We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Quantitative : Squares

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

Create An Account

All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #232 : Geometry

Which is the greater quantity?

(a) The sidelength of a square with area 400 square inches.

(b) The sidelength of a square with perimeter 80 inches.

Possible Answers:

(a) is greater

(b) is greater

(a) and (b) are equal

It is impossible to tell which is greater from the information given

Correct answer:

(a) and (b) are equal

Explanation:

The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:

(a) A square with area 400 square inches has sidelength $\sqrt{400} = 20$ $\displaystyle \sqrt{400} = 20$ inches.

(b) A square with perimeter 80 inches has sidelength $80 \div 4 = 20$ $\displaystyle 80 \div 4 = 20$ inches.

The two quantities are equal.

Report an Error

Example Question #233 : Geometry

Which is the greater quantity?

(a) The sidelength of a square with area 225 $\displaystyle 225$ square inches.

(b) The sidelength of a square with perimeter $\displaystyle 50$ inches.

Possible Answers:

(a) and (b) are equal.

It is impossible to tell which is greater from the information given.

(a) is greater.

(b) is greater.

Correct answer:

(a) is greater.

Explanation:

The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:

(a) A square with area 225 $\displaystyle 225$ square inches has sidelength $\sqrt{225} = 15$ $\displaystyle \sqrt{225} = 15$ inches.

(b) A square with perimeter $\displaystyle 50$ inches has sidelength $50 \div 4 = 12.5$ $\displaystyle 50 \div 4 = 12.5$ inches.

(a) is the greater quantity.

Report an Error

Example Question #234 : Geometry

The perimeter of a square is $2 ^{x}$ $\displaystyle 2 ^{x}$. Give the length of each side in terms of $\displaystyle x$.

Possible Answers:

$2^{x-1}$ $\displaystyle 2^{x-1}$

$2^{\frac{1}{4}x}$ $\displaystyle 2^{\frac{1}{4}x}$

$2^{x-4}$ $\displaystyle 2^{x-4}$

$2^{x-2}$ $\displaystyle 2^{x-2}$

$2^{\frac{1}{2}x}$ $\displaystyle 2^{\frac{1}{2}x}$

Correct answer:

$2^{x-2}$ $\displaystyle 2^{x-2}$

Explanation:

Divide the perimeter of a square by 4 to get its sidelength:

$\frac{2 ^{x} }{4} = \frac{2 ^{x} }{2^{2}} = 2^{x-2}$ $\displaystyle \frac{2 ^{x} }{4} = \frac{2 ^{x} }{2^{2}} = 2^{x-2}$

Report an Error

View Tutors

Tom
Certified Tutor

University of Wisconsin-Madison, Bachelor of Science, Atmospheric Sciences and Meteorology. Embry-Riddle Aeronautical Univers...

View Tutors

Iffy
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Engineering, General. University of Maryland-College P...

View Tutors

Lindsey
Certified Tutor

California State University-Fresno, Bachelor of Science, Ecology and Evolutionary Biology. National University, Certificate, ...

All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Washington DC, Statistics Tutors in Denver, French Tutors in San Francisco-Bay Area, LSAT Tutors in Philadelphia, ISEE Tutors in Atlanta, GMAT Tutors in Dallas Fort Worth, English Tutors in Phoenix, ACT Tutors in San Diego, Biology Tutors in New York City, GRE Tutors in New York City

Popular Courses & Classes

LSAT Courses & Classes in Washington DC, ACT Courses & Classes in Philadelphia, MCAT Courses & Classes in New York City, ISEE Courses & Classes in Houston, LSAT Courses & Classes in New York City, Spanish Courses & Classes in Chicago, LSAT Courses & Classes in Chicago, GMAT Courses & Classes in San Diego, MCAT Courses & Classes in Seattle, ISEE Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Houston, ISEE Test Prep in Miami, LSAT Test Prep in Atlanta, SAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Houston, ACT Test Prep in Philadelphia, GRE Test Prep in Washington DC, GRE Test Prep in Houston, ISEE Test Prep in Dallas Fort Worth

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

ISEE Upper Level Quantitative : Squares

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #232 : Geometry

Example Question #233 : Geometry

Example Question #234 : Geometry

All ISEE Upper Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: