Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

Create An Account

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #61 : Ratios & Proportional Relationships

A landscaper can mow $\frac{1}{8}$ of a yard in $\frac{1}{8}$ of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

Possible Answers:

$1\frac{1}{4}\textup{ yards}$

$1\frac{1}{8}\textup{ yards}$

$1\frac{3}{8}\textup{ yards}$

$1\frac{1}{2}\textup{ yards}$

$1\textup{ yard}$

Correct answer:

$1\textup{ yard}$

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, $\frac{1}{8}$ , divided by hours, $\frac{1}{8}$ :

$\frac{\ \frac{1}{8}\ \textup{of a yard}}{\ \frac{1}{8}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{8}\rightarrow \frac{8}{1}$

Therefore:

$\frac{1}{8}\times\frac{8}{1}=\frac{8}{8}=1$

The landscaper can mow yard per hour.

Report an Error

Example Question #61 : Ratios & Proportional Relationships

A janitor can clean $\frac{1}{11}$ of a stadium in $\frac{1}{3}$ of an hour. If he continues this rate, how much of the stadium can he clean per hour?

Possible Answers:

$\frac{4}{11}\textup{ of the stadium}$

$\frac{3}{11}\textup{ of the stadium}$

$\frac{1}{11}\textup{ of the stadium}$

$\frac{5}{11}\textup{ of the stadium}$

$\frac{2}{11}\textup{ of the stadium}$

Correct answer:

$\frac{3}{11}\textup{ of the stadium}$

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the stadium, $\frac{1}{11}$ , divided by hours, $\frac{1}{3}$ :

$\frac{\ \frac{1}{11}\ \textup{ of the stadium}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{11}\times\frac{3}{1}=\frac{3}{11}$

The janitor can clean $\frac{3}{11}$ of the stadium per hour.

Report an Error

Example Question #62 : Ratios & Proportional Relationships

A janitor can clean $\frac{1}{10}$ of a stadium in $\frac{1}{3}$ of an hour. If he continues this rate, how much of the stadium can he clean per hour?

Possible Answers:

$\frac{2}{5}\textup{ of the stadium}$

$\frac{1}{5}\textup{ of the stadium}$

$\frac{1}{10}\textup{ of the stadium}$

$\frac{1}{2}\textup{ of the stadium}$

$\frac{3}{10}\textup{ of the stadium}$

Correct answer:

$\frac{3}{10}\textup{ of the stadium}$

Explanation:

$\frac{\ \frac{1}{10}\ \textup{ of the stadium}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{10}\times\frac{3}{1}=\frac{3}{10}$

The janitor can clean $\frac{3}{10}$ of the stadium per hour.

Report an Error

Example Question #61 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

A janitor can clean $\frac{1}{8}$ of a stadium in $\frac{1}{3}$ of an hour. If he continues this rate, how much of the stadium can he clean per hour?

Possible Answers:

$\frac{1}{2}\textup{ of the stadium}$

$\frac{1}{8}\textup{ of the stadium}$

$\frac{5}{8}\textup{ of the stadium}$

$\frac{1}{4}\textup{ of the stadium}$

$\frac{3}{8}\textup{ of the stadium}$

Correct answer:

$\frac{3}{8}\textup{ of the stadium}$

Explanation:

$\frac{\ \frac{1}{8}\ \textup{ of the stadium}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{8}\times\frac{3}{1}=\frac{3}{8}$

The janitor can clean $\frac{3}{8}$ of the stadium per hour.

Report an Error

Example Question #61 : Ratios & Proportional Relationships

A janitor can clean $\frac{1}{7}$ of a stadium in $\frac{1}{3}$ of an hour. If he continues this rate, how much of the stadium can he clean per hour?

Possible Answers:

$\frac{1}{7}\textup{ of the stadium}$

$\frac{5}{7}\textup{ of the stadium}$

$\frac{2}{7}\textup{ of the stadium}$

$\frac{3}{7}\textup{ of the stadium}$

$\frac{4}{7}\textup{ of the stadium}$

Correct answer:

$\frac{3}{7}\textup{ of the stadium}$

Explanation:

$\frac{\ \frac{1}{7}\ \textup{ of the stadium}}{\ \frac{1}{3}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{3}\rightarrow \frac{3}{1}$

Therefore:

$\frac{1}{7}\times\frac{3}{1}=\frac{3}{7}$

The janitor can clean $\frac{3}{7}$ of the stadium per hour.

Report an Error

Example Question #61 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Hannah loves to shop. She can shop in $\frac{1}{10}$ of the mall in $\frac{1}{4}$ of an hour. If she continues at this rate, how much of the mall can she shop per hour?

Possible Answers:

$\frac{1}{5}\textup{ of the mall}$

$\frac{1}{2}\textup{ of the mall}$

$\frac{3}{5}\textup{ of the mall}$

$\frac{4}{5}\textup{ of the mall}$

$\frac{2}{5}\textup{ of the mall}$

Correct answer:

$\frac{2}{5}\textup{ of the mall}$

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the mall, $\frac{1}{10}$ , divided by hours, $\frac{1}{4}$ :

$\frac{\ \frac{1}{10}\ \textup{of the mall}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{10}\times\frac{4}{1}=\frac{4}{10}=\frac{2}{5}$

Hannah can shop in $\frac{2}{5}$ of the mall per hour.

Report an Error

Example Question #64 : Grade 7

Hannah loves to shop. She can shop in $\frac{1}{11}$ of the mall in $\frac{1}{4}$ of an hour. If she continues at this rate, how much of the mall can she shop per hour?

Possible Answers:

$\frac{1}{11}\textup{ of the mall}$

$\frac{3}{11}\textup{ of the mall}$

$\frac{5}{11}\textup{ of the mall}$

$\frac{2}{11}\textup{ of the mall}$

$\frac{4}{11}\textup{ of the mall}$

Correct answer:

$\frac{4}{11}\textup{ of the mall}$

Explanation:

$\frac{\ \frac{1}{9}\ \textup{of the mall}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{11}\times\frac{4}{1}=\frac{4}{11}$

Hannah can shop in $\frac{4}{11}$ of the mall per hour.

Report an Error

Example Question #68 : Ratios & Proportional Relationships

Hannah loves to shop. She can shop in $\frac{1}{8}$ of the mall in $\frac{1}{4}$ of an hour. If she continues at this rate, how much of the mall can she shop per hour?

Possible Answers:

$\frac{1}{8}\textup{ of the mall}$

$\frac{1}{2}\textup{ of the mall}$

$\frac{3}{8}\textup{ of the mall}$

$\frac{1}{4}\textup{ of the mall}$

$\frac{3}{4}\textup{ of the mall}$

Correct answer:

$\frac{1}{2}\textup{ of the mall}$

Explanation:

$\frac{\ \frac{1}{8}\ \textup{of the mall}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{8}\times\frac{4}{1}=\frac{4}{8}=\frac{1}{2}$

Hannah can shop in $\frac{1}{2}$ of the mall per hour.

Report an Error

Example Question #64 : Ratios & Proportional Relationships

Hannah loves to shop. She can shop in $\frac{1}{7}$ of the mall in $\frac{1}{4}$ of an hour. If she continues at this rate, how much of the mall can she shop per hour?

Possible Answers:

$\frac{2}{7}\textup{ of the mall}$

$\frac{1}{7}\textup{ of the mall}$

$\frac{5}{7}\textup{ of the mall}$

$\frac{3}{7}\textup{ of the mall}$

$\frac{4}{7}\textup{ of the mall}$

Correct answer:

$\frac{4}{7}\textup{ of the mall}$

Explanation:

$\frac{\ \frac{1}{7}\ \textup{of the mall}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{7}\times\frac{4}{1}=\frac{4}{7}$

Hannah can shop in $\frac{4}{7}$ of the mall per hour.

Report an Error

Example Question #66 : Grade 7

Hannah loves to shop. She can shop in $\frac{1}{6}$ of the mall in $\frac{1}{4}$ of an hour. If she continues at this rate, how much of the mall can she shop per hour?

Possible Answers:

$\frac{5}{6}\textup{ of the mall}$

$\frac{1}{3}\textup{ of the mall}$

$\frac{1}{6}\textup{ of the mall}$

$\frac{2}{3}\textup{ of the mall}$

$\frac{2}{5}\textup{ of the mall}$

Correct answer:

$\frac{2}{3}\textup{ of the mall}$

Explanation:

$\frac{\ \frac{1}{6}\ \textup{of the mall}}{\ \frac{1}{4}\ \textup{hours}}$

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

$\frac{1}{4}\rightarrow \frac{4}{1}$

Therefore:

$\frac{1}{6}\times\frac{4}{1}=\frac{4}{6}=\frac{2}{3}$

Hannah can shop in $\frac{2}{3}$ of the mall per hour.

Report an Error

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

David
Certified Tutor

Kent State University, Bachelors, Marketing. Kent State University at Kent, Masters in Education, Special Education.

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Denver, Computer Science Tutors in Atlanta, Chemistry Tutors in Washington DC, Calculus Tutors in Boston, Chemistry Tutors in Philadelphia, English Tutors in Houston, MCAT Tutors in Philadelphia, ISEE Tutors in Los Angeles, Biology Tutors in Los Angeles, ISEE Tutors in Miami

Popular Courses & Classes

GRE Courses & Classes in Boston, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Seattle, Spanish Courses & Classes in Houston, MCAT Courses & Classes in Boston, LSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Miami, GRE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Miami, SSAT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in Los Angeles, ISEE Test Prep in Miami, GRE Test Prep in Denver, GMAT Test Prep in Denver, GRE Test Prep in Houston, ACT Test Prep in Chicago, SSAT Test Prep in Houston, LSAT Test Prep in Denver, ACT Test Prep in Phoenix, GMAT Test Prep in Boston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #61 : Ratios & Proportional Relationships

Example Question #61 : Ratios & Proportional Relationships

Example Question #62 : Ratios & Proportional Relationships

Example Question #61 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Example Question #61 : Ratios & Proportional Relationships

Example Question #61 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Example Question #64 : Grade 7

Example Question #68 : Ratios & Proportional Relationships

Example Question #64 : Ratios & Proportional Relationships

Example Question #66 : Grade 7

All Common Core: 7th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: