WorksheetsSolving Problems Using Proportional Reasoning
Total questions: 20
Worksheet time: 40mins
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?
3 inches / 1 hour
3 hours / inch
1 inch / 3 hours
1 hour / 3 inches
A piece of luggage sells for $225.00. It is on sale this week for $195.00. What is the percent decrease, to the nearest whole percent?
18%
15%
13%
16%
The price of a coat increased from $82 to $90. What is the approximate price increase percentage?
9%
15%
14%
10%
Vanessa earned $76.00 in 8 hours. How much did she earn per hour?
$10.50
$8.00
$9.50
$10.00
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?
222 miles per gallon
3 miles per gallon
210 miles per gallon
36 miles per gallon
In chemistry, Seth recorded the weight of copper tubing as 15.4 grams. The actual weight was 15.8 grams. What is his percent of error, rounded to the nearest percent?
4%
6%
3%
5%
A ticket for a school musical is $12. There is a 5% transaction fee if the ticket is purchased online. What is the total cost of a ticket that is purchased online?
$12.60
$12.05
$12.65
$18.00
A bill at a restaurant is $60. A 15% tip is left for the server. What is the total cost of the bill?
$75.00
$69.00
$9.00
$45.00
Tallia typed 416 words in 8 minutes. Which of the following is a correct understanding of this rate?
At this rate, it takes Tallia 52 minutes to type one word
At this rate, Tallia can type 52 words in 8 minutes
At this rate, Tallia can type 52 words in one minute.
At this rate, Tallia can type 8 words in one minute.
An airplane descends 300 feet every 6 seconds. By how many feet does the airplane descend in 1 second?
(a)
A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average rate of growth, in feet per month?
3
3.5
5
6
Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany. He received 24 euros (EUR). Which of these describes Christopher’s exchange rate from euros to United States dollars?
0,75 EUR / 1.00 USD
0.80 EUR / 1.00 USD
1.00 EUR / 0.80 USD
1.25 EUR / 1.00 USD
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?
1 1/3
32
3/4
3
Tia was flying her model airplane. It took the airplane 5 seconds to go 90 feet. What was the average rate of speed of the model airplane, in feet per second?
18
45
55
90
Brad can type 1260 words in 1/2 hour. What is Brad’s average typing rate in words per minute?
10.5 words per minute
42 words per minute
21 words per minute
84 words per minute
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?
$5.25
$4.50
$5.50
$4.20
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?
$6 paid for 6 football tickets
6 football tickets for $24
$6 paid for 2 football tickets
12 football tickets for $72
Susan received $27 for 6 hours of work. Ricky received $14.25 for 3 hours of work. Which statement is true about their rates?
Susan's rate was closer to $5.00.
Ricky was paid at half Susan's rate.
Ricky's rate was $0.25 more per hour.
Susan's rate was $0.70 more per hour.
In 1999, Hong Kong had a population of approximately 7,000,000 people. The area of Hong Kong is approximately 1042 square kilometers. What was the approximate population density of Hong Kong in persons per square kilometer?
67
6700
670
67,000
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?
Joe's vehicle averaged 2 fewer miles per gallon than Mike's.
Mike's vehicle averaged 3 more miles per gallon than Joe's.
Joe's vehicle averaged 2 more miles per gallon than Mike's.
Mike's vehicle averaged 10 more miles per gallon than Joe's.
