Deck 4: Percent Notation

Question 1

Find fractional notation for the ratio. You need not simplify.

-8 to 5

A) $\frac{8}{5}$
B) $\frac{8}{13}$
C) $\frac{13}{8}$
D) $\frac{5}{8}$

Answer 1

$\frac{8}{5}$

Question 2

Find fractional notation for the ratio. You need not simplify.

-241 to 488

A) $\frac{488}{247}$
B) $\frac{488}{241}$
C) $\frac{247}{488}$
D) $\frac{241}{488}$

Answer 2

$\frac{241}{488}$

Question 3

Find fractional notation for the ratio. You need not simplify.

-0.9 to 33

A) $\frac{0.9}{33.9}$
B) $\frac{33}{0.9}$
C) $\frac{33.9}{0.9}$
D) $\frac{0.9}{33}$

Answer 3

$\frac{0.9}{33}$

Question 4

Find fractional notation for the ratio. You need not simplify.

-2.2 to 50

A) $\frac{50}{52.2}$
B) $\frac{2.2}{50}$
C) $\frac{50}{2.2}$
D) $\frac{52.2}{50}$

Question 5

Find fractional notation for the ratio. You need not simplify.

-2.9 to 5.2

A) $\frac{2.9}{5.2}$
B) $\frac{8.1}{5.2}$
C) $\frac{5.2}{2.9}$
D) $\frac{5.2}{8.1}$

Question 6

Find fractional notation for the ratio. You need not simplify.

-0.8 to 0.9

A) $\frac{0.1}{0.9}$
B) $\frac{0.9}{0.1}$
C) $\frac{0.8}{0.9}$
D) $\frac{0.9}{0.8}$

Question 7

Find fractional notation for the ratio. You need not simplify.

-77.11 to 29.43

A) $\frac{29.43}{106.54}$
B) $\frac{77.11}{29.43}$
C) $\frac{29.43}{77.11}$
D) $\frac{106.54}{29.43}$

Question 8

Find fractional notation for the ratio. You need not simplify.

-789.1 to 218.5

A) $\frac{1007.6}{218.5}$
B) $\frac{218.5}{1007.6}$
C) $\frac{789.1}{218.5}$
D) $\frac{218.5}{789.1}$

Question 9

Find fractional notation for the ratio. You need not simplify.

- $4 \frac{8}{9}$ to $2 \frac{1}{8}$

A) $\frac{4}{2}$

B) $\frac{4 \frac{8}{9}}{2 \frac{1}{8}}$

C) $\frac{\frac{8}{9}}{\frac{1}{8}}$

D) $\frac{2 \frac{1}{8}}{4 \frac{8}{9}}$

Question 10

Find fractional notation for the ratio. You need not simplify.

- $63 \frac{2}{3}$ to $18 \frac{1}{5}$

A) $\frac{\frac{2}{3}}{\frac{1}{5}}$
B) $\frac{63 \frac{2}{3}}{18 \frac{1}{5}}$
C) $\frac{63}{18}$
D) $\frac{18 \frac{1}{5}}{63 \frac{2}{3}}$

Question 11

A baseball team has played 7 games so far this season. The team won 5 games. What is the ratio of games won to games played so far?

A) $\frac{7}{5}$
B) $\frac{5}{12}$
C) $\frac{12}{5}$
D) $\frac{5}{7}$

Question 12

A baseball team has played 9 games so far this season. The team won 8 games. Find the ratio of games lost to games won.

A) $\frac{9}{8}$
B) $\frac{8}{9}$
C) $\frac{1}{8}$
D) $\frac{8}{1}$

Question 13

In a three-point shooting contest, a basketball player attempted 25 shots and made 13 of them. What is the ratio of shots made to shots attempted?

A) $\frac{25}{13}$
B) $\frac{12}{25}$
C) $\frac{13}{25}$
D) $\frac{25}{12}$

Question 14

In a three-point shooting contest, a basketball player attempted 10 shots and made 9 of them. Find the ratio of shots made to shots missed.

A) $\frac{10}{9}$
B) $\frac{9}{10}$
C) $\frac{9}{1}$
D) $\frac{1}{9}$

Question 15

Of a family's $\$ 982$ weekly income, $\$ 98$ usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

A) $\frac{98}{982}$
B) $\frac{884}{98}$
C) $\frac{98}{884}$
D) $\frac{982}{98}$

Question 16

At an advertising agency that employs 300 people, 137 employees receive 2 weeks of paid vacation each year. What is the ratio of those who receive 2 weeks of paid vacation to the total number of employees?

A) $\frac{137}{300}$
B) $\frac{300}{137}$
C) $\frac{300}{163}$
D) $\frac{163}{300}$

Question 17

At an advertising agency that employs 282 people, 79 employees receive 3 weeks of paid vacation each year. Find the ratio of those who receive 3 weeks of paid vacation to those whose paid vacation is not 3 weeks.

A) $\frac{79}{203}$
B) $\frac{282}{203}$
C) $\frac{203}{282}$
D) $\frac{203}{79}$

Question 18

In this rectangle, find the ratios of length to width and of width to length.

A) $\frac{142}{237} ; \frac{95}{142}$
B) $\frac{237}{142} ; \frac{142}{237}$
C) $\frac{142}{237} ; \frac{237}{142}$
D) $\frac{95}{142} ; \frac{142}{237}$

Question 19

In this rectangle, find the ratios of length to width and of width to length.

A) $\frac{197.9}{118.7} ; \frac{118.7}{197.9}$

B) $\frac{118.7}{197.9} ; \frac{197.9}{118.7}$

C) $\frac{118.7}{316.6} ; \frac{197.9}{316.6}$

D) $\frac{197.9}{118.7} ; \frac{118.7}{316.6}$

Question 20

In this right triangle, find the ratios of shortest length to longest length and of longest length to shortest length.

A) $\frac{1148.1}{1066} ; \frac{1066}{1148.1}$
B) $\frac{426.4}{1148.1} ; \frac{1148.1}{426.4}$
C) $\frac{1148.1}{426.4} ; \frac{426.4}{1148.1}$
D) $\frac{1066}{1148.1} ; \frac{1148.1}{1066}$

Question 21

Simplify the ratio.

-4 to 14

A) $\frac{2}{7}$
B) $\frac{2}{14}$
C) $\frac{4}{14}$
D) $\frac{4}{7}$

Question 22

Simplify the ratio.

-9 to 11

A) $\frac{1}{11}$
B) $\frac{9}{11}$
C) $\frac{27}{33}$
D) $\frac{11}{9}$

Question 23

Simplify the ratio.

-24 to 34

A) $\frac{24}{34}$
B) $\frac{12}{17}$
C) $\frac{24}{17}$
D) $\frac{12}{34}$

Question 24

Simplify the ratio.

- $\$ 9$ to $\$ 51$

A) $\frac{3}{3}$
B) $\frac{51}{9}$
C) $\frac{9}{17}$
D) $\frac{3}{17}$

Question 25

Simplify the ratio.

-110 miles to 180 miles

A) $\frac{11}{18}$
B) $\frac{110}{180}$
C) 10
D) $\frac{11}{180}$

Question 26

Simplify the ratio.

-66 cents to 84 cents

A) $\frac{14}{84}$
B) $\frac{11}{84}$
C) $\frac{66}{84}$
D) $\frac{11}{14}$

Question 27

Simplify the ratio.

-0.24 to 0.24

A) $\frac{0.03}{3}$
B) $\frac{3}{24}$
C) $\frac{24}{24}$
D) 1

Question 28

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $42 \mathrm{~km}, 6 \mathrm{hr}$

A) $42 \frac{\mathrm{hr}}{\mathrm{km}}$
B) $42 \frac{\mathrm{km}}{\mathrm{hr}}$
C) $7 \frac{\mathrm{hr}}{\mathrm{km}}$
D) $7 \frac{\mathrm{km}}{\mathrm{hr}}$

Question 29

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $60 \mathrm{mi}, 6 \mathrm{hr}$

A) $10 \frac{\mathrm{hr}}{\mathrm{mi}}$
B) $60 \frac{\mathrm{hr}}{\mathrm{mi}}$
C) $10 \frac{\mathrm{mi}}{\mathrm{hr}}$
D) $60 \frac{\mathrm{mi}}{\mathrm{hr}}$

Question 30

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $750 \mathrm{yd}, 50 \mathrm{~min}$

A) $50 \frac{\mathrm{yd}}{\mathrm{min}}$
B) $65 \frac{\mathrm{yd}}{\mathrm{min}}$
C) $15 \frac{\mathrm{yd}}{\mathrm{min}}$
D) $750 \frac{\mathrm{yd}}{\mathrm{min}}$

Question 31

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $200 \mathrm{~m}, 25 \mathrm{sec}$

A) $33 \frac{\mathrm{m}}{\mathrm{sec}}$
B) $25 \frac{\mathrm{m}}{\mathrm{sec}}$
C) $200 \frac{\mathrm{m}}{\mathrm{sec}}$
D) $8 \frac{\mathrm{m}}{\mathrm{sec}}$

Question 32

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $161.7 \mathrm{ft}, 7.7 \mathrm{sec}$

A) $28.7 \frac{\mathrm{ft}}{\mathrm{sec}}$
B) $13.3 \frac{\mathrm{ft}}{\mathrm{sec}}$
C) $21 \frac{\mathrm{ft}}{\mathrm{sec}}$
D) $2.1 \frac{\mathrm{ft}}{\mathrm{sec}}$

Question 33

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $701.25 \mathrm{~m}, 3.75 \mathrm{hr}$

A) $190.75 \frac{\mathrm{m}}{\mathrm{hr}}$
B) $187 \frac{\mathrm{hr}}{\mathrm{m}}$
C) $190.75 \frac{\mathrm{hr}}{\mathrm{m}}$
D) $187 \frac{\mathrm{m}}{\mathrm{hr}}$

Question 34

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $41 \mathrm{~km}, 5$ days

A) $8.2 \frac{\text { day }}{\mathrm{km}}$
B) $8.2 \frac{\mathrm{km}}{\text { day }}$
C) $5 \frac{\mathrm{km}}{\mathrm{day}}$
D) $41 \frac{\mathrm{km}}{\mathrm{day}}$

Question 35

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.

- $53 \mathrm{~m}, 30 \mathrm{sec}$

A) $0.57 \frac{\mathrm{m}}{\mathrm{sec}}$
B) $5.66 \frac{\mathrm{m}}{\mathrm{sec}}$
C) $1.77 \frac{\mathrm{m}}{\mathrm{sec}}$
D) $1590.0 \frac{\mathrm{m}}{\mathrm{sec}}$

Question 36

Find the indicated rate.

-Tim's car will go 448.5 miles on 19.5 gallons of gasoline in city driving. What is the rate in miles per gallon?

A) $23.5 \mathrm{mpg}$
B) $\frac{1}{23} \mathrm{mpg}$
C) $23 \mathrm{mpg}$
D) $22.5 \mathrm{mpg}$

Question 37

Find the indicated rate.

-The city where Lu Na lives has a population of 2,265,900 people and an area of 108.6 square miles. What is the rate of number of people per square mile (the population density)?

A) 21,908 people/sq $\mathrm{mi}$
B) $246,076,740$ people/sq mi
C) 0.0000479 people/sq mi
D) 20,865 people/sq $\mathrm{mi}$

Question 38

Find the indicated rate.

-Last basketball season, Danny scored 895 points in 80 games. What was the rate in points per game? Round to the nearest tenth if necessary.

A) 11.2 points/game
B) 10.7 points/game
C) 11.9 points/game
D) 0.1 points/game

Question 39

Find the indicated rate.

-While walking, Joe's heart beats 3952 times in 40 minutes. What is the rate in beats per minute?

A) 102.8 beats $/ \mathrm{min}$
B) 98.8 beats $/ \mathrm{min}$
C) 0.01 beats $/ \mathrm{min}$
D) 91.9 beats $/ \mathrm{min}$

Question 40

Find the indicated rate.

-Mara can type 580 words in $\frac{1}{3}$ hour (20 minutes). How many words per minute can she type?

A) 193 words/minute
B) 29 words/minute
C) 87 words/minute
D) 10 words/minute

Question 41

Find the indicated rate.

-A machine can fill 3550 boxes of cereal in 0.5 hour. How many boxes of cereal can it fill per hour?

A) 5917 boxes/hour
B) 1775 boxes/hour
C) 3551 boxes/hour
D) 7100 boxes/hour

Question 42

Find the indicated rate.

-If Alison's company charged $\$ 255.52$ for 8 hours of work, how much did they charge per hour?

A) $\$ 36.50 /$ hour
B) $\$ 39.94 /$ hour
C) $\$ 8.00 /$ hour
D) $\$ 31.94 /$ hour

Question 43

Find the indicated rate.

-A person ran 935 meters in 2.75 minutes. What was her rate in meters per minute?

A) 2471.25 meters $/ \mathrm{min}$
B) 340 meters $/ \mathrm{min}$
C) 935 meters/min
D) 350 meters/min

Question 44

Find the indicated rate.

-A tortoise traveled 0.41 miles in 2.5 hours. What was its speed?

A) $0.164 \mathrm{mi} / \mathrm{hr}$
B) $0.264 \mathrm{mi} / \mathrm{hr}$
C) $1.025 \mathrm{mi} / \mathrm{hr}$
D) $6.098 \mathrm{mi} / \mathrm{hr}$

Question 45

Determine whether the two pairs of numbers are proportional.

-5, 13 and 10, 26

Question 46

Determine whether the two pairs of numbers are proportional.

-4, 2 and 8,4

Question 47

Determine whether the two pairs of numbers are proportional.

-140, 12 and 190, 21

Question 48

Determine whether the two pairs of numbers are proportional.

- $0.1,0.15$ and $2,2.4$

Question 49

Determine whether the two pairs of numbers are proportional.

- $3,1 \frac{3}{4}$ and 12,7

Question 50

Determine whether the two pairs of numbers are proportional.

- $3.5,4.4$ and 2.5, 3.5

Question 51

Determine whether the two pairs of numbers are proportional.

- $4 \frac{3}{5}, 5 \frac{1}{3}$ and $3 \frac{1}{4}, 5$

Question 52

Determine whether the two pairs of numbers are proportional.

- $12.56,3.14$ and $3.14,0.785$

Question 53

Determine whether the two pairs of numbers are proportional.

- $10.5,3 \frac{1}{2}$ and $15.75,5 \frac{1}{4}$

Question 54

Solve. Give your answer as a mixed number if appropriate.

- $\frac{x}{42}=\frac{3}{14}$

A) 1
B) 9
C) 196
D) 12

Question 55

Solve. Give your answer as a mixed number if appropriate.

- $\frac{49}{35}=\frac{n}{40}$

A) $56 \frac{2}{3}$
B) 56
C) $56 \frac{1}{4}$
D) $56 \frac{1}{2}$

Question 56

Solve. Give your answer as a mixed number if appropriate.

- $\frac{x}{18}=\frac{23}{72}$

A) $5 \frac{3}{4}$
B) $5 \frac{1}{3}$
C) $7 \frac{7}{8}$
D) $3 \frac{1}{8}$

Question 57

Solve. Give your answer as a mixed number if appropriate.

- $\frac{9}{11}=\frac{18}{n}$

A) 198
B) $\frac{9}{198}$
C) $14 \frac{8}{11}$
D) 22

Question 58

Solve. Give your answer as a mixed number if appropriate.

- $\frac{1}{2}=\frac{x}{9}$

A) 9
B) $\frac{1}{18}$
C) 18
D) $4 \frac{1}{2}$

Question 59

Solve. Give your answer as a mixed number if appropriate.

- $\frac{33}{132}=\frac{18}{x}$

A) $\frac{1}{72}$
B) 72
C) $4 \frac{1}{2}$
D) 2343

Question 60

Solve. Give your answer as a mixed number if appropriate.

- $\frac{140}{35}=\frac{n}{11}$

A) 44
B) 1505
C) $2 \frac{3}{4}$
D) $\frac{1}{44}$

Question 61

Solve. Give your answer as a mixed number if appropriate.

- $\frac{x}{7}=\frac{0}{21}$

A) 3
B) 1
C) 0
D) 7

Question 62

Solve. Give your answer as a mixed number if appropriate.

- $\frac{40}{8}=\frac{20}{n}$

A) 20
B) 5
C) 2
D) 4

Question 63

Solve.

- $\frac{3.3}{4}=\frac{x}{7}$

A) 2.6
B) 0.12
C) 0.58
D) 5.775

Question 64

Solve.

- $\frac{4}{19}=\frac{6.6}{y}$

A) 31.35
B) 1.61
C) 3.14
D) 6.4

Question 65

Solve.

- $\frac{\mathrm{n}}{11}=\frac{4.7}{2}$

A) 17.23
B) 7.85
C) 26.7
D) 25.85

Question 66

Solve.

- $\frac{0.24}{t}=\frac{0.3}{0.14}$

A) 0.514
B) 0.0514
C) 2.4
D) 0.112

Question 67

Solve.

- $\frac{\mathrm{m}}{5.9}=\frac{1.62}{3.54}$

A) 2.7
B) 5.9
C) 2.1
D) 5.8

Question 68

Solve.

- $\frac{5.25}{p}=\frac{10.5}{15.5}$

A) 1.016
B) 1.778
C) 11
D) 7.75

Question 69

Solve.

- $\frac{21.5}{25.9}=\frac{124.7}{x}$

A) 150.22
B) 5.645
C) 27.3
D) 600.39

Question 70

Solve.

- $\frac{19.86}{3.36}=\frac{y}{5.6}$

A) 0.45
B) 33.1
C) 7.58
D) 5.6

Question 71

Solve.

- $\frac{35}{y}=\frac{5}{\frac{1}{7}}$

A) 49
B) 5
C) 25
D) 1

Question 72

Solve.

- $\frac{7}{\frac{1}{5}}=\frac{10}{x}$

A) $\frac{2}{5}$
B) $\frac{5}{7}$
C) $\frac{5}{17}$
D) $\frac{2}{7}$

Question 73

Solve.

- $\frac{\frac{1}{56}}{\frac{1}{7}}=\frac{\frac{1}{7}}{t}$

A) $1 \frac{1}{7}$
B) 56
C) $\frac{1}{8}$
D) $\frac{7}{8}$

Question 74

Solve.

- $\frac{1}{5}=\frac{\mathrm{n}}{6 \frac{1}{9}}$

A) $30 \frac{1}{9}$
B) $\frac{9}{11}$
C) $1 \frac{4}{5}$
D) $1 \frac{2}{9}$

Question 75

Solve.

- $\frac{\frac{4}{5}}{\frac{2}{7}}=\frac{x}{\frac{3}{4}}$

A) $\frac{6}{35}$
B) $\frac{3}{5}$
C) $2 \frac{1}{10}$
D) $3 \frac{1}{2}$

Question 76

Solve.

- $\frac{\frac{5}{4}}{\mathrm{~m}}=\frac{\frac{4}{3}}{\frac{4}{7}}$

A) $1 \frac{13}{15}$
B) $\frac{15}{28}$
C) $1 \frac{3}{4}$
D) $\frac{4}{7}$

Question 77

Solve.

- $\frac{y}{5 \frac{1}{6}}=\frac{7 \frac{4}{7}}{4 \frac{1}{2}}$

A) $\frac{212}{651}$
B) $3 \frac{15}{212}$
C) $8 \frac{131}{189}$
D) $\frac{189}{1643}$

Question 78

Solve.

- $\frac{12 \frac{1}{6}}{7 \frac{3}{4}}=\frac{p}{10 \frac{1}{3}}$

A) $6 \frac{85}{146}$
B) $16 \frac{2}{9}$
C) $\frac{146}{961}$
D) $\frac{9}{146}$

Question 79

Solve.

- $\frac{5 \frac{4}{7}}{10 \frac{2}{7}}=\frac{8 \frac{1}{2}}{n}$

A) $\frac{48}{221}$
B) $\frac{13}{204}$
C) $15 \frac{9}{13}$
D) $4 \frac{29}{48}$

Question 80

Use a proportion to solve the problem.

-The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5 inches, what is its width?

A) $9.5 \mathrm{in}$ .
B) $7.5 \mathrm{in.}$
C) 0.7 in.
D) $21.5 \mathrm{in}$ .