Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Quantitative : How to make non-geometric comparisons

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 : Non Geometric Comparison

$\dpi{100} \frac{1}{3}$ of what number is equal to 2 times 4?

Possible Answers:

$\dpi{100} 15$

$\dpi{100} 12$

$\dpi{100} 30$

$\dpi{100} 24$

Correct answer:

$\dpi{100} 24$

Explanation:

Set up the following equation.

$\dpi{100} \frac{1}{3}x=2\cdot 4$

$\dpi{100} \frac{1}{3}x=8$

$\dpi{100} 3\cdot \frac{1}{3}x=8\cdot 3$

$\dpi{100} x=24$

Report an Error

Example Question #1 : Non Geometric Comparison

Examine (A), (B), and (C) and find the best answer.

(A) $\dpi{100} .75$

(B) $\dpi{100} \frac{1}{2}$ of $\dpi{100} 1.5$

Possible Answers:

(B) is less than (A), which is less than (C).

(A), (B), and (C) are equal.

(A) and (C) are equal and are greater than (B)

Correct answer:

(A), (B), and (C) are equal.

Explanation:

All of these choices are equal.

$\dpi{100} \frac{3}{4}$ is .75 in fraction form, and .75 is $\dpi{100} \frac{3}{4}$ in decimal form.

$\dpi{100} \frac{1}{2}$ of 1.5 is the same as $\dpi{100} \frac{1}{2}\cdot \frac{3}{2}=\frac{3}{4}$ .

Report an Error

Example Question #1 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) and find the best answer.

a) the square root of 121

b) $\frac{1}{20}$ of 200

c) the average of &

Possible Answers:

a=b=c

a>b=c

a<b<c

a>b>c

Correct answer:

a>b=c

Explanation:

a) The square root of 121 is , because $11\cdot 11=121$ .

b) $\frac{1}{20}$ of 200 is , because $200\div 20=10$ .

c) The average of and is , because $\frac{5+15}{2}=10$ .

Therefore (b) and (c) are equal, and they are both smaller than (a).

Report an Error

Example Question #3 : Non Geometric Comparison

Examine (a), (b), and (c) and find the best answer.

a) percent of

b) percent of 120

c) percent of 110

Possible Answers:

a<b<c

b<a<c

a=b<c

a=b=c

Correct answer:

b<a<c

Explanation:

a) percent of is because $96\cdot .50=48$ .

b) percent of 120 is because $120\cdot .30=40$ .

c) percent of 110 is because $111\cdot .60=66$ .

Therefore (b) is smaller than (a) which is smaller than (c).

Report an Error

Example Question #4 : Non Geometric Comparison

Examine (a), (b), and (c) and find the best answer.

b) 2(2+3)

c) $\frac{2}{(2+3)}$

Possible Answers:

a<b=c

a=b=c

a>b>c

a<b<c

Correct answer:

a>b>c

Explanation:

b) 2(2+3) $= 2\cdot 5 = 10$

c) $\frac{2}{(2+3)}$ $=\frac{2}{5}= .4$

Therefore (a) is larger than (b) which is larger than (c).

Report an Error

Example Question #5 : Non Geometric Comparison

Examine (a), (b), and (c) and find the best answer.

a) $4^{2}$

b) $2^{4}$

c) $2^{2} + 4$

Possible Answers:

a=b=c

a<b<c

a>b>c

a=b>c

Correct answer:

a=b>c

Explanation:

a) $4^{2} = 4\cdot 4 =16$

b) $2^{4} = 2\cdot 2\cdot 2\cdot 2 = 16$

c) $2^{2} + 4 = 2\cdot 2 + 4 = 4+4 = 8$

Therefore (a) and (b) are equal, and they are larger than (c).

Report an Error

Example Question #6 : Non Geometric Comparison

Examine (a), (b), and (c) and find the best answer.

a) $5+\frac{6+8}{2}$

b) $\frac{5(6+8)}{2}$

c) $\frac{5}{2}\cdot6+8$

Possible Answers:

b>c>a

a=b=c

a=b>c

a>b>c

Correct answer:

b>c>a

Explanation:

This question tests your understanding of the order of operations. First complete operations in parentheses, then multiplication and division, and finally addition and subtraction.

a) $5+\frac{6+8}{2} = 5+\frac{14}{2} = 5+7 = 12$

b) $\frac{5(6+8)}{2}=\frac{5\cdot 14}{2}=\frac{70}{2}=35$

c) $\frac{5}{2}\cdot6+8=2.5\cdot6+8=15+8=23$

Therefore (a) is smaller than (c) which is smaller than (b).

Report an Error

Example Question #1 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) and find the best answer.

a) $\sqrt{64}$

b) percent of

c) $\frac{64}{8}$

Possible Answers:

a=c>b

a=c<b

a<b<c

a=b=c

Correct answer:

a=c>b

Explanation:

a) $\sqrt{64}$ = 8

b) percent of $= 64\cdot.10=6.4$

c) $\frac{64}{8}$ $=64\div8=8$

Therefore (a) and (c) are the same, and they are both larger than (b).

Report an Error

Example Question #1 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) and choose the best answer.

a) percent of percent of 400

b) 400 percent of percent of

c) percent of 400 percent of

Possible Answers:

c>a>b

a>b>c

a=b=c

a<b<c

Correct answer:

a=b=c

Explanation:

a) percent of percent of 400

$.85\cdot.15\cdot400=51$

b) 400 percent of percent of

$4.00\cdot.85\cdot15=51$

c) percent of 400 percent of

$.15\cdot4.00\cdot85=51$

Therefore (a), (b), and (c) are all equal.

Report an Error

Example Question #1 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a) percent of 500

b) percent of 1000

c) percent of 250

Possible Answers:

(b) is the greatest, and (a) and (c) are equal

(b) is greater than (a) or (c)

(a), (b), and (c) are all equal

Correct answer:

(a), (b), and (c) are all equal

Explanation:

In each of these scenarios, if the percentage increases, the number decreases by the same factor. All cases are the same value:

a) percent of 500

$500\cdot.42=210$

b) percent of 1000

$1000\cdot.21=210$

c) percent of 250

$250\cdot.84=210$

Report an Error

View Tutors

Kaitlyn
Certified Tutor

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

View Tutors

Martine
Certified Tutor

University of South Florida-Main Campus, Bachelors, Science. Windsor University School of Medicine, Doctor of Medicine, Scien...

View Tutors

Mark
Certified Tutor

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

All HSPT Quantitative Resources

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

Popular Subjects

SAT Tutors in San Francisco-Bay Area, GRE Tutors in Seattle, GRE Tutors in Washington DC, SAT Tutors in Boston, Calculus Tutors in Boston, ISEE Tutors in Washington DC, Reading Tutors in Seattle, ACT Tutors in Denver, MCAT Tutors in Atlanta, SAT Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Chicago, SAT Courses & Classes in San Diego, Spanish Courses & Classes in San Diego, ACT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in New York City, ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in San Diego, ISEE Courses & Classes in Houston, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Houston

Popular Test Prep

ISEE Test Prep in Dallas Fort Worth, SSAT Test Prep in San Diego, SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Houston, MCAT Test Prep in Seattle, SAT Test Prep in Atlanta, MCAT Test Prep in Phoenix, GRE Test Prep in Washington DC, ACT Test Prep in Boston, GRE 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 : How to make non-geometric comparisons

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #1 : Non Geometric Comparison

Example Question #1 : Non Geometric Comparison

Example Question #1 : How To Make Non Geometric Comparisons

Example Question #3 : Non Geometric Comparison

Example Question #4 : Non Geometric Comparison

Example Question #5 : Non Geometric Comparison

Example Question #6 : Non Geometric Comparison

Example Question #1 : How To Make Non Geometric Comparisons

Example Question #1 : How To Make Non Geometric Comparisons

Example Question #1 : Non Geometric Comparison

All HSPT Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: