← Back to the Unit Rates worksheet
Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Each problem has a full worked solution, with the final answer in bold and a check where useful. Compare the division you set up with the one shown, since the order of the numbers decides the unit.
Standards: 6.RP.A.2, 6.RP.A.3b · Level: Grade 6
Problem 1 Writing Rates
The first quantity is “per” the second quantity.
Answer: (a) 135 miles per 3 hours; (b) $14 per 4 pounds.
Problem 2 Finding Unit Rates
(a) 96 ÷ 6 = 16 miles in 1 hour.
(b) 63 ÷ 7 = 9 words in 1 minute.
Answer: (a) 16 miles per hour; (b) 9 words per minute.
Problem 3 Unit Price of Notebooks
10.50 ÷ 6 = 1.75.
Check: 6 × 1.75 = 10.50.
Answer: $1.75 per notebook.
Problem 4 Reading a Double Number Line
(a) 36 ÷ 4 = 9 feet each second, so the blanks are 9, 18 and 27.
(b) 9 × 7 = 63 feet.
Answer: (a) 9 feet per second; (b) 63 feet.
Problem 5 Rate Table
(a) 9 ÷ 2 = 4.5. Check: 22.5 ÷ 5 = 4.5 and 36 ÷ 8 = 4.5.
(b) 4.5 × 12 = 54.
Answer: (a) 4.5 cups per loaf; (b) 54 cups.
Problem 6 Two Unit Rates
(a) 45 ÷ 18 = 2.5 gallons per minute.
(b) 18 ÷ 45 = 0.4 minute per gallon.
Check: 2.5 × 0.4 = 1.
Answer: (a) 2.5 gallons per minute; (b) 0.4 minute per gallon.
Problem 7 Comparing Cereal
A: 4.20 ÷ 14 = $0.30 per ounce. B: 5.04 ÷ 18 = $0.28 per ounce.
Answer: Cereal B costs less per ounce.
Problem 8 Jogging Speed
12 ÷ 1.5 = 8.
Check: 8 × 1.5 = 12.
Answer: 8 miles per hour.
Problem 9 Distance at Constant Speed
distance = speed × time = 48 × 3.5 = 168.
Answer: 168 miles.
Problem 10 Copier Time
360 ÷ 24 = 15.
Check: 24 × 15 = 360.
Answer: 15 minutes.
Problem 11 Three Juice Sizes
64 oz: 3.20 ÷ 64 = 0.05. 96 oz: 4.56 ÷ 96 = 0.0475. 128 oz: 6.72 ÷ 128 = 0.0525.
Answer: the 96-ounce bottle, at $0.0475 per ounce.
Problem 12 Hourly Pay
(a) 87.50 ÷ 7 = 12.50.
(b) 12.50 × 30 = 375.
Answer: (a) $12.50 per hour; (b) $375.
Problem 13 Is the Rate Constant?
Table A: 30 ÷ 2 = 15, 60 ÷ 4 = 15, 80 ÷ 5 = 16. The rate changes.
Table B: 110 ÷ 2 = 55, 165 ÷ 3 = 55, 330 ÷ 6 = 55. The rate is the same.
Answer: Table B, at 55 miles per hour.
Problem 14 Comparing Hikers
Ava: 15 ÷ 4 = 3.75 miles per hour. Ben: 22 ÷ 6 = 3.666… miles per hour.
Answer: Ava is faster.
Problem 15 Fuel Economy
(a) A: 330 ÷ 11 = 30. B: 266 ÷ 7 = 38. B is better by 38 − 30 = 8 miles per gallon.
(b) 570 ÷ 38 = 15.
Answer: (a) Car B, by 8 miles per gallon; (b) 15 gallons.
Problem 16 Pencil Packs
24-pack: 7.20 ÷ 24 = $0.30 each. 36-pack: 9.90 ÷ 36 = $0.275 each, so the 36-pack is the better buy.
144 ÷ 36 = 4 packs, costing 4 × 9.90 = $39.60. 144 ÷ 24 = 6 packs, costing 6 × 7.20 = $43.20.
43.20 − 39.60 = 3.60.
Answer: $3.60.
Problem 17 Draining Pools
A: 475 ÷ 12.5 = 38 minutes. B: 399 ÷ 10.5 = 38 minutes.
Check: 12.5 × 38 = 475 and 10.5 × 38 = 399.
Answer: both take 38 minutes, so neither finishes first.
Problem 18 Road Trip Legs
First leg: 62 × 4 = 248 miles. Second leg: 56 × 2.5 = 140 miles.
(a) 248 + 140 = 388.
(b) 248 − 140 = 108.
Answer: (a) 388 miles; (b) 108 miles.
Problem 19 Food Truck Rush
45 ÷ 30 = 1.5 tacos per minute. 3.5 hours = 210 minutes.
1.5 × 210 = 315 tacos. 315 × 3.25 = 1,023.75.
Answer: $1,023.75.
Problem 20 Comparing Jobs
A: 13.40 × 28 = 375.20. B: 11.50 × 33 = 379.50.
379.50 − 375.20 = 4.30.
Answer: Job B pays $4.30 more per week.