We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Multiplicative Inverse Property

Which of the following statements demonstrates the inverse property of multiplication?

Possible Answers:

None of the examples in the other responses demonstrates the inverse property of multiplication.

$\frac{6}{7} \times\frac{1}{4} = \frac{1}{4} \times \frac{6}{7}$

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

$\frac{6}{7} \times \frac{7}{6} = 1$

$\frac{6}{7} \times 1 = \frac{6}{7}$

Correct answer:

$\frac{6}{7} \times \frac{7}{6} = 1$

Explanation:

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Report an Error

Example Question #1011 : Numbers And Operations

Raise $- \frac{3}{2}$ to the fourth power.

Possible Answers:

$\frac{16} {81}$

$- \frac{16}{81}$

$\frac{81}{16}$

$\frac{16}{81}$

Correct answer:

$\frac{81}{16}$

Explanation:

To raise a negative number to an even-numbered power, raise its absolute value to that power. Also, to raise a fraction to a power, raise its numerator and its denominator to that power. Combine these ideas as follows:

$\left (- \frac{3}{2} \right )^{4} = \left( \frac{3}{2}\right )^{4} = \frac{3^{4} }{2^{4} } = \frac{ 3 \times 3\times 3 \times 3 }{ 2 \times 2 \times 2 \times 2 } \right ) = \frac{81}{16}$

Report an Error

Example Question #1011 : Numbers And Operations

Raise $- \frac{2}{3}$ to the fifth power.

Possible Answers:

$\frac{32}{243}$

$\frac{243} {32}$

$- \frac{2}{3}$ cannot be raised to the fifth power.

$-\frac{32}{243}$

$-\frac{243} {32}$

Correct answer:

$-\frac{32}{243}$

Explanation:

To raise a negative number to an odd-numbered power, raise its absolute value to that power, then make the sign negative. Also, to raise a fraction to a power, raise its numerator and its denominator to that power. Combine these ideas as follows:

$\left (- \frac{2}{3} \right )^{5} = - \left ( \frac{2}{3} \right )^{5} = - \left ( \frac{2^{5} }{3^{5} } \right ) = - \left ( \frac{2\times 2 \times 2 \times 2 \times 2 }{3 \times 3 \times 3\times 3 \times 3 } \right ) = -\frac{32}{243}$

Report an Error

Example Question #344 : Arithmetic

Raise to the fifth power.

Possible Answers:

-78,125

-16,807

78,125

16,807

cannot be raised to the fifth power.

Correct answer:

-16,807

Explanation:

To raise a negative number to an odd-numbered power, raise its absolute value to that power, then make the sign negative:

$\left ( -7\right )^{5} = - \left ( 7^{5}\right ) = -(7 \times 7 \times 7 \times 7 \times 7) = - 16,807$

Report an Error

Example Question #345 : Arithmetic

One euro is worth approximately $1.27. For how much American money can a French tourist expect to exchange 800 euros?

Possible Answers:

$\$62.99$

$\$1,016$

The correct answer is not given among the other choices.

$\$629.92$

$\$10,160$

Correct answer:

$\$1,016$

Explanation:

One Euro is equivalent to $1.27, so multiply the number of euros - 800 - by this conversion factor.

$\$1.27 \times 800 = \$ 1,016$

Report an Error

Example Question #1676 : Ssat Middle Level Quantitative (Math)

Evaluate:

$\left (20 - 7.5 \right )\times 3 - 1.2$

Possible Answers:

36.3

- 3.7

-1.3

6.5

22.5

Correct answer:

36.3

Explanation:

By the order of operations, carry out the operation in parentheses, which is the leftmost subtraction, then the multiplication, then the rightmost subtraction:

$\left (20 - 7.5 \right )\times 3 - 1.2$

$= 12.5 \times 3 - 1.2$

= 37.5 - 1.2

= 36.3

Report an Error

Example Question #1016 : Numbers And Operations

Evaluate:

$20 - 7.5 \times\left ( 3 - 1.2 \right )$

Possible Answers:

-1.3

22.5

36.3

- 3.7

6.5

Correct answer:

6.5

Explanation:

By the order of operations, carry out the operation in parentheses, which is the rightmost subtraction, then the multiplication, then the leftmost subtraction:

$20 - 7.5 \times\left ( 3 - 1.2 \right )$

$= 20 - 7.5 \times 1.8$

= 20 - 13.5

= 6.5

Report an Error

Example Question #3 : Multiplicative Identity Property

Which of the following statements demonstrates the identity property of multiplication?

Possible Answers:

None of the examples in the other responses demonstrates the identity property of multiplication.

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

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

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

$\left (\frac{2}{3} \times \frac{5}{7} \right ) \times \frac{6}{11} = \frac{2}{3} \times\left ( \frac{5}{7} \times \frac{6}{11} \right )$

Correct answer:

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

Explanation:

The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,

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

demonstrates this property.

Report an Error

Example Question #1012 : Numbers And Operations

Evaluate:

$20.1 \cdot (-20.3)$

Possible Answers:

-408.3

-408.03

-480.3

-40.803

-40.83

Correct answer:

-408.03

Explanation:

The product of two numbers of unlike sign is the (negative) opposite of the product of their absolute values.

$20.1 \cdot (-20.3) = - \left (20.1 \cdot 20.3 \right )$

There are a total of two digits to the right of the two decimal points. Therefore, the product can be calculated by multiplying 201 by 203, then placing the decimal point so that there are three digits at right.

$201 \cdot 203 = 40,803 \Rightarrow 20.1 \cdot 20.3 = 408.03$

Since we need to affix a negative symbol in front, the answer is -408.03

Report an Error

Example Question #1013 : Numbers And Operations

$\small \frac{6}{7}\times\frac{1}{2}$

Possible Answers:

$\small \frac{1}{2}$

$\small \frac{2}{3}$

$\small \frac{3}{7}$

$\small \frac{2}{7}$

$\small \frac{1}{5}$

Correct answer:

$\small \frac{3}{7}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{6}{7}\times\frac{1}{2}=\frac{6}{14}$

$\small \frac{6}{14}$ can be reduced by dividing both sides by $\small 2$

$\small \small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}$

Report an Error

View SSAT- Middle Level Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View SSAT- Middle Level Tutors

Kara
Certified Tutor

University of Central Missouri, Bachelor of Science, Science Teacher Education. University of Central Missouri, Certificate, ...

View SSAT- Middle Level Tutors

Benjamin
Certified Tutor

Goddard College, Bachelor in Arts, English Composition. Goddard College, Master of Arts, Writing, General.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in New York City, Chemistry Tutors in Houston, Physics Tutors in Washington DC, Biology Tutors in New York City, LSAT Tutors in Chicago, Statistics Tutors in Atlanta, Physics Tutors in Denver, Statistics Tutors in Phoenix, Chemistry Tutors in Dallas Fort Worth, GRE Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Denver, GRE Courses & Classes in Philadelphia, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Denver, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Seattle, Spanish Courses & Classes in Boston, ACT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in New York City, GRE Test Prep in Atlanta, GRE Test Prep in San Francisco-Bay Area, GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Seattle, GRE Test Prep in Houston, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Phoenix, GRE 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

SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Multiplicative Inverse Property

Example Question #1011 : Numbers And Operations

Example Question #1011 : Numbers And Operations

Example Question #344 : Arithmetic

Example Question #345 : Arithmetic

Example Question #1676 : Ssat Middle Level Quantitative (Math)

Example Question #1016 : Numbers And Operations

Example Question #3 : Multiplicative Identity Property

Example Question #1012 : Numbers And Operations

Example Question #1013 : Numbers And Operations

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: