Unit Rate Worksheets - Free Printable

The task involves finding the unit rate for each problem. A unit rate is a ratio that compares a quantity to one unit of another quantity. It is typically expressed as "per 1" or "per unit." To find the unit rate, you divide the total quantity by the number of units.

Let's solve each problem step by step:

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Problem 1: 34 flowers in 3 bouquets

- Total flowers: 34
- Number of bouquets: 3
- Unit rate (flowers per bouquet):
\[
\frac{34 \text{ flowers}}{3 \text{ bouquets}} = \frac{34}{3} \approx 11.33 \text{ flowers per bouquet}
\]

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Problem 2: 25 rulers in 5 groups

- Total rulers: 25
- Number of groups: 5
- Unit rate (rulers per group):
\[
\frac{25 \text{ rulers}}{5 \text{ groups}} = \frac{25}{5} = 5 \text{ rulers per group}
\]

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Problem 3: 10 points in 2 games

- Total points: 10
- Number of games: 2
- Unit rate (points per game):
\[
\frac{10 \text{ points}}{2 \text{ games}} = \frac{10}{2} = 5 \text{ points per game}
\]

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Problem 4: 18 hours in 3 days

- Total hours: 18
- Number of days: 3
- Unit rate (hours per day):
\[
\frac{18 \text{ hours}}{3 \text{ days}} = \frac{18}{3} = 6 \text{ hours per day}
\]

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Problem 5: 26 pieces of candy in 3 bags

- Total pieces of candy: 26
- Number of bags: 3
- Unit rate (pieces per bag):
\[
\frac{26 \text{ pieces}}{3 \text{ bags}} = \frac{26}{3} \approx 8.67 \text{ pieces per bag}
\]

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Problem 6: 79 pages in 5 chapters

- Total pages: 79
- Number of chapters: 5
- Unit rate (pages per chapter):
\[
\frac{79 \text{ pages}}{5 \text{ chapters}} = \frac{79}{5} = 15.8 \text{ pages per chapter}
\]

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Problem 7: 3 words in 15 minutes

- Total words: 3
- Total minutes: 15
- Unit rate (minutes per word):
\[
\frac{15 \text{ minutes}}{3 \text{ words}} = \frac{15}{3} = 5 \text{ minutes per word}
\]

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Problem 8: 48 cookies in 4 batches

- Total cookies: 48
- Number of batches: 4
- Unit rate (cookies per batch):
\[
\frac{48 \text{ cookies}}{4 \text{ batches}} = \frac{48}{4} = 12 \text{ cookies per batch}
\]

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Problem 9: 21 homeworks in 3 hours

- Total homeworks: 21
- Total hours: 3
- Unit rate (homeworks per hour):
\[
\frac{21 \text{ homeworks}}{3 \text{ hours}} = \frac{21}{3} = 7 \text{ homeworks per hour}
\]

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Problem 10: 100 meters in 4 laps

- Total meters: 100
- Number of laps: 4
- Unit rate (meters per lap):
\[
\frac{100 \text{ meters}}{4 \text{ laps}} = \frac{100}{4} = 25 \text{ meters per lap}
\]

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Problem 11: 132 items in 12 boxes

- Total items: 132
- Number of boxes: 12
- Unit rate (items per box):
\[
\frac{132 \text{ items}}{12 \text{ boxes}} = \frac{132}{12} = 11 \text{ items per box}
\]

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Problem 12: 21 friendships in 7 people

- Total friendships: 21
- Number of people: 7
- Unit rate (friendships per person):
\[
\frac{21 \text{ friendships}}{7 \text{ people}} = \frac{21}{7} = 3 \text{ friendships per person}
\]

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Problem 13: 13 people in 4 tables

- Total people: 13
- Number of tables: 4
- Unit rate (people per table):
\[
\frac{13 \text{ people}}{4 \text{ tables}} = \frac{13}{4} = 3.25 \text{ people per table}
\]

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Final Answers:

1. \( \boxed{11.33 \text{ flowers per bouquet}} \)
2. \( \boxed{5 \text{ rulers per group}} \)
3. \( \boxed{5 \text{ points per game}} \)
4. \( \boxed{6 \text{ hours per day}} \)
5. \( \boxed{8.67 \text{ pieces per bag}} \)
6. \( \boxed{15.8 \text{ pages per chapter}} \)
7. \( \boxed{5 \text{ minutes per word}} \)
8. \( \boxed{12 \text{ cookies per batch}} \)
9. \( \boxed{7 \text{ homeworks per hour}} \)
10. \( \boxed{25 \text{ meters per lap}} \)
11. \( \boxed{11 \text{ items per box}} \)
12. \( \boxed{3 \text{ friendships per person}} \)
13. \( \boxed{3.25 \text{ people per table}} \)

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Explanation:

To find the unit rate, divide the total quantity by the number of units. This gives you the amount per unit, which is the unit rate. Each calculation follows this principle, ensuring consistency and accuracy in solving all problems.