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Proportional Reasoning Word Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

A snail travels 9 inches in a span of 3 hours. Which of the following represents the rate of change the snail traveled with respect to the time?

a)

3 inches / 1 hour

b)

3 hours / inch

c)

1 inch / 3 hours

d)

1 hour / 3 inches

2.

Vanessa earned $76.00 in 8 hours. How much did she earn per hour?

a)

$10.50

b)

$8.00

c)

$9.50

d)

$10.00

3.

Lydia drove 216 miles and used 6 gallons of gasoline on a recent trip. Which of the following represents the unit rate of gasoline used on this trip?

a)

222 miles per gallon

b)

3 miles per gallon

c)

210 miles per gallon

d)

36 miles per gallon

4.

Tallia typed 416 words in 8 minutes. Which of the following is a correct understanding of this rate?

a)

At this rate, it takes Tallia 52 minutes to type one word

b)

At this rate, Tallia can type 52 words in 8 minutes

c)

At this rate, Tallia can type 52 words in one minute.

d)

At this rate, Tallia can type 8 words in one minute.

5.

Bella is making a recipe that requires a certain ratio of sugar to flour. If she uses 16 cups of flour, how many cups of sugar does she need to maintain the ratio of 60:48?

a)

3

b)

15

c)

20

d)

10

6.

While preparing for a triathlon, Janecia swims 8 minutes for every 20 minutes she bikes.  If she swims 72 minutes, how long does she bike for?

a)

180 minutes

b)

144 minutes

c)

92 minutes

d)

80 minutes

7.

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

a)

$10.71

b)

$449.82

c)

$409

d)

$107.10

8.

Samantha runs 2 miles in 20 minutes.  About how far does she run in 55 minutes?

a)

4.5 miles

b)

5.5 miles

c)

55 miles

d)

7.2 miles

9.

The fee to check luggage with a

new airline is based on the weight

of each bag. Brett paid $7.14 to

check a 42-pound bag. How

much will Eileen pay if her bag

weighs 63 pounds?

a)

$10.71

b)

$449.82

c)

$409

d)

$107.10

10.

I had 35 assignments for the week. The ratio of English assignments to the rest of the assignment was 2:3. How many assignments were NOT English?

(a)  

11.

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

a)

$10.71

b)

$449.82

c)

$409

d)

$107.10

12.

An airplane descends 300 feet every 6 seconds. By how many feet does the airplane descend in 1 second?

(a)  

13.

A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the container. What was the average rate at which the liquid drained from the container, in fluid ounces per hour?

a)

1 1/3

b)

32

c)

3/4

d)

3

14.

Brad can type 1260 words in 1/2 hour. What is Brad’s average typing rate in words per minute?

a)

10.5 words per minute

b)

42 words per minute

c)

21 words per minute

d)

84 words per minute

15.

Amy baby-sat from 7:30 p.m. to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour?

a)

$5.25

b)

$4.50

c)

$5.50

d)

$4.20

16.

Susan received $27 for 6 hours of work. Ricky received $14.25 for 3 hours of work. Which statement is true about their rates?

a)

Susan's rate was closer to $5.00.

b)

Ricky was paid at half Susan's rate.

c)

Ricky's rate was $0.25 more per hour.

d)

Susan's rate was $0.70 more per hour.

17.

Joe’s vehicle traveled 330 miles on 15 gallons of gasoline. Mike’s vehicle traveled 360 miles on 18 gallons of gasoline. Which sentence correctly compares the miles per gallon traveled by these vehicles?

a)

Joe's vehicle averaged 2 fewer miles per gallon than Mike's.

b)

Mike's vehicle averaged 3 more miles per gallon than Joe's.

c)

Joe's vehicle averaged 2 more miles per gallon than Mike's.

d)

Mike's vehicle averaged 10 more miles per gallon than Joe's.

18.

The price of a coat increased from $82 to $90. What is the approximate price increase percentage?

a)

9%

b)

15%

c)

14%

d)

10%

19.

A bill at a restaurant is $60. A 15% tip is left for the server. What is the total cost of the bill?

a)

$75.00

b)

$69.00

c)

$9.00

d)

$45.00

20.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10