Understanding Unit Rate - Answer Key - Solve Each Problem 1-10

Sep 30, 2026

A worksheet focused on unit rate reasoning through real-world capacity and time scenarios. Each problem gives a partial quantity that fills a fraction of a target—grass seeds covering part of a lawn, juice filling a jug, lemons filling a cup, pencils filling a box, and more. An answer key provides the correct solutions for problems 1 through 10, including bags, baskets, seconds, containers, hours, and cans.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Solve each problem

Problems 1-10 (answer key)

Understanding Unit Rate Name: | Solve each problem.
1) 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? | | 1.
2. | Answers | | --- | --- | --- | --- | | | | | | | 2) | A dejuicer was able to squeeze a pint of juice from 1⁄ 2 bag of oranges. This amount of juice filled up 1⁄ 3 of a jug. At this rate, how many bags will it take to fill the entire jug? | 3.
4. | | | | | | | | | | | | | 3) | A basket of lemons weighed 1⁄ 2 of a pound and could make a cup of lemonaide that was 1⁄ 3 full. How many baskets of lemons would you need to fill up the entire cup? | 5.
6. | | | | | | | | 4) | A pencil making machine took 1⁄ 2 of a second to make enough pencils to fill 1⁄ 3 of a box. At this rate, how long would it take the machine to fill the entire box? | 7.
8. | | | | | | | | 5) | 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? | 9.
10. | | | | | | | | 6) | A chef used 1⁄ 2 of a bag of potatoes to make 1⁄ 3 of a gallon of stew. If he wanted to make a full gallon of stew how many bags of potatoes would he need? | | | | 7) | Katie 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) | 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? | | | | 9) | 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? | | | | 10) | A restaurant took 1⁄ 2 of an hour to use 1⁄ 3 of a package of napkins. At this rate, how many hours would it take to use the entire package? | | | [Math](Math www.CommonCoreSheets.com 6 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6 1-10)[ 6](Math www.CommonCoreSheets.com 6 1-10)[ 1-10](Math www.CommonCoreSheets.com 6 1-10) 90 80 70 60 50 40 30 20 10 0 | | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | Understanding Unit Rate Name: Answer Key | Solve each problem.
1) 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? | | | | Answers
1. 3 bags
2. 1 1⁄ 2 bags | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | A dejuicer was able to squeeze a pint of juice from 1⁄ 2 bag of oranges. This amount of juice filled up 1⁄ 3 of a jug. At this rate, how many bags will it take to fill the entire jug? | | | 3. 3 baskets
4. 1 1⁄ 2 seconds | | | | | | | | | | | 3) | A basket of lemons weighed 1⁄ 2 of a pound and could make a cup of lemonaide that was 1⁄ 3 full. How many baskets of lemons would you need to fill up the entire cup? | | | 5.
6. | | | 3 bags | | | | | | | | | | | | | | | 1 1⁄ 2 bags | | | | | | | | 4) | A pencil making machine took 1⁄ 2 of a second to make enough pencils to fill 1⁄ 3 of a box. At this rate, how long would it take the machine to fill the entire box? | | | 7.
8. | | | 3 containers | | | | | | | | | | | | | | | 1 1⁄ 2 hours | | | | | | | | 5) | 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? | | | 9.
10. | | | 3 cans | | | | | | | | | | | | | | | 1 1⁄ 2 hours | | | | | | | | 6) | A chef used 1⁄ 2 of a bag of potatoes to make 1⁄ 3 of a gallon of stew. If he wanted to make a full gallon of stew how many

FAQs

What topic do these problems practice?

They practice unit rate by using the given amounts per fraction of a target to scale up to the full amount or total time.

What kinds of scenarios are included in problems 1-10?

The worksheet uses everyday contexts such as covering a lawn with seeds, filling containers with juice or water, and producing items like pencils or brownies over time.

Where can the correct responses be found?

The document includes an “Answer Key” section listing the solutions for problems 1 through 10.

Sep 30, 2026

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