do you administer?

A)0.6 mL
B)112 mL
C)14 mL
D)1.75 mL

Question 77

Write the percent as a decimal.

- $90 \frac { 1 } { 2 } \%$

A)90.5
B)9.05
C)0.0905
D)0.905

Question 78

Write the percent as a decimal.
100%

A)0.01
B)100
C)1
D)0.1

Question 79

Solve.

-In a survey of 100 people, 37 preferred caramel syrup on their ice cream. What percent preferred caramel syrup?

A)63%
B) $\frac { 37 } { 100 } \%$
C) $\frac { 63 } { 100 } \%$
D)37%

Question 80

Solve.

-A basketball player made 52 out of 100 attempted free throws. What percent of free throws was made?

A)52%
B)0.52%
C) $\frac { 13 } { 25 } \%$
D)5.2%