We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math I : Finding Angles

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 : Finding Angles

What angle do the minute and hour hands of a clock form at 4:45?

Possible Answers:

$122\frac{1}{2}^{\circ }$

$137 \frac{1}{2}^{\circ }$

$132\frac{1}{2}^{\circ }$

$117 \frac{1}{2}^{\circ }$

$127 \frac{1}{2}^{\circ }$

Correct answer:

$127 \frac{1}{2}^{\circ }$

Explanation:

There are twelve numbers on a clock; from one to the next, a hand rotates $\left (\frac{360}{12} \right )^{\circ } = 30^{\circ }$ . At 4:45, the minute hand is exactly on the "9" - that is, at the $\left (30 \times 9 \right )^{\circ }= 270^{\circ }$ . The hour hand is three-fourths of the way from the "4" to the "5" - that is, on the $\left (4 \frac{3}{4} \times 30 \right )^{\circ } = 142 \frac{1}{2} ^{\circ }$ position. Therefore, the difference is the angle they make:

$\left (270 - 142 \frac{1}{2} \right ) ^{\circ } = 127 \frac{1}{2}^{\circ }$

Report an Error

Example Question #61 : 2 Dimensional Geometry

What angle do the minute and hour hands of a clock form at 8:50?

Possible Answers:

$35^ {\circ }$

$30^{\circ }$

$55^{\circ }$

$45^{\circ }$

$60^{\circ }$

Correct answer:

$35^ {\circ }$

Explanation:

There are twelve numbers on a clock; from one to the next, a hand rotates $\left (\frac{360}{12} \right )^{\circ } = 30^{\circ }$ . At 8:50, the minute hand is exactly on the "10" - that is, on the $\left (30 \times 10 \right )^{\circ }= 300^{\circ }$ position. The hour hand is five-sixth of the way from the "8" to the "9" - that is, on the $\left (8 \frac{5}{6} \times 30 \right )^{\circ } = 265 ^{\circ }$ position. Therefore, the difference is the angle they make:

$300^{\circ } - 265^{\circ } = 35^{\circ }$ .

Report an Error

Example Question #1 : Finding Angles

Hexagon

Note: Figure NOT drawn to scale.

The above hexagon is regular. What is ?

Possible Answers:

x = 51

x = 66

x = 78

x =72

x = 84

Correct answer:

x = 66

Explanation:

Two of the angles of the quadrilateral formed are angles of a regular hexagon, so each measures

$\frac{180^{\circ } (6-2)}{6}= 120^{\circ }$ .

The four angles of the quadrilateral are $120 ^{\circ }, 120^{\circ } , x^{\circ }, (x - 12)^{\circ }$ . Their sum is $360^{\circ }$ , so we can set up, and solve for in, the equation:

x +(x-12)+ 120 + 120 =360

2x-12+ 120 + 120 =360

2x+228 =360

2x =132

x = 66

Report an Error

Example Question #1 : Finding Angles

Can a triangle have a set of angles that are 90, 46, and degrees?

Possible Answers:

Yes

Correct answer:

Explanation:

A triangle's angles must add up to 180 degrees.

The angles given add up to 181,

(90+46+45=181) .

That means that this cannot be an actual triangle.

Report an Error

Example Question #1 : Finding Angles

If two angles of a triangle are $60^{\circ}$ and $75.5^{\circ}$ , find the measurement of the third angle.

Possible Answers:

$180^{\circ}$

$45^{\circ}$

$44.5^{\circ}$

$45^{\circ}$

Correct answer:

$44.5^{\circ}$

Explanation:

Step 1: Recall the sum of the angles of a triangle...

The sum of the internal angles of a triangle is $180^{\circ}$ .

Step 2: To find the missing angle, subtract the given angles from $180^{\circ}$ ...

$180^{\circ}-60^{\circ}-75.5^{\circ}=44.5^{\circ}$

Report an Error

View SAT Subject Test in Mathematics Level 1 Tutors

Amanda
Certified Tutor

Seattle University, Current Undergrad Student, Applied Mathematics.

View SAT Subject Test in Mathematics Level 1 Tutors

Matthew
Certified Tutor

Rider University, Bachelor of Science, Chemistry. Rutgers University-Camden, Master of Science, Organic Chemistry.

View SAT Subject Test in Mathematics Level 1 Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All SAT II Math I Resources

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

Popular Subjects

LSAT Tutors in Dallas Fort Worth, Math Tutors in Los Angeles, Computer Science Tutors in Phoenix, SSAT Tutors in Seattle, Computer Science Tutors in Denver, Physics Tutors in San Diego, MCAT Tutors in Dallas Fort Worth, SSAT Tutors in Denver, Algebra Tutors in Chicago, Calculus Tutors in Miami

Popular Courses & Classes

LSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Diego, ISEE Courses & Classes in Los Angeles, SAT Courses & Classes in Denver, ISEE Courses & Classes in Chicago, GRE Courses & Classes in Miami, GMAT Courses & Classes in Washington DC, ISEE Courses & Classes in Phoenix, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in Chicago, ACT Test Prep in Los Angeles, MCAT Test Prep in Phoenix, SSAT Test Prep in Boston, MCAT Test Prep in Los Angeles, LSAT Test Prep in Houston, SSAT Test Prep in Denver, ACT Test Prep in Houston, GRE Test Prep in New York City, SAT 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

SAT II Math I : Finding Angles

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

All SAT II Math I Resources

Example Questions

Example Question #1 : Finding Angles

Example Question #61 : 2 Dimensional Geometry

Example Question #1 : Finding Angles

Example Question #1 : Finding Angles

Example Question #1 : Finding Angles

All SAT II Math I Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: