We are open Saturday and Sunday!

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 #1 : How To Manipulate Numbers

What number is the square of 4 divided by 2?

Possible Answers:

$\dpi{100} 1$

$\dpi{100} 4$

$\dpi{100} 8$

$\dpi{100} 16$

Correct answer:

$\dpi{100} 8$

Explanation:

First, square 4.

$\dpi{100} 4^{2}=16$

Then divide the answer by two.

$\dpi{100} \frac{16}{2}=8$

Report an Error

Example Question #1 : How To Manipulate Numbers

What number is the cube of 4 multiplied by 2?

Possible Answers:

$\dpi{100} 64$

$\dpi{100} 128$

$\dpi{100} 32$

$\dpi{100} 24$

Correct answer:

$\dpi{100} 128$

Explanation:

First, cube 4.

$\dpi{100} 4^{3}=64$

Multiply that answer by 2.

$\dpi{100} 2\times 64=128$

Report an Error

Example Question #2 : How To Manipulate Numbers

What number divided by 5 is $\dpi{100} \frac{1}{8}$ of 40?

Possible Answers:

$\dpi{100} 20$

$\dpi{100} 25$

$\dpi{100} 40$

$\dpi{100} 5$

Correct answer:

$\dpi{100} 25$

Explanation:

Set up an equation that fits the information:

$\dpi{100} \frac{x}{5}=\frac{1}{8}\cdot 40$

$\dpi{100} \frac{x}{5}=5$

$\dpi{100} 5\cdot \frac{x}{5}=5\cdot 5$

$\dpi{100} x=25$

Report an Error

Example Question #2 : How To Manipulate Numbers

What number is 4 times $\dpi{100} \frac{1}{8}$ of 80?

Possible Answers:

$\dpi{100} 20$

$\dpi{100} 32$

$\dpi{100} 3200$

$\dpi{100} 40$

Correct answer:

$\dpi{100} 40$

Explanation:

Set up an equation using the information provided, and then solve.

$\dpi{100} x=4\cdot (\frac{1}{8}\cdot 80)$

$\dpi{100} x=4\cdot 10$

$\dpi{100} x=40$

Report an Error

Example Question #2 : How To Manipulate Numbers

What number divided by is 150 percent of ?

Possible Answers:

180

Correct answer:

180

Explanation:

Work backwards to solve this problem. First, 150 percent of is , because $1.50\cdot 60=90$ .

Now, multiply this by to reverse the division.

$90\cdot 2=180$ , so the answer is 180.

Report an Error

Example Question #1 : How To Manipulate Numbers

is percent of what number?

Possible Answers:

240

216

360

Correct answer:

240

Explanation:

Using to represent the unknown number, we know that .30z=72 . Using algebraic manipulation, divide both sides by to find .

$72\div .30=240$

Report an Error

Example Question #3 : How To Manipulate Numbers

What number is $\frac{2}{3}$ of less than 101 ?

Possible Answers:

Correct answer:

Explanation:

Work backwards to solve this problem. First, less than 101 is :

101-5=96

Then, $\frac{2}{3}$ of is :

$96\cdot\frac{2}{3}=64$

Report an Error

Example Question #3 : How To Manipulate Numbers

What number is percent of the difference between 153 and 113 ?

Possible Answers:

114

Correct answer:

Explanation:

Work backwards to solve this problem. First, the difference between 153 and 113 is :

153-113=40

Then, percent of that is :

$40\cdot.35=14$

Report an Error

Example Question #4 : How To Manipulate Numbers

What number is percent of 225 ?

Possible Answers:

900

Correct answer:

Explanation:

Multiply 225 by to find percent:

$225\cdot.28=63$

Report an Error

Example Question #5 : How To Manipulate Numbers

What is the average of $9^{2}$ and $11^{2}$ ?

Possible Answers:

202

104

101

Correct answer:

101

Explanation:

The first step is to calculate the squares:

$9^2=9\cdot9=81$

$11^2=11\cdot11=121$

Second, find the average by finding the sum and dividing by the number of numbers:

$\frac{81+121}{2}=\frac{202}{2}=101$

Report an Error

View Tutors

Mark
Certified Tutor

Eastern Michigan University, Bachelor of Science, Education of Individuals in Secondary Special Education Programs. Eastern M...

View Tutors

Kaitlyn
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. NUI Galway Ireland, Master of Science, Neuroscience.

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All HSPT Quantitative Resources

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

Popular Subjects

Spanish Tutors in San Diego, Computer Science Tutors in Seattle, Physics Tutors in Dallas Fort Worth, Statistics Tutors in Miami, Calculus Tutors in Houston, French Tutors in Boston, GMAT Tutors in Denver, Calculus Tutors in San Diego, Statistics Tutors in Boston, ISEE Tutors in Dallas Fort Worth

Popular Courses & Classes

GMAT Courses & Classes in Philadelphia, GRE Courses & Classes in New York City, GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Atlanta, SAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Miami, MCAT Courses & Classes in Seattle, GRE Courses & Classes in Chicago, SAT Courses & Classes in Boston, Spanish Courses & Classes in Philadelphia

Popular Test Prep

ISEE Test Prep in Chicago, ACT Test Prep in Philadelphia, ACT Test Prep in San Diego, GMAT Test Prep in Philadelphia, LSAT Test Prep in Seattle, GRE Test Prep in New York City, SAT Test Prep in Chicago, GRE Test Prep in Los Angeles, GRE Test Prep in San Francisco-Bay Area, LSAT 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 #1 : How To Manipulate Numbers

Example Question #1 : How To Manipulate Numbers

Example Question #2 : How To Manipulate Numbers

Example Question #2 : How To Manipulate Numbers

Example Question #2 : How To Manipulate Numbers

Example Question #1 : How To Manipulate Numbers

Example Question #3 : How To Manipulate Numbers

Example Question #3 : How To Manipulate Numbers

Example Question #4 : How To Manipulate Numbers

Example Question #5 : 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: