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 #371 : Arithmetic

$\frac{1}{2}\div\frac{3}{8}=$

Possible Answers:

$\frac{3}{4}$

$\frac{3}{16}$

$5\tfrac{1}{3}$

$\frac{1}{2}$

$1\tfrac{1}{3}$

Correct answer:

$1\tfrac{1}{3}$

Explanation:

When dividing fractions, first find the reciprocal of the second fraction and change the problem to multiplication:

$\frac{1}{2}\div\frac{3}{8}\rightarrow\frac{1}{2}\times\frac{8}{3}$

You then treat the problem like any other multiplication problem and multiply straight across.

$\frac{1}{2}\times\frac{8}{3}=\frac{8}{6}$

Since the numerator is larger than the denominator, we know our answer will be greater than 1.

$\frac{8}{6} \rightarrow 1\tfrac{2}{6}$

6 divides into 8 one time, with 2 remaining. The 2 remains on top of the 6 as the numerator. This answer can still be reduced; however, as 2 and 6 are both evenly divisible by 2.

$1\tfrac{2}{6}\rightarrow1\tfrac{1}{3}$

Your final answer is $1\tfrac{1}{3}$

Report an Error

Example Question #372 : Arithmetic

$\dpi{100} \frac{\frac{1}{2}\times \frac{1}{3}}{\frac{1}{9}}=$

Possible Answers:

$\dpi{100} \frac{1}{9}$

$\dpi{100} \frac{2}{3}$

$\dpi{100} \frac{1}{54}$

$\dpi{100} \frac{3}{2}$

Correct answer:

$\dpi{100} \frac{3}{2}$

Explanation:

First multiply the fraction in the numerator.

$\dpi{100} \frac{1}{2}\times \frac{1}{3}=\frac{1\times 1}{2\times 3}=\frac{1}{6}$

Now we have $\dpi{100} \frac{\frac{1}{6}}{\frac{1}{9}}$

Never divide fractions. We multiply the numerator by the reciprocal of the denominator.

$\dpi{100} \frac{\frac{1}{6}}{\frac{1}{9}}=\frac{1}{6}\div \frac{1}{9}=\frac{1}{6}\times \frac{9}{1}=\frac{1\times 9}{6\times 1}=\frac{9}{6}=\frac{3}{2}$

Report an Error

Example Question #373 : Arithmetic

Which of these expressions is the greatest?

Possible Answers:

Twenty percent of one fourth

Twenty-five percent of one fifth

One fourth of 0.2

All of these expressions are equivalent

One fifth of 0.25

Correct answer:

All of these expressions are equivalent

Explanation:

The easiest way to see that all four are equivalent is to convert each to a decimal product, noting that twenty percent and one-fifth are equal to 0.2 , and twenty-five percent and one fourth are equal to 0.25 .

One fourth of 0.2: $\frac{1}{4}*0.2=\frac{1}{4}*\frac{2}{10}=\frac{2}{40}=\frac{1}{20}$

One fifth of 0.25: $\frac{1}{5}*0.25=\frac{1}{5}*\frac{25}{100}=\frac{25}{500}=\frac{5}{100}=\frac{1}{20}$

Twenty-five percent of one fifth: $*\frac{1}{5}=\frac{25}{100}*\frac{1}{5}=\frac{25}{500}=\frac{1}{20}$

Twenty percent of one fourth: $*\frac{1}{4}=\frac{20}{100}*\frac{1}{4}=\frac{20}{400}=\frac{1}{20}$

Report an Error

Example Question #1162 : Ssat Middle Level Quantitative (Math)

How many times does $\frac{1}{4}$ go into $\frac{3}{4}$ ?

Possible Answers:

121

Correct answer:

Explanation:

This problem can be solved by dividing $\frac{3}{4}$ by $\frac{1}{4}$ . First, simplify $\frac{3}{4}$ into $\frac{67}{4}$ , then divide by $\frac{1}{4}$ .

Report an Error

Example Question #373 : Concepts

Solve: $\frac{3}{\frac{1}{9}+1}$

Possible Answers:

$\frac{27}{10}$

$\frac{10}{3}$

$\frac{17}{10}$

$\frac{4}{3}$

Correct answer:

$\frac{27}{10}$

Explanation:

Add the terms in denominator: $\frac{3}{\frac{1}{9}+1}$

$\frac{3}{\frac{1}{9}+1} = \frac{3}{\frac{1}{9}+\frac{9}{9}} = \frac{3}{\frac{10}{9}}$

Simplify the complex fraction.

$\frac{3}{\frac{10}{9}}= 3\div \frac{10}{9} = 3 \times \frac{9}{10} = \frac{27}{10}$

Report an Error

Example Question #374 : Arithmetic

Which of the following is true of $\frac{17}{37}$ ?

Possible Answers:

$0.46<\frac{17}{37}< 0.47$

$0.48<\frac{17}{37}< 0.49$

$0.45 <\frac{17}{37}< 0.46$

$0.47<\frac{17}{37}< 0.48$

Correct answer:

$0.45 <\frac{17}{37}< 0.46$

Explanation:

Divide 17 by 37:

Division

The quotient falls between 0.45 and 0.46, so

$0.45 <\frac{17}{37}< 0.46$ .

Report an Error

Example Question #375 : Arithmetic

$\frac{3}{7}$ is the square root of what number?

Possible Answers:

$\frac{9}{7}$

$\frac{6}{7}$

$\frac{9}{49}$

$\frac{3}{14}$

Correct answer:

$\frac{9}{49}$

Explanation:

The square root of a number is the number which, when squared - multiplied by itself - yields that number as its result. Therefore, $\frac{3}{7}$ is the square root of

$\frac{3}{7} \times \frac{3}{7} = \frac{3 \times 3 }{7 \times 7} = \frac{9}{49}$

Report an Error

Example Question #83 : Fractions

Define an operation $\bigstar$ on the real numbers as follows:

$a \bigstar b = \frac{a-1}{b-2}$

Which of the following is an undefined quantity?

Possible Answers:

$3 \bigstar 0$

$2 \bigstar 1$

$1 \bigstar 4$

$3 \bigstar 2$

Correct answer:

$3 \bigstar 2$

Explanation:

$a \bigstar b = \frac{a-1}{b-2}$ ; since the divisor in a division expression cannot be equal to 0, it cannot hold that

b - 2 =0 , or

b= 2 .

In other words, $a \bigstar b$ is undefined if and only if b= 2 .

The only choice in which this holds is $3 \bigstar 2$ .

Report an Error

Example Question #376 : Arithmetic

Which of the following is the square root of 0.36?

Possible Answers:

$\frac{18}{25}$

$\frac{9}{50}$

$\frac{3}{50}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

$0.36 = \frac{36}{100} = \frac{36 \div 4}{100 \div 4} = \frac{9}{25}$

The square root of 0.36 is therefore the square root of $\frac{9}{25}$ . The square root of a fraction whose numerator and denominator are both perfect squares can be found as follows:

$\sqrt{\frac{9}{25} } = \frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}$

Report an Error

Example Question #377 : Arithmetic

Solve:

$\frac{4}{5}*\frac{8}{7}$

Possible Answers:

$\frac{34}{35}$

$\frac{5}{6}$

$\frac{6}{7}$

$\frac{32}{35}$

Correct answer:

$\frac{32}{35}$

Explanation:

To multiple fractions, you just multiply the numerators together and the denominators together.

This gives you

4*8=32 as a numerator

and

5*7=35 as a denominator.

Your final answer would be $\frac{32}{35}$ .

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

ACT Tutors in San Francisco-Bay Area, Physics Tutors in Miami, Physics Tutors in Boston, GMAT Tutors in Atlanta, SAT Tutors in New York City, English Tutors in San Diego, English Tutors in New York City, SAT Tutors in Seattle, ACT Tutors in Houston, Computer Science Tutors in Dallas Fort Worth

Popular Courses & Classes

MCAT Courses & Classes in New York City, ISEE Courses & Classes in San Diego, MCAT Courses & Classes in Washington DC, GRE Courses & Classes in Denver, SAT Courses & Classes in Boston, SAT Courses & Classes in Chicago, GRE Courses & Classes in Boston, GRE Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in San Diego, ISEE Courses & Classes in Los Angeles

Popular Test Prep

GRE Test Prep in Denver, ISEE Test Prep in Philadelphia, LSAT Test Prep in Boston, ISEE Test Prep in Dallas Fort Worth, ISEE Test Prep in Los Angeles, SAT Test Prep in Washington DC, ISEE Test Prep in Washington DC, SSAT Test Prep in Phoenix, SAT Test Prep in San Francisco-Bay Area, 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 #371 : Arithmetic

Example Question #372 : Arithmetic

Example Question #373 : Arithmetic

Example Question #1162 : Ssat Middle Level Quantitative (Math)

Example Question #373 : Concepts

Example Question #374 : Arithmetic

Example Question #375 : Arithmetic

Example Question #83 : Fractions

Example Question #376 : Arithmetic

Example Question #377 : Arithmetic

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: