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WorksheetsSolving Problems with Ratios of Fractions
Total questions: 62
Worksheet time: 31mins
Determine the ratio of baby weight to adult weight for each animal. Round to the nearest thousandth, when necessary.
0.004
0.040
0.400
0.0004
Determine the ratio of baby weight to adult weight for each animal. Round to the nearest thousandth, when necessary.
0.037
0.073
0.307
0.003
Determine the ratio of baby weight to adult weight for each animal. Round to the nearest thousandth, when necessary. 3. Polar Bear: _______
0.002
0.02
0.02
0.0002
Determine the ratio of baby weight to adult weight for each animal. Round to the nearest thousandth, when necessary. 4. Elephant: _______
0.025
0.15
0.002
0.45
Determine the ratio of baby weight to adult weight for each animal. Round to the nearest thousandth, when necessary.
0.001
0.01
0.1
0.05
Based on the table of animal weights, which list shows the animals in order from the least to the greatest ratio of baby weight to adult weight?
Elephant, Tiger, Polar Bear, Giraffe, Panda
Panda, Giraffe, Polar Bear, Tiger, Elephant
Tiger, Elephant, Giraffe, Panda, Polar Bear
Giraffe, Panda, Tiger, Elephant, Polar Bear
Rewrite the following rate as a unit rate: A cell phone company mistakenly advertises that their data plan costs 50 cents for every 10 kilobytes of data.
5 cents per kilobyte
0.5 cents per kilobyte
10 cents per kilobyte
50 cents per kilobyte
Rewrite the following rate as a unit rate: A store advertises that 12-ounce sodas are 99 cents each.
99 cents per 12-ounce soda
12 ounces per 99 cents
99 cents per ounce
12 sodas per 99 cents
Rewrite the following rate as a unit rate: A carnival game advertises 50 cents to toss 4 rings.
12.5 cents per ring
10 cents per ring
20 cents per ring
2 cents per ring
Rewrite the following rate as a unit rate: At a yard sale, Mason sees a sign that advertises 85 cents for 5 books.
17 cents per book
5 cents per book
85 cents per book
20 cents per book
Rewrite the following rate as a unit rate: An office supply store is having a back-to-school sale and advertises in the local paper that pencils are 88 cents for 11.
8 cents per pencil
11 cents per pencil
7 cents per pencil
88 cents per pencil
Rewrite the following rate as a unit rate: A restaurant advertises that wings are 75 cents for 2 on Monday nights.
37.5 cents per wing
75 cents per wing
2 cents per wing
150 cents per wing
Rewrite the following rate as a unit rate: A fast-food restaurant has a sign that says '5 chicken nuggets for 95 cents.'
19 cents per chicken nugget
15 cents per chicken nugget
25 cents per chicken nugget
10 cents per chicken nugget
Rewrite the following rate as a unit rate: A recycling center claims to give 96 cents for every 12 aluminum cans turned in.
8 cents per aluminum can
12 cents per aluminum can
6 cents per aluminum can
10 cents per aluminum can
Convert the rate 5 feet per 3 seconds to yards per hour.
2000 yards per hour
1000 yards per hour
6000 yards per hour
3000 yards per hour
Convert the rate 1000 fluid ounces per 2 hours to cups per minute.
6.25 cups per minute
4.17 cups per minute
8.33 cups per minute
2.08 cups per minute
Convert the rate of 10 yards per 5 minutes to feet per hour.
120 feet per hour
360 feet per hour
600 feet per hour
1200 feet per hour
Convert the rate of 48 feet per hour to inches per minute.
9.6 inches per minute
4 inches per minute
8 inches per minute
12 inches per minute
Convert the rate of 12 pints per 15 minutes to quarts per hour.
16 quarts per hour
12 quarts per hour
24 quarts per hour
8 quarts per hour
Convert the rate of 48 ounces per 2 hours to pounds per day.
18 pounds per day
12 pounds per day
6 pounds per day
24 pounds per day
Identify the student who can type at a greater rate of words per minute.
Student A
Student B
Both students type at the same rate
Neither student can type
Adriana takes 5/12 hour to complete 50 math problems. Carlos is able to complete 48 math problems in 2/5 hour. Which student can complete math problems at a greater rate of problems per hour?
Adriana can complete math problems at a greater rate per hour.
Carlos can complete math problems at a greater rate per hour.
Both Adriana and Carlos complete math problems at the same rate per hour.
Neither Adriana nor Carlos can complete math problems at a greater rate per hour.
The computer that downloads at a greater rate of megabytes per minute is:
John's computer
Mary's computer
Alex's computer
Sarah's computer
The person who travels at a greater rate of miles per hour is:
the one who covers more miles in less time
the one who covers fewer miles in more time
the one who covers the same miles in more time
the one who covers fewer miles in less time
Mei drove 45 miles and used 3 3/4 gallons of gas. Luna drove 85 miles and used 5 2/3 gallons of gas. Which driver used fewer gallons of gas per mile?
Mei used fewer gallons of gas per mile.
Luna used fewer gallons of gas per mile.
Both used the same amount of gas per mile.
Not enough information to determine.
Identify which baker made cookies at a greater rate of batches per hour.
Baker A
Baker B
Both bakers made cookies at the same rate
Cannot be determined from the information given
When a person in a painting is 63 centimeters tall, how tall is the person’s head?
9 centimeters
12 centimeters
6 centimeters
15 centimeters
The Appalachian Trail is a 2,155-mile hiking trail in the Eastern United States. You plan to hike the section of the trail that is in New Jersey at a rate of 9 miles per day. When the hike will take you 8 days, what is the length of the trail in New Jersey?
72 miles
81 miles
64 miles
90 miles
The average person breathes 35 pounds of air per day. At this rate, how many pounds of air will the average person breathe in seven days?
245 pounds
175 pounds
70 pounds
315 pounds
You are on a hockey team. Your time on the ice is 12 minutes per game. A season is twenty games. How many minutes do you play during the season?
240 minutes
120 minutes
60 minutes
200 minutes
In an hour, a jogger burns about 4 calories per pound of body weight. How many calories will a jogger who weighs 151 pounds burn in an hour?
604 calories
151 calories
755 calories
302 calories
In the old British money system, 5 shillings was equal in value to 1 crown. Emily had 45 shillings. What was the value in crowns?
9 crowns
7 crowns
5 crowns
12 crowns
A scale model of a train is constructed at the ratio 1 : 87.1. If the scale model of a locomotive is 10.4712 inches long, how long is the actual locomotive in feet?
76 feet
91 feet
58 feet
101 feet
Determine each unit rate and graph each rate on the coordinate plane. 1. 3/4 cup of punch to 1/8 cup of lemon-lime.
Unit rate = 6 cups of punch per cup of lemon-lime.
Unit rate = 1/6 cups of punch per cup of lemon-lime.
Unit rate = 9 cups of punch per cup of lemon-lime.
Unit rate = 0.5 cups of punch per cup of lemon-lime.
Determine each unit rate and graph each rate on the coordinate plane. 2. 1 cup of lemon-lime : 1 1/2 cups of punch.
Unit rate = 1.5 cups of punch per cup of lemon-lime.
Unit rate = 0.5 cups of punch per cup of lemon-lime.
Unit rate = 2 cups of punch per cup of lemon-lime.
Unit rate = 1 cup of punch per cup of lemon-lime.
The diameter of a circle is 4 cm. Determine the area of the circle.
12.56 cm²
6.28 cm²
8.00 cm²
25.12 cm²
The radius of a circle is 3 ft. Determine the circumference of the circle.
18.84 ft
9.42 ft
28.26 ft
6 ft
A football team won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to play to win 50 games?
80
60
75
100
The 18 wind turbines on a hill are enough to meet the electrical needs of all 6 houses on a city street. How many wind turbines are needed to meet the electrical needs of 26 houses?
78
54
36
26
Between 1990 and 2000, the population of New York City increased at a rate of 32 people every four hours. By how many people would the population have increased in 63 hours?
504
512
496
480
A local survey determined that 4 out of every 10 Internet users have downloaded music at some point. At this rate, out of 60 Internet users, how many have downloaded music?
24
16
40
36
The string that produces the lowest tone on a piano vibrates 87 times in 3 seconds. How many times would this string vibrate in 12 seconds?
348
261
1044
435
A 10-ounce package of animal cookies costs $2. What should a 35-ounce package cost, assuming the same cost per ounce?
$7
$5
$6
$8
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 1. 284=35x
5
4
6.25
3.5
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 2. 12 : 6 = 60 : x
30
10
12
6
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 3. 560 : 80 = x : 300
2100
1500
700
1200
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 4. 28241=x7
x = 48.17
x = 16.43
x = 82.57
x = 19.71
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 5. 939=2x
8.67
4.50
13.00
2.25
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 6. 74 : 31 = 2 : x
0.84
1.15
4.21
11.47
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 7. 3x=71351
579
647.5
193
405.33
Solve for each variable using the means and extremes method. Round to the nearest hundredth, when necessary. 8. 26 : x = 117 : 9
2
3.5
13.5
40.5
How many kilometers did Camilla travel?
281.6 kilometers (1 mile = 1.609 km, so 175 x 1.609 = 281.575)
175 kilometers
320 kilometers
210 kilometers
Parker weighs 165 pounds. What is his mass in kilograms?
74.8 kilograms (1 pound = 0.454 kg, so 165 x 0.454 = 74.91)
90.0 kilograms
60.0 kilograms
100.0 kilograms
How many pounds of ground chicken does she need?
1.1 pounds
0.5 pounds
2 pounds
3 pounds
Diego needs to refill his lawn mower gas tank. The tank holds 4.2 liters of gas. How many gallons of gas does the tank hold?
1.1 gallons
0.5 gallons
2.0 gallons
3.5 gallons
Isaiah is going to compete in a 5000-meter race. How long is the race in yards?
5468 yards (1 meter = 1.094 yards, so 5000 x 1.094 = 5470)
5000 yards
6000 yards
4500 yards
How tall is Kayla’s favorite basketball player in feet?
6.9 feet (1 meter = 3.281 feet, so 2.1 x 3.281 = 6.8901)
5.5 feet
7.2 feet
6.2 feet
Which numbers between 1 and 20 have equal number-to-letter-count ratios?
2 and 4
3 and 6
5 and 10
7 and 14
Spaced Practice 1a. The table shows the gallons filled in a pool over time. Complete the table.
Gallons Filled: 62.5, 125, 250, 500, 312.5
Gallons Filled: 60, 120, 240, 480, 300
Gallons Filled: 65, 130, 260, 520, 325
Gallons Filled: 70, 140, 280, 560, 350
Determine a unit rate for this situation.
The unit rate is 5 miles per hour.
The unit rate is 10 miles per hour.
The unit rate is 2 miles per hour.
The unit rate is 20 miles per hour.
Spaced Practice 2. Pi is the ratio of which two measures of a circle?
Circumference to diameter
Radius to diameter
Diameter to radius
Area to circumference
Spaced Practice 3. Which is a better deal—a 16-inch diameter pizza for 12.99oran8−inchdiameterpizzafor 6?
The 16-inch pizza for $12.99
The 8-inch pizza for $6
Both are the same deal
Neither is a good deal
