Compare Rates to Decide Who Is Faster
Written by Adi Ackerman, Head Teacher
"Compare Rates to Decide Who Is Faster" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.RP.A.3.B. If your student is a year younger but already steady on ratios, the page still works. You may just need to read the instructions out loud. And if they are older and rates and unit rates never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: find and compare 2 unit rates in 4 problems, like Jonah and Thandiwe running, to decide who is faster. Answer key included. Part of our rates and unit rates ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What students will practice
- Students will find two unit rates in each of 4 problems and circle the answer.
- Students will compare speeds in meters per second, words per minute and pages per minute.
- Students will compare pay of $15.50 and $15.75 per hour.
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 6th Grade
Standard: Solve unit rate problems including those involving unit pricing and constant speed.
View all 6.RP.A.3.B worksheets →Find this in the curriculum
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FAQ
How do I use this rates and unit rates worksheet?
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Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What does this worksheet teach?
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Find and compare 2 unit rates in 4 problems, like Jonah and Thandiwe running, to decide who is faster. The directions on the page read: Find both unit rates and show your work in the space under each problem. Circle the name that answers the question. Write rates as decimals and money to the nearest cent. An answer key is included.
Can I use this rates and unit rates worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade ratios, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with rates and unit rates. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you find a unit rate?
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Divide the first quantity by the second. Ava drove 186 miles in 3 hours, so 186 ÷ 3 = 62 miles per hour. A hose that fills a 150-liter tank in 8 minutes flows 18.75 liters per minute.
How do you find the better buy?
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Find the unit price of each package by dividing the price by the number of units, then pick the lower one. Cereal at 12 oz for $3.48 is $0.29 per oz and 18 oz for $4.99 is $0.28 per oz, so the larger box is the better buy.
How do you convert a rate with unit analysis?
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Multiply by a conversion factor written as a fraction so the old unit cancels. 120 feet per minute × (1 minute over 60 seconds) = 2 feet per second.
Why is a percent a rate?
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A percent is a rate per 100. On a hundred grid each square is 1 percent, so 37 shaded squares are 37%, 37/100 or 0.37.
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