Rates per one · grades 6–7
Unit Rate Worksheet Generator
Build unit-rate practice from real measurement contexts: price per item, speed, and output per minute. Totals are constructed from a known per-one amount, including exact cent values for unit-price questions.
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Unit Rate Practice
Unit rate · Medium whole numbers · Seed 261401
7 items cost $99.75. Unit price = ____
200 miles in 4 hr = ____ mi/hr
77 pages in 7 min = ____ pages/min
55 pages in 5 min = ____ pages/min
308 miles in 7 hr = ____ mi/hr
126 pages in 6 min = ____ pages/min
4 items cost $66.00. Unit price = ____
54 pages in 2 min = ____ pages/min
2 items cost $24.00. Unit price = ____
70 pages in 5 min = ____ pages/min
2 items cost $9.50. Unit price = ____
56 miles in 2 hr = ____ mi/hr
252 miles in 7 hr = ____ mi/hr
200 pages in 8 min = ____ pages/min
3 items cost $47.25. Unit price = ____
150 miles in 5 hr = ____ mi/hr
126 pages in 9 min = ____ pages/min
18 pages in 2 min = ____ pages/min
Finding a unit rate
A unit rate compares a quantity with one unit of another quantity, such as dollars per pound or miles per hour. Divide the first quantity by the second, and keep the units attached to the answer so it is clear which amount is per one. Unit rates make two situations directly comparable, which is why they are used for unit prices and speeds.
Worked examples
- $7.50 for 3 pounds: 7.50 ÷ 3 = 2.50, so the unit rate is $2.50 per pound.
- 240 miles in 4 hours: 240 ÷ 4 = 60, so the speed is 60 miles per hour.
- 6 notebooks for $9: 9 ÷ 6 = 1.50 dollars per notebook. Dividing the other way, 6 ÷ 9 = 2/3, which is a different unit rate: 2/3 of a notebook per dollar.
- Better buy: 5 items for $4 costs 4 ÷ 5 = $0.80 each, and 8 items for $6 costs 6 ÷ 8 = $0.75 each. The 8-item package is cheaper per item.
Common slips
- Dividing in the wrong order. 3 ÷ 7.50 gives pounds per dollar, not dollars per pound.
- Leaving the units off. A bare 2.50 does not say whether it means dollars per pound or pounds per dollar.
- Comparing totals instead of unit rates. $6 for 8 items beats $4 for 5 items even though $6 is more money.
- Rounding before comparing. Keep the exact value until the comparison is finished.
How to use this worksheet
Have students estimate first (about how much should one cost?), then calculate and write the unit rate with its units. The answer key gives the exact value, so students can see whether the estimate and the division agree.
Common Core connection
- 6.RP.A.3.b · Solve unit-rate problems, including finding and comparing unit prices and speeds.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Keep the unit attached to the quotient. Dollars divided by items should end in dollars per item, not items per dollar.
Have students estimate first: if six items cost about eighteen dollars, the unit price should be near three dollars.
Use unit rate before comparison shopping or proportional graphs because 'per 1' makes two situations directly comparable.
Model it: $7.50 for 3 pounds is 7.50 divided by 3, which is $2.50 per pound. The 'per one' quantity is what the division produces.
Watch for students who divide the smaller number by the larger from habit (3 divided by 7.50). That gives pounds per dollar, the reciprocal of the requested rate.
Mix simplifying, tables, unit rates, proportions, and percent proportions in one generator.
Connect ratios to percents →Practice part / whole = percent / 100 after equivalent ratios are secure.
More skills in this set
Frequently asked questions
What unit-rate contexts are included?
Sheets mix price per item, miles per hour, and pages per minute.
Which standard does this practice?
CCSS 6.RP.A.2 introduces unit rate; 7.RP.A.1 extends it to rates expressed with fractions.
What is the difference between a ratio and a rate?
A rate compares two different units, such as miles and hours. A unit rate is that comparison expressed per one of the second unit, such as miles per one hour.
Are price answers exact to the cent?
Yes. Price problems are generated from an exact integer-cent unit price and multiplied by the item count.
Do speed problems require rounding?
No. Distance is built as an exact multiple of the time so the miles-per-hour answer is a whole number.
Can I save one exact sheet?
Yes. Copy exact worksheet link preserves the seed and settings.