amc 10 art of problem solving

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Information overview, what is the amc 10/12.

The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple-choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.

The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.

The AMC 10/12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad (see Invitational Competitions ).

The AMC 10/12 is also available in braille in print administration only and large print in online administration only.

Registration Deadlines and Competition Date

• AMC 10/12 A Early Bird Registration Deadline: Aug 18 - Sept 18, 2023
• AMC 10/12 A Regular Registration Deadline: Sept 19 - Oct 26, 2023
• AMC 10/12 A Late Registration Deadline: Oct 27 - Nov 3, 2023
• AMC 10/12 A Competition Date: November 8, 2023 from 8:00 am ET to 11:59 pm ET
• AMC 10/12 B Early Bird Registration Deadline: Aug 18 - Sept 25, 2023
• AMC 10/12 B Regular Registration Deadline: Sept 26 - Nov 2, 2023
• AMC 10/12 B Late Registration Deadline: Nov 3 - Nov 9, 2023
• AMC 10/12 B Competition Date: November 14, 2023 from 8:00 am ET to 11:59 pm ET

What is the difference between the A and B versions of the examinations?

Both the A and the B versions of the AMC 10 and the AMC 12 have the same number of questions, the same scoring, and the same rules for administration. The only differences are the competition dates and that each version has a distinct set of questions, although the two examinations are designed to be equal in difficulty and distribution of topics. Schools can order one or both versions of the tests, so long as they pay the appropriate registration fee for each competition date and purchase the competition bundles for each date.

Resources for Hosting the AMC 10/12 

This section includes all of the resources you need to host a successful AMC 10 and AMC 12 in your school. Download and read the AMC 10 and AMC 12 Teacher’s Manual for more details about how to host an AMC 10 and AMC 12 competition .

   2023-2024 AMC 10/12 A Teacher's Manual (PDF)   

   2023-2024 AMC 10/12 B Teacher's Manual (PDF)   

Administration Resources

Competition Managers can find all additional forms needed below.

• Registration and Administration Deadlines
• Hosting MAA Competitions Guide : Expands on the Teacher's Manual for Competition Managers who desire additional details.
• AMC 10/12 Registration Form 
• AMC 10/12 Additional Bundles Order Form : Used by Competition Managers who need to add competition bundle orders to an order that they have already placed. 
• Letter to Parents

STATISTICS FOR THE AMC 10/12

We are hosting our statistics through our new platform. Find the reports for the AMC 10/12 A & B below. Please note that we have amended the information we publicly provide in these statistics for student privacy.

   SUMMARY STATISTICS    

Preparing Your Students for the AMC 10/12

These resources will help you prepare your students for the types of questions found on the AMC 10/12 exam.

• AMC 10/12 Practice Questions
• Curriculum Inspirations Videos and essays for your classroom
• AMC Preparation Materials for Purchase

FAQs for the AMC 10/12

Q. What material is covered on the AMC 10 and 12?

A.  The AMC 10 covers mathematics normally associated with grades 9 and 10. The AMC 10 assumes knowledge of elementary algebra; basic geometry knowledge including the Pythagorean Theorem, area and volume formulas; elementary number theory; and elementary probability. What are excluded are trigonometry, advanced algebra, and advanced geometry. The AMC 12 covers the entire high school mathematics curriculum, including the above, as well as trigonometry, advanced algebra, and advanced geometry, but excludes calculus.

Q. Who is eligible to take the AMC 10 and the AMC 12?

A.  Students with a passion for problem-solving who are in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.

Q. Who can proctor the competition?

A.  Only competition manager proctoring is allowed. Parents or guardians cannot proctor students. Starting 2022-2023, their competition manager will proctored students in person. Competition Managers will be contacted if there is any suspicion of cheating or unapproved resources.  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 10/12 competition be proctored to different math classes during various time slots on the official administration date(s), or do all the students have to take the competition at the same time?

A. Competition managers must administer competitions during their valid competition window . 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 at the same time.

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

A. Use the  AMC 10/12 Rescoring Request Form to request a rescore. There is a $35 charge for each participant's answer form that is rescored. The official answers will be the ones blackened on the answer form. All participant answer forms returned for grading will be recycled 80 days after the AMC 10/12 competition date.

Q. Can I order more bundles even if I’ve already registered my school for the AMC 10/12?

A .  Yes , you can use 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. 

Q. Can a student take both competitions?

A.  Yes, as long as a student is eligible to take the appropriate competitions. That is, a 10th grader or below can take both AMC 10 A and the AMC 10 B, the AMC 12 A and the AMC 12 B, etc., and an 11th or 12th grader can take the AMC 12 A and the AMC 12 B. However, the school must register for both dates and order bundles for each competition.

Q. What if a school registers for one date and then wants to change the registration to another?

A.  Although we discourage a change in date because of potential confusion, a date change is permitted under certain circumstances. If the competition materials have not been shipped and time permits according to the registration schedule, a school can pay the corresponding change in registration fee (plus any change in bundles) to change contest dates. Credit cards must pay additional fees when a date change is requested to expedite changes. Please email [email protected] to process this change.

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All my AMC 10 preperation is documented here, by Refath Bari .

Topics covered include: Number Theory (Solutions provided by Refath Bari, of the book by Matthew Crawford), Geometry (Solutions provided by Refath Bari, of the book by Richard Rusczyk), and Art of Problem Solving Volume I (Solutions provided by Refath Bari, of the book by Richard Ruscyzk)

AMC 10B 2016

Solutions for Chapter 12 of Number Theory by Matthew Crawford. Solutions by Refath Bari.

AMC 10A 2015

Solutions for Chapter 13 of Number Theory by MC. Solutions by Refath Bari.

AMC 10B 2015

Solutions for Chapter 1 of AoPS Volume I by RR. Solutions by Refath Bari.

AMC 10A 2014

Solutions for Chapter 3 of AoPS Volume I by RR. Solutions by Refath Bari.

AMC 10B 2014

Solutions for Chapter 4 of AoPS Volume I by RR. Solutions by Refath Bari.

AMC 10A 20132

Solutions for Chapter 5 of AoPS Volume I by RR. Solutions by Refath Bari.

AMC 10B 2013

Solutions for Chapter 6 of AoPS Volume I by RR. Solutions by Refath Bari.

Solutions for Chapter 7 of AoPS Volume I by RR. Solutions by Refath Bari.

Solutions for Chapter 9 of AoPS Volume I by RR. Solutions by Refath Bari.

Solutions for AMC 10B 2015 by Refath Bari.

Solutions for AMC 10A 2014 by Refath Bari.

AMC 10K 201K

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In this summer course, advanced high school students develop the problem-solving skills and strategies they’ll need to succeed in major high school math contests.

Students grades 9-12 prepare for the American Mathematics Competitions, the American Invitational Math Exam, and more.

AMC 10/12 Prep Camp is designed for students in grades 9 through 12 who want to excel at math competitions such as the American Mathematics Competitions 10 and 12 (AMC 10/12), the American Invitational Math Exam (AIME), and other major high school contests.

Our expert instructors use content developed by the Art of Problem Solving curriculum team to teach High School Math Contests. As a deep exploration of challenging mathematics, AoPS curriculum prepares students for success at top universities, and competitive careers. No books are required for this class.

In this course, students study and practice successful strategies for the American Mathematics Competitions 10 and 12 (AMC 10/12) and other major high school contests. Students also participate in practice competitions to build both mathematical skills and test-taking experience to prepare them for the upcoming school year.

Since 1993, high school students have relied on AoPS for contest preparation. Composed entirely of AoPS students, the USA Mathematical Olympiad Team has won the International Math Olympiad 4 out of the last 6 years — after not winning for the previous 20 years.

Our instructors hold classes virtually, in a small-sized (10-16 students) videoconferencing classroom.

There is no required homework for AMC 10/12 Prep Camp. However, we've prepared more materials than we can cover during class and many students continue working on them after class for extra practice.

If you drop a summer course before the start of your first class session, we'll issue a full refund for the course tuition. No refunds will be issued for withdrawing from a summer course after the start of your first class session.

Our summer course offerings meet five days a week, Monday through Friday. We offer this course in two timing formats. Both cover the same course material.

• The two-week course meets for 3 hours each day.
• The four-week course meets for 1.5 hours each day.

2022 AMC 10B Problems/Problem 2

• 2 Solution 1
• 3 Solution 2 (The Area Of A Triangle)
• 4 Video Solution 1
• 5 Video Solution(1-16)
• 6 Video Solution by Interstigation

~richiedelgado

Solution 2 (The Area Of A Triangle)

~ghfhgvghj10, minor edits by MinecraftPlayer404

Video Solution 1

https://youtu.be/Io_GhJ6Zr_U

~Education, the Study of Everything

Video Solution(1-16)

https://youtu.be/SCwQ9jUfr0g

~~Hayabusa1

Video Solution by Interstigation

https://youtu.be/_KNR0JV5rdI?t=97

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