Unit rate worksheet - Free Printable
Educational worksheet: Unit rate worksheet. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Unit rate worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Unit rate worksheet
Let's solve each of these unit rate problems step by step. A unit rate is a rate with a denominator of 1 (e.g., dollars per day, miles per hour). We'll divide the total quantity by the number of units to find the unit rate, and round to the nearest hundredth if necessary.
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$$
\frac{240}{4} = 60 \quad \Rightarrow \boxed{\$60.00 \text{ per day}}
$$
---
$$
\frac{250}{5} = 50 \quad \Rightarrow \boxed{50 \text{ people per bus}}
$$
---
$$
\frac{500}{10} = 50 \quad \Rightarrow \boxed{50 \text{ miles per hour}}
$$
---
$$
\frac{18}{24} = 0.75 \quad \Rightarrow \boxed{\$0.75 \text{ per pound}}
$$
---
$$
\frac{32}{8} = 4 \quad \Rightarrow \boxed{4 \text{ people per car}}
$$
---
Note: 3 dozen = 3 × 12 = 36 items
But since it's asking for a unit rate, we can interpret as cost per dozen:
$$
\frac{4.50}{3} = 1.50 \quad \Rightarrow \boxed{\$1.50 \text{ per dozen}}
$$
(Alternatively, per item: $4.50 / 36 = \$0.125 → \$0.13 per item — but "per dozen" is more natural here.)
We’ll go with per dozen: $\boxed{\$1.50 \text{ per dozen}}$
---
$$
\frac{245}{5} = 49 \quad \Rightarrow \boxed{49 \text{ tickets per day}}
$$
---
$$
\frac{12}{4} = 3 \quad \Rightarrow \boxed{3 \text{ classes per semester}}
$$
---
$$
\frac{60}{4} = 15 \quad \Rightarrow \boxed{15 \text{ people per row}}
$$
---
First, convert pounds to ounces: 1 pound = 16 ounces → 3 pounds = 48 ounces
So, 48 ounces = 3 pounds → This is already consistent.
But unit rate: ounces per pound?
$$
\frac{48}{3} = 16 \quad \Rightarrow \boxed{16 \text{ ounces per pound}}
$$
(Which matches standard conversion.)
---
$$
\frac{20}{4} = 5 \quad \Rightarrow \boxed{5 \text{ people per group}}
$$
---
We want price per pound:
$$
\frac{3.00}{1.5} = 2.00 \quad \Rightarrow \boxed{\$2.00 \text{ per pound}}
$$
---
Convert to miles per minute or miles per hour.
60 minutes = 1 hour → So:
$$
\frac{45}{1} = 45 \quad \Rightarrow \boxed{45 \text{ miles per hour}}
$$
---
$$
\frac{5.50}{10} = 0.55 \quad \Rightarrow \boxed{\$0.55 \text{ per disk}}
$$
---
This is miles per gallon:
$$
\frac{360}{12} = 30 \quad \Rightarrow \boxed{30 \text{ miles per gallon}}
$$
---
$$
\frac{8.50}{5} = 1.70 \quad \Rightarrow \boxed{\$1.70 \text{ per yard}}
$$
---
| Problem | Unit Rate |
|--------|-----------|
| 1 | $60.00 per day |
| 2 | 50 people per bus |
| 3 | 50 miles per hour |
| 4 | $0.75 per pound |
| 5 | 4 people per car |
| 6 | $1.50 per dozen |
| 7 | 49 tickets per day |
| 8 | 3 classes per semester |
| 9 | 15 people per row |
| 10 | 16 ounces per pound |
| 11 | 5 people per group |
| 12 | $2.00 per pound |
| 13 | 45 miles per hour |
| 14 | $0.55 per disk |
| 15 | 30 miles per gallon |
| 16 | $1.70 per yard |
All answers are rounded to the nearest hundredth where needed (most were exact).
Let me know if you'd like these formatted differently!
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1. $240 for 4 days
$$
\frac{240}{4} = 60 \quad \Rightarrow \boxed{\$60.00 \text{ per day}}
$$
---
2. 250 people in 5 buses
$$
\frac{250}{5} = 50 \quad \Rightarrow \boxed{50 \text{ people per bus}}
$$
---
3. 500 miles in 10 hours
$$
\frac{500}{10} = 50 \quad \Rightarrow \boxed{50 \text{ miles per hour}}
$$
---
4. $18 for 24 pounds
$$
\frac{18}{24} = 0.75 \quad \Rightarrow \boxed{\$0.75 \text{ per pound}}
$$
---
5. 32 people in 8 cars
$$
\frac{32}{8} = 4 \quad \Rightarrow \boxed{4 \text{ people per car}}
$$
---
6. $4.50 for 3 dozen
Note: 3 dozen = 3 × 12 = 36 items
But since it's asking for a unit rate, we can interpret as cost per dozen:
$$
\frac{4.50}{3} = 1.50 \quad \Rightarrow \boxed{\$1.50 \text{ per dozen}}
$$
(Alternatively, per item: $4.50 / 36 = \$0.125 → \$0.13 per item — but "per dozen" is more natural here.)
We’ll go with per dozen: $\boxed{\$1.50 \text{ per dozen}}$
---
7. 245 tickets in 5 days
$$
\frac{245}{5} = 49 \quad \Rightarrow \boxed{49 \text{ tickets per day}}
$$
---
8. 12 classes in 4 semesters
$$
\frac{12}{4} = 3 \quad \Rightarrow \boxed{3 \text{ classes per semester}}
$$
---
9. 60 people in 4 rows
$$
\frac{60}{4} = 15 \quad \Rightarrow \boxed{15 \text{ people per row}}
$$
---
10. 48 ounces in 3 pounds
First, convert pounds to ounces: 1 pound = 16 ounces → 3 pounds = 48 ounces
So, 48 ounces = 3 pounds → This is already consistent.
But unit rate: ounces per pound?
$$
\frac{48}{3} = 16 \quad \Rightarrow \boxed{16 \text{ ounces per pound}}
$$
(Which matches standard conversion.)
---
11. 20 people in 4 groups
$$
\frac{20}{4} = 5 \quad \Rightarrow \boxed{5 \text{ people per group}}
$$
---
12. 1.5 pounds for $3.00
We want price per pound:
$$
\frac{3.00}{1.5} = 2.00 \quad \Rightarrow \boxed{\$2.00 \text{ per pound}}
$$
---
13. 45 miles in 60 minutes
Convert to miles per minute or miles per hour.
60 minutes = 1 hour → So:
$$
\frac{45}{1} = 45 \quad \Rightarrow \boxed{45 \text{ miles per hour}}
$$
---
14. $5.50 for 10 disks
$$
\frac{5.50}{10} = 0.55 \quad \Rightarrow \boxed{\$0.55 \text{ per disk}}
$$
---
15. 360 miles on 12 gallons
This is miles per gallon:
$$
\frac{360}{12} = 30 \quad \Rightarrow \boxed{30 \text{ miles per gallon}}
$$
---
16. $8.50 for 5 yards
$$
\frac{8.50}{5} = 1.70 \quad \Rightarrow \boxed{\$1.70 \text{ per yard}}
$$
---
✔ Final Answers:
| Problem | Unit Rate |
|--------|-----------|
| 1 | $60.00 per day |
| 2 | 50 people per bus |
| 3 | 50 miles per hour |
| 4 | $0.75 per pound |
| 5 | 4 people per car |
| 6 | $1.50 per dozen |
| 7 | 49 tickets per day |
| 8 | 3 classes per semester |
| 9 | 15 people per row |
| 10 | 16 ounces per pound |
| 11 | 5 people per group |
| 12 | $2.00 per pound |
| 13 | 45 miles per hour |
| 14 | $0.55 per disk |
| 15 | 30 miles per gallon |
| 16 | $1.70 per yard |
All answers are rounded to the nearest hundredth where needed (most were exact).
Let me know if you'd like these formatted differently!
Parent Tip: Review the logic above to help your child master the concept of unit rate worksheet pdf.