Art of Problem Solving
AoPS Online AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy AoPS Academy
Small live classes for advanced math
and language arts learners in grades 1-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Summer is a great time to explore cool problems to keep your skills sharp! Schedule a class today!
How Classes Work
Course Catalog
Recommendations
Subject Courses
Before Prealgebra Ready for Prealgebra After Prealgebra Some Algebra 1 After Algebra 1 After Geometry After Algebra 2 After Precalculus Beyond Calculus
Contest Preparation
AMC 8/MATHCOUNTS AMC 10 AMC 12 AIME USAMO
Computer Programming
Little or No Experience Some Experience Extensive Experience
Physics Courses
Little or No Experience Some Experience Extensive Experience
Prospective Students & Parents
Math Jams
Need Help?

Need help finding the right class? Have a question about how classes work?

Click here to Ask AoPS!

AMC 12 Final Fives

This course is designed specifically to tackle the challenging final five problems of the AMC 12, the first in the series of contests that determine the United States team for the International Mathematics Olympiad. Many prestigious universities also consider AMC scores as part of the college application process. This course teaches you the tactics needed for the last five problems, which often determine the high scorers in the exam. Our sessions will include in-depth discussions of these types of problems, as well as unique, effective strategies to approach them. By the end of the course, students will have a clear understanding of these complex problems. This course includes a practice competition focusing on the last five problems of the AMC 12.

4 weeks
4 weeks  

Schedule

Thursday
Sep 17 - Oct 8 		7:30 - 9:00
PM ET
Sep 17 - Oct 8
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
Ben S. $165 (~$42/lesson)
$165 (~$42/lesson)
ENROLL
Sunday
Sep 27 - Oct 18 		7:30 - 9:00
PM ET
Sep 27 - Oct 18
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
Seth Thomason $165 (~$42/lesson)
$165 (~$42/lesson)
ENROLL
Friday
Oct 9 - Oct 30 		7:30 - 9:00
PM ET
Oct 9 - Oct 30
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
Seth Thomason $165 (~$42/lesson)
$165 (~$42/lesson)
ENROLL
Spring 2027This course will be offered in Spring 2027. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes July 3 ‐ 5, September 5 ‐ 7, November 23 ‐ 29, December 21 ‐ January 3, February 13 - 15, and May 29 ‐ May 31 2027.

Who Should Take?

Our AMC 12 Final Fives course is designed for high-school students who can currently score 80+ on the AMC 12 contest. Students not yet meeting this standard should instead consider the AMC 12 Problem Series.

Lessons

1 Final Five Algebra
2 Final Five Geometry
3 Final Five Combinatorics
4 Final Five Number Theory

This class dramatically enhanced my ability to solve Olympiad-level geometry problems, as well as my problem solving skills in general. The instruction was some of the best I've ever seen. Not only did the class explain the techniques for solving various problems, but it also gave the motivation for thinking of a particular technique for a problem. I can now complete problems that used to take me weeks to solve in a couple hours!