Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Quantitative : Number Manipulation*

Study concepts, example questions & explanations for HSPT Quantitative

Create An Account

All HSPT Quantitative Resources

6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #111 : How To Manipulate Numbers

What is the average of 15^2 , 16^2 , and the product of and ?

Possible Answers:

235

225

239

210

Correct answer:

235

Explanation:

First, calculate each of the three values:

15^2=225

16^2=256

$14\cdot16=224$

Then, find the average by dividing the sum by the number of values:

$\frac{225+256+224}{3}=\frac{705}{3}=235$

Report an Error

Example Question #111 : Number Manipulation*

is percent of what number?

Possible Answers:

840

810

210

284

Correct answer:

210

Explanation:

Set up a ratio to solve this problem, using an to represent the unknown value:

$\frac{42}{x}=\frac{20}{100}$

Then cross multiply and solve:

$42\cdot100=20x$

4200=20x

$\frac{4200}{20}=x$

210=x

Report an Error

Example Question #112 : Number Manipulation*

is what percent of 400 ?

Possible Answers:

176

17.6

Correct answer:

Explanation:

Set up a ratio to solve this problem:

$\frac{44}{400}=\frac{x}{100}$

Then cross-multiply and solve:

$44\cdot100=400x$

$\frac{4400}{400}=11=x$

Report an Error

Example Question #114 : How To Manipulate Numbers

What number, when multiplied by , is $\frac{1}{3}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{1}{3}$ of :

$\frac{96}{3}=32$

Then, divide by :

$32\div2=16$

Report an Error

Example Question #114 : How To Manipulate Numbers

What is times $\frac{1}{2}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, $\frac{1}{2}$ of is :

$\frac{22}{2}=11$

Next, multiply by :

$11\cdot4=44$

Report an Error

Example Question #113 : Number Manipulation*

What is percent of 660 ?

Possible Answers:

198

210

212

168

Correct answer:

198

Explanation:

Multiply by the decimal version of percent:

$660\cdot.30=198$

Report an Error

Example Question #116 : How To Manipulate Numbers

What is less than $\frac{3}{4}$ of ?

Possible Answers:

Correct answer:

Explanation:

First, find $\frac{3}{4}$ of :

$\frac{3\cdot52}{4}=39$

Then subtract :

39-6=33

Report an Error

Example Question #114 : Number Manipulation*

What number, multiplied by , is equal to times the square root of ?

Possible Answers:

Correct answer:

Explanation:

First, find the square root of :

$\sqrt{81}=9$

Then, multiply by :

$9\cdot2=18$

And finally divide by :

$18\div3=6$

Report an Error

Example Question #117 : How To Manipulate Numbers

What is percent of 180 ?

Possible Answers:

25.2

Correct answer:

25.2

Explanation:

Set up a ratio to solve this problem, representing the unknown value with an :

$\frac{x}{180}=\frac{14}{100}$

Then cross-multipy and solve:

$180\cdot14=100x$

$\frac{180\cdot14}{100}=\frac{18\cdot 14}{10}=\frac{9\cdot 14}{5}=\frac{126}{5}=25.2=x$

Report an Error

Example Question #113 : How To Manipulate Numbers

What is the difference between $\frac{1}{3}$ of and $\sqrt{36}$ ?

Possible Answers:

Correct answer:

Explanation:

$\frac{1}{3}$ of is

$\frac{36}{3}=12$

and $\sqrt{36}$ is (because $6\cdot6=36$ )

Subtract to find the difference:

12-6=6

Report an Error

View Tutors

Katherine
Certified Tutor

Purdue University West Lafayette, Bachelor in Arts, Accounting. College of St Elizabeth, Master of Arts, Education.

View Tutors

Iffy
Certified Tutor

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

View Tutors

Robert
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...

All HSPT Quantitative Resources

6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in San Diego, English Tutors in Boston, Calculus Tutors in Denver, LSAT Tutors in New York City, Reading Tutors in Miami, Reading Tutors in Atlanta, ACT Tutors in Seattle, SAT Tutors in Seattle, SAT Tutors in Atlanta, Calculus Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Chicago, MCAT Courses & Classes in Atlanta, SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, LSAT Courses & Classes in Denver, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Seattle, ISEE Courses & Classes in New York City

Popular Test Prep

SAT Test Prep in Washington DC, SAT Test Prep in Los Angeles, GMAT Test Prep in San Diego, GRE Test Prep in Chicago, LSAT Test Prep in Atlanta, LSAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Philadelphia, LSAT Test Prep in Phoenix, LSAT Test Prep in New York City, ACT Test Prep in San Francisco-Bay Area

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

HSPT Quantitative : Number Manipulation*

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #111 : How To Manipulate Numbers

Example Question #111 : Number Manipulation*

Example Question #112 : Number Manipulation*

Example Question #114 : How To Manipulate Numbers

Example Question #114 : How To Manipulate Numbers

Example Question #113 : Number Manipulation*

Example Question #116 : How To Manipulate Numbers

Example Question #114 : Number Manipulation*

Example Question #117 : How To Manipulate Numbers

Example Question #113 : How To Manipulate Numbers

All HSPT Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: