Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Change a rate from one pair of units to another

Grade 7 Math Worksheet - Building Confidence

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

Luz jogs 5 meters each second (and waves at a squirrel). Remember: 1 minute = 60 seconds. How many meters is that per minute?
Milo's conveyor belt moves boxes 3 feet each second. Remember: 1 minute = 60 seconds. How many feet is that per minute?
A circle drips 2 milliliters each second into Noah's cup. Remember: 1 minute = 60 seconds. How many milliliters is that per minute?
Ren lets out kite string at 4 feet each second. Remember: 1 foot = 12 inches. How many inches is that each second?
Tala's toy turtle crawls 25 centimeters each second. Remember: 1 meter = 100 centimeters. How many meters is that each second?
Zee's sprinkler uses 1,500 milliliters each minute. Remember: 1 liter = 1,000 milliliters. How many liters is that each minute?
15 miles | 79,200 feet. Ratio table, row 2: 1 hour | 3,600 seconds. Ari's bike goes 15 miles per hour. The figure changes both units. How many feet per second is that?
30 miles | 158,400 feet. Ratio table, row 2: 1 hour | 3,600 seconds. Bo's scooter rolls at 30 miles per hour on a very flat road. The figure changes both units. How many feet per second is that?
108 kilometers | 108,000 meters. Ratio table, row 2: 1 hour | 3,600 seconds. Esme's train ride goes 108 kilometers per hour. The figure changes both units. How many meters per second is that?
126 kilometers | 126,000 meters. Ratio table, row 2: 1 hour | 3,600 seconds. A fast train carries Jun at 126 kilometers per hour. The figure changes both units. How many meters per second 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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