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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.
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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.

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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
A very beautiful geo problem
TheMathBob   4
N an hour ago by ravengsd
Source: Polish MO Finals P2 2023
Given an acute triangle $ABC$ with their incenter $I$. Point $X$ lies on $BC$ on the same side as $B$ wrt $AI$. Point $Y$ lies on the shorter arc $AB$ of the circumcircle $ABC$. It is given that $$\angle AIX = \angle XYA = 120^\circ.$$Prove that $YI$ is the angle bisector of $XYA$.
4 replies
TheMathBob
Mar 29, 2023
ravengsd
an hour ago
Difficult combinatorics problem
shactal   0
an hour ago
Can someone help me with this problem? Let $n\in \mathbb N^*$. We call a distribution the act of distributing the integers from $1$
to $n^2$ represented by tokens to players $A_1$ to $A_n$ so that they all have the same number of tokens in their urns.
We say that $A_i$ beats $A_j$ when, when $A_i$ and $A_j$ each draw a token from their urn, $A_i$ has a strictly greater chance of drawing a larger number than $A_j$. We then denote $A_i>A_j$. A distribution is said to be chicken-fox-viper when $A_1>A_2>\ldots>A_n>A_1$ What is $R(n)$
, the number of chicken-fox-viper distributions?
0 replies
shactal
an hour ago
0 replies
Cubic and Quadratic
mathisreal   3
N an hour ago by macves
Source: CIIM 2020 P2
Find all triples of positive integers $(a,b,c)$ such that the following equations are both true:
I- $a^2+b^2=c^2$
II- $a^3+b^3+1=(c-1)^3$
3 replies
mathisreal
Oct 26, 2020
macves
an hour ago
Inspired by Zhejiang 2025
sqing   1
N 2 hours ago by WallyWalrus
Source: Own
Let $ x,y,z $ be reals such that $ 5x^2+6y^2+6z^2-8yz\leq 5. $ Prove that$$ x+y+z\leq \sqrt{6}$$
1 reply
sqing
5 hours ago
WallyWalrus
2 hours ago
incircle excenter midpoints
danepale   9
N 2 hours ago by Want-to-study-in-NTU-MATH
Source: Middle European Mathematical Olympiad T-6
Let the incircle $k$ of the triangle $ABC$ touch its side $BC$ at $D$. Let the line $AD$ intersect $k$ at $L \neq D$ and denote the excentre of $ABC$ opposite to $A$ by $K$. Let $M$ and $N$ be the midpoints of $BC$ and $KM$ respectively.

Prove that the points $B, C, N,$ and $L$ are concyclic.
9 replies
danepale
Sep 21, 2014
Want-to-study-in-NTU-MATH
2 hours ago
geometry
gggzul   0
2 hours ago
Let $ABC$ be a triangle with $\angle ACB=90^{\circ}$. $D$ is the midpoint of $AC$. Let the angle bisector of $\angle ACB$ cut $BD$ at $P$ and $G$ be the centroid of $ABC$. $(CPG)$ meets $BC$ at $Q\ne C$ and $R$ is the projection of $Q$ onto $AB$. Prove that $R, G, P, A$ lie on a common circle.
0 replies
gggzul
2 hours ago
0 replies
Maximum Area of Triangle ABC
steven_zhang123   0
3 hours ago
Let the coordinates of point \( A \) be \( (0,3) \). Points \( B \) and \( C \) are two moving points on the circle \( O \): \( x^2+y^2=25 \), satisfying \( \angle BAC=90^\circ \). Find the maximum area of \( \triangle ABC \).
0 replies
steven_zhang123
3 hours ago
0 replies
IMO 2016 Problem 4
termas   56
N 3 hours ago by sansgankrsngupta
Source: IMO 2016 (day 2)
A set of positive integers is called fragrant if it contains at least two elements and each of its elements has a prime factor in common with at least one of the other elements. Let $P(n)=n^2+n+1$. What is the least possible positive integer value of $b$ such that there exists a non-negative integer $a$ for which the set $$\{P(a+1),P(a+2),\ldots,P(a+b)\}$$is fragrant?
56 replies
termas
Jul 12, 2016
sansgankrsngupta
3 hours ago
Interesting inequalities
sqing   3
N 3 hours ago by sqing
Source: Own
Let $a,b,c \geq 0 $ and $ abc+2(ab+bc+ca) =32.$ Show that
$$ka+b+c\geq 8\sqrt k-2k$$Where $0<k\leq 4. $
$$ka+b+c\geq 8 $$Where $ k\geq 4. $
$$a+b+c\geq 6$$$$2a+b+c\geq 8\sqrt 2-4$$
3 replies
sqing
May 15, 2025
sqing
3 hours ago
Every popular person is the best friend of a popular person?
yunxiu   8
N 3 hours ago by HHGB
Source: 2012 European Girls’ Mathematical Olympiad P6
There are infinitely many people registered on the social network Mugbook. Some pairs of (different) users are registered as friends, but each person has only finitely many friends. Every user has at least one friend. (Friendship is symmetric; that is, if $A$ is a friend of $B$, then $B$ is a friend of $A$.)
Each person is required to designate one of their friends as their best friend. If $A$ designates $B$ as her best friend, then (unfortunately) it does not follow that $B$ necessarily designates $A$ as her best friend. Someone designated as a best friend is called a $1$-best friend. More generally, if $n> 1$ is a positive integer, then a user is an $n$-best friend provided that they have been designated the best friend of someone who is an $(n-1)$-best friend. Someone who is a $k$-best friend for every positive integer $k$ is called popular.
(a) Prove that every popular person is the best friend of a popular person.
(b) Show that if people can have infinitely many friends, then it is possible that a popular person is not the best friend of a popular person.

Romania (Dan Schwarz)
8 replies
yunxiu
Apr 13, 2012
HHGB
3 hours ago
No math to big math in 42 days
observer04   2
N Today at 5:33 AM by Ruegerbyrd
CAN IT BE DONE





usajmo
2 replies
observer04
Today at 1:08 AM
Ruegerbyrd
Today at 5:33 AM
[TEST RELEASED] OMMC Year 5
DottedCaculator   73
N Today at 5:31 AM by Ruegerbyrd
Test portal: https://ommc-test-portal-2025.vercel.app/

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

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]
73 replies
DottedCaculator
Apr 26, 2025
Ruegerbyrd
Today at 5:31 AM
Essentially, how to get good at olympiad math?
gulab_jamun   1
N Today at 5:12 AM by Konigsberg
Ok, so I'm posting this as an anynonymous user cuz I don't want to get flamed by anyone I know for my goals but I really do want to improve on my math skill.

Basically, I'm alright at computational math (10 AIME, dhr stanford math meet twice) and I hope I can get good enough at olympiad math over the summer to make MOP next year (I will be entering 10th as after next year, it becomes much harder :( )) Essentially, I just want to get good at olympiad math. If someone could, please tell me how to study, like what books (currently thinking of doing EGMO) but I don't know how to get better at the other topics. Also, how would I prepare? Like would I study both proof geometry and proof number theory concurrently or just study each topic one by one?? Would I do mock jmo/amo or js prioritize olympiad problems in each topic. I have the whole summer ahead of me, and intend to dedicate it to olympiad math, so any advice would be really appreciated. Thank you!
1 reply
gulab_jamun
Today at 1:53 AM
Konigsberg
Today at 5:12 AM
9 best high school math competitions hosted by a college/university
ethan2011   16
N Today at 4:23 AM by aarush.rachak11
I only included college-hosted comps since MAA comps are very differently formatted, and IMO would easily beat the rest on quality since mathematicians around the world give questions, and so many problems are shortlisted, so IMO does release the IMO shortlist for people to practice. I also did not include the not as prestigious ones(like BRUMO, CUBRMC, and others), since most comps with very high quality questions are more prestigious(I did include other if you really think those questions are really good).
16 replies
ethan2011
Apr 12, 2025
aarush.rachak11
Today at 4:23 AM
Did anyone archive the AMC statistics from the old MAA website
Kevedu   11
N Apr 18, 2025 by programjames1
Hi everyone, this is the first time I'm writing something here(in comparison to the past 10 years of just looking at cool posts).

I'm looking for the amc statistics (all of the data) that was originally archived in this link

https://amc-reg.maa.org/reports/generalreports.aspx

It had some important data sets like: number of perfect scorers each year, the number of DHRs, item difficulty, difficulty by grade and gender, etc

If anyone archived the statistical data, pleeeeeaaase let me know!

thanks.
11 replies
Kevedu
Apr 18, 2025
programjames1
Apr 18, 2025
Did anyone archive the AMC statistics from the old MAA website
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Kevedu
4 posts
#1 • 1 Y
Y by programjames1
Hi everyone, this is the first time I'm writing something here(in comparison to the past 10 years of just looking at cool posts).

I'm looking for the amc statistics (all of the data) that was originally archived in this link

https://amc-reg.maa.org/reports/generalreports.aspx

It had some important data sets like: number of perfect scorers each year, the number of DHRs, item difficulty, difficulty by grade and gender, etc

If anyone archived the statistical data, pleeeeeaaase let me know!

thanks.
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lovematch13
667 posts
#2
Y by
I remember seeing it on some dark corner of MAA by googling MAA AMC statistics or something, for me it looked like a wall of broken formatting and some buttons at the bottom that made a functional table.
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Kevedu
4 posts
#3
Y by
lovematch13 wrote:
I remember seeing it on some dark corner of MAA by googling MAA AMC statistics or something, for me it looked like a wall of broken formatting and some buttons at the bottom that made a functional table.

that is the link that i found and was using for the past few years. Before that the format wasn't broken at all, but as time went by, the formatting broke but the data was still intact though. now the whole server is down and I worry if the data is irreversibly gone...
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Melissa.
6 posts
#4
Y by
Kevedu wrote:
Hi everyone, this is the first time I'm writing something here(in comparison to the past 10 years of just looking at cool posts).

I'm looking for the amc statistics (all of the data) that was originally archived in this link

https://amc-reg.maa.org/reports/generalreports.aspx

It had some important data sets like: number of perfect scorers each year, the number of DHRs, item difficulty, difficulty by grade and gender, etc

If anyone archived the statistical data, pleeeeeaaase let me know!

thanks.

DHR is the top 1%. Since around 25K students take the AMC 12 every year, that means the number of DHRs is 250.
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Melissa.
6 posts
#5
Y by
Kevedu wrote:
lovematch13 wrote:
I remember seeing it on some dark corner of MAA by googling MAA AMC statistics or something, for me it looked like a wall of broken formatting and some buttons at the bottom that made a functional table.

that is the link that i found and was using for the past few years. Before that the format wasn't broken at all, but as time went by, the formatting broke but the data was still intact though. now the whole server is down and I worry if the data is irreversibly gone...

Also, I doubt that an organization as responsible and respectable as MAA that oversees such important exams would just let the test result statistics disappear. Maybe email them about the issue.
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scannose
1015 posts
#6 • 5 Y
Y by hsuya1, aidan0626, Andrew2019, vincentwant, ninjaforce
Quote:
an organization as responsible and respectable as MAA
see here's where you're wrong
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Kevedu
4 posts
#7
Y by
scannose wrote:
Quote:
an organization as responsible and respectable as MAA
see here's where you're wrong

LOL
Z K Y
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Kevedu
4 posts
#8
Y by
Melissa. wrote:
Kevedu wrote:
Hi everyone, this is the first time I'm writing something here(in comparison to the past 10 years of just looking at cool posts).

I'm looking for the amc statistics (all of the data) that was originally archived in this link

https://amc-reg.maa.org/reports/generalreports.aspx

It had some important data sets like: number of perfect scorers each year, the number of DHRs, item difficulty, difficulty by grade and gender, etc

If anyone archived the statistical data, pleeeeeaaase let me know!

thanks.

DHR is the top 1%. Since around 25K students take the AMC 12 every year, that means the number of DHRs is 250.

So I do know that the DHR is top 1%, but they had like an EXACT number of DHR students each year and also their last names and grades and all
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bwu_2022
53 posts
#9
Y by
Would the following work: https://maa.edvistas.com/eduview/report.aspx?view=1561&mode=6?
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Rong0625
23 posts
#10
Y by
i think they are referring to statistics before the past couple years
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Andrew2019
2319 posts
#11 • 1 Y
Y by hsuya1
maybe use https://web.archive.org/?
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programjames1
3046 posts
#13
Y by
They took down the servers, so you can't access the data even if the frontend has been archived.
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