Unit Rate Problems 6th Grade - Free Printable

Let’s solve each problem step by step. The key idea is that the rate is constant, so we can find the unit rate (e.g., plants per yard, bricks per minute, etc.) using any complete pair of values, then use that unit rate to fill in the missing numbers.

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1) Hedging plants vs. Distance (yards)

| Hedging plants | 18 | ? | 54 |
|----------------|----|----|----|
| Distance (yards)| 6 | 8 | ? |

Unit rate = plants / yard

From first column:
→ 18 plants / 6 yards = 3.00 plants per yard

Now fill in:

- 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 vs. Minute

| Bricks | 18 | ? | 99 |
|--------|----|----|----|
| Minute | 4 | 10 | ? |

Unit rate = bricks / minute

From first column:
→ 18 bricks / 4 minutes = 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) vs. Hours

| Distance (miles) | 38 | 57 | ? |
|------------------|----|----|----|
| Hours | 4 | ? | 7 |

Unit rate = miles / hour

From first column:
→ 38 miles / 4 hours = 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 vs. Boxes of detergent

| Washes | 275 | 440 | ? |
|--------|-----|-----|-----|
| Boxes | 5 | ? | 14 |

Unit rate = washes / box

From first column:
→ 275 washes / 5 boxes = 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 vs. Coverage (sq. ft.)

| Pots | 5 | 9 | ? |
|------|----|----|-----|
| Sq. ft. | 3000 | ? | 12000 |

Unit rate = sq. ft. / pot

From first column:
→ 3000 sq. ft. / 5 pots = 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 vs. Hour

| Pages | 114 | ? | 418 |
|-------|-----|-----|-----|
| Hour | 3 | 7 | ? |

Unit rate = pages / hour

From first column:
→ 114 pages / 3 hours = 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 vs. Miles

| Gallons | 7 | 4 | ? |
|---------|----|----|-----|
| Miles | ? | 168| 504 |

Unit rate = miles / gallon

From second column:
→ 168 miles / 4 gallons = 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 vs. Cost

| Pizzas | 8 | 5 | ? |
|--------|----|----|-----|
| Cost | $54| ? | $135|

Unit rate = cost / pizza

From first column:
→ $54 / 8 pizzas = $6.75 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) vs. Pressure (bar)

| Depth (ft) | 136 | ? | 782 |
|------------|-----|-----|-----|
| Pressure (bar)| 4 | 7 | ? |

Unit rate = feet / bar

From first column:
→ 136 ft / 4 bar = 34.00 feet per bar

Fill in:

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

✔ Unit rate is 34.00 foot per bar

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## ✔ Final Answers Summary:

1) Unit rate: 3.00 plants per yard → Missing: 24 plants, 18 yards
2) Unit rate: 4.50 bricks/minute → Missing: 45 bricks, 22 minutes
3) Unit rate: 9.50 miles/hour → Missing: 6 hours, 66.50 miles
4) Unit rate: 55.00 washes/box → Missing: 8 boxes, 770 washes
5) Unit rate: 600.00 sq. ft./pot → Missing: 5400 sq. ft., 20 pots
6) Unit rate: 38.00 pages/hour → Missing: 266 pages, 11 hours
7) Unit rate: 42.00 miles/gallon → Missing: 294 miles, 12 gallons
8) Unit rate: 6.75 $/pizza → Missing: $33.75, 20 pizzas
9) Unit rate: 34.00 ft/bar → Missing: 238 ft, 23 bar

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

Let me know if you’d like this formatted into a table or printable answer sheet!