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 #1 : Negative Numbers

Evaluate:

-3.2+7.17

Possible Answers:

-10.37

-7.49

-3.97

6.85

3.97

Correct answer:

3.97

Explanation:

The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the positive number here) affixed:

-3.2+7.17 = +(7.17 - 3.2) = 7.17 - 3.2

Subtract vertically by aligning the decimal points, making sure you append the 3.2 with a placeholder zero:

7.12

$\underline{3.20}$

3.97

This is the correct choice.

Report an Error

Example Question #481 : Arithmetic

Evaluate:

$6 \frac{3}{7}- 4 \frac{1}{7} + 1 \frac{6}{7}$

Possible Answers:

$\frac{3}{7}$

$4 \frac{1}{7}$

$12\frac{3}{7}$

$5 \frac{2}{7}$

$8 \frac{5}{7}$

Correct answer:

$4 \frac{1}{7}$

Explanation:

Rewrite these numbers as improper fractions.

$6 \frac{3}{7}= \frac{6 \cdot 7 + 3}{7}= \frac{45}{7}$

$4 \frac{1}{7}=\frac{4 \cdot 7+ 1}{7} = \frac{29}{7}$

$1 \frac{6}{7} = \frac{1 \cdot 7 + 6}{7} = \frac{13}{7}$

Now evaluate:

$6 \frac{3}{7}- 4 \frac{1}{7} + 1 \frac{6}{7}$

$= \frac{45}{7}- \frac{29}{7}+ \frac{13}{7}$

$= \frac{45-29+13}{7}$

$= \frac{16+13}{7}$

$= \frac{29}{7}$

$29 \div 7 = 4 \textrm{ R }1$ , so

$\frac{29}{7} = 4 \frac{1}{7}$

Report an Error

Example Question #482 : Arithmetic

Add:

$\frac{1}{12}+\frac{4}{3}$

Possible Answers:

$\frac{1}{3}$

$\frac{5}{3}$

$\frac{17}{3}$

$\frac{17}{12}$

$\frac{19}{12}$

Correct answer:

$\frac{17}{12}$

Explanation:

Rewrite using the lowest comon denominator. Since LCM (12, 3) = 12 :

$\frac{1}{12}+\frac{4}{3}$

$= \frac{1}{12}+\frac{4 \times 4}{3 \times 4}$

$= \frac{1}{12}+\frac{16}{12}$

$= \frac{16+1}{12}$

$= \frac{17}{12}$

Report an Error

Example Question #483 : Arithmetic

$\frac{2}{3} + \frac{1}{6}$

Possible Answers:

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{5}{6}$

$\frac{3}{9}$

$\frac{1}{2}$

Correct answer:

$\frac{5}{6}$

Explanation:

When adding fractions, both denominators must be the same. A quick and easy way to do this is to multiply the numerator and the denominator of each fraction by the other fraction's denominator:

$\frac{2}{3} \times \frac{6}{6} = \frac{12}{18}$ and $\frac{1}{6} \times \frac{3}{3} = \frac{3}{18}$

The $\tfrac{2}{3}$ is multiplied by 6 on both ends because the denominator of $\tfrac{1}{6}$ is 6. Likewise, $\tfrac{1}{6}$ is multiplied by 3 on both ends because the denominator of $\tfrac{2}{3}$ is 3. The problem should now look like this:

$\frac{12}{18} + \frac{3}{18} = \frac{15}{18}$

Remember to reduce. 15 and 18 are both divisible by 3.

$\frac{15}{18} = \frac{5}{6}$

Your answer is $\frac{5}{6}$ .

Report an Error

Example Question #484 : Arithmetic

Add the following fractions and simplify, if possible.

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

Possible Answers:

$\frac{5}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{5}{4}$

Explanation:

In order to add fractions with different denominators, first find a common denominator of the fractions by finding the least common multiple. The least common multiple of these denominators is:

4*1=4 and 2 * 2 = 4 .

Because $\frac{3}{4}$ already has the required denominator, nothing needs to be done to $\frac{3}{4}$ .

Since the in $\frac{1}{2}$ needs to be multiplied by in order to get as the deonominator, multiply the numberator of $\frac{1}{2}$ by .

The "new" addition problem is now: $\frac{3}{4}+\frac{2}{4}$ .

The answer to this question is therefore $\frac{5}{4}$ .

Because and do not have a common factor, the answer cannot be simplified.

Report an Error

Example Question #5 : How To Add Fractions

$\frac{7}{12}+\frac{5}{4}=$

Possible Answers:

$\frac{13}{12}$

$\frac{11}{6}$

$\frac{1}{2}$

$\frac{11}{5}$

$\frac{3}{4}$

Correct answer:

$\frac{11}{6}$

Explanation:

To add two fractions, first find the common denominator. We can convert $\frac{5}{4}$ to $\frac{15}{12}$ . $\frac{7}{12}+\frac{15}{12}= \frac{22}{12}$ , which reduces to $\frac{11}{6}$ .

Report an Error

Example Question #485 : Arithmetic

Find $\frac{7}{8}+\frac{3}{2}$ .

Possible Answers:

$\tiny {}\frac{19}{8}$

$\large 11$

$\small \frac{8}{19}$

$\tiny 1$

$\large \frac{9}{1}$

Correct answer:

$\tiny {}\frac{19}{8}$

Explanation:

To add two fractions, first find the common denominator, then add the two numerators.

$\frac{7}{8}+\frac{3}{2}=\frac{7}{8} + \frac{12}{8}$

$\frac{7}{8}+\frac{12}{8} = \frac{19}{8}$

Report an Error

Example Question #2 : Commutative Property Of Addition

Which of the following statements demonstrates the commutative property of addition?

Possible Answers:

None of the examples in the other responses demonstrates the commutative property of addition.

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

$\frac{3}{4} +0 = \frac{3}{4}$

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

Correct answer:

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

Explanation:

The commutative property of addition states that two numbers can be added in either order to obtain the same sum. Of the given responses, only

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

demonstrates this property, so it is the correct choice.

Report an Error

Example Question #4 : Associative Property Of Addition

Which of the following statements demonstrates the associative property of addition?

Possible Answers:

2.5+5= 5+2.5

None of the examples in the other responses demonstrates the associative property of addition.

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

2.5+ (-2.5) = 0

2.5 + 0 = 2.5

Correct answer:

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

Explanation:

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

demonstrates this property, so it is the correct choice.

Report an Error

Example Question #486 : Arithmetic

Which of the following is the sum of sixty-nine tenths, sixty-nine thousandths, and sixty-nine ten-thousandths?

Possible Answers:

7.659

0.7659

6.9759

7.5969

0.69759

Correct answer:

6.9759

Explanation:

Sixty-nine tenths, sixty-nine thousandths, and sixty-nine ten-thousandths can be rewritten as 6.9, 0.069, and 0.0069, respectively. Add, appending zeroes at the end of each number as needed:

$\begin{matrix} &6.9000 \\ & 0.0690\\ +&\underline{0.0069} \\ & 6.9759 \end{matrix}$

Report an Error

View Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

View Tutors

Colton
Certified Tutor

Texas State University-San Marcos, Bachelor of Science, Mathematics.

View Tutors

Yvan
Certified Tutor

Brigham Young University-Provo, Bachelor of Science, Mathematics Teacher Education.

All HSPT Math Resources

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

Popular Subjects

GRE Tutors in Seattle, Chemistry Tutors in Atlanta, ACT Tutors in Seattle, SAT Tutors in Denver, MCAT Tutors in Atlanta, Reading Tutors in Atlanta, Math Tutors in San Diego, ISEE Tutors in Chicago, English Tutors in New York City, GMAT Tutors in Miami

Popular Courses & Classes

SSAT Courses & Classes in Houston, GMAT Courses & Classes in Boston, LSAT Courses & Classes in Boston, Spanish Courses & Classes in Miami, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Phoenix, GMAT Courses & Classes in Phoenix, LSAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Houston, SAT Courses & Classes in Washington DC

Popular Test Prep

SAT Test Prep in Atlanta, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Philadelphia, ISEE Test Prep in New York City, GMAT Test Prep in Houston, MCAT Test Prep in Denver, ISEE Test Prep in Miami, SSAT Test Prep in Philadelphia, MCAT Test Prep in Houston, MCAT Test Prep in Los Angeles

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 #1 : Negative Numbers

Example Question #481 : Arithmetic

Example Question #482 : Arithmetic

Example Question #483 : Arithmetic

Example Question #484 : Arithmetic

Example Question #5 : How To Add Fractions

Example Question #485 : Arithmetic

Example Question #2 : Commutative Property Of Addition

Example Question #4 : Associative Property Of Addition

Example Question #486 : Arithmetic

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: