Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Number Concepts and Operations

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

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : Basic Addition, Subtraction, Multiplication And Division

$Solve: 7+(3-9)^{2}+36\div 4$

Possible Answers:

$\frac{7}{4}$

$\frac{49}{4}$

$\frac{79}{4}$

Correct answer:

Explanation:

Use order of operations, so you would first complete the operation in the parentheses, which would give you .

Then you do exponenets, so $\left ( -6\right)^{2} = 36$ .

Then you do division which is $36\div4 = 9$ .

Then you do addition from left to right, so 7+36 = 43 .

Last, you add to , which is .

Report an Error

Example Question #4 : Basic Addition, Subtraction, Multiplication And Division

Simplify: a+2a+3+9a+6

Possible Answers:

12a+9

11a+9

3a+18

20+a

21a

Correct answer:

12a+9

Explanation:

To simplify this expression, regroup and combine like-terms.

a+2a+3+9a+6= (a+2a+9a)+(3+6)

(a+2a+9a)+(3+6)= 12a+9

Report an Error

Example Question #1 : How To Subtract

$\dpi{100} 4593-1296=$

Possible Answers:

$\dpi{100} 3497$

$\dpi{100} 3397$

$\dpi{100} 3297$

$\dpi{100} 497$

Correct answer:

$\dpi{100} 3297$

Explanation:

Subtract the two numbers, being careful not to forget to remove the borrowed number.

You can also add the solution back to 1296 to check your work, as addition is easier than subtraction.

$\dpi{100} 1296+3297=4593$

Report an Error

Example Question #2 : How To Subtract

$\dpi{100} 4.8-\frac{9}{2}$

Possible Answers:

$\dpi{100} 0.3$

$\dpi{100} \frac{5}{2}$

$\dpi{100} -5.2$

$\dpi{100} 2$

Correct answer:

$\dpi{100} 0.3$

Explanation:

First convert $\dpi{100} \frac{9}{2}$ into a decimal.

$\dpi{100} 9\div 2=4\ remainder\ of\ 1$

So we are left with $\dpi{100} 4\frac{1}{2}$ , which is 4.5 in decimal form.

Now subtract:

$\dpi{100} 4.8-4.5=0.3$

Report an Error

Example Question #3 : How To Subtract

Subtract $\left ( 2a-3b+7c\right )$ from $\left ( 5a-4b-3c\right )$

Possible Answers:

-3a+b+10c

7a+b+4c

3a-7b+4c

7a-7b+4c

3a-b-10c

Correct answer:

3a-b-10c

Explanation:

You set up the expression with $\left ( 5a-4b-3c\right )$ on the top and $\left ( 2a-3b+7c\right )$ on the bottom. Because this is subtraction, remember to distribute the negative sign to the expression on the bottom, and then add, so

you get 3a-b-10c .

Report an Error

Example Question #21 : Number Concepts And Operations

and are prime integers. 65 < K < 75 and 45 < L < 55 .

How many possible values of K - L are there?

Possible Answers:

Four

Eight

Seven

Six

Five

Correct answer:

Five

Explanation:

The prime integers between 65 and 75 are 67, 71, and 73, so assumes one of those values; the prime integers between 45 and 55 are 47 and 53, so assumes one of those values. Therefore, one of the following holds true:

K - L = 73 - 53 = 20

K - L = 73 - 47 = 26

K - L = 71 - 53 = 18

K - L = 71 - 47 = 24

K - L = 67 - 53 = 14

K - L = 67 - 47 = 20

There are five possible values for K - L (20 appears twice here).

Report an Error

Example Question #5 : How To Subtract

and are prime integers. 55< K < 65 and 85 < L < 95 . What is the greatest possible value of L - K ?

Possible Answers:

Correct answer:

Explanation:

The greatest possible value of L - K is the least possible value of subtracted from the greatest possible value of . The least prime between 55 and 65 is 59, and the greatest prime between 85 and 95 is 89, so L = 89 and K = 59 give the greatest possible value of L - K , which is equal to 89-59 = 30

Report an Error

Example Question #22 : Number Concepts And Operations

Define an operation $\Upsilon$ as follows:

For all real numbers a, b ,

$a \Upsilon b = a^{5} - b^{4}$ .

Evaluate: $\frac{1}{2}\; \Upsilon\; \frac{1}{2}$ .

Possible Answers:

$-\frac{1}{32}$

$-\frac{1}{16}$

$\frac{1}{16}$

$\frac{1}{32}$

Correct answer:

$-\frac{1}{32}$

Explanation:

$a \Upsilon b = a^{5} - b^{4}$

$\frac{1}{2}\; \Upsilon\; \frac{1}{2} =\left ( \frac{1}{2} \right )^{5} - \left ( \frac {1}{2} \right )^{4}$

$= \frac{1}{32} - \frac{1}{16}$

$= \frac{1}{32} - \frac{2}{32}$

$= -\frac{1}{32}$

Report an Error

Example Question #7 : How To Subtract

Define a function as follows:

$g(x)=\left | x^{2} - \frac{1}{x^{2}}\right |$

Evaluate $g(2) - g \left ( \frac{1}{2} \right )$ .

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

$7\frac{1}{2}$

$-7\frac{1}{2}$

Correct answer:

Explanation:

$g(x)=\left | x^{2} - \frac{1}{x^{2}}\right |$

$g(2)=\left | 2^{2} - \frac{1}{2^{2}}\right | = \left | 4- \frac{1}{4}\right | = \left | 3 \frac{3}{4}\right |= 3 \frac{3}{4}$

$g\left ( \frac{1}{2} \right )=\left | \left ( \frac{1}{2} \right )^{2} - \frac{1}{\left ( \frac{1}{2} \right )^{2}}\right | = \left | \frac{1}{4}- \frac{1}{ \frac{1}{4}} \right | = \left | 3 \frac{3}{4}\right | = \left | \frac{1}{4}- 4 \right | = \left | - 3 \frac{3}{4} \right | = 3 \frac{3}{4}$

$g(2) - g \left ( \frac{1}{2} \right ) = 3 \frac{3}{4} - 3 \frac{3}{4} = 0$

Report an Error

Example Question #6 : How To Subtract

Define an operation $\forall$ as follows:

For all real numbers a ,b :

$a \forall b = a^{4} + \frac{1}{b^{4}}$ .

Evaluate $\frac{1}{2} \forall (-2 )$ .

Possible Answers:

The correct answer is not among the other responses.

$-15\frac{15}{16}$

$\frac{1}{8}$

$16\frac{1}{16}$

Correct answer:

$\frac{1}{8}$

Explanation:

$a \forall b = a^{4} + \frac{1}{b^{4}}$

$\frac{1}{2} \forall (-2 ) = \left (\frac{1}{2} \right )^{4} + \frac{1}{(-2)^{4}}= \frac{1}{16} + \frac{1}{16} = \frac{2}{16} = \frac{1}{8}$

Report an Error

View SSAT- Upper Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

View SSAT- Upper Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Upper Level Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Miami, LSAT Tutors in Houston, Computer Science Tutors in Chicago, French Tutors in Phoenix, SAT Tutors in Denver, GMAT Tutors in New York City, Calculus Tutors in Los Angeles, MCAT Tutors in San Francisco-Bay Area, Biology Tutors in San Francisco-Bay Area, Computer Science Tutors in Philadelphia

Popular Courses & Classes

ACT Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, MCAT Courses & Classes in San Diego, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Boston, SAT Courses & Classes in San Diego, LSAT Courses & Classes in New York City, LSAT Courses & Classes in Denver, SSAT Courses & Classes in Houston, Spanish Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in Houston, SSAT Test Prep in Miami, SSAT Test Prep in Phoenix, GMAT Test Prep in Boston, SAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Atlanta, SSAT Test Prep in Chicago, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Washington DC, GMAT Test Prep in Washington DC

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 Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #5 : Basic Addition, Subtraction, Multiplication And Division

Example Question #4 : Basic Addition, Subtraction, Multiplication And Division

Example Question #1 : How To Subtract

Example Question #2 : How To Subtract

Example Question #3 : How To Subtract

Example Question #21 : Number Concepts And Operations

Example Question #5 : How To Subtract

Example Question #22 : Number Concepts And Operations

Example Question #7 : How To Subtract

Example Question #6 : How To Subtract

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: