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Unit Rates Worksheet PDF Practice Quiz

Practice real examples for mastering unit rates

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting Unit Rates Unleashed trivia for middle school math students.

If 3 apples cost $6, what is the cost per apple?
$6
$1
$2
$3
Dividing the total cost of $6 by the number of apples, 3, gives a unit cost of $2 per apple. This basic division problem is fundamental in understanding unit rates.
A car travels 150 miles in 3 hours. What is its speed in miles per hour?
30 mph
45 mph
55 mph
50 mph
By dividing 150 miles by 3 hours, we determine that the car travels at a rate of 50 miles per hour. This illustrates the basic concept of calculating a unit rate.
If 8 pencils cost $4, what is the price per pencil?
$1.00
$0.25
$2.00
$0.50
Dividing $4 by 8 pencils yields $0.50 per pencil. This problem reinforces the idea of unit rate by dividing total cost by quantity.
A runner completes 400 meters in 100 seconds. What is the runner's speed in meters per second?
10 m/s
4 m/s
2 m/s
5 m/s
Dividing 400 meters by 100 seconds, we find that the runner's speed is 4 meters per second. This simple division demonstrates the calculation of a unit rate in a running scenario.
If a store sells 10 notebooks for $30, what is the price of one notebook?
$10
$3
$30
$0.30
Dividing $30 by 10 notebooks gives a unit price of $3 per notebook. This problem emphasizes understanding division to find the cost per individual item.
A bicycle travels 60 miles in 4 hours. What is its unit rate in miles per hour?
12 mph
10 mph
20 mph
15 mph
Dividing 60 miles by 4 hours results in a speed of 15 miles per hour. This calculation reinforces the concept of finding unit rates by dividing a total quantity by the total time.
If 5 gallons of paint cover 250 square feet, how many square feet can 1 gallon cover?
55 square feet
45 square feet
50 square feet
60 square feet
Dividing 250 square feet by 5 gallons shows that each gallon covers 50 square feet. This problem applies the unit rate concept to area coverage.
A recipe requires 3 cups of milk to make 12 cookies. What is the amount of milk needed per cookie?
0.33 cups
0.25 cups
1 cup
0.5 cups
Dividing 3 cups of milk by 12 cookies results in 0.25 cups per cookie. This demonstrates the process of determining a per unit amount in a recipe.
John reads 120 pages in 2 hours. What is his reading rate in pages per hour?
50 pages per hour
45 pages per hour
60 pages per hour
30 pages per hour
By dividing 120 pages by 2 hours, John's reading rate is determined to be 60 pages per hour. This is a straightforward application of the unit rate concept.
A printer can print 150 pages in 5 minutes. What is its printing rate per minute?
20 pages per minute
25 pages per minute
35 pages per minute
30 pages per minute
Dividing 150 pages by 5 minutes results in a printing rate of 30 pages per minute. This question highlights the importance of dividing totals to find a per-minute rate.
If 7 shirts cost $49, what is the price per shirt?
$8
$6
$49
$7
Dividing $49 by 7 shirts gives a cost of $7 per shirt. This basic division method is essential for determining individual item prices.
A car uses 12 gallons of fuel to travel 360 miles. What is its fuel efficiency in miles per gallon?
40 mpg
25 mpg
30 mpg
20 mpg
Dividing 360 miles by 12 gallons results in a fuel efficiency of 30 miles per gallon. This unit rate is a common measurement in automotive contexts.
A video game is priced at $60 and includes 15 bonus items. What is the cost per bonus item?
$3
$5
$15
$4
Dividing the price of $60 by 15 bonus items gives a cost of $4 per bonus item. This calculation presents the concept of dividing a total cost to establish a rate per unit.
A taxi charges $3 per mile. What is the total fare for an 8-mile ride?
$24
$32
$21
$26
Multiplying the unit rate of $3 per mile by 8 miles gives a total fare of $24. This exercise applies unit rate multiplication to determine overall cost.
If 4 notebooks cost $8, how much will 7 notebooks cost at the same rate?
$12
$16
$10
$14
First, determine the unit cost by dividing $8 by 4 notebooks, which yields $2 per notebook. Then, multiplying $2 by 7 notebooks results in a total cost of $14.
A factory produces 2,400 bottles in 8 hours. At this constant rate, how many bottles are produced per minute?
4 bottles per minute
6 bottles per minute
7 bottles per minute
5 bottles per minute
Dividing 2,400 bottles by 8 hours gives 300 bottles per hour, and dividing 300 by 60 minutes results in 5 bottles per minute. This problem requires converting hours into minutes after finding the unit rate.
A cyclist rides 135 miles in 9 hours and then rides an additional 45 miles in 1.5 hours. What is the overall average speed in miles per hour for the entire trip?
16 mph
18 mph
17.1 mph
15 mph
The total distance is 180 miles (135 + 45) and the total time is 10.5 hours (9 + 1.5), which yields an average speed of approximately 17.1 mph when dividing 180 by 10.5. This question requires combining rates over different segments.
A recipe calls for 2 1/2 cups of flour to make 30 cookies. How many cups of flour are needed per cookie (express your answer as a decimal rounded to two decimal places)?
0.09 cups
0.07 cups
0.10 cups
0.08 cups
Converting 2 1/2 cups to 2.5 and dividing by 30 cookies gives approximately 0.08333 cups per cookie, which rounds to 0.08 cups when rounded to two decimal places. This problem combines fraction conversion and division to find the unit rate.
In a school cafeteria, 3 trays of food serve 72 students. How many students does one tray serve?
20 students per tray
24 students per tray
18 students per tray
30 students per tray
Dividing 72 students by 3 trays yields a unit rate of 24 students per tray. This straightforward division demonstrates the concept of per unit distribution.
A water pump drains a pond in 6 hours when operating continuously. How many hours will it take to drain 3/4 of the pond?
5 hours
4.75 hours
4 hours
4.5 hours
Since the pump drains the entire pond in 6 hours, its rate is 1/6 of the pond per hour. To drain 3/4 of the pond, dividing 3/4 by 1/6 gives 4.5 hours. This calculation involves both division and understanding proportions.
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Study Outcomes

  1. Analyze real-world problems involving unit rates.
  2. Apply arithmetic skills to compute unit rates accurately.
  3. Interpret and compare different rate values effectively.
  4. Solve multi-step problems involving unit rate conversions.
  5. Demonstrate improved test preparation strategies through practice.

Unit Rates Worksheet PDF Cheat Sheet

  1. Understand what a unit rate is - A unit rate compares two quantities by showing how much of one quantity exists per single unit of another. For example, if a bike covers 40 miles in 2 hours, the unit rate is 20 miles per hour. Unit Rate Worksheet, Definition, Examples
  2. Unit Rate Worksheet, Definition, Examples
  3. Divide to find the unit rate - To calculate a unit rate, simply divide the first quantity by the second. If 4 gourmet donuts cost $12, dividing 12 by 4 gives a unit rate of $3 per donut. Unit Rate Worksheets
  4. Unit Rate Worksheets
  5. Spot unit rates in everyday life - You encounter unit rates whenever you see "per," like miles per hour, price per pound, or calories per serving. Recognizing these rates helps you make smart choices, from grocery shopping to tracking fitness. Unit Rate (examples, solutions, videos, worksheets)
  6. Unit Rate (examples, solutions, videos, worksheets)
  7. Compare deals using unit rates - When grocery shopping, calculate the cost per ounce or per item to find the best bargain. For instance, if a 50.7‑ounce bottle of shampoo is $6.99 and a 33.8‑ounce one is $4.79, find the cost per ounce to see which is cheaper. Comparing Unit Rates Word Problems Worksheet
  8. Comparing Unit Rates Word Problems Worksheet
  9. Recognize keywords in word problems - Look for terms like "per," "each," or "for every" to spot unit rate scenarios. Phrases like "miles per hour" or "cost per item" tell you it's time to divide! Word Problems: Finding Unit Rates
  10. Word Problems: Finding Unit Rates
  11. Practice with tables, graphs, and equations - Strengthen your skills by solving unit rate problems in different formats. Translating data from tables or graphs into a unit rate keeps your brain sharp and ready for anything. Unit Rate Problems (solutions, examples, videos, worksheets, games, activities)
  12. Unit Rate Problems (solutions, examples, videos, worksheets, games, activities)
  13. Explore different measurement units - Unit rates can involve speed (miles per hour), cost (dollars per pound), density (people per square mile), and more. Understanding the context ensures you're interpreting the rate correctly. Unit Rate Word Problems
  14. Unit Rate Word Problems
  15. Apply unit rates to real tasks - Use known rates to predict real‑world outcomes, like how many pages you can read in an hour or how many tacos you can buy for $20. Turning math into everyday wins makes study time more fun! Unit Rate Problems (solutions, examples, videos, worksheets, games, activities)
  16. Unit Rate Problems (solutions, examples, videos, worksheets, games, activities)
  17. Watch out for consistent units - Always check that your units match before dividing. Convert minutes to hours or ounces to pounds when needed to avoid silly mistakes. Unit Rate Worksheet, Definition, Examples
  18. Unit Rate Worksheet, Definition, Examples
  19. Make unit rate practice a habit - Regularly tackle diverse problems to boost confidence and speed. Soon, you'll breeze through unit rates and use them like a pro in real life! Unit Rate Worksheets
  20. Unit Rate Worksheets
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