Understanding Unit Rate

Sep 30, 2026

Understanding Unit Rate practice problems focused on solving word scenarios that relate quantities and time or distance. Each item presents a rate expressed as a fraction and asks for the total amount needed to complete a task, such as filling containers, covering an area, or determining travel time. The worksheet includes a corresponding answer key and spans multiple real-life contexts to reinforce proportional reasoning and unit rate conversion skills.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Solve each problem

Paint sprayer fill-up

Walking distance and time

Grass seed coverage

Pool filling time

Fishbowl container fill

Cookie baking time

Perfume jug filling

Phone battery usage

Brownie feeding students

Snail travel time

Understanding Unit Rate Name: | Solve each problem. | | | | 1. | | Answers | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1) | A small can of paint was 1⁄ 2 of a liter. That was enough to fill 1⁄ 3 of a paintsprayer. How many cans of paint would it take to completely fill the sprayer? | | | | | | | | | | | | | | | | | | | | | | | | | | | 2) | While exercising Jerry walked 1⁄ 2 of a mile in 1⁄ 3 of an hour. At this rate, how far will he have travelled after an hour? | | | 2.
3. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3) | A bag of grass seeds weighed 1⁄ 2 of a kilogram. That was enough to cover 1⁄ 3 of a front lawn with seed. How many bags would it take to completely cover a lawn? | | | 4.
5.
6. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 4) | A water hose had filled up 1⁄ 3 of a pool after 1⁄ 2 of an hour. At this rate, how many hours would it take to fill the pool? | | | 7. | | | | | | | | | | | | | | | | | | | | | | | | 5) | Emily was using a container to fill up a fishbowl. The container held 1⁄ 2 of a gallon of water and filled 1⁄ 3 of the fishbowl. At this rate, how many containers will it take to fill the fishbowl? | | | 8.
9.
10. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6) | It takes a baker 1⁄ 2 of an hour to make enough cookies to fill 1⁄ 3 of large box. How long would it take him to fill the whole box? | | | | | | | | | | | | | 7) | A discount bottle of perfume was 1⁄ 2 of a liter. That was enough to fill 1⁄ 3 of a jug. How many bottles of perfume would you need to fill the entire jug? | | | | | | | | | | | | | 8) | Haley spent 1⁄ 2 of an hour playing on her phone. That used up 1⁄ 3 of her battery. How long would she have to play on her phone to use the entire battery? | | | | | | | | | | | | | 9) | A bag of chocolate mix that weighed 1⁄ 2 of a kilogram could make enough brownies to feed 1⁄ 3 of the students at school. How many bags would be needed to feed all of the students? | | | | | | | | | | | | | 10) | A snail going full speed was taking 1⁄ 2 of a minute to move 1⁄ 3 of a centimeter. At this rate, how long would it take the snail to travel a centimeter? | | | | | | | | | | | | | 1-10 | | 90 | 80 | 70 | 60 | | 50 | 40 | 30 | 20 | 10 | 0 | [Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10) Understanding Unit Rate Name: Answer Key | Solve each problem.
1) A small can of paint was 1⁄ 2 of a liter. That was enough to fill 1⁄ 3 of a paintsprayer. How many cans of paint would it take to completely fill the sprayer? | | | | Answers
1. 3 cans
2. 1 1⁄ 2 miles | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | While exercising Jerry walked 1⁄ 2 of a mile in 1⁄ 3 of an hour. At this rate, how far will he have travelled after an hour? | | | 3. 3 bags
4. 1 1⁄ 2 hours | | | | | | | | | | 3) | A bag of grass seeds weighed 1⁄ 2 of a kilogram. That was enough to cover 1⁄ 3 of a front lawn with seed. How many bags would it take to completely cover a lawn? | | | 5. 3 containers
6. 1 1⁄ 2 hours | | | | | | | | | | 4) | A water hose had filled up 1⁄ 3 of a pool after 1⁄ 2 of an hour. At this rate, how many hours would it take to fill the pool? | | | 7. 3 bottles | | | | | | | | | | 5) | Emily was using a container to fill up a fishbowl. The container held 1⁄ 2 of a gallon of water and filled 1⁄ 3 of the fishbowl. At this rate, how many containers will it take to fill the fishbowl? | | | 8. 1 1⁄ 2 hours
9. 3 bags
10. 1 1⁄

FAQs

What is the main skill tested in these problems?

The worksheet tests unit rate and proportional reasoning by converting fractional rates into complete amounts or total time/distance.

How do I solve a problem that gives a fraction of a whole?

Use the given fraction rate to determine the equivalent full amount, then scale up to reach the complete total asked in the question.

Where can the answers be found?

An included Answer Key lists the results for the problems 1 through 10.

Sep 30, 2026

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