We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : Arithmetic

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 #211 : Fractions

Add the following fractions:

$\frac{3}{5}+\frac{2}{15}$

Possible Answers:

$\frac{11}{15}$

$\frac{1}{3}$

$\frac{7}{15}$

$\frac{5}{15}$

Correct answer:

$\frac{11}{15}$

Explanation:

To solve, simply find a common denominator and add.

Multiply the first fraction by $\frac{3}{3}$ to get 15 as the common denomintor and then add the numerators.

Thus,

$\frac{3}{5}*\frac{3}{3}+\frac{2}{15}=\frac{9}{15}+\frac{2}{15}=\frac{11}{15}$

Report an Error

Example Question #502 : Concepts

Which of the following is equal to the sum of $\frac{1}{8}$ and $\frac{1}{5}$ ?

Possible Answers:

0.375

0.154

0.325

0.24

Correct answer:

0.325

Explanation:

The easiest way is to convert each fraction to a decimal first, then add. $\frac{1}{8}$ can be converted to a decimal by dividing 1 by 8; $\frac{1}{5}$ can be converted similarly:

Division \

Add:

$\begin{matrix} 0.125\\ \underline{0.200}\\ 0.325 \end{matrix}$

Report an Error

Example Question #503 : Concepts

$A = -4 \frac{1}{2}$

$B = 1 \frac{1}{3}$

Which of the following is the least of the four?

Possible Answers:

A + B

$A \cdot B$

$A \div B$

A -B

Correct answer:

$A \cdot B$

Explanation:

$-1\frac{1}{3} < 1 \frac{1}{3}$

$-4 \frac{1}{2} - 1\frac{1}{3 } < -4 \frac{1}{2}+ 1\frac{1}{3 }$

A-B < A+B

so A + B can be eliminated as the least of the four.

$1 \frac{1}{3}$ , which is equal to $\frac{4}{3}$ , has as its reciprocal $\frac{3}{4}$ , and:

$1 \frac{1}{3} > 1 > \frac{3}{4}$

$-4 \frac{1}{2} \cdot 1 \frac{1}{3} < -4 \frac{1}{2} \cdot \frac{3}{4}$

$-4 \frac{1}{2} \cdot 1 \frac{1}{3} < -4 \frac{1}{2} \div 1 \frac{1}{3}$

$A \cdot B<A \div B$

so $A \div B$ can be eliminated as the least of the four.

To find the least of the four, we only need to compare $A \cdot B$ and A-B :

$A \cdot B =-4 \frac{1}{2} \cdot 1 \frac{1}{3}$

$=- \frac{4 \cdot 2+ 1}{2} \cdot \frac{1 \cdot 3 + 1}{3}$

$=- \frac{9}{2} \cdot \frac{4}{3} = - \frac{36}{6} = -6$

$A - B =-4 \frac{1}{2}- 1 \frac{1}{3}$

$=-4 \frac{1}{2} + \left (- 1 \frac{1}{3} \right )$

$=-4 \frac{3}{6} + \left (- 1 \frac{2}{6} \right )$

$=-5\frac{5}{6}$

$A \cdot B < A - B$ ;

$A \cdot B$ is the least of the four and is the correct choice.

Report an Error

Example Question #504 : Concepts

Solve:

$\frac{3}{2}+\frac{1}{3}$

Possible Answers:

$\frac{5}{3}$

$\frac{11}{6}$

$\frac{4}{3}$

Correct answer:

$\frac{11}{6}$

Explanation:

To add fractions, they must have a common denominator.

Both and have as a multiple.

You must multiple the first fraction by to get $\frac{9}{6}$ and the second by to get $\frac{2}{6}$ .

Then you just add the two numerators 9+2=11 to get $\frac{11}{6}$ .

Report an Error

Example Question #212 : Fractions

The lowest common denominator for and is . True or false?

Possible Answers:

True

False

Correct answer:

False

Explanation:

Since is an actual factor of , you can just use as your common denominator which is less than .

Report an Error

Example Question #213 : Fractions

$\frac{5}{9} + \frac{7}{9} =$

Possible Answers:

$1\frac{2}{3}$

$1\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

Correct answer:

$1\frac{1}{3}$

Explanation:

$\frac{5}{9} + \frac{7}{9} =$

These two fractions are like fractions, because they have the same denominator.

Just add the numerators and write the sum over the denominator. Then simplify.

$\frac{5}{9} + \frac{7}{9} = \frac{12}{9}$

$\frac{12}{9} = 1\frac{3}{9} = 1\frac{1}{3}$

Report an Error

Example Question #507 : Concepts

$\frac{4}{5} - (-\frac{3}{5})$

Possible Answers:

$-\frac{1}{5}$

$\frac{1}{5}$

$1\frac{2}{5}$

$-1\frac{2}{5}$

Correct answer:

$1\frac{2}{5}$

Explanation:

$\frac{4}{5} - (-\frac{3}{5})$

When subtracting a negative, the subtraction and negative sign become an addition sign.

$\frac{4}{5} - (-\frac{3}{5}) = \frac{4}{5} + \frac{3}{5}$

$\frac{4}{5} + \frac{3}{5} = \frac{7}{5}$

$\frac{7}{5}$ is an improper fraction because the numerator is greater than the denominator. Therefore, it needs to be simplified. This is done by dividing the numerator by the denominator.

$7\div 5 = 1 \frac{2}{5}$

Report an Error

Example Question #508 : Concepts

Find a-b if

$a = 6\frac{1}{3}$ and

$b=-1\frac{1}{3}$

Possible Answers:

$-7\frac{2}{3}$

$7\frac{2}{3}$

Correct answer:

$7\frac{2}{3}$

Explanation:

Find a-b if

$a = 6\frac{1}{3}$ and

$b=-1\frac{1}{3}$

$6\frac{1}{3} - (-1\frac{1}{3}) = 6\frac{1}{3} + 1\frac{1}{3}$

When subtracting a negative, the sign becomes a plus sign which indicates addition.

$6\frac{1}{3} + 1\frac{1}{3} = (6+1) + \frac{1+1}{3}$

$7\frac{2}{3}$

Report an Error

Example Question #509 : Concepts

$8\frac{1}{10 } - 3\frac{7}{10}$

Possible Answers:

$5\frac{2}{5}$

$4\frac{3}{5}$

$5\frac{3}{5}$

$4\frac{2}{5}$

Correct answer:

$4\frac{2}{5}$

Explanation:

$8\frac{1}{10 } - 3\frac{7}{10}$

Because the numerator of the second mixed number (7) is greater than the numerator of the first mixed number (1) and the operation is subtraction, convert both mixed numbers into improper fractions.

$8\frac{1}{10} = \frac{(10\times 8)+1}{10} = \frac{81}{10}$

$3\frac{7}{10 } = \frac{(10\times 3)+7}{10} = \frac{37}{10}$

$\frac{81}{10} -\frac{37}{10} =\frac{81-37}{10}$

$\frac{44}{10} = 4\frac{4}{10} = 4\frac{2}{5}$

Report an Error

Example Question #510 : Concepts

Find a + b if

a = 5/12 and

$b = -1\frac{1}{12}$

Possible Answers:

$-\frac{2}{3}$

$1\frac{1}{2}$

$1\frac{1}{3}$

$-\frac{3}{4}$

Correct answer:

$-\frac{2}{3}$

Explanation:

Find a + b if

a = 5/12 and

$b = -1\frac{1}{12}$

$\frac{5}{12} + (-1\frac{1}{12})$

Convert the mixed number to an improper fraction.

$\frac{5}{12} + (-\frac{13}{12}) =$

$\frac{5+ (-13)}{12} = \frac{-8}{12}$

Reduce to simplest form by dividing the numerator and the denominator by the GCF or the Greatest Common Factor which is 4.

$\frac{-8\div 4}{12\div 4} = -\frac{2}{3}$

Report an Error

View Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

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

Joseph
Certified Tutor

Brown University, Bachelor of Science, Education.

All HSPT Math Resources

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

Popular Subjects

Reading Tutors in Los Angeles, Physics Tutors in Los Angeles, Calculus Tutors in Dallas Fort Worth, ISEE Tutors in Seattle, Computer Science Tutors in Boston, LSAT Tutors in New York City, Math Tutors in Phoenix, Statistics Tutors in Miami, English Tutors in Boston, Chemistry Tutors in Chicago

Popular Courses & Classes

LSAT Courses & Classes in Los Angeles, SAT Courses & Classes in San Diego, Spanish Courses & Classes in Houston, ACT Courses & Classes in San Diego, SAT Courses & Classes in Atlanta, GMAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Denver, SAT Courses & Classes in Seattle, SAT Courses & Classes in New York City, MCAT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in Phoenix, MCAT Test Prep in San Diego, SAT Test Prep in Atlanta, SSAT Test Prep in Washington DC, SAT Test Prep in Chicago, GRE Test Prep in Washington DC, SAT Test Prep in Philadelphia, SSAT Test Prep in Denver, LSAT Test Prep in Washington DC, ISEE Test Prep in New York City

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 : Arithmetic

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #211 : Fractions

Example Question #502 : Concepts

Example Question #503 : Concepts

Example Question #504 : Concepts

Example Question #212 : Fractions

Example Question #213 : Fractions

Example Question #507 : Concepts

Example Question #508 : Concepts

Example Question #509 : Concepts

Example Question #510 : Concepts

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: