We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math I : Types of Numbers

Study concepts, example questions & explanations for SAT II Math I

Create An Account

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Number Theory

Express 374 in base six.

Possible Answers:

$1402_{\textrm{six}}$ $\displaystyle 1402_{\textrm{six}}$

$1522_{\textrm{six}}$ $\displaystyle 1522_{\textrm{six}}$

$1502_{\textrm{six}}$ $\displaystyle 1502_{\textrm{six}}$

$1422_{\textrm{six}}$ $\displaystyle 1422_{\textrm{six}}$

Correct answer:

$1422_{\textrm{six}}$ $\displaystyle 1422_{\textrm{six}}$

Explanation:

To convert a base ten number to base six, divide the number by six, with the remainder being the digit in the units place; continue, dividing each successive quotient by 6 and putting the remainder in the next position to the left until the final quotient is less than 6.

$374 \div 6 = 62\textrm{ R }\underline{2}$ $\displaystyle 374 \div 6 = 62\textrm{ R }\underline{2}$ - the rightmost digit is 2

$62 \div 6 = 10 \textrm{ R }\underline{2}$ $\displaystyle 62 \div 6 = 10 \textrm{ R }\underline{2}$ - the next digit to the left is 2

$10 \div 6 = \underline{1} \textrm{ R }\underline{4}$ $\displaystyle 10 \div 6 = \underline{1} \textrm{ R }\underline{4}$ - the next digit to the left is 4, and the digit to the left of that is 1.

$374 = 1422_{\textrm{six}}$ $\displaystyle 374 = 1422_{\textrm{six}}$

Report an Error

Example Question #2 : Number Theory

Express $13241 _{\textrm{five}}$ $\displaystyle 13241 _{\textrm{five}}$ in base ten.

Possible Answers:

1,071 $\displaystyle 1,071$

1,021 $\displaystyle 1,021$

1,121 $\displaystyle 1,121$

921 $\displaystyle 921$

971 $\displaystyle 971$

Correct answer:

1,071 $\displaystyle 1,071$

Explanation:

Place values in the base five system are powers of five rather than powers of ten. $13241 _{\textrm{five}}$ $\displaystyle 13241 _{\textrm{five}}$ is equal to

$1 \times 5^{4} + 3 \times 5 ^{3} + 2 \times 5^{2} + 4 \times 5 + 1$ $\displaystyle 1 \times 5^{4} + 3 \times 5 ^{3} + 2 \times 5^{2} + 4 \times 5 + 1$

$= 1 \times 625 + 3 \times 125 + 2 \times 25 + 4 \times 5 + 1$ $\displaystyle = 1 \times 625 + 3 \times 125 + 2 \times 25 + 4 \times 5 + 1$

$\displaystyle = 625 +375 + 50 + 20 + 1 = 1,071$

Report an Error

Example Question #3 : Types Of Numbers

Which of the following is the smallest prime number:$\displaystyle 8,9,11,13,17$?

Possible Answers:

$\displaystyle 11$

$\displaystyle 8$

$\displaystyle 9$

$\displaystyle 17$

$\displaystyle 13$

Correct answer:

$\displaystyle 11$

Explanation:

A prime number has only two factor, $\displaystyle 1$ and itself.

This is not true for $\displaystyle 8 (2*4=8)$ or $\displaystyle 9 (3*3*=9)$ so they are not the answer.

$\displaystyle 11, 13, 17$ are all prime numbers and $\displaystyle 11$ is the smallest so it is your answer.

Report an Error

Example Question #1 : Number Theory

Which of the following is a rational number?

$\frac{1}{2},\sqrt{5},2i,3.658$ $\displaystyle \frac{1}{2},\sqrt{5},2i,3.658$

Possible Answers:

None

3.658 $\displaystyle 3.658$

$\sqrt{5}$ $\displaystyle \sqrt{5}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle 2i$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

A rational number is any number that can be expressed as an integer p or a fraction p/q. In the set of number given only $\tiny \frac{1}{2}$ $\displaystyle \tiny \frac{1}{2}$ fits into that category.

Report an Error

View SAT Subject Test in Mathematics Level 1 Tutors

Peter
Certified Tutor

Nottingham University UK, Bachelor in Arts, Mathematics.

View SAT Subject Test in Mathematics Level 1 Tutors

Ayesha
Certified Tutor

Florida International University, Bachelor of Science, Mechanical Engineering.

View SAT Subject Test in Mathematics Level 1 Tutors

Kevin
Certified Tutor

Duke University, Bachelor of Science, Economics.

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in Los Angeles, SSAT Tutors in San Diego, French Tutors in Miami, Chemistry Tutors in Miami, GRE Tutors in San Francisco-Bay Area, Calculus Tutors in Seattle, Math Tutors in Dallas Fort Worth, SSAT Tutors in Los Angeles, GRE Tutors in San Diego, MCAT Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in Denver, SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Washington DC, Spanish Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in Seattle, GRE Courses & Classes in Atlanta, Spanish Courses & Classes in San Diego, SSAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in Phoenix, SAT Test Prep in Atlanta, GRE Test Prep in Atlanta, ISEE Test Prep in San Francisco-Bay Area, ACT Test Prep in New York City, SAT Test Prep in Boston, ISEE Test Prep in Los Angeles, SAT Test Prep in Denver, GMAT Test Prep in Phoenix, GRE Test Prep in San Diego

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

SAT II Math I : Types of Numbers

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #1 : Number Theory

Example Question #2 : Number Theory

Example Question #3 : Types Of Numbers

Example Question #1 : Number Theory

All SAT II Math I Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: