art of problem solving amc 8 2022

2022 AMC 8 Problems/Problem 3

• 2 Solution 1
• 3 Solution 2
• 4 Video Solution 1 by Math-X (First understand the problem!!!)
• 5 Video Solution 2 (CREATIVE THINKING!!!)
• 6 Video Solution 3
• 7 Video Solution 4
• 8 Video Solution 5
• 9 Video Solution 6
• 10 See Also

~MRENTHUSIASM

~MathFun1000

Video Solution 1 by Math-X (First understand the problem!!!)

https://youtu.be/oUEa7AjMF2A?si=tkBYOey2NioTPPPq&t=221

Video Solution 2 (CREATIVE THINKING!!!)

https://youtu.be/5-6zj2mBBSA

~Education, the Study of Everything

Video Solution 3

https://www.youtube.com/watch?v=Ij9pAy6tQSg&t=142

~Interstigation

Video Solution 4

https://youtu.be/LHnC_Wz6fOU

~savannahsolver

Video Solution 5

https://youtu.be/Q0R6dnIO95Y?t=98

~STEMbreezy

Video Solution 6

https://www.youtube.com/watch?v=KkZ95iNlFyc

~harungurcan

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Information overview, what is the amc 8.

The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.

The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition, some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.

The AMC 8 is also available in French, Spanish, large print, and braille for print administration only.

Registration Deadlines and Competition Date

• Early Bird Registration Deadline: Aug 18 - Oct 16, 2023
• Regular Registration Deadline: Oct 17 - Dec 18, 2023
• Late Registration Deadline: Dec 19, 2023 - Jan 11, 2024
• Competition Date: January 18, 2024 at 8:00 AM ET through January 24, 2024 at 11:59 PM ET

*This option is only available to schools located within the continental United States.

Resources For Hosting the AMC 8

Download and read the AMC 8 Teacher’s Manual for more details about how to host an AMC 8 competition.

   2023-2024 AMC 8 Teacher's Manual (PDF)   

Competition managers can find all additional forms needed below or on  amc-reg.maa.org .

• Registration and Administration Deadlines
• Hosting MAA Competitions Guide : Expands on the Teacher's Manual for Competition Managers who desire additional details.
• AMC 8 Registration Form

AMC 8 Additional Bundles Form : Used by Competition Managers who need to add test bundle orders to an order they have already placed 

2023 Letter to Parents 

STATISTICS FOR THE 2023 AMC 8

For 2023, we are hosting our statistics through our new platform. Find the report for the AMC 8 below. Please note that for student privacy, we have amended the information we publicly provide in these statistics.

   SUMMARY STATISTICS    

Preparing Your Students for the AMC 8

These resources will help you prepare your students for the types of questions found on the AMC 8 exam.

AMC 8 Practice Problems

Curriculum Inspirations Videos and essays for your classroom

AMC Preparation Materials for Purchase

Rescore Request Form

After reviewing the Teacher’s Manual and the above resources, please see our Frequently Asked Questions below if you still have questions.

FAQs for the AMC 8

Q. What's covered on the AMC 8?

A.  The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition, some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.

Q. Who is eligible to participate in the competition ?

A.  Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8.

Q. Who can proctor the competition?

A. Only competition manager proctoring is allowed. Parents or guardians cannot proctor students. Starting 2022-2023, students will be proctored in person by their competition manager. If there is any suspicion of cheating or unapproved resources, Competition Managers will be contacted. View Disqualification and Cheating policies here . For further questions on AMC 8 proctoring policy, contact the MAA AMC at [email protected]

Q. Can the AMC 8 competition be proctored to different math classes during various time slots on the official administration dates, or do all the students have to take the competition simultaneously?

A. The competitions must be administered during their valid competition window by competition managers. The valid competition window for this cycle is 8:00 AM to 11:59 PM Eastern Standard time (GMT +5) on the official USA competition dates. See competition dates. Competition managers may choose to administer the competition at separate times to different sections of students; however, for competition integrity and security, the MAA AMC strongly encourages competition managers to administer the competition to all participating students simultaneously.

Q. How do I request a rescore of my answer forms?

A. Use the AMC 8 Rescore Request Form. There is a $35.00 charge for each re-scored student answer form . The official answers will be the ones blackened on the answer form. All student answer forms returned for grading will be recycled 80 days after the AMC 8 competition date.

Q. I've already registered for the AMC 8, but I would like to order more bundles than I put in my original order. How do I order more competitions?

A. U se the Additional Bundles Order Form  to order more. Orders for additional bundles will be accepted until the deadline for participating domestic institutions located within the United States and Canada. 

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The Daily Challenge with Po-Shen Loh

2022 amc 8 mock test.

Get ready for the upcoming 2022 AMC 8 math competition with this mock test!

As always, to help you prepare, Prof. Loh created this set of interesting math problems in the same difficulty level and format as the actual AMC 8 by analyzing the problems from the prior year's competition.

During the test, if you find some problems unfamiliar. No worries! It's because Prof. Loh always loves to invent creative new math problems, even with old knowledge. If you’d like to see how some of the problems are solved, you can join the live 2022 AMC 8 Prep Session hosted by Prof. Loh and our amazing teaching assistants this Fri , Jan. 14, 2022, 6 PM EST.

This Mock Test course includes the following services for 90 days after your enrollment.

• An online timed exam
• 25 creative (and challenging) questions and detailed solutions
• A comprehensive summary report and learning advice
• Unlimited practice opportunities within 90 days
• Student discussion forum.poshenloh.com

Po-Shen Loh is not on any of the Mathematical Association of America's AMC problem committees and has no knowledge of the actual problems that will appear on the AMC or AIME exams. He designed this mock test by carefully analyzing past AMC 8 exams, and using his experience coaching students to create original (new) problems.

  Po-Shen Loh  

• Founder of NOVID , first anonymous contact tracing app against COVID-19 in the USA (2020-present)
• Carnegie Mellon University, Professor of Mathematics (2010-present)  
• National Coach of USA International Mathematical Olympiad (IMO) team (2014-present)
• Princeton University, Ph.D., Mathematics, 2010
• Cambridge University, Master of Advanced Study in Mathematics with Distinction, 2005 
• California Institute of Technology, Bachelor of Science with Honor, Mathematics, 2004

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