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Worksheets

Solving Proportions

Total questions: 54

Worksheet time: 4hrs 59mins

Name
Class
Date
1.

If there are 12 months in every year, how many months are in 6 years?

a)

36 months

b)

48 months

c)

60 months

d)

72 months

2.

If 1 foot = 12 inches, how many inches are in 5 feet?

a)

30 inches

b)

40 inches

c)

50 inches

d)

60 inches

3.

The cost of plastic cups, C dollars, is directly proportional to the number of plastic cups, n. The cost of 6 plastic cups is $2.34.

a) Find the cost per plastic cup. (Write in dollar form)

(a)  

4.

Every month Claire deposits $600 into her savings account. Write an equation that shows the relationship between the amount saved and the number of months passed.

a)

y=12x

b)

y=6x

c)

y=600x

d)

Not Proportional

5.

Savannah earned $80 for working 4 hours. If Savannah works 8 hours she earns $160. Determine if Savannah earns a constant rate of pay. If she does, write an equation for how much she earns.

a)

y=20x

b)

y=2x

c)

y=30x

d)

Not Proportional

6.

Six movie tickets cost $240. How much do 2 movie tickets cost?

a)

$30

b)

$80

c)

$60

d)

$90

7.

If four ice creams cost $3.20, what would 8 ice cream cost?

a)

$7.20

b)

$6.40

c)

$10.00

d)

$9.60

8.

6 pencils costs 36 cents. How much do 2 pencils cost?

a)

6

b)

12

c)

3

d)

8

9.

An NFL team kicker misses 2 out of every

11 field goals. If he missed 8 field goals

throughout the season, how many did he attempt?

a)

22 attempts

b)

44 attempts

c)

88 attempts

d)

5 attempts

10.

The United States Air Force has 19 women

for every 81 men enlisted. If a squadron has

250 members, approximately how many are

men?

a)

about 203

b)

about 3

c)

about 100

d)

about 250

11.

The library at school is organized by

fiction and non-fiction books. There are 3

non-fiction books for every 7 fiction books.

How many total books are there if the library

has 240 non-fiction books?

a)

80 books

b)

300 books

c)

800 books

d)

500 books

12.

Steven earns extra money babysitting. He charges $31.25 for 5 hours. How much would he earn in 3 hours?

a)

$18.75

b)

$22.50

c)

$27.25

d)

$10.75

13.

A car rental company charges $74 for a 4 day rental. How much would it cost someone to rent a car for 6 days?

a)

$111

b)

$148

c)

$127

d)

$92.50

14.

A submarine dives 300 feet every 2 minutes. How far did he dive in 15 minutes?

a)

9,000 feet

b)

1,800 feet

c)

2, 250 feet

d)

1,500 feet

15.

A greyhound can run 330 ft in 5 seconds. How far can they run in 12 seconds?

a)

66 ft

b)

634 ft

c)

792 ft

d)

500 ft

16.
Solve.
a)
4
b)
1
c)
16
d)
2
17.
Solve the proportion:
a)
3
b)
4
c)
9
d)
6
18.
Cross Multiply/Cross Products
a)
15
b)
420
c)
28
d)
16
19.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
20.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
21.

Use cross products to solve each proportion.

25=x35\frac{2}{5}=\frac{x}{35}

22.

Use cross products to solve each proportion.

x75=915\frac{x}{75}=\frac{9}{15}

23.

Use cross products to solve each proportion.

211=12x\frac{2}{11}=\frac{12}{x}

24.

Use cross products to solve each proportion.

x42=67\frac{x}{42}=\frac{6}{7}

25.

v = (a)  

26.

x = (a)  

27.

g = (a)  

28.

d = (a)  

29.

m = (a)  

30.
a)
1
b)
2
c)
4
d)
8
31.

Write and solve a proportion to determine how many yards are in 63 feet. Use the conversion that 1 yard = 3 feet.

a)

180 yd

b)

18.9 yd

c)

189 yd

d)

21 yd

32.
Solve for x by setting up a proportion.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
33.

At the same time a 6 foot person casts a 2 foot shadow, a nearby statue casts a ten foot shadow. How tall is the statue? Hint: drawing a picture might help visualize the problem to set up a proportion.

a)

3 feet

b)

10 feet

c)

16 feet

d)

30 feet

34.

Since 1 pound equals 16 ounces, how many pounds is 3,200 ounces? Write and solve a proportion.

a)

200 lb

b)

20 lb

c)

512,000 lb

d)

2 tons

35.

Alice earned $20.40 in 3 hours. At the same rate, what would Alice make in 8 hours?

a)

$54.40

b)

$6.80

c)

$56.10

d)

$57.00

36.

Alice earned $20.40 in 3 hours. At the same rate, what would Alice make in 8 hours?

a)

$54.40

b)

$6.80

c)

$56.10

d)

$57.00

37.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
38.
a)
14
b)
7
c)
2
d)
112
39.
a)
15
b)
30
c)
60
d)
12
40.
a)
1
b)
4
c)
2.5
d)
10
41.
a)
1
b)
2
c)
4
d)
8
42.
Harold took a total of 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?
a)
5 weeks
b)
6 weeks
c)
7 weeks
d)
8 weeks
43.
Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?
a)
15 presents
b)
16 presents
c)
14 presents
d)
13 presents
44.
Sasha jarred 25 liters of jam after 5 days. How much jam did Sasha jar if she spent 7 days making jam?
a)
35 jars
b)
30 jars
c)
25 jars
d)
40 jars
45.
If 3 pounds of apples costs $0.90, how much will 10 pounds cost?
a)
$3.00
b)
$2.50
c)
$3.50
d)
$2.25
46.
Keith bought 4 shirts for $36. At this rate, what would his cost be for 7 shirts?
a)
$63.00
b)
$53.00
c)
$43.00
d)
$73.00
47.
The ratio of cups of sugar to cups of flour needed to bake cookies is 1:5. If Myesha uses 25 cups of flour, how much sugar is needed?
a)
125 cups
b)
5 cups
c)
15 cups
d)
10 cups
48.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
49.
Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10
a)
8 pounds
b)
7 pounds
c)
6 pounds
d)
9 pounds
50.

The cost of 50 apples is $25.00.  How much would 75 apples cost?

a)

25 dollars50 apples=? dollars75 apples\frac{25\ dollars}{50\ apples}=\frac{?\ dollars}{75\ apples}

b)

75 apples25 dollars=? dollars50 apples\frac{75\ apples}{25\ dollars}=\frac{?\ dollars}{50\ apples}

51.

The cost of 50 apples is $25.00.  How much would 75 apples cost?

25 dollars50 apples=? dollars75 apples\frac{25\ dollars}{50\ apples}=\frac{?\ dollars}{75\ apples}

a)
$12.50
b)
$50.00
c)
$37.50
d)
$75.00
52.

It takes Mike 18 minutes to finish reading 4 pages of a book.  If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?

a)

30 pages4 min=? min18 pages\frac{30\ pages}{4\ \min}=\frac{?\ \min}{18\ pages}

b)

18 min4 pages=? min30 pages\frac{18\ \min}{4\ pages}=\frac{?\ \min}{30\ pages}

53.

It takes Mike 18 minutes to finish reading 4 pages of a book.  If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?

18 min4 pages=? min30 pages\frac{18\ \min}{4\ pages}=\frac{?\ \min}{30\ pages}

a)
125 minutes
b)
162 minutes
c)
72 minutes
d)
135 minutes
54.

Four big water bottles can hold 8 gallons of water.  How much water can 3 big water bottles hold?

8 gallons4 water jugs=? gallons3 water jugs\frac{8\ gallons}{4\ water\ jugs}=\frac{?\ gallons}{3\ water\ jugs}

a)
6 gallons
b)
4 gallons
c)
12 gallons
d)
2 gallons