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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
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0 replies
jwelsh
Jul 1, 2025
0 replies
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Segment has Length Equal to Circumradius
djmathman   75
N 4 hours ago by alexanderchew
Source: 2014 USAMO Problem 5
Let $ABC$ be a triangle with orthocenter $H$ and let $P$ be the second intersection of the circumcircle of triangle $AHC$ with the internal bisector of the angle $\angle BAC$. Let $X$ be the circumcenter of triangle $APB$ and $Y$ the orthocenter of triangle $APC$. Prove that the length of segment $XY$ is equal to the circumradius of triangle $ABC$.
75 replies
djmathman
Apr 30, 2014
alexanderchew
4 hours ago
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OpenAI won gold on 2025 IMO
centslordm   137
N Today at 2:58 AM by Andyluo
it got 35/42
3 years ago it got 2; aura imo

[its solutions]
137 replies
centslordm
Jul 20, 2025
Andyluo
Today at 2:58 AM
J
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The MathGauss 2025 Summer Math Competition (AMC/AIME Level)
MathandPhysics-Life   5
N Today at 2:55 AM by Andyluo
Hey AoPS Community,

*Pretty sure this is allowed in Contests and Programs, asked in the Site Support to make sure.

With the summer winding down, the team at MathGauss wanted to give everyone a chance to tackle one last big challenge before heading back to school. We are thrilled to announce our first-ever MathGauss 2025 Summer Math Competition! We've poured a lot of effort into creating a unique set of problems designed to be both fun and challenging for everyone who loves the thrill of competition math. :cool:

Why Participate?
This is more than just a contest; it's a perfect opportunity to:

Sharpen your skills: Get in some high-quality practice before the official fall competition season begins.

Test your knowledge: See how you stack up on problems ranging from the cleverness of AMC 10 to the deeper insights required for early to mid AIME.

Have fun: Enjoy a set of 10 creative problems in a low-pressure, high-reward environment.

Contest Format
Structure: You will have 45 minutes to solve 10 short-answer problems.

Difficulty & Style: The problems are crafted to test a broad range of skills, mirroring the style of official competitions. Expect to see questions that require clever thinking and elegant solutions. Ranges from early AMC 10 to mid AIME.

Answer Format: All answers are positive integers. There is no need to input units or any special formatting.

Scoring: Your final rank is determined by the number of correct answers. To break ties, we will use the time of your final submission(when you click the submit button). There is no penalty for incorrect guesses, so we encourage you to attempt every problem!

Prizes
We believe in rewarding hard work, so we've put together a great prize package for our top competitors!

Top 3 Finishers :first: : Receive a 6-month MathGauss Olympian Subscription completely free. This is your all-access pass to our most advanced training materials.

Places 4-10 : Receive a 50% discount on a yearlong MathGauss Olympian Subscription.

Places 11-20 : Receive a 25% discount on a one-month MathGauss Olympian Subscription.

Contest Window
The submission window is open! The contest officially closes on August 10th, 2025, at 12:00 AM Pacific Time. Make sure to give yourself enough time to complete your attempt before the deadline!

How to Participate :pilot:
Getting started is simple:

1. Navigate to the official contest page here(will be up soon): MathGauss Contest

2. Log in to your existing MathGauss account or create a new one.

3. Take the contest.

Crucially, please use your real email address when registering. This is the only way we can contact you to deliver your prize if you place in the top 20.

We're incredibly excited to see the clever solutions you all come up with. We hope you enjoy the challenge!

Good luck to everyone,
The MathGauss Team
5 replies
MathandPhysics-Life
Yesterday at 11:57 PM
Andyluo
Today at 2:55 AM
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Athemath Fall 2025 Applications Are Open!
cosmicflame   17
N Today at 2:48 AM by Inaaya
[center]IMAGE Athemath Fall '25 applications are now open! IMAGE[/center]

Athemath is a virtual program bringing together extraordinary young women through math. Founded by alifenix- in 2020, we offer high-quality math contest classes taught by female MOP alumni, office hours, seminars about all sorts of interesting topics, fun clubs to meet other people with similar interests, and a wholesome, active Discord community with 400+ members and counting! Students also get to join Athemath teams and travel to in-person math contests such as HMMT, PUMaC, and CMWMC. It’s like a summer camp, but at 25% intensity, virtual, and during the school year!

IMAGE $ $ Who are we?

Athemath was founded by Ali Cy in 2020 to create a community for young female mathematicians all around the world. Since its founding, our program has grown to over 400 members, and this semester, we have a total of 26 staff members, including 10 teachers and 13 TAs coming from 7 countries (you can read about the history of the program here, including student testimonials!). Our staff includes many IMO/EGMO medalists and MOPpers, a lot of whom are Athemath alumni themselves. Read more about our awesome staff members here!

IMAGE $ $ How does Athemath work?

The Fall '25 semester will be from September 20th to December 31st, lasting 14 weeks, and will include:

[list]
[*] Weekly math classes ranging in difficulty from AMC to Olympiad level, with 6 lecture classes and 5 check-in sessions to learn math, groupsolve problems together, and get to know other people! Each class is complete with handouts, an optional problem set, and full recordings of the lectures. You can find our course catalog here!
[*] Multiple office hour sessions happening throughout each week where students can ask questions about math problems, learn new concepts, and hang out together
[*] Seminars about all sorts of different topics such as higher math, general life advice, and unique perspectives
[*] Problem of the Day seasons with handpicked problems in order of increasing difficulty each week
[*] Clubs to connect with other people over shared interests, with interest channels in our 24/7 Discord lounge
[*] The opportunity to join Athemath teams and travel to contests like HMMT and CMIMC; everyone in Athemath is also invited to meetups at contests such as MP4G!
[*] Collecting points for the houses students are sorted into at the beginning of each semester
[*] An active Discord server with 400+ members where students can meet other talented math enthusiasts
[*] ...and more! See our virtual program page for more details and information!
[/list]
The program is $90 per semester, and we offer financial aid which waives the class fee if necessary.

IMAGE $ $ Should I apply?

If you're a non-binary or female student who is interested in joining our community, we really encourage you to apply! You'd be a good fit if you're in middle or high school, can score at least a 60 on the AMC 10, and have not yet qualified for MOP, but even if you're outside this range, feel free to apply if you think Athemath is right for you! Our classes range from AMC level to Olympiad level covering all four subjects (algebra, number theory, combinatorics, and geometry), so we'd likely be able to find a good fit for you no matter where you are in your math journey.

IMAGE $ $ Apply now!

Our applications have now opened at athemath.org/apply, and the deadline to submit the form is August 31st, 2025, Anywhere On Earth! The application consists of five problems and answering some short questions about yourself. You definitely don't have to solve all of the problems; in fact, most accepted students in the past solved around 2 problems, though the difficulty changes every year. You will be notified of your admissions decision shortly after the deadline!

If you have any questions, you can check our website at athemath.org, contact us at contact@athemath.org, or ask any of our staff members! We hope you apply, and have an amazing summer!


------
[center]IMAGE[/center]
17 replies
cosmicflame
Thursday at 9:11 PM
Inaaya
Today at 2:48 AM
J
No more topics!
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Predictions for 2010 USAMO Index
andrewma08   31
N Apr 8, 2010 by andrewma08
Hi,
I'm a freshman in high school that was wondering about your thoughts/opinions on the USAMO Index. I got a 100.5 on the AMC 12B and an 11 on AIME. This puts me up to an index of 210.5. Is that enough to pass?
31 replies
andrewma08
Mar 17, 2010
andrewma08
Apr 8, 2010
J
Predictions for 2010 USAMO Index
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andrewma08
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andrewma08
#1 h  Mar 17, 2010, 11:45 PM • 2 Y
Y by Adventure10, Mango247
Hi,
I'm a freshman in high school that was wondering about your thoughts/opinions on the USAMO Index. I got a 100.5 on the AMC 12B and an 11 on AIME. This puts me up to an index of 210.5. Is that enough to pass?
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Aznmathdude
5 posts
Aznmathdude
#2 h  Apr 3, 2010, 2:02 AM • 1 Y
Y by Adventure10
210.5 is a really good score. Congratz! Esp for a frosh. If u dont make it this yr u def will in the future

But i'm sorry to say it may not be enuf this yr. I'll tell you why:
1. AIME was really easy
2. Due to the addition of USAJMO there may be more competition

here are my predictions
because the amc 12a/b cutoffs were at 88.5, i would assume around 11-15 on aime to get in with the minimum score. In the past, ppl with a minimum amc score (100.5) usually needed 11. The max it has ever been to move onto usamo with a minimum amc12 score was 13. Because amc12 was harder and aime was easier, i thk its pretty safe to say the minimum aime score needed to move on with a minimum amc12 passing is at most 13. If it is 13, then u'd need 88.5+10*13=218.5
but historically, this cutoff was lower than the minimum score needed by about 5-7 pts
therefore i estimate the cutoff to be 211.5-213.5 with a maximum cutoff score of 88.5+15*10=238.5
so most likely in the low to mid 210s but due to other factors it may go up to 238.5 (highly unlikely tho)
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Math Geek
817 posts
Math Geek
#3 h  Apr 3, 2010, 2:24 AM • 4 Y
Y by Adventure10, Mango247, and 2 other users
lol yr msg is rly anoyng, aznmthdd, tho intrstng anlyss, thx fr th unhlpfl IM spelng

Sorry, I just had to do that. Seriously, though, Aznmathdude, please refrain from posting as if you were too lazy to spell out the word "enough." This isn't a chat room. :)

And to andrewma08, there's this magically wonderful thing called the "Search" function on the forum for you to find threads this year on stuff like that. Your post is the sixth or so of its kind, and no offense, but all of these posts on "Will I make the USAMO with a 2xx index?" are getting a bit annoying. :)

And I added smiley faces to make my advice appear less hostile.
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Aznmathdude
5 posts
Aznmathdude
#4 h  Apr 3, 2010, 5:01 AM • 4 Y
Y by Adventure10, Mango247, and 2 other users
Alright, I shall refrain the laziness :P
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shrig94
144 posts
shrig94
#5 h  Apr 3, 2010, 7:07 PM • 2 Y
Y by Adventure10, Mango247
I believe I know you Andrew Ma.
Besides that, I'm not sure if I can answer your question but just take the AMC10 next year. If you are good enough at the AIME, you'd automatically be pulled up to the USAMO.
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dkizzle
3 posts
dkizzle
#6 h  Apr 4, 2010, 1:34 AM • 1 Y
Y by Adventure10
Damn....
This year I got 108 on AMC 12 A
and then got 10 right on the AIME.
I really hope the cutoff is around 205.,....
please lord......
its my junior year and ive been working my ass off for this test.
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Bijection
1563 posts
Bijection
#7 h  Apr 4, 2010, 2:57 PM • 1 Y
Y by Adventure10
dkizzle wrote:
-....
This year I got 108 on AMC 12 A
and then got 10 right on the AIME.
I really hope the cutoff is around 205.,....
please lord......
its my junior year and ive been working my - off for this test.
I'm bet you'll make it. In any case a 10 AIME will not be too shabby for colleges even if you don't make it!
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dkizzle
3 posts
dkizzle
#8 h  Apr 4, 2010, 10:25 PM • 2 Y
Y by Adventure10, Mango247
thanks mathemonster^^
do you know when the list for usamo is coming out?
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Jason27603
629 posts
Jason27603
#9 h  Apr 4, 2010, 10:44 PM • 2 Y
Y by Adventure10, Mango247
This week (April 4th-9th)
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Aznmathdude
5 posts
Aznmathdude
#10 h  Apr 5, 2010, 11:05 PM • 1 Y
Y by Adventure10
Do you know how the results will be posted? Online or will we be getting letters?
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Jason27603
629 posts
Jason27603
#11 h  Apr 5, 2010, 11:12 PM • 2 Y
Y by Adventure10, Mango247
Online on the AMC website, and I think you get emails if you put your email address down on the AIME.
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dnkywin
699 posts
dnkywin
#12 h  Apr 6, 2010, 12:16 AM • 3 Y
Y by Adventure10, Mango247, and 1 other user
Jason27603 wrote:
...I think you get emails if you put your email address down on the AIME.

Yep. They give you your USAMO number and all

I say the index will be ~206.5 (too bad, tim chu :P )
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Bijection
1563 posts
Bijection
#13 h  Apr 6, 2010, 12:29 AM • 2 Y
Y by Adventure10, Mango247
last year they went out the friday of this week, so no reason to expect them to be any earlier this year
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soltixnj
170 posts
soltixnj
#14 h  Apr 6, 2010, 1:29 AM • 1 Y
Y by Adventure10
The 2010 Index for the USAMO is a 214.



Most likely.
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Bijection
1563 posts
Bijection
#15 h  Apr 6, 2010, 1:34 AM • 1 Y
Y by Adventure10
what how do u know!?
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origin492
14 posts
origin492
#16 h  Apr 6, 2010, 2:26 AM • 1 Y
Y by Adventure10
soltixnj wrote:
The 2010 Index for the USAMO is a 214.



Most likely.

lol, probably cause his index is 213.5?
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15!!!
166 posts
15!!!
#17 h  Apr 6, 2010, 2:41 AM • 2 Y
Y by Adventure10, Mango247
it better be 214, but it will be probably higher.(my index is 215.5)
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soltixnj
170 posts
soltixnj
#18 h  Apr 6, 2010, 2:44 AM • 2 Y
Y by Adventure10, Mango247
By Murphy's law the index should be your index +0.5, if your index is within the questionable range. Otherwise who knows what it could be?
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Aznmathdude
5 posts
Aznmathdude
#19 h  Apr 7, 2010, 1:27 AM • 1 Y
Y by Adventure10
Around what time on Friday will they be announced?

Do you guys think 120+ 10*10=220 index is enough to get in?
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Bijection
1563 posts
Bijection
#20 h  Apr 7, 2010, 1:44 AM • 2 Y
Y by Adventure10, Mango247
Aznmathdude wrote:
Around what time on Friday will they be announced?

Do you guys think 120+ 10*10=220 index is enough to get in?
DEF
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Zeph
92 posts
Zeph
#21 h  Apr 7, 2010, 2:04 AM • 2 Y
Y by Adventure10, Mango247
For what it's worth (not much), my intuition says that cutoff will be around 215.5 (which, incidentally, is my index), and Murphy's Law says it'll be 216. I guess we'll all see soon enough, eh?
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$LaTeX$.
284 posts
$LaTeX$.
#22 h  Apr 7, 2010, 2:54 PM • 2 Y
Y by Adventure10, Mango247
Considering The difficulty of AMC's (15-20 pts lower than avg.)

and pretty easy AIME I & moderately difficult AIME 2

last years cutoff being around 210

+30 for aime -15 for amc's around 215 for cutoff
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litongyang
387 posts
litongyang
#23 h  Apr 8, 2010, 10:26 AM • 2 Y
Y by Adventure10, Mango247
How many students can get more than 240 for 2010 USAMO Index?
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soltixnj
170 posts
soltixnj
#24 h  Apr 8, 2010, 1:08 PM • 2 Y
Y by Adventure10, Mango247
The USAMO Cutoff is definitely less than or equal to 213.5. I just got an email saying I made USAMO, but it didnt indicate the cutoff score. Good luck everyone!
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Math Geek
817 posts
Math Geek
#25 h  Apr 8, 2010, 1:12 PM • 2 Y
Y by Adventure10, Mango247
The JUSAMO cutoff is less than or equal to 202 (unless if I guessed one right). :)
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xpmath
2735 posts
xpmath
#26 h  Apr 8, 2010, 1:30 PM • 2 Y
Y by Adventure10, Mango247
USAJMO cutoffs is less than or equal to 199 :)

Pretty surprising, but this should be good for lots of people.
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27r
187 posts
27r
#27 h  Apr 8, 2010, 1:36 PM • 2 Y
Y by Adventure10, Mango247
I made USAJMO with a 188.5... loooool. That was probably the bottommost index.
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zmli
102 posts
zmli
#28 h  Apr 8, 2010, 4:12 PM • 2 Y
Y by Adventure10, Mango247
Andrew, You made it! Congratulations!
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pinkmuskrat
1066 posts
pinkmuskrat
#29 h  Apr 8, 2010, 7:15 PM • 2 Y
Y by Adventure10, Mango247
It is, not surprisingly, shown that AoPS was considerably too high.
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BarbieRocks
1102 posts
BarbieRocks
#30 h  Apr 8, 2010, 7:34 PM • 2 Y
Y by Adventure10, Mango247
27r wrote:
I made USAJMO with a 188.5... loooool. That was probably the bottommost index.


Are you 100% sure you got a 188.5? Because I got 189, but I'm not on this list. Is your name listed?
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AIME15
7892 posts
AIME15
#31 h  Apr 8, 2010, 7:37 PM • 2 Y
Y by Adventure10, Mango247
yes, her name is listed
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andrewma08
8 posts
andrewma08
#32 h  Apr 8, 2010, 7:45 PM • 2 Y
Y by Adventure10, Mango247
Thanks to everyone who replied on this post and offered me their commiseration and congratulations! I made it with a 210.5 index, probably the low end of the qualification list. :D

Congratz to all who made it! I hope I don't get a 0 now.. :P
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