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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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0 replies
jlacosta
May 1, 2025
0 replies
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k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
J
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k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
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Mustang Math Recruitment is Open!
MustangMathTournament   8
N 4 minutes ago by Henry2020
The Interest Form for joining Mustang Math is open!

Hello all!

We're Mustang Math, and we are currently recruiting for the 2025-2026 year! If you are a high school or college student and are passionate about promoting an interest in competition math to younger students, you should strongly consider filling out the following form: https://link.mustangmath.com/join. Every member in MM truly has the potential to make a huge impact, no matter your experience!

About Mustang Math

Mustang Math is a nonprofit organization of high school and college volunteers that is dedicated to providing middle schoolers access to challenging, interesting, fun, and collaborative math competitions and resources. Having reached over 4000 U.S. competitors and 1150 international competitors in our first six years, we are excited to expand our team to offer our events to even more mathematically inclined students.

PROJECTS
We have worked on various math-related projects. Our annual team math competition, Mustang Math Tournament (MMT) recently ran. We hosted 8 in-person competitions based in Washington, NorCal, SoCal, Illinois, Georgia, Massachusetts, Nevada and New Jersey, as well as an online competition run nationally. In total, we had almost 900 competitors, and the students had glowing reviews of the event. MMT International will once again be running later in August, and with it, we anticipate our contest to reach over a thousand students.

In our classes, we teach students math in fun and engaging math lessons and help them discover the beauty of mathematics. Our aspiring tech team is working on a variety of unique projects like our website and custom test platform. We also have a newsletter, which, combined with our social media presence, helps to keep the mathematics community engaged with cool puzzles, tidbits, and information about the math world! Our design team ensures all our merch and material is aesthetically pleasing.

Some highlights of this past year include 1000+ students in our classes, AMC10 mock with 150+ participants, our monthly newsletter to a subscriber base of 6000+, creating 8 designs for 800 pieces of physical merchandise, as well as improving our custom website (mustangmath.com, 20k visits) and test-taking platform (comp.mt, 6500+ users).

Why Join Mustang Math?

As a non-profit organization on the rise, there are numerous opportunities for volunteers to share ideas and suggest projects that they are interested in. Through our organizational structure, members who are committed have the opportunity to become a part of the leadership team. Overall, working in the Mustang Math team is both a fun and fulfilling experience where volunteers are able to pursue their passion all while learning how to take initiative and work with peers. We welcome everyone interested in joining!

More Information

To learn more, visit https://link.mustangmath.com/RecruitmentInfo. If you have any questions or concerns, please email us at contact@mustangmath.com.

https://link.mustangmath.com/join
8 replies
MustangMathTournament
May 24, 2025
Henry2020
4 minutes ago
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MOP Emails Out! (not clickbait)
Mathandski   106
N 26 minutes ago by CheerfulZebra68
What an emotional roller coaster the past 34 days have been.

Congrats to all that qualified!
106 replies
Mathandski
Apr 22, 2025
CheerfulZebra68
26 minutes ago
J
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BIG BEEF BETWEEN MATHMATICANS (EXPOSED!!!!!) [MathEXplained Magazine]
yolk_eggg   0
41 minutes ago
Source: https://mathexplained.github.io/
Hey AOPS!!!!! :D :D :D :D :D

Hope you're all excited for the summer! As the summer approaches and you're all beginning to get back on the math grind I hope that you'll all also do some leisurely math reading/discovery!!

Check out this month's MathEXplained Magazine issue where we explore:
1. The math behind sports betting
2. The birthday paradox
3. Mathematicians born in May and their contributions to math
4. The ulam spiral
5. The surprising past behind the cubic formula (INSANE BEEF)

You can read this months issue on our website at https://mathexplained.github.io/ or on this google drive file

Additionally, if you are interested in sharing our own niche mathematical interests, I would encourage you to apply for a staff position at: [url][/url]https://tinyurl.com/MEXapply

Don't forget to join our discord server at https://tinyurl.com/MEXplained to let us know who's side you're on!!
0 replies
yolk_eggg
41 minutes ago
0 replies
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4th grader qual JMO
HCM2001   50
N an hour ago by steve4916
i mean.. whattttt??? just found out about this.. is he on aops? (i'm sure he is) where are you orz lol..
https://www.mathschool.com/blog/results/celebrating-success-douglas-zhang-is-rsm-s-youngest-usajmo-qualifier
50 replies
HCM2001
May 22, 2025
steve4916
an hour ago
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Graph Theory
achen29   4
N 2 hours ago by ABCD1728
Are there any good handouts or even books in Graph Theory for a beginner in it? Preferable handouts which are extensive!
4 replies
achen29
Apr 24, 2018
ABCD1728
2 hours ago
J
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Guess period of function
a1267ab   10
N 2 hours ago by cosmicgenius
Source: USA TST 2025
Let $n$ be a positive integer. Ana and Banana play a game. Banana thinks of a function $f\colon\mathbb{Z}\to\mathbb{Z}$ and a prime number $p$. He tells Ana that $f$ is nonconstant, $p<100$, and $f(x+p)=f(x)$ for all integers $x$. Ana's goal is to determine the value of $p$. She writes down $n$ integers $x_1,\dots,x_n$. After seeing this list, Banana writes down $f(x_1),\dots,f(x_n)$ in order. Ana wins if she can determine the value of $p$ from this information. Find the smallest value of $n$ for which Ana has a winning strategy.

Anthony Wang
10 replies
a1267ab
Dec 14, 2024
cosmicgenius
2 hours ago
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interesting geo config (2/3)
Royal_mhyasd   1
N 3 hours ago by Royal_mhyasd
Source: own
Let $\triangle ABC$ be an acute triangle and $H$ its orthocenter. Let $P$ be a point on the parallel through $A$ to $BC$ such that $\angle APH = |\angle ABC-\angle ACB|$. Define $Q$ and $R$ as points on the parallels through $B$ to $AC$ and through $C$ to $AB$ similarly. If $P,Q,R$ are positioned around the sides of $\triangle ABC$ as in the given configuration, prove that $P,Q,R$ are collinear.
1 reply
Royal_mhyasd
3 hours ago
Royal_mhyasd
3 hours ago
J
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interesting geo config (1\3)
Royal_mhyasd   0
4 hours ago
Source: own
Let $\triangle ABC$ be an acute triangle with $AC > AB$, $H$ its orthocenter and $O$ it's circumcenter. Let $P$ be a point on the parallel through $A$ to $BC$ such that $\angle APH = \angle ABC - \angle ACB$ and $P$ and $C$ are on different sides of $AB$. Denote by $S$ the intersection of the circumcircle of $\triangle ABC$ and $PA'$, where $A'$ is the reflection of $H$ over $BC$, $M$ the midpoint of $PH$, $Q$ the intersection of $OA$ and the parallel through $M$ to $AS$, $R$ the intersection of $MS$ and the perpendicular through $O$ to $PS$ and $N$ a point on $AS$ such that $NT \parallel PS$, where $T$ is the midpoint of $HS$. Prove that $Q, N, R$ lie on a line.

fiy it's 2am and i'm bored so i decided to look further into this interesting config that i had already made some observations on, maybe this problem is trivial from some theorem so if that's the case then i'm sorry lol :P i'll probably post 2 more problems related to it soon, i'd say they're easier than this though
0 replies
Royal_mhyasd
4 hours ago
0 replies
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Parallel lines..
ts0_9   9
N 4 hours ago by OutKast
Source: Kazakhstan National Olympiad 2014 P3 D1 10 grade
The triangle $ABC$ is inscribed in a circle $w_1$. Inscribed in a triangle circle touchs the sides $BC$ in a point $N$. $w_2$ — the circle inscribed in a segment $BAC$ circle of $w_1$, and passing through a point $N$. Let points $O$ and $J$ — the centers of circles $w_2$ and an extra inscribed circle (touching side $BC$) respectively. Prove, that lines $AO$ and $JN$ are parallel.
9 replies
ts0_9
Mar 26, 2014
OutKast
4 hours ago
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KMN and PQR are tangent at a fixed point
hal9v4ik   4
N 4 hours ago by OutKast
Let $ABCD$ be cyclic quadrilateral. Let $AC$ and $BD$ intersect at $R$, and let $AB$ and $CD$ intersect at $K$. Let $M$ and $N$ are points on $AB$ and $CD$ such that $\frac{AM}{MB}=\frac{CN}{ND}$. Let $P$ and $Q$ be the intersections of $MN$ with the diagonals of $ABCD$. Prove that circumcircles of triangles $KMN$ and $PQR$ are tangent at a fixed point.
4 replies
hal9v4ik
Mar 19, 2013
OutKast
4 hours ago
J
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one cyclic formed by two cyclic
CrazyInMath   40
N 4 hours ago by HamstPan38825
Source: EGMO 2025/3
Let $ABC$ be an acute triangle. Points $B, D, E$, and $C$ lie on a line in this order and satisfy $BD = DE = EC$. Let $M$ and $N$ be the midpoints of $AD$ and $AE$, respectively. Suppose triangle $ADE$ is acute, and let $H$ be its orthocentre. Points $P$ and $Q$ lie on lines $BM$ and $CN$, respectively, such that $D, H, M,$ and $P$ are concyclic and pairwise different, and $E, H, N,$ and $Q$ are concyclic and pairwise different. Prove that $P, Q, N,$ and $M$ are concyclic.
40 replies
CrazyInMath
Apr 13, 2025
HamstPan38825
4 hours ago
J
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geometry problem
Medjl   5
N 4 hours ago by LeYohan
Source: Netherlands TST for IMO 2017 day 3 problem 1
A circle $\omega$ with diameter $AK$ is given. The point $M$ lies in the interior of the circle, but not on $AK$. The line $AM$ intersects $\omega$ in $A$ and $Q$. The tangent to $\omega$ at $Q$ intersects the line through $M$ perpendicular to $AK$, at $P$. The point $L$ lies on $\omega$, and is such that $PL$ is tangent to $\omega$ and $L\neq Q$.
Show that $K, L$, and $M$ are collinear.
5 replies
Medjl
Feb 1, 2018
LeYohan
4 hours ago
J
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Connected, not n-colourable graph
mavropnevma   7
N 4 hours ago by OutKast
Source: Tuymaada 2013, Day 1, Problem 4 Juniors and 3 Seniors
The vertices of a connected graph cannot be coloured with less than $n+1$ colours (so that adjacent vertices have different colours).
Prove that $\dfrac{n(n-1)}{2}$ edges can be removed from the graph so that it remains connected.

V. Dolnikov

EDIT. It is confirmed by the official solution that the graph is tacitly assumed to be finite.
7 replies
mavropnevma
Jul 20, 2013
OutKast
4 hours ago
J
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Homothety with incenter and circumcenters
Ikeronalio   8
N 4 hours ago by LeYohan
Source: Korea National Olympiad 2009 Problem 1
Let $I, O$ be the incenter and the circumcenter of triangle $ABC$, and $D,E,F$ be the circumcenters of triangle $ BIC, CIA, AIB$. Let $ P, Q, R$ be the midpoints of segments $ DI, EI, FI $. Prove that the circumcenter of triangle $PQR $, $M$, is the midpoint of segment $IO$.
8 replies
Ikeronalio
Sep 9, 2012
LeYohan
4 hours ago
J
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J
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USA(J)MO Statistics Out
BS2012   53
N Apr 24, 2025 by maxamc
Source: MAA edvistas page
https://maa.edvistas.com/eduview/report.aspx?view=1561&mode=6
who were the 2 usamo perfects
53 replies
BS2012
Apr 23, 2025
maxamc
Apr 24, 2025
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USA(J)MO Statistics Out
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Reveal topic tags
USA(J)MO
USAJMO
USAMO
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G H BBookmark kLocked kLocked NReply
Source: MAA edvistas page
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BS2012
1058 posts
BS2012
#1 h  Apr 23, 2025, 10:07 PM • 2 Y
Y by Exponent11, Tem8
https://maa.edvistas.com/eduview/report.aspx?view=1561&mode=6
who were the 2 usamo perfects
Attachments:
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rhydon516
569 posts
rhydon516
#3 h  Apr 23, 2025, 10:19 PM
Y by
looks like the whole "usamts doesn't affect cutoffs" was a whole bunch of bs. at least according to evan chen's statistics of 2024, there were only four more oly participants than last year, despite the +50 increase from usamts. (you get the idea, these numbers apparently aren't very precise)

please don’t take this the wrong way. I support the usamts pathway, if it's reworked a bit; I’m just saying that usamts (most likely) did affect cutoffs.
This post has been edited 3 times. Last edited by rhydon516, Apr 25, 2025, 12:11 AM
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Lhaj3
148 posts
Lhaj3
#4 h  Apr 23, 2025, 10:22 PM
Y by
looking at official statistics it looks like they took 19 less people...
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BS2012
1058 posts
BS2012
#5 h  Apr 23, 2025, 10:25 PM
Y by
looking at official maa statistics from 2024, usajmo had 24 less participants in 2025 and usamo had 5 more
@below oops
This post has been edited 1 time. Last edited by BS2012, Apr 23, 2025, 10:30 PM
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Lhaj3
148 posts
Lhaj3
#6 h  Apr 23, 2025, 10:27 PM
Y by
BS2012 wrote:
looking at official maa statistics from 2024, usajmo had 24 less participants in 2025 and usamo had 5 less
no usamo had 5 more
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NoSignOfTheta
1749 posts
NoSignOfTheta
#7 h  Apr 23, 2025, 10:29 PM • 2 Y
Y by Exponent11, bachkieu
BS2012 wrote:
who were the 2 usamo perfects

Math4Life2020
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babyzombievillager
410 posts
babyzombievillager
#8 h  Apr 23, 2025, 11:02 PM
Y by
rhydon516 wrote:
looks like the whole "usamts doesn't affect cutoffs" was a whole bunch of bs. at least according to evan chen's statistics of 2024, there were only four more oly participants than last year, despite the +50 increase from usamts. (you get the idea, these numbers apparently aren't very precise)

yeah, that explains why the cutoffs were so high this year
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jellybeanzzz
499 posts
jellybeanzzz
#9 h  Apr 23, 2025, 11:05 PM
Y by
rhydon516 wrote:
looks like the whole "usamts doesn't affect cutoffs" was a whole bunch of bs. at least according to evan chen's statistics of 2024, there were only four more oly participants than last year, despite the +50 increase from usamts. (you get the idea, these numbers apparently aren't very precise)

where’s the +50 increase coming from? as far as I know there was less than 10 people that qualified through usamts but not amc.
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blueprimes
363 posts
blueprimes
#11 h  Apr 23, 2025, 11:23 PM • 5 Y
Y by xTimmyG, elasticwealth, llddmmtt1, MathPerson12321, Arcticturn
womp womp
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jellybeanzzz
499 posts
jellybeanzzz
#12 h  Apr 24, 2025, 12:03 AM
Y by
um ok? i’m still right?
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llddmmtt1
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llddmmtt1
#13 h  Apr 24, 2025, 12:06 AM
Y by
no you are not
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deduck
237 posts
deduck
#14 h  Apr 24, 2025, 12:07 AM
Y by
rhydon516 wrote:
looks like the whole "usamts doesn't affect cutoffs" was a whole bunch of bs. at least according to evan chen's statistics of 2024, there were only four more oly participants than last year, despite the +50 increase from usamts. (you get the idea, these numbers apparently aren't very precise)

yup exactly!!!
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jellybeanzzz
499 posts
jellybeanzzz
#15 h  Apr 24, 2025, 12:09 AM
Y by
llddmmtt1 wrote:
no you are not

where’s your data bro :sob: you telling me you know 50 people that made usamo through usamts but not amc
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llddmmtt1
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llddmmtt1
#16 h  Apr 24, 2025, 12:10 AM • 1 Y
Y by aopscalculator
jellybeanzzz wrote:
llddmmtt1 wrote:
no you are not

where’s your data bro :sob: you telling me you know 50 people that made usamo through usamts but not amc

i am falsifying your claim that at most 10 people made through usamts and not amc
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jellybeanzzz
499 posts
jellybeanzzz
#17 h  Apr 24, 2025, 12:10 AM
Y by
llddmmtt1 wrote:
i am falsifying your claim that at most 10 people made through usamts and not amc

so where’s your data/proof?
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