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k a July Highlights and 2025 AoPS Online Class Information
jwelsh   0
Jul 1, 2025
We are halfway through summer, so be sure to carve out some time to keep your skills sharp and explore challenging topics at AoPS Online and our AoPS Academies (including the Virtual Campus)!

[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]

MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.

Our full course list for upcoming classes is below:
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0 replies
jwelsh
Jul 1, 2025
0 replies
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force overlay inversion vibes
v4913   65
N an hour ago by KevinYang2.71
Source: USAMO 2023/6
Let $ABC$ be a triangle with incenter $I$ and excenters $I_a$, $I_b$, and $I_c$ opposite $A$, $B$, and $C$, respectively. Let $D$ be an arbitrary point on the circumcircle of $\triangle{ABC}$ that does not lie on any of the lines $II_a$, $I_bI_c$, or $BC$. Suppose the circumcircles of $\triangle{DII_a}$ and $\triangle{DI_bI_c}$ intersect at two distinct points $D$ and $F$. If $E$ is the intersection of lines $DF$ and $BC$, prove that $\angle{BAD} = \angle{EAC}$.

Proposed by Zach Chroman
65 replies
v4913
Mar 23, 2023
KevinYang2.71
an hour ago
J
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Digit switching
Th3Numb3rThr33   101
N 2 hours ago by ray66
Source: 2018 USAJMO #1
For each positive integer $n$, find the number of $n$-digit positive integers that satisfy both of the following conditions:
[list]
[*] no two consecutive digits are equal, and
[*] the last digit is a prime.
[/list]
101 replies
1 viewing
Th3Numb3rThr33
Apr 18, 2018
ray66
2 hours ago
J
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Getting accepted to PROMYS
AdrienMarieLegendre   1
N 3 hours ago by Narwhal234
what are your tips for getting accepted into promys?? how can I prepare for the application, and what should I do to develop 'mathematical creativity' so I could tackle the problems easier and come up with interesting solutions?
1 reply
1 viewing
AdrienMarieLegendre
4 hours ago
Narwhal234
3 hours ago
J
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USAMTS and AMC 10?
HungryCalculator   8
N 4 hours ago by HungryCalculator
Say you take the USAMTS and AMC10, and you qualify for AIME through both pathways.

Does your JMO qualification now depend on your AMC10 pathway (AMC + AIME), or just the 9+ on AIME required for JMO Qual through the USAMTS + AIME pathway?

Are you even allowed to take both USAMTS and AMC10 in the first place?
8 replies
HungryCalculator
Jul 9, 2025
HungryCalculator
4 hours ago
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LAUNCH Bootcamp
triggod   0
Mar 13, 2025
My friends and I are LAUNCHing a Bootcamp offering a variety of classes, and we’d love your help in spreading the word! If you want to sign up or learn more, check out the details here: https://docs.google.com/presentation/d/1OYfaTWaGy-_qTcL_PB-w4gKg34PLfYTniVttyPLgdNM/edit?usp=sharing. Let’s make this a success together!

0 replies
triggod
Mar 13, 2025
0 replies
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LAUNCH Bootcamp
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triggod
#1 h  Mar 13, 2025, 7:00 PM
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My friends and I are LAUNCHing a Bootcamp offering a variety of classes, and we’d love your help in spreading the word! If you want to sign up or learn more, check out the details here: https://docs.google.com/presentation/d/1OYfaTWaGy-_qTcL_PB-w4gKg34PLfYTniVttyPLgdNM/edit?usp=sharing. Let’s make this a success together!
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