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 #381 : Arithmetic

$A = 7\frac{1}{2} \times 5 \frac{2}{3}$

Which of the following is true of ?

Possible Answers:

44 < A < 45

42 < A < 43

45 < A < 46

43 < A < 44

Correct answer:

42 < A < 43

Explanation:

$A = 7\frac{1}{2} \times 5 \frac{2}{3}$

$= \frac{7 \times 2+ 1}{2} \times \frac{5 \times 3 + 2}{3}$

$= \frac{15}{2} \times \frac{17}{3}$

$= \frac{255}{6}$

Since $255 \div 6 = 42 \textup{ R }3$ ,

$42 < \frac{255}{6} < 43$

The correct choice is

42 < A < 43 .

Report an Error

Example Question #976 : Hspt Mathematics

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

Which of the following is the greatest number?

Possible Answers:

-3 - A

$-3 \cdot A$

$-3 \div A$

-3+A

Correct answer:

$-3 \cdot A$

Explanation:

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

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

$-3 \cdot A= -3 \cdot \left ( -\frac{4}{3} \right ) = 3 \cdot \frac{4}{3} = 4$

$-3 \div A = -3 \div \left ( -\frac{4}{3} \right ) = 3 \div \frac{4}{3} = 3 \cdot \frac{3}{4} = \frac{9}{4} = 2 \frac{1}{4}$ .

The correct response is $-3 \cdot A$ .

Report an Error

Example Question #92 : Fractions

Solve this problem:

$\frac{2}{9}*\frac{3}{7}$

Possible Answers:

$\frac{1}{10}$

$\frac{5}{16}$

$\frac{2}{21}$

$\frac{14}{27}$

Correct answer:

$\frac{2}{21}$

Explanation:

To multiple fractions, you just have to multiple across.

First multiple the numerators

(2*3=6) .

Then do the same for the denominators

(9*7=63) .

This means the final answer after simplifying is

$\frac{6}{63}=\frac{2\cdot 3}{21\cdot 3}=\frac{2}{21}$ .

Report an Error

Example Question #383 : Arithmetic

$\frac{7}{8} \div \frac{3}{4}$

Possible Answers:

$\frac{3}{7}$

$\frac{21}{32}$

$1\frac{1}{6}$

$1\frac{1}{2}$

Correct answer:

$1\frac{1}{6}$

Explanation:

$\frac{7}{8} \div \frac{3}{4}$

To divide a fraction, multiply by it's multiplicative inverse, or reciprocal.

The multiplicative inverse or the reciprocal is for the fraction that comes after the division sign. The division sign will then change to a multiplication sign.

The multiplicative inverse or the reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$ .

$\frac{7}{8\ }\times \frac{4}{3} = \frac{28}{24}$

$\frac{28}{24} = 1 \frac{4}{24}$

Reduce to simplest form by dividing the numerator and the denominator by the Greatest Common Factor of 4 and 24, which is 4.

$4\div4 =1$

$24\div4=6$

$1\frac{4}{24} = 1\frac{1}{6}$

Report an Error

Example Question #979 : Hspt Mathematics

$\frac{3}{4} \div 6$

Possible Answers:

$2\frac{1}{2}$

$\frac{1}{8}$

$\frac{1}{2}$

$4\frac{1}{2}$

Correct answer:

$\frac{1}{8}$

Explanation:

$\frac{3}{4} \div 6$

To divide a fraction, multiply by it's multiplicative inverse, or reciprocal.

The multiplicative inverse or the reciprocal is for the fraction that comes after the division sign. The division sign will then change to a multiplication sign.

The multiplicative inverse or the reciprocal of $\frac{6}{1}$ is $\frac{1}{6}$ .

$\frac{3}{4} \times \frac{1}{6} = \frac{3}{24}$

Reduce to simplest form by dividing the numerator and the denominator by the Greatest Common Factor of 3 and 24, which is 3.

$\frac{3}{24} = \frac{1}{8}$

Report an Error

Example Question #384 : Arithmetic

$-\frac{3}{8} \div \frac{9}{10}$

Possible Answers:

$\frac{5}{12}$

$-\frac{5}{12}$

$-\frac{27}{80}$

$\frac{27}{80}$

Correct answer:

$-\frac{5}{12}$

Explanation:

$-\frac{3}{8} \div \frac{9}{10}$

To divide fractions, take the multiplicative inverse or reciprocal of the fraction that comes after the division sign and then change the division sign to a multiplication sign and multiply.

The multiplicative inverse of $\frac{9}{10} = \frac{10}{9}$ .

$-\frac{3}{8} \times \frac{10}{9 } = -\frac{30}{72}$ (A negative times a positive is a negative.)

Reduce to simplest form by dividing the numerator and the denominator by the Greatest Common Factor of 30 and 72, which is 6.

$-\frac{30\div 6}{72\div 6} = -\frac{5}{12}$

Report an Error

Example Question #385 : Arithmetic

$-3\frac{1}{4} \div 8\frac{2}{3}$

Possible Answers:

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

$-\frac{3}{8}$

$1\frac{3}{8}$

$\frac{3}{8}$

Correct answer:

$-\frac{3}{8}$

Explanation:

$-3\frac{1}{4} \div 8\frac{2}{3}$

To divide a fraction, take the multiplicative inverse or reciprocal of the fraction that comes after the division sign, change the division sign to a multiplication sign and then multiply.

Change all mixed numbers to improper fractions:

$-3\frac{1}{4}=-\frac{(4\times3 )+1}{4} = -\frac{13}{4}$

$8\frac{2}{3} =\frac{(3\times 8)+2}{3} = \frac{26}{3}$

The multiplicative inverse or reciprocal of $\frac{26}{3} = \frac{3}{26}$

$-\frac{13}{4} \times \frac{3}{26} = -\frac{39}{104}$ A negative times a positive is a negative.

Reduce to simplest form by dividing the numerator and the denominator by the Greatest Common Factor of 39 and 104, which is 12.

$-\frac{39\div 3}{104\div 3} = -\frac{3}{8}$

Report an Error

Example Question #386 : Arithmetic

Evaluate $x\div y$ if $x = -\frac{5}{12}$ and $y = \frac{5}{8}$

Possible Answers:

$\frac{2}{3}$

$-\frac{2}{3}$

$\frac{3}{8}$

$-\frac{5}{8}$

Correct answer:

$-\frac{2}{3}$

Explanation:

$-\frac{5}{12} \div\frac{5}{8}$

To divide fractions, take the multiplicative inverse or the reciprocal of the fraction that comes after the division sign. Change the sign to multiplication and then multiply.

The multiplicative inverse or the reciprocal of $\frac{5}{8 } =\frac{8}{5}$ .

$-\frac{5}{12} \times \frac{8}{5} = -\frac{40}{60}$ A negative time a positive is a negative.

Reduce to simplest form by dividing the numerator and the denominator by the Greatest Common Factor of 40 and 60, which is 20.

$-\frac{40\div 20}{60\div 20} =-\frac{2}{3}$

Report an Error

Example Question #387 : Arithmetic

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

Possible Answers:

$3\frac{4}{5}$

$3\frac{1}{3}$

$3\frac{1}{5}$

$3\frac{1}{2}$

Correct answer:

$3\frac{1}{3}$

Explanation:

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

Convert both the whole number and the mixed number to improper fractions.

$5 = \frac{5}{1}$

$1\frac{1}{2} = \frac{(2\times 1)+1}{2} = \frac{3}{2}$

$\frac{5}{1} \div\frac{3}{2}$

To divide fractions, take the multiplicative inverse or the reciprocal of the fraction that comes after the division sign, change the division sign to a multiplication sign, and then multiply.

$\frac{5}{1} \times \frac{2}{3} = \frac{10}{3}$

$\frac{10}{3} = 3\frac{1}{3}$

Report an Error

Example Question #984 : Hspt Mathematics

Mary is making banners. She bought a roll of material that is 20 feet. Each small banner is 6 inches in length. How many banners can she make with the material that she bought?

Possible Answers:

banners

120 banners

banners

Correct answer:

banners

Explanation:

Since there are 12 inches in a foot and the banners are 6 inches, that would be $\frac{1}{2}$ of a foot.

To solve this problem, divide the total number of feet, which is 20, by $\frac{1}{2}$ .

$\frac{20}{1} \div \frac{1}{2}$

To divide fractions, change the fraction that comes after the division sign to its multiplicative inverse or reciprocal; then change the sign to a multiplication sign and multiply.

The multiplicative inverse or the reciprocal of $\frac{1}{2} = \frac{2}{1}$ .

$\frac{20}{1} \times\frac{2}{1} = \frac{40}{1} = 40$

Mary will be able to make banners with the material that she had purchased.

Report an Error

View Tutors

Sharon
Certified Tutor

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

View Tutors

Magdy
Certified Tutor

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

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

SSAT Tutors in Atlanta, French Tutors in Washington DC, Physics Tutors in New York City, English Tutors in Denver, MCAT Tutors in Los Angeles, SSAT Tutors in Dallas Fort Worth, GMAT Tutors in Miami, Algebra Tutors in New York City, Algebra Tutors in Chicago, SSAT Tutors in Boston

Popular Courses & Classes

Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in Washington DC, ISEE Courses & Classes in Boston, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in Houston, LSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Miami, GMAT Courses & Classes in San Diego, SSAT Courses & Classes in Washington DC, ACT Courses & Classes in Houston

Popular Test Prep

ISEE Test Prep in Seattle, MCAT Test Prep in Boston, GRE Test Prep in Phoenix, GRE Test Prep in New York City, SSAT Test Prep in Seattle, MCAT Test Prep in Miami, ACT Test Prep in Houston, SSAT Test Prep in Philadelphia, MCAT Test Prep in Phoenix, LSAT Test Prep in Boston

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 #381 : Arithmetic

Example Question #976 : Hspt Mathematics

Example Question #92 : Fractions

Example Question #383 : Arithmetic

Example Question #979 : Hspt Mathematics

Example Question #384 : Arithmetic

Example Question #385 : Arithmetic

Example Question #386 : Arithmetic

Example Question #387 : Arithmetic

Example Question #984 : Hspt Mathematics

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: