Grade 6 · Math

6th grade Unit rates: how much for one worksheet

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Unit rates: how much for one

Grade 6 Math Worksheet - Challenge Me

NameDate

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

Noah's packing machine packs 180 boxes in 12 hours at a steady rate. How many boxes does it pack per hour?
Pia's delivery truck travels 192 miles in 4 hours at a steady speed. How many miles does it travel in 1 hour?
Ren's fountain pump moves 162 liters in 9 minutes. How many liters does it move in 1 minute?
Tala catches drips in a bucket. The circle leaks 8 cups of water in 20 hours. How much water leaks per hour, in cups?
Bo's sunflower seedling grows 4 inches in 20 days. How much does it grow in 1 day, in inches?
Esme watches snow fall 2 inches in 20 hours at a steady rate. How much snow falls per hour, in inches?
Luz sets a jar under a slow drip. The drip fills 8 cups in 25 minutes. How much of a cup drips per minute? How many minutes does 1 cup take?
8.
Milo's garden pump fills watering cans with 25 gallons in 2 minutes. Which sentence gives the unit rate per minute?
- 12.5 minutes per gallon
- 12.5 gallons per minute
- 0.08 minutes per gallon
- 25 gallons per minute
9.
Pia rides a bus that travels 150 miles in 3 hours at a steady speed. Which sentence gives the unit rate per hour?
- 0.02 hours per mile
- 50 miles per hour
- 150 miles per hour
- 50 hours per mile
10.
Ren rides a train that travels 160 miles in 2 hours at a steady speed. Which sentence gives the unit rate for 1 hour?
- 80 miles for each hour
- 160 miles for each hour
- 80 hours for each mile
- 0.0125 hours for each mile

Unit rates. Every version has 10 questions, and the answer key prints on the second page.

I can find the amount for 1 by making the row with a 1 in a ratio table.
I can say a unit rate with "for each" or "per", with the right unit in the right place.
I can tell "dollars for 1 pen" from "pens for 1 dollar", and find both rates from one row.

Standard: 6.RP.A.2

rate: A ratio between two different kinds of things, like dollars and pens.

unit rate: The rate for exactly 1 of something, like dollars for 1 pen.

per / for each: Words that point to the thing that is 1. "3 dollars per pen."

the row with 1: The table row where the first number is 1. Its second number is the unit rate.

steady: The same amount each time, so the rate never changes.

Your child found the rate the wrong way round, for example items for 1 dollar instead of dollars for 1 item.

Your child had the right number but put the units the wrong way round (for example “5 tickets per dollar”).

Your child multiplied the two numbers. Try a real price: if 4 pens cost $12, ask whether 1 pen should cost more or less than $12.

Ask: which one are we finding for exactly 1?

Ask: the 5 counts what, for exactly 1 of what?

What is the most common mistake with unit rates: how much for one?

Your child found the rate the wrong way round, for example items for 1 dollar instead of dollars for 1 item.

How can I help my child with unit rates: how much for one?

Ask: which one are we finding for exactly 1?

Are these 6th 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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records