Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 6th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 6th Grade Math

Create An Account

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Ratios & Proportional Relationships

A motorcycle travels $750\textup{ miles}$ $\displaystyle 750\textup{ miles}$ in $10\textup{ hours}$ $\displaystyle 10\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$100\textup{ mph}$ $\displaystyle 100\textup{ mph}$

$57\textup{ mph}$ $\displaystyle 57\textup{ mph}$

$750\textup{ mph}$ $\displaystyle 750\textup{ mph}$

$75\textup{ mph}$ $\displaystyle 75\textup{ mph}$

$60\textup{ mph}$ $\displaystyle 60\textup{ mph}$

Correct answer:

$75\textup{ mph}$ $\displaystyle 75\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$750\ miles: 10\ hours=\frac{750\ miles}{10\ hours}$ $\displaystyle 750\ miles: 10\ hours=\frac{750\ miles}{10\ hours}$

Reduce and solve.

75mph $\displaystyle 75mph$

Report an Error

Example Question #22 : Ratios & Proportional Relationships

A motorcycle travels $3828\textup{ miles}$ $\displaystyle 3828\textup{ miles}$ in $58\textup{ hours}$ $\displaystyle 58\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$55\textup{ mph}$ $\displaystyle 55\textup{ mph}$

$72\textup{ mph}$ $\displaystyle 72\textup{ mph}$

$66\textup{ mph}$ $\displaystyle 66\textup{ mph}$

$68\textup{ mph}$ $\displaystyle 68\textup{ mph}$

$76\textup{ mph}$ $\displaystyle 76\textup{ mph}$

Correct answer:

$66\textup{ mph}$ $\displaystyle 66\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$3828\ miles: 58\ hours=\frac{3828\ miles}{58\ hours}$ $\displaystyle 3828\ miles: 58\ hours=\frac{3828\ miles}{58\ hours}$

Reduce and solve.

66mph $\displaystyle 66mph$

Report an Error

Example Question #33 : How To Find A Ratio

A motorcycle travels $567\textup{ miles}$ $\displaystyle 567\textup{ miles}$ in $9\textup{ hours}$ $\displaystyle 9\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$36\textup{ mph}$ $\displaystyle 36\textup{ mph}$

$72\textup{ mph}$ $\displaystyle 72\textup{ mph}$

$66\textup{ mph}$ $\displaystyle 66\textup{ mph}$

$63\textup{ mph}$ $\displaystyle 63\textup{ mph}$

$69\textup{ mph}$ $\displaystyle 69\textup{ mph}$

Correct answer:

$63\textup{ mph}$ $\displaystyle 63\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$567\ miles: 9\ hours=\frac{567\ miles}{9\ hours}$ $\displaystyle 567\ miles: 9\ hours=\frac{567\ miles}{9\ hours}$

Reduce and solve.

63mph $\displaystyle 63mph$

Report an Error

Example Question #23 : Ratios & Proportional Relationships

A motorcycle travels $1296\textup{ miles}$ $\displaystyle 1296\textup{ miles}$ in $18\textup{ hours}$ $\displaystyle 18\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$80\textup{ mph}$ $\displaystyle 80\textup{ mph}$

$66\textup{ mph}$ $\displaystyle 66\textup{ mph}$

$72\textup{ mph}$ $\displaystyle 72\textup{ mph}$

$75\textup{ mph}$ $\displaystyle 75\textup{ mph}$

$77\textup{ mph}$ $\displaystyle 77\textup{ mph}$

Correct answer:

$72\textup{ mph}$ $\displaystyle 72\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$1296\ miles: 18\ hours=\frac{1296\ miles}{18\ hours}$ $\displaystyle 1296\ miles: 18\ hours=\frac{1296\ miles}{18\ hours}$

Reduce and solve.

72mph $\displaystyle 72mph$

Report an Error

Example Question #1 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 25$ workers?

Possible Answers:

$6\ \text{managers}$ $\displaystyle 6\ \text{managers}$

$10\ \text{managers}$ $\displaystyle 10\ \text{managers}$

$8\ \text{managers}$ $\displaystyle 8\ \text{managers}$

$2\ \text{managers}$ $\displaystyle 2\ \text{managers}$

$12\ \text{managers}$ $\displaystyle 12\ \text{managers}$

Correct answer:

$10\ \text{managers}$ $\displaystyle 10\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $25\ \text{workers}$ $\displaystyle 25\ \text{workers}$ .

Table

The factory will need $10\ \text{managers}$ $\displaystyle 10\ \text{managers}$ .

Report an Error

Example Question #22 : Ratios & Proportional Relationships

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 5$ workers?

Possible Answers:

$2\ \text{managers}$ $\displaystyle 2\ \text{managers}$

$4\ \text{managers}$ $\displaystyle 4\ \text{managers}$

$1\ \text{manager}$ $\displaystyle 1\ \text{manager}$

$8\ \text{managers}$ $\displaystyle 8\ \text{managers}$

$6\ \text{managers}$ $\displaystyle 6\ \text{managers}$

Correct answer:

$2\ \text{managers}$ $\displaystyle 2\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $5\ \text{workers}$ $\displaystyle 5\ \text{workers}$ .

Table

The factory will need $2\ \text{managers}$ $\displaystyle 2\ \text{managers}$ .

Report an Error

Example Question #24 : Ratios & Proportional Relationships

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 15$ workers?

Possible Answers:

$4\ \text{managers}$ $\displaystyle 4\ \text{managers}$

$6\ \text{managers}$ $\displaystyle 6\ \text{managers}$

$5\ \text{managers}$ $\displaystyle 5\ \text{managers}$

$3\ \text{managers}$ $\displaystyle 3\ \text{managers}$

$8\ \text{managers}$ $\displaystyle 8\ \text{managers}$

Correct answer:

$6\ \text{managers}$ $\displaystyle 6\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $15\ \text{workers}$ $\displaystyle 15\ \text{workers}$ .

Table

The factory will need $6\ \text{managers}$ $\displaystyle 6\ \text{managers}$ .

Report an Error

Example Question #1 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 10$ workers?

Possible Answers:

$4\ \text{managers}$ $\displaystyle 4\ \text{managers}$

$2\ \text{managers}$ $\displaystyle 2\ \text{managers}$

$1\ \text{manager}$ $\displaystyle 1\ \text{manager}$

$6\ \text{managers}$ $\displaystyle 6\ \text{managers}$

$3\ \text{managers}$ $\displaystyle 3\ \text{managers}$

Correct answer:

$4\ \text{managers}$ $\displaystyle 4\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $10\ \text{workers}$ $\displaystyle 10\ \text{workers}$ .

Table

The factory will need $4\ \text{managers}$ $\displaystyle 4\ \text{managers}$ .

Report an Error

Example Question #25 : Ratios & Proportional Relationships

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 60$ workers?

Possible Answers:

$24\ \text{managers}$ $\displaystyle 24\ \text{managers}$

$18\ \text{managers}$ $\displaystyle 18\ \text{managers}$

$20\ \text{managers}$ $\displaystyle 20\ \text{managers}$

$26\ \text{managers}$ $\displaystyle 26\ \text{managers}$

$23\ \text{managers}$ $\displaystyle 23\ \text{managers}$

Correct answer:

$24\ \text{managers}$ $\displaystyle 24\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $60\ \text{workers}$ $\displaystyle 60\ \text{workers}$ .

Table

The factory will need $24\ \text{managers}$ $\displaystyle 24\ \text{managers}$ .

Report an Error

Example Question #2 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a local microchip factory, there are $\displaystyle 2$ managers for every $\displaystyle 5$ workers. How many managers are needed for $\displaystyle 45$ workers?

Possible Answers:

$13\ \text{managers}$ $\displaystyle 13\ \text{managers}$

$14\ \text{managers}$ $\displaystyle 14\ \text{managers}$

$16\ \text{managers}$ $\displaystyle 16\ \text{managers}$

$17\ \text{managers}$ $\displaystyle 17\ \text{managers}$

$18\ \text{managers}$ $\displaystyle 18\ \text{managers}$

Correct answer:

$18\ \text{managers}$ $\displaystyle 18\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$ $\displaystyle 2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $45\ \text{workers}$ $\displaystyle 45\ \text{workers}$ .

Table

The factory will need $18\ \text{managers}$ $\displaystyle 18\ \text{managers}$ .

Report an Error

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

Marlene
Certified Tutor

Herbert Lehman, Bachelors, Recreation Education. Long Island University-Brooklyn Campus, Masters, Special Education.

View Tutors

Gisela
Certified Tutor

Berkeley College-Woodland Park, Bachelors, International Business. Berkeley College-Woodland Park, Masters, Business manageme...

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Chicago, LSAT Tutors in Atlanta, GRE Tutors in Washington DC, Spanish Tutors in Philadelphia, French Tutors in Miami, Calculus Tutors in New York City, GMAT Tutors in Boston, Reading Tutors in San Diego, Reading Tutors in Philadelphia, SAT Tutors in Dallas Fort Worth

Popular Courses & Classes

GMAT Courses & Classes in San Diego, ACT Courses & Classes in Seattle, ISEE Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Los Angeles, MCAT Courses & Classes in New York City, SSAT Courses & Classes in San Diego, ISEE Courses & Classes in Phoenix, GMAT Courses & Classes in Seattle, GMAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in Seattle, LSAT Test Prep in Atlanta, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in Philadelphia, LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Chicago, SAT Test Prep in Denver, SSAT Test Prep in Boston, ACT Test Prep in Phoenix

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: 6th Grade Math : Ratios & Proportional Relationships

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #21 : Ratios & Proportional Relationships

Example Question #22 : Ratios & Proportional Relationships

Example Question #33 : How To Find A Ratio

Example Question #23 : Ratios & Proportional Relationships

Example Question #1 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

Example Question #22 : Ratios & Proportional Relationships

Example Question #24 : Ratios & Proportional Relationships

Example Question #1 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

Example Question #25 : Ratios & Proportional Relationships

Example Question #2 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

All Common Core: 6th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: