Unit Rate Problems 6th Grade - Free Printable

Let's solve each problem one by one. The key is to find the unit rate (e.g., plants per yard, bricks per minute, etc.) using the given values, and then use that constant rate to fill in the missing numbers.

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1) Hedging plants / Distance (yards)

Given:
- 18 plants → 6 yards
- ? plants → 8 yards
- 54 plants → ? yards

Unit rate = plants per yard

→ Unit rate = 18 ÷ 6 = 3.00 plants per yard

Now fill in the blanks:

- For 8 yards: 8 × 3 = 24 plants
- For 54 plants: 54 ÷ 3 = 18 yards

✔ Unit rate is 3.00 plants per yard.

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2) Bricks / Minute

Given:
- 18 bricks → 4 minutes
- ? bricks → 10 minutes
- 99 bricks → ? minutes

Unit rate = bricks per minute

→ 18 ÷ 4 = 4.50 bricks/minute

Fill in:

- For 10 minutes: 10 × 4.5 = 45 bricks
- For 99 bricks: 99 ÷ 4.5 = 22 minutes

✔ Unit rate is 4.50 bricks/minute.

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3) Distance cycled (miles) / Hours

Given:
- 38 miles → 4 hours
- 57 miles → ? hours
- ? miles → 7 hours

Unit rate = miles per hour

→ 38 ÷ 4 = 9.50 miles/hour

Fill in:

- For 57 miles: 57 ÷ 9.5 = 6 hours
- For 7 hours: 7 × 9.5 = 66.50 miles

✔ Unit rate is 9.50 miles per hour.

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4) Number of Washes / Boxes of detergent

Given:
- 275 washes → 5 boxes
- 440 washes → ? boxes
- ? washes → 14 boxes

Unit rate = washes per box

→ 275 ÷ 5 = 55.00 washes per box

Fill in:

- For 440 washes: 440 ÷ 55 = 8 boxes
- For 14 boxes: 14 × 55 = 770 washes

✔ Unit rate is 55.00 washes per box.

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5) Pots of Paint / Coverage (sq. ft)

Given:
- 5 pots → 3000 sq. ft
- 9 pots → ? sq. ft
- ? pots → 12000 sq. ft

Unit rate = sq. ft per pot

→ 3000 ÷ 5 = 600.00 sq. ft per pot

Fill in:

- For 9 pots: 9 × 600 = 5400 sq. ft
- For 12000 sq. ft: 12000 ÷ 600 = 20 pots

✔ Unit rate is 600.00 sq. ft per pot.

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6) Pages read / Hour

Given:
- 114 pages → 3 hours
- ? pages → 7 hours
- 418 pages → ? hours

Unit rate = pages per hour

→ 114 ÷ 3 = 38.00 pages/hour

Fill in:

- For 7 hours: 7 × 38 = 266 pages
- For 418 pages: 418 ÷ 38 = 11 hours

✔ Unit rate is 38.00 pages/hour.

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7) Gallons of fuel / Miles

Given:
- 7 gallons → ? miles
- 4 gallons → 168 miles
- ? gallons → 504 miles

Unit rate = miles per gallon

→ Use 4 gallons → 168 miles: 168 ÷ 4 = 42.00 miles/gallon

Fill in:

- For 7 gallons: 7 × 42 = 294 miles
- For 504 miles: 504 ÷ 42 = 12 gallons

✔ Unit rate is 42.00 miles/gallon.

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8) Pizzas / Cost

Given:
- 8 pizzas → $54
- 5 pizzas → ? cost
- ? pizzas → $135

Unit rate = dollars per pizza

→ 54 ÷ 8 = 6.75 dollars per pizza

Fill in:

- For 5 pizzas: 5 × 6.75 = $33.75
- For $135: 135 ÷ 6.75 = 20 pizzas

✔ Unit rate is $6.75 per pizza.

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9) Depth (foot) / Pressure (bar)

Given:
- 136 feet → 4 bar
- ? feet → 7 bar
- 782 feet → ? bar

Unit rate = feet per bar

→ 136 ÷ 4 = 34.00 feet per bar

Fill in:

- For 7 bar: 7 × 34 = 238 feet
- For 782 feet: 782 ÷ 34 = 23 bar

✔ Unit rate is 34.00 foot per bar.

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## ✔ Final Answers Summary:

| Problem | Missing Values | Unit Rate |
|---------|------------------------------------|------------------------|
| 1 | 24, 18 | 3.00 plants per yard |
| 2 | 45, 22 | 4.50 bricks/minute |
| 3 | 6, 66.50 | 9.50 miles per hour |
| 4 | 8, 770 | 55.00 washes per box |
| 5 | 5400, 20 | 600.00 sq. ft per pot |
| 6 | 266, 11 | 38.00 pages/hour |
| 7 | 294, 12 | 42.00 miles/gallon |
| 8 | $33.75, 20 | $6.75 per pizza |
| 9 | 238, 23 | 34.00 foot per bar |

All answers are given to 2 decimal places where appropriate, as requested.

Let me know if you’d like this formatted as a worksheet answer key!