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Quizzes > High School Quizzes > Mathematics

Practice Quiz: Find Missing Unit Rate Numbers

Practice unit rate problems and boost your math confidence

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting Unit Rate Riddles quiz for middle school students.

If 4 notebooks cost $12, what is the cost of one notebook?
$3
$4
$2
$6
To find the unit rate, divide the total cost by the number of notebooks. $12 ÷ 4 equals $3 per notebook.
If 8 candies cost $4, what is the cost of one candy?
$0.50
$1.00
$0.25
$2.00
Divide the total cost by the number of candies. $4 divided by 8 equals $0.50, which is the cost per candy.
If 5 erasers cost $10, what is the price of one eraser?
$2
$5
$10
$1
Calculate the unit rate by dividing the total cost by the number of erasers. $10 ÷ 5 equals $2 per eraser.
A car travels 60 miles in 2 hours. What is the distance traveled per hour?
30 miles per hour
20 miles per hour
40 miles per hour
60 miles per hour
The unit rate is determined by dividing the total miles by the total hours. 60 miles divided by 2 hours equals 30 miles per hour.
If 10 apples cost $15, what is the price of one apple?
$1.50
$2.00
$1.00
$0.50
To find the unit cost, divide the total cost by the number of apples. $15 ÷ 10 equals $1.50 per apple.
A cyclist covers 45 miles in 3 hours. What is his speed in miles per hour?
15 mph
13 mph
18 mph
21 mph
Divide 45 miles by 3 hours to obtain the speed. 45 ÷ 3 equals 15 mph, which is the unit rate of speed.
If a recipe uses 200 grams of flour to serve 4 people, how many grams of flour does one person get?
50 grams
40 grams
60 grams
80 grams
Dividing 200 grams by 4 gives the amount of flour per person. 200 ÷ 4 equals 50 grams per person.
A machine produces 90 widgets in 6 minutes. How many widgets does it produce per minute?
15 widgets per minute
10 widgets per minute
18 widgets per minute
20 widgets per minute
To determine the production rate, divide 90 widgets by 6 minutes. This results in 15 widgets per minute.
If 7 hours of work produces 28 units, what is the production rate per hour?
4 units per hour
5 units per hour
3 units per hour
7 units per hour
Divide the total output (28 units) by the total time (7 hours) to find the unit rate. 28 ÷ 7 equals 4 units per hour.
A farmer harvests 120 pounds of apples from 4 trees. What is the yield per tree?
30 pounds
20 pounds
40 pounds
60 pounds
Divide 120 pounds by 4 trees to find the yield per tree. The calculation yields 30 pounds per tree.
If 3 notebooks cost $9, which equation correctly finds the cost (x) of one notebook?
x = 9 ÷ 3
x = 3 × 9
x = 9 - 3
x = 9 + 3
Finding the unit cost requires dividing the total cost by the quantity. Thus, x = 9 ÷ 3 is the correct equation to determine the individual notebook's cost.
A printer prints 150 pages in 5 minutes. How many pages does it print per minute?
30 pages per minute
25 pages per minute
35 pages per minute
40 pages per minute
Divide the total number of pages (150) by the total minutes (5) to calculate the unit rate. 150 ÷ 5 equals 30 pages per minute.
If a car uses 10 gallons of gas to travel 300 miles, what is its fuel efficiency in miles per gallon?
30 mpg
25 mpg
35 mpg
40 mpg
Fuel efficiency is determined by dividing the total miles traveled by the gallons of gas used. 300 ÷ 10 gives 30 mpg.
A school library buys 5 boxes of pens for $75. What is the cost per box?
$15
$10
$20
$25
Divide the total cost by the number of boxes to get the cost for one box. $75 ÷ 5 equals $15 per box.
If a recipe calls for 2 cups of sugar to make 16 cookies, how many cups of sugar are needed per cookie?
0.125 cup
0.25 cup
0.5 cup
1 cup
Divide 2 cups of sugar by 16 cookies to find the unit rate. The result, 0.125 cup per cookie, is the amount of sugar needed for each cookie.
If 8 notebooks cost $x and the unit price is $2, what is the value of x?
$16
$10
$20
$14
Multiply the unit price by the number of notebooks. 8 notebooks times $2 per notebook equals $16.
A car travels x miles in 3 hours at a constant speed of 40 mph. What is the value of x?
120 miles
100 miles
140 miles
160 miles
Distance is calculated by multiplying speed and time. At 40 mph for 3 hours, the distance x equals 40 × 3, which is 120 miles.
If 9 pencils cost $y and each pencil costs $0.75, what is the value of y?
$6.75
$7.50
$8.25
$9.00
Multiply the cost per pencil by the number of pencils. 9 pencils at $0.75 each yield a total cost of $6.75.
In a scenario where 15 meters of fabric cost $x and the unit cost is $2 per meter, determine x.
$30
$25
$32
$20
Multiply the length of the fabric by the cost per meter. 15 meters times $2 equals $30.
A factory produces x gadgets in 6 hours if it operates at a rate of 50 gadgets per hour. What is the value of x?
300 gadgets
250 gadgets
350 gadgets
400 gadgets
Multiply the production rate by the time to get total production. Operating at 50 gadgets per hour for 6 hours yields 300 gadgets.
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Study Outcomes

  1. Solve word problems involving unit rates.
  2. Determine missing numbers in unit rate scenarios.
  3. Analyze relationships between quantities and their unit rates.
  4. Apply unit rate concepts to practical and theoretical problems.
  5. Improve test readiness through targeted problem-solving practice.

Unit Rate Quiz: Find the Missing Number Cheat Sheet

  1. Understand the Definition of Unit Rate - A unit rate compares two different quantities by showing how much of one thing you get for exactly one of another. Think of it as the "magic number" that unravels real-world puzzles like speed or price. Mastering this concept helps you decode everyday ratios like a pro. Unit Rate Basics
  2. mathsisfun.com
  3. Master the Unit Rate Formula - To find a unit rate, simply divide the first quantity by the second, making sure the result is per one unit. It's like slicing a pizza into exactly one-piece servings so you know the size of a single slice. This simple division trick unlocks clarity in any ratio problem. Formula Breakdown
  4. geeksforgeeks.org
  5. Recognize Common Unit Rate Examples - Unit rates pop up everywhere: miles per hour on a road trip, cost per item at the store, or even calories per bite of your favorite snack. Spotting these familiar patterns builds your confidence and speed in solving problems. Keep an eye out for them in daily life to make math stick! Everyday Examples
  6. byjus.com
  7. Practice Converting Rates to Unit Rates - Given a rate like 150 miles in 3 hours, divide 150 by 3 to find 50 miles per hour - easy peasy. Regularly converting different scenarios (like price per pound or pages per day) trains your brain to recognize the pattern instantly. The more you practice, the faster you become! Conversion Practice
  8. onlinemathlearning.com
  9. Apply Unit Rates to Real-Life Problems - Use unit rates to compare shopping deals, plan travel times, or even budget your snack stash. When you translate a big number into a per-one-unit measure, making smart choices becomes a breeze. Real-life math feels way cooler when you see it in action! Real-Life Uses
  10. byjus.com
  11. Understand the Relationship Between Ratios and Unit Rates - A unit rate is just a special ratio with the second quantity fixed at one. Grasping this link helps you tackle proportions, scale models, and more complicated ratio challenges without breaking a sweat. It's ratio mastery, level unlocked! Ratios vs. Unit Rates
  12. byjus.com
  13. Use Mnemonic Devices to Remember Conversions - Catchy phrases like "King Hector Doesn't Usually Drink Cold Milk" help you recall metric prefixes (Kilo, Hecto, Deca, Unit, Deci, Centi, Milli). These memory hacks turn intimidating conversion charts into fun word games. Soon you'll be flipping between meters and millimeters in your sleep! Mnemonic Tricks
  14. tagvault.org
  15. Solve Word Problems Involving Unit Rates - Break down each problem by spotting the quantities, setting up a ratio, and simplifying to the unit rate. This step-by-step approach helps you avoid mix-ups and power through tricky scenarios with ease. Word problems? More like word victories! Problem-Solving Steps
  16. onlinemathlearning.com
  17. Recognize Equivalent Rates - Different-looking rates can actually be identical at their core - for example, 100 miles in 2 hours is the same as 50 miles per hour. Spotting these twins helps you simplify data quickly and avoid redundant calculations. It's like discovering secret math matches! Equivalent Rates Guide
  18. byjus.com
  19. Practice, Practice, Practice - There's no substitute for regular drills when it comes to unit rates. The more problems you tackle, the sharper your skills become - and the more fun you'll have when you spot unit rates everywhere. Get out there, mix coupons with speed signs, and turn every challenge into a win! Practice Hub
  20. onlinemathlearning.com
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