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Unit 1: Ratios and Proportional Relationships

Total questions: 65

Worksheet time: 11hrs 50mins

Name
Class
Date
1.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
2.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
3.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
4.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
5.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
6.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
7.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
8.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
9.
Derick hikes 112 miles in a week on a hiking trail.  How far is Derick hiking each day?
a)
112 miles per day
b)
16 miles per day
c)
22.4 miles per day
d)
25 miles per day
10.
Find the unit rate for the number of hats made per hour if 1,260 hats are made in 5 hours.
a)
275 hats per hour
b)
252 hats per hour
c)
324 hats per hour
d)
356 hats per hour
11.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
12.
a)

A and D

b)

B and D

c)

A and C

d)

B and C

13.

A recipe calls for 2 tablespoons of flour for every tablespoon of sugar. Which table shows this relationship?

a)
b)
c)
d)
14.
a)

4:1

b)

9:1

c)

1:4

d)

1:9

15.

Tyson earns $0.10 for every can he collects. Which table shows this relationship?

a)
b)
c)
d)
16.
a)

92\frac{9}{2}

b)

29\frac{2}{9}

c)

23\frac{2}{3}

d)

12\frac{1}{2}

17.

Mountain Middle school enrolled 200 girls and 150 boys. Of the girls, 75 have blue eyes, 55 have green eyes, and 70 have brown eyes. Of the boys, 60 have blue eyes, 45 have green eyes, and 45 have brown eyes. What is the ratio of boys with green eyes to girls with blue eyes?

a)

45:75

b)

55:60

c)

75:45

d)

60:55

18.
a)

9:4

b)

4:9

c)

1:4

d)

4:1

19.
a)

524\frac{52}{4}

b)

426\frac{4}{26}

c)

1352\frac{13}{52}

d)

452\frac{4}{52}

20.

The baseball team had 18 players. There were 4 coaches on the team. What is the ratio of players to coaches?

a)

18 to 4

b)

22 to 18

c)

18 to 22

d)

4 to 18

21.

There are six hats and seven mittens. What is the ratio of mittens to total?

a)

6:7

b)

7:6

c)

13:7

d)

7:13

22.

The ratio of violin players to flute players in the school's orchestra is 5:3. What does this mean?

a)

There are 2 more violin players than flute players.

b)

There are 5 more violin players than flute players.

c)

For every 5 violin players, there are 3 flute players.

d)

For every 5 flute players, there are 3 violin players.

23.

Which statement describes a unit rate?

a)

Ben ate 1 hotdog.

b)

Ben drove 20 miles.

c)

Ben drove 45 miles per hour.

d)

Ben at 5 chips and 1 pickle.

24.

Which statement describes a unit rate of 6:1?

a)

12 tires for 3 cars

b)

30 miles for 5 hours

c)

$35 for 5 set of markers

d)

45 miles in 9 hours

25.

Which rate describes a unit rate of 10:1?

a)

20 books for $10

b)

$20 for 4 books

c)

$30 for 3 notebooks

d)

72 miles in 8 hours

26.

Gabby spent $44.10 for 14 gallons of gas. What was the unit cost, or price per gallon?

a)

$0.31

b)

$3.15

c)

$4.50

d)

$5.82

27.

Four candy stores are competing with each other. Which store offers the best buy for candy?

a)

Sweet Store: 12 pack for $3.00

b)

Delicious Treats: 22 pack for $4.62

c)

Sugar Factory: 18 pack for $5.40

d)

Chocolate Shop: 36 pack for $7.20

28.

Trevor rode his bicycle 25 miles in 2 hours. Assuming Trevor rode at a constant speed, how many miles did Trevor ride in 1 hour?

a)

10 miles

b)

15 miles

c)

50 miles

d)

12.5 miles

29.

Complete the table above.

a)
b)
30.

The Hoboken Renegades won 40% of their 180 games. How many games did the Renegades win?

a)

96 games

b)

72 games

c)

108 games

d)

63 games

31.

Ayame drank 20 ounces of water in the morning. 36 ounces with lunch, and 20 ounces with dinner. How many CUPS of water did she drink all day?

a)

76

b)

9.5

c)

7.6

d)

4.75

32.

DeShawn got $85.75 for 7 hours of work and Sandra got $92.80 for 8 hours of work. Who earns more per hour?

a)

SANDRA.

DeShawn earns $11.60/1 hour and Sandra earns $12.25/1 hour.

b)

DESHAWN.

DeShawn earns $12.25/1 hour and Sandra earns $11.60/1 hour.

c)

DESHAWN.

DeShawn earns $12.00/1 hour and Sandra earns $11.00/1 hour.

d)

SANDRA.

DeShawn earns $12.60/1 hour and Sandra earns $11.25/1 hour.

33.

It took Rosa 7 hours to rake 3 lawns. Assuming the lawns are all about the same size, about how long does it take her to rake 12 lawns?

a)

35 hours

b)

24 hours

c)

12 hours

d)

28 hours

34.

340 is 85% of what number?

a)

550

b)

500

c)

400

d)

450

35.

What does the word "percent" mean?

a)

Half of something

b)

Out of 50

c)

Out of 100

d)

100% of something

36.

What percent of the shape is shaded pink?

a)

35%

b)

45%

c)

55%

d)

50%

37.

What percent of the shape is shaded green?

a)

26%

b)

25%

c)

36%

d)

35%

38.

What is 58% as a decimal?

a)

0.058

b)

0.58

c)

0.0058

39.

What percent of the shape is shaded pink?

a)

45%

b)

49%

c)

48%

d)

59%

40.

What is 0.05 as a percent?

a)

5%

b)

50%

c)

500%

41.

What is 950\frac{9}{50}  as a percent?

a)

9%

b)

27%

c)

18%

d)

19%

42.

What is 425\frac{4}{25}  as a percent?

a)

16%

b)

20%

c)

4%

d)

24%

43.

Which of the following means 20%?

a)

20/100

b)

20×100%

c)

2000

d)

20

44.

100% of 4

a)

2

b)

4

c)

100

d)

0

45.

25% of 40

a)

20

b)

25

c)

10

d)

40

46.

Danny borrowed 20% of your pocket money.

You have $80 left in your wallet.

How much money do you have originally?

a)

100

b)

200

c)

20

d)

90

47.

Poppy has 15 lawns mowed out of a total of 60 lawns. What percent is that?

a)

15

b)

25

c)

19

d)

4

48.
Of the 15 games the Warriors have played this season, they have won 6. What percentage of their games have they won?
a)
6%
b)
15%
c)
25%
d)
40%
49.
A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips? 
a)
10%
b)
20%
c)
100%
d)
50%
50.
What is 2/5 as a percent? 
a)
40%
b)
.40
c)
25%
d)
50%
51.
Tom saves 50% of his paycheck. If his pay is $148, how much will he save? 
a)
$148
b)
$70
c)
$50
d)
$74
52.
Ken got 6 out of 24 questions correct on a test. What is his grade? 
a)
6%
b)
25%
c)
50%
d)
33%
53.
Convert 6% to a decimal
a)
.06
b)
.6
c)
6.0
d)
60
54.
What fraction is equivalent to 25%? 
a)
1/2
b)
1/5
c)
1/4
d)
3/4
55.
Change 32% into a decimal.
a)
32
b)
3.2
c)
.32
d)
.032
56.
Change .98 into a percent.
a)
98%
b)
9.8% 
c)
980%
d)
.98%
57.

60% of what number is 180?

a)

30

b)

108

c)

300

d)

1,080

58.

At HMS, 15% of the 320 students play an instrument. How many students play an instrument?

a)

5 students

b)

48 students

c)

39 students

d)

272 students

59.

A car payment represents 8% of a family's monthly budget. If the car payment is $232 per month, what amount of money represents the family's monthly budget?

a)

$3,448

b)

$2,900

c)

$2,675

d)

$1,856

60.

A school has 24 teachers. Of those teachers, 18 bought lunch today. What percent of the teachers bought lunch today?

a)

18%

b)

24%

c)

25%

d)

75%

61.

If 35% of a company's advertising budget is $7,000, what is the full advertising budget?

a)

$20,000

b)

$2,450

c)

$15,000

d)

$6,375

62.

On Friday, Pizza Place sold a total of 120 pizzas. 30% of the pizzas sold were plain cheese pizzas. How many plain cheese pizzas were sold?

a)

36 pizzas

b)

48 pizzas

c)

400 pizzas

d)

135 pizzas

63.

On Friday, Pizza Place sold a total of 120 pizzas. 30 of the pizzas sold were vegetarian pizzas. What percent of the pizzas sold were vegetarian pizzas?

a)

25%

b)

50%

c)

30%

d)

15%

64.

There are 180 students enrolled at Adams Middle School. If 65% of the students are boys, how many boys are in the school?

a)

17 boys

b)

70 boys

c)

87 boys

d)

117 boys

65.

What is 15% of 40?

a)

6

b)

267

c)

10

d)

152

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