Grade 7 · Math

7th grade Change a rate from one pair of units to another worksheet

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Change a rate from one pair of units to another

Grade 7 Math Worksheet

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Circle the best answer, or write your answer on the line.

Kira's school bus drives 45 miles per hour on the highway. Remember: 1 mile = 5,280 feet and 1 hour = 3,600 seconds. How many feet per second is that?
Milo's car drives 75 miles per hour on an open highway. Remember: 1 mile = 5,280 feet and 1 hour = 3,600 seconds. How many feet per second is that?
Noah walks the dog at 3 miles per hour. Remember: 1 mile = 5,280 feet and 1 hour = 60 minutes. How many feet per minute is that?
Pia jogs at 6 miles per hour in new sneakers. Remember: 1 mile = 5,280 feet and 1 hour = 60 minutes. How many feet per minute is that?
Ren rides at 12 miles per hour. Remember: 1 mile = 5,280 feet and 1 hour = 60 minutes. How many feet per minute is that?
Zee's car drives 90 kilometers per hour on the highway. Remember: 1 kilometer = 1,000 meters and 1 hour = 3,600 seconds. How many meters per second is that?
Ari's bike goes 18 kilometers per hour. Remember: 1 kilometer = 1,000 meters and 1 hour = 3,600 seconds. How many meters per second is that?
Bo's faucet fills a tub at 2 gallons per minute. Remember: 1 gallon = 4 quarts and 1 hour = 60 minutes. How many quarts per hour is that?
Esme's garden hose delivers 6 liters per minute. Remember: 1 liter = 1,000 milliliters and 1 minute = 60 seconds. How many milliliters per second is that?
Jun's scooter rolls 300 meters per minute. Remember: 1 kilometer = 1,000 meters and 1 hour = 60 minutes. How many kilometers per hour is that?

Change a rate from one pair of units to another. Every version has 10 questions, and the answer key prints on the second page.

I can change the distance unit and the time unit of a rate, one at a time, with a ratio table.
I can change miles per hour to feet per second (1 mile = 5,280 feet; 1 hour = 3,600 seconds) and go back the other way.
I can compare two speeds by changing one of them to the other's units.

Standard: 7.RP.A.1 (unit rates of quantities in different units), 7.RP.A.3 (partial: multi-step ratio problems); 6.RP.A.3d is the one-step base

rate: A comparison of two different units, like 45 miles per 1 hour.

conversion fact: A pair that names the same amount two ways: 1 mile = 5,280 feet.

unit analysis: Changing one unit at a time, so the units you want are left.

per: "For each one": 66 feet per second is 66 feet for each second.

round to the nearest tenth: Keep one digit after the point; look at the next digit to round.

Your child multiplied where the conversion needs dividing, or the other way round.

Your child added the conversion number instead of multiplying.

Your child changed the distance units but not the time units.

Ask: will the number get bigger or smaller in the new unit?

Ask: if 1 hour is 60 minutes, how many minutes are in 8 hours?

Ask: the rate was per hour, and the answer is per second: what changes the hour into seconds?

What is the most common mistake with change a rate from one pair of units to another?

Your child multiplied where the conversion needs dividing, or the other way round.

How can I help my child with change a rate from one pair of units to another?

Ask: will the number get bigger or smaller in the new unit?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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