Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #321 : Concepts

Which of the following is the reciprocal of $-1 \frac {4}{5}$ ?

Possible Answers:

$\frac {5}{9}$

$-5 \frac {1}{4}$

$1 \frac {4}{5}$

$-\frac {5}{9}$

Correct answer:

$-\frac {5}{9}$

Explanation:

First, rewrite this as an improper fraction:

$-1 \frac {4}{5} =-\frac {5 \times 1+ 4}{5}= -\frac {9}{5}$

The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is $-\frac {5}{9}$ .

Report an Error

Example Question #322 : Concepts

Which of the following is the reciprocal of 2.8?

Possible Answers:

$2 \frac{4}{5}$

$\frac{5}{14}$

$\frac{2}{7}$

$-2 \frac{4}{5}$

Correct answer:

$\frac{5}{14}$

Explanation:

First, rewrite this as an improper fraction:

$2.8 = \frac{28}{10} = \frac{28\div 2}{10\div 2} = \frac{14}{5}$

The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is $\frac{5}{14}$ .

Report an Error

Example Question #323 : Concepts

Solve:

$\frac{3}{7}\div \frac{1}{5}$

Possible Answers:

$\frac{3}{2}$

$\frac{15}{7}$

$\frac{1}{2}$

$\frac{3}{35}$

Correct answer:

$\frac{15}{7}$

Explanation:

$\frac{3}{7}\div \frac{1}{5}=\frac{3}{7}\times \frac{5}{1}=\frac{15}{7}$

Report an Error

Example Question #324 : Concepts

Which of the following is the reciprocal of 31.25?

Possible Answers:

0.028

0.032

0.036

0.024

Correct answer:

0.032

Explanation:

Rewrite 31.25 as a fraction:

$31.25 = \frac{3,125}{100} = \frac{3,125\div 25}{100\div 25} = \frac{125}{4}$

Exchange the positions of the numerator and the denominator to get $\frac{4}{125}$ . Now divide 4 by 125:

$\frac{4}{125} = 4 \div 125 = 0.032$

Report an Error

Example Question #325 : Concepts

Solve:

$\frac{9}{10}\div \frac{3}{5}=$

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$\small \frac{6}{5}$

$\frac{5}{6}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\small \frac{9}{10}\div \frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}$

Report an Error

Example Question #326 : Concepts

$\frac{7}{49}\div \frac{2}{14}=$

Possible Answers:

$1\frac{3}{4}$

$\frac{2}{94}$

196

Correct answer:

Explanation:

Change division to multiplication by flipping the second fraction. Then, simplify and perform the multiplication.

$\frac{7}{49}\div \frac{2}{14}=$

$\frac{7}{49}\times \frac{14}{2}= \frac{1}{7}\times \frac{7}{1}=\frac{7}{7}=1$

The answer is 1.

Report an Error

Example Question #327 : Concepts

$12 \frac{4}{6} \div 4\frac{2}{4}=$

Possible Answers:

$1\frac{2}{3}$

$3\frac{1}{3}$

$2\frac{22}{27}$

$2\frac{7}{9}$

$2\frac{20}{27}$

Correct answer:

$2\frac{22}{27}$

Explanation:

First convert each fraction into an improper fraction.

$\frac{76}{6}\div \frac{18}{4}=$

Then flip the second fraction, reduce and multiply:

$\frac{76}{6}\ast \frac{4}{18}=$

The answer is $2\frac{22}{27}$ .

Report an Error

Example Question #328 : Concepts

Divide:

$\frac{4}{9}\div \frac{2}{3}$

Possible Answers:

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{7}{}9$

$\frac{4}{}9$

$\frac{1}{}3$

Correct answer:

$\frac{2}{3}$

Explanation:

The first step in dividing fractions is to make the second fraction a reciprocal (flip it) and then rewrite the problem as a multiplication problem: $\left(\frac{4}{9}\times \frac{3}{2}\right)$ .

You can cross-reduce so that the problem now becomes $\left(\frac{2}{3}\times \frac{1}{1}\right)$ . Then, mulitply straight across so that your answer is $\frac{2}{3}$ .

Report an Error

Example Question #329 : Concepts

What is the value of in this equation?

$\frac{9}{5}\div \frac{5}{7}=x$

Possible Answers:

$\frac{63}{25}$

$\frac{7}{9}$

$\frac{25}{63}$

$\frac{9}{7}$

Correct answer:

$\frac{63}{25}$

Explanation:

In order to solve $\frac{9}{5}\div \frac{5}{7}$ , the latter fraction must be inverted and then multiplied by the first fraction, as shown below:

$\frac{9}{5}\cdot \frac{7}{5} = \frac{63}{25}$

Report an Error

Example Question #330 : Concepts

$\frac{7}{16}*\frac{8}{3}=?$

Possible Answers:

$\frac{6}{7}$

$\frac{56}{19}$

$\frac{7}{6}$

$\frac{15}{19}$

Correct answer:

$\frac{7}{6}$

Explanation:

To multiply a fraction you multiply the top number of the first fraction by the top number of the second fraction and the bottom number of the first fraction by the bottom number of the second fraction.

So $\frac{(7*8)}{(16*3)}$

Then simplify the answer by dividing by the greatest common factor. $\frac{(56/8)}{(48/8)}$

After performing this the answer is $\frac{7}{6}$ .

Report an Error

View Tutors

Sharon
Certified Tutor

Tabor College, Bachelor of Science, Mathematics Teacher Education. Tabor College, Masters in Education, Education.

View Tutors

Robert
Certified Tutor

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

View Tutors

Mark
Certified Tutor

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

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Los Angeles, LSAT Tutors in Phoenix, Statistics Tutors in Washington DC, Statistics Tutors in Los Angeles, Algebra Tutors in San Francisco-Bay Area, Chemistry Tutors in Washington DC, Chemistry Tutors in Chicago, Biology Tutors in Miami, Physics Tutors in Seattle, Spanish Tutors in Houston

Popular Courses & Classes

GRE Courses & Classes in Chicago, ACT Courses & Classes in Los Angeles, ACT Courses & Classes in Boston, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Boston, GRE Courses & Classes in Washington DC, MCAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Denver, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in San Diego

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Denver, ISEE Test Prep in Houston, ACT Test Prep in Los Angeles, GMAT Test Prep in Houston, SSAT Test Prep in Houston, GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Seattle, MCAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in San Diego

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 Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #321 : Concepts

Example Question #322 : Concepts

Example Question #323 : Concepts

Example Question #324 : Concepts

Example Question #325 : Concepts

Example Question #326 : Concepts

Example Question #327 : Concepts

Example Question #328 : Concepts

Example Question #329 : Concepts

Example Question #330 : Concepts

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: