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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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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]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

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0 replies
jlacosta
May 1, 2025
0 replies
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
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
Deliverance of Justice
User1239784   14
N 15 minutes ago by LearnMath_105
I would like to bring to the community's attention the actions of an integrity-less, dishonest cheater. We will make out of this loser an example. Let me make it clear that I don't care whatever actions this user chooses to pursue in the future. They will reap the seeds of their wrongdoing, which they knowingly and willingly sowed themselves. They have no excuse for their inexcusable actions.

Fact #1: Anticodon qualified USAJMO through AMC index after getting barely a 114 on the AMC10B this year. They claim to have solved 14 problems on the AIME, and got 13 correct.
Proof: https://artofproblemsolving.com/community/c3h3514242p34115225 (Post #10)
Backup: https://web.archive.org/web/20250514060647/https://artofproblemsolving.com/community/c3h3514242p34115225

This is extremely suspicious by itself, but of course we cannot simply call someone a cheater from their score. Obviously there is some boundary to which getting lucky or unlucky can affect your score, and 93 on AMC12A and 114 on AMC10B to 13 on AIME is obviously pushing that boundary. But let's see what else we have.

Fact #2: They cannot solve many early middle school level problems
Evidence: https://artofproblemsolving.com/community/c3h3454526p33354305
Backup: https://web.archive.org/web/20250514070149/https://artofproblemsolving.com/community/c3h3454526p33354305
It's not only wrong, they also used AI, because they didn't know how to do it; check the following image: https://cdn.discordapp.com/attachments/1218356881446408192/1367329444200583369/image.png?ex=682553c7&is=68240247&hm=fd00c3c5fd0d80571ab1e190dcfdfa37c374e8dd499a80f0185f5b98b77cfeaf&

Evidence: https://artofproblemsolving.com/community/c5h3465216p33498941
Backup: https://web.archive.org/web/20250514070528/https://artofproblemsolving.com/community/c5h3465216_help_with_2022_amc_10_a_question (Post #12)
This whole paragraph is absolute gibberish. For starters, $\frac{abc}{999}=\frac{1}{3}\cdot(\frac{a}{9}+\frac{b}{9}+\frac{c}{9})$ is clearly not true. Even a 1st grader can see that. And what does "a number not a product" mean? A product is a number? Literally makes 0 sense.

Fact #3: They claim to be very good at trig
Proof: https://artofproblemsolving.com/community/c5h3382843p33181682
Backup: https://web.archive.org/web/20250506020552/https://artofproblemsolving.com/community/c5h3382843p33181682

Fact #4: Yet they cannot seem to understand the fundamentals of trig
Evidence: https://artofproblemsolving.com/community/c123h3455648_5236_transcendental_number_with_integer_coefficients
Backup: https://web.archive.org/web/20250514071755/https://artofproblemsolving.com/community/c123h3455648_5236_transcendental_number_with_integer_coefficients (#26 and #31)
They decided to just copy dolphinday's solution. It's clear they do not understand a thing about it. :| Seriously?

Evidence: https://artofproblemsolving.com/community/c5h3442725p33193970
Backup: https://web.archive.org/web/20250514071318/https://artofproblemsolving.com/community/c5h3442725p33193970
NOTE: wangzrpi = anticodon. Just check their blogs and posts.
Anyways, I don't see how any kind of trig god as anticodon makes themselves out to be can not realize that $\tan(x) = \cot(\frac{pi}{2}-x)$.

Fact #5: They have extremely strange, inconsistent behavior
Evidence: https://web.archive.org/web/20250509034013/https://artofproblemsolving.com/community/c4114443h3564842
Check their attached screenshot. Why don't they write $-8\sqrt{13} + 9\sqrt{13}$ as $\sqrt{13}$? What's wrong with them? Even a 1st grader can see that's so easy to simplify. Not to mention them acting all high and mighty since they memorized the cosine addition formula... so annoying.

Fact #6: They have extremely low mathematical (not to mention mental...) maturity
Proof: https://artofproblemsolving.com/community/c3h3564811p34779811
Backup: https://web.archive.org/web/20250514061542/https://artofproblemsolving.com/community/c3h3564811

#1 and #9 are the same, how did the trig god not understand that simple trigonometric/complex fact?

#8 is a definition, not a formula. Can't get even the simplest things right?

#6 is complete nonsense, not even a formula. Where are all these random variables coming from? Just trying to "show off" again huh, well no one's impressed, because we aren't idiots we can see it's just a bunch of garbage just like their brain.

#4 is common sense, are they really that hungry for attention that they'll just write a bunch of trivial integrals and try to pass it off as something so "cool" and "top 10" and whatnot??? same goes for #10.

#5 why can't they just say what x' and y' is? rotation by theta degrees counterclockwise you mean? oh i know, because u don't know what they mean.

It's clear throughout this whole post they're just trying to "flex" on everyone else, it's hilarious yet annoying and stupid at the same time.

Fact #7: They don't understand a thing about mathematics; rather, they're obsessed with keeping up a facade of "prodigiousness" or something
Proof: https://artofproblemsolving.com/community/c6h420395p34822492
Backup: https://web.archive.org/web/20250514072408/https://artofproblemsolving.com/community/c6h420395p34822492

If you can't understand the problem, "prove the quadratic doesn't have negative roots" does ABSOLUTELY NOTHING. when will this arrogance end?

Fact #8: They're egotistical and proud. Yet wrong, again and again.
To add on to the examples showing this previously:
Evidence: https://artofproblemsolving.com/community/c6h3479026p33709927
Backup: https://web.archive.org/web/20250514073137/https://artofproblemsolving.com/community/c6h3479026p33709927
What kind of "advice" is "try USAMTS?" The person who asked needs help figuring out proofs, you don't just shove a bunch of random problems in their face. What even is common sense at this point?

They are clearly just trying to boost their ego by dishing out garbage "helpful" advice to others who are more experienced than them. While they clearly, know nothing.

Evidence: https://artofproblemsolving.com/community/c3h3473318p33671683 (#66)
Backup: https://web.archive.org/web/20250514064308/https://artofproblemsolving.com/community/c3h3473318p33671683
Woah, they're so advanced to know what's Mandlebrot Set equation, wow everyone go orz them oh wait it's wrong, who would've guessed from their previous track record? For future reference it's $Z_{n+1}=Z_n^2+C$ if you do go around, acting like some kind of god again, "anticodon." Everyone will worship you finally for being able to copy from Google correctly!...

Except no one will worship you anymore, and no one ever did, because you are just an egotistical, privileged, idiot. Don't ever whine about "hard work," when those born into lower classes have worked harder than you could have ever imagined, yet achieved less, simply because they were less lucky and born into a place where they were not nurtured with as much time and money as you, who was born into the upper rank. But in the end, it doesn't matter. Everything falls at the same speed, including you who thinks you are somehow invincible and arrogant enough to be doing this idiocy on AoPS.

Morals?
We will make an example out of the wickedness of this ungrateful, arrogant piece of trash.

It's clear that they cheated to get into USAJMO.

NOTE: Sometimes Internet Archive bugs out while saving webpages. I have screenshots of all their posts, notify me immediately if "anticodon" begins editing their posts. I have screenshots of everything, but since I'm a new user I can't attach files. I've saved all evidence of wrongdoing.

I will deliver justice.
14 replies
+2 w
User1239784
Today at 7:46 AM
LearnMath_105
15 minutes ago
Interesting inequality
sealight2107   6
N 18 minutes ago by TNKT
Source: Own
Let $a,b,c>0$ such that $a+b+c=3$. Find the minimum value of:
$Q=\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{1}{a^3+b^3+abc}+\frac{1}{b^3+c^3+abc}+\frac{1}{c^3+a^3+abc}$
6 replies
sealight2107
May 6, 2025
TNKT
18 minutes ago
truncated cone box packing problem
chomk   0
18 minutes ago
box : 48*48*32
truncated cone: upper circle(radius=2), lower circle(radius=8), height=12

how many truncated cones are packed in a box?

0 replies
chomk
18 minutes ago
0 replies
Dwarfes and river
RagvaloD   8
N 27 minutes ago by AngryKnot
Source: All Russian Olympiad 2017,Day1,grade 9,P3
There are $100$ dwarfes with weight $1,2,...,100$. They sit on the left riverside. They can not swim, but they have one boat with capacity 100. River has strong river flow, so every dwarf has power only for one passage from right side to left as oarsman. On every passage can be only one oarsman. Can all dwarfes get to right riverside?
8 replies
RagvaloD
May 3, 2017
AngryKnot
27 minutes ago
Hard Inequality
Asilbek777   1
N 36 minutes ago by m4thbl3nd3r
Waits for Solution
1 reply
Asilbek777
42 minutes ago
m4thbl3nd3r
36 minutes ago
Proving that these are concyclic.
Acrylic3491   1
N an hour ago by Funcshun840
In $\bigtriangleup ABC$, points $P$ and $Q$ are isogonal conjugates. The tangent to $(BPC)$ at $P$ and the tangent to $(BQC)$ at Q, meet at $R$. $AR$ intersects $(ABC)$ at $D$. Prove that points $P$,$Q$, $R$ and $D$ are concyclic.

Any hints on this ?
1 reply
Acrylic3491
Today at 9:06 AM
Funcshun840
an hour ago
Concurrent Gergonnians in Pentagon
numbertheorist17   18
N an hour ago by Ilikeminecraft
Source: USA TSTST 2014, Problem 2
Consider a convex pentagon circumscribed about a circle. We name the lines that connect vertices of the pentagon with the opposite points of tangency with the circle gergonnians.
(a) Prove that if four gergonnians are conncurrent, the all five of them are concurrent.
(b) Prove that if there is a triple of gergonnians that are concurrent, then there is another triple of gergonnians that are concurrent.
18 replies
numbertheorist17
Jul 16, 2014
Ilikeminecraft
an hour ago
Planes and cities
RagvaloD   11
N an hour ago by AngryKnot
Source: All Russian Olympiad 2017,Day1,grade 9,P1
In country some cities are connected by oneway flights( There are no more then one flight between two cities). City $A$ called "available" for city $B$, if there is flight from $B$ to $A$, maybe with some transfers. It is known, that for every 2 cities $P$ and $Q$ exist city $R$, such that $P$ and $Q$ are available from $R$. Prove, that exist city $A$, such that every city is available for $A$.
11 replies
RagvaloD
May 3, 2017
AngryKnot
an hour ago
Hard geometry
Lukariman   4
N an hour ago by Lukariman
Given circle (O) and chord AB with different diameters. The tangents of circle (O) at A and B intersect at point P. On the small arc AB, take point C so that triangle CAB is not isosceles. The lines CA and BP intersect at D, BC and AP intersect at E. Prove that the centers of the circles circumscribing triangles ACE, BCD and OPC are collinear.
4 replies
Lukariman
Today at 4:28 AM
Lukariman
an hour ago
Three concurrent circles
jayme   0
an hour ago
Source: own?
Dear Mathlinkers,

1. ABC a triangle
2. 0 the circumcircle
3. Tb, Tc the tangents to 0 wrt. B, C
4. D the point of intersection of Tb and Tc
5. B', C' the symmetrics of B, C wrt AC, AB
6. 1b, 1c the circumcircles of the triangles BB'D, CC'D.

Prove : 1b, 1c and 0 are concurrents.

Sincerely
Jean-Louis
0 replies
jayme
an hour ago
0 replies
Proving radical axis through orthocenter
azzam2912   1
N an hour ago by Funcshun840
In acute triangle $ABC$ let $D, E$ and $F$ denote the feet of the altitudes from $A, B$ and $C$, respectively. Let line $DE$ intersect circumcircle $ABC$ at points $G, H$. Similarly, let line $DF$ intersect circumcircle $ABC$ at points $I, J$. Prove that the radical axis of circles $EIJ$ and $FGH$ passes through the orthocenter of triangle $ABC$
1 reply
azzam2912
4 hours ago
Funcshun840
an hour ago
[MAIN ROUND STARTS MAY 17] OMMC Year 5
DottedCaculator   53
N 2 hours ago by Craftybutterfly
Hello to all creative problem solvers,

Do you want to work on a fun, untimed team math competition with amazing questions by MOPpers and IMO & EGMO medalists? $\phantom{You lost the game.}$
Do you want to have a chance to win thousands in cash and raffle prizes (no matter your skill level)?

Check out the fifth annual iteration of the

Online Monmouth Math Competition!

Online Monmouth Math Competition, or OMMC, is a 501c3 accredited nonprofit organization managed by adults, college students, and high schoolers which aims to give talented high school and middle school students an exciting way to develop their skills in mathematics.

Our website: https://www.ommcofficial.org/
Our Discord (6000+ members): https://tinyurl.com/joinommc
Test portal: https://ommc-test-portal.vercel.app/

This is not a local competition; any student 18 or younger anywhere in the world can attend. We have changed some elements of our contest format, so read carefully and thoroughly. Join our Discord or monitor this thread for updates and test releases.

How hard is it?

We plan to raffle out a TON of prizes over all competitors regardless of performance. So just submit: a few minutes of your time will give you a great chance to win amazing prizes!

How are the problems?

You can check out our past problems and sample problems here:
https://www.ommcofficial.org/sample
https://www.ommcofficial.org/2022-documents
https://www.ommcofficial.org/2023-documents
https://www.ommcofficial.org/ommc-amc

How will the test be held?/How do I sign up?

Solo teams?

Test Policy

Timeline:
Main Round: May 17th - May 24th
Test Portal Released. The Main Round of the contest is held. The Main Round consists of 25 questions that each have a numerical answer. Teams will have the entire time interval to work on the questions. They can submit any time during the interval. Teams are free to edit their submissions before the period ends, even after they submit.

Final Round: May 26th - May 28th
The top placing teams will qualify for this invitational round (5-10 questions). The final round consists of 5-10 proof questions. Teams again will have the entire time interval to work on these questions and can submit their proofs any time during this interval. Teams are free to edit their submissions before the period ends, even after they submit.

Conclusion of Competition: Early June
Solutions will be released, winners announced, and prizes sent out to winners.

Scoring:

Prizes:

I have more questions. Whom do I ask?

We hope for your participation, and good luck!

OMMC staff

OMMC’S 2025 EVENTS ARE SPONSORED BY:

[list]
[*]Nontrivial Fellowship
[*]Citadel
[*]SPARC
[*]Jane Street
[*]And counting!
[/list]


53 replies
1 viewing
DottedCaculator
Apr 26, 2025
Craftybutterfly
2 hours ago
9 JMO<200?
DreamineYT   5
N Today at 4:39 AM by xHypotenuse
Just wanted to ask
5 replies
DreamineYT
May 10, 2025
xHypotenuse
Today at 4:39 AM
Goals for 2025-2026
Airbus320-214   120
N Today at 3:55 AM by Schintalpati
Please write down your goal/goals for competitions here for 2025-2026.
120 replies
Airbus320-214
May 11, 2025
Schintalpati
Today at 3:55 AM
UCSD honors math meet placement
isache   0
Apr 27, 2025
Hi everyone, I got a 65/100 on the multiple choice at the UCSD honors math meet, and most likely ~85/100 on the proof. Does anyone know where that total score of 150/200 would generally place me (like top 25, 10,5,3)?
0 replies
isache
Apr 27, 2025
0 replies
UCSD honors math meet placement
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isache
442 posts
#1
Y by
Hi everyone, I got a 65/100 on the multiple choice at the UCSD honors math meet, and most likely ~85/100 on the proof. Does anyone know where that total score of 150/200 would generally place me (like top 25, 10,5,3)?
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