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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)!

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[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
J
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Incircle in an isoscoles triangle
Sadigly   0
2 hours ago
Source: own
Let $ABC$ be an isosceles triangle with $AB=AC$, and let $I$ be its incenter. Incircle touches sides $BC,CA,AB$ at $D,E,F$, respectively. Foot of altitudes from $E,F$ to $BC$ are $X,Y$ , respectively. Rays $XI,YI$ intersect $(ABC)$ at $P,Q$, respectively. Prove that $(PQD)$ touches incircle at $D$.
0 replies
Sadigly
2 hours ago
0 replies
J
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A sharp one with 3 var
mihaig   3
N 2 hours ago by mihaig
Source: Own
Let $a,b,c\geq0$ satisfying
$$\left(a+b+c-2\right)^2+8\leq3\left(ab+bc+ca\right).$$Prove
$$ab+bc+ca+abc\geq4.$$
3 replies
mihaig
May 13, 2025
mihaig
2 hours ago
J
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Acute triangle, equality of areas
mruczek   5
N 2 hours ago by LeYohan
Source: XIII Polish Junior MO 2018 Second Round - Problem 2
Let $ABC$ be an acute traingle with $AC \neq BC$. Point $K$ is a foot of altitude through vertex $C$. Point $O$ is a circumcenter of $ABC$. Prove that areas of quadrilaterals $AKOC$ and $BKOC$ are equal.
5 replies
mruczek
Apr 24, 2018
LeYohan
2 hours ago
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camp/class recommendations for incoming freshman
walterboro   11
N 2 hours ago by Pengu14
hi guys, i'm about to be an incoming freshman, does anyone have recommendations for classes to take next year and camps this summer? i am sure that i can aime qual but not jmo qual yet. ty
11 replies
+1 w
walterboro
May 10, 2025
Pengu14
2 hours ago
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Metamorphosis of Medial and Contact Triangles
djmathman   102
N 2 hours ago by Mathandski
Source: 2014 USAJMO Problem 6
Let $ABC$ be a triangle with incenter $I$, incircle $\gamma$ and circumcircle $\Gamma$. Let $M,N,P$ be the midpoints of sides $\overline{BC}$, $\overline{CA}$, $\overline{AB}$ and let $E,F$ be the tangency points of $\gamma$ with $\overline{CA}$ and $\overline{AB}$, respectively. Let $U,V$ be the intersections of line $EF$ with line $MN$ and line $MP$, respectively, and let $X$ be the midpoint of arc $BAC$ of $\Gamma$.

(a) Prove that $I$ lies on ray $CV$.

(b) Prove that line $XI$ bisects $\overline{UV}$.
102 replies
djmathman
Apr 30, 2014
Mathandski
2 hours ago
J
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Gives typical russian combinatorics vibes
Sadigly   3
N 3 hours ago by AL1296
Source: Azerbaijan Senior MO 2025 P3
You are given a positive integer $n$. $n^2$ amount of people stand on coordinates $(x;y)$ where $x,y\in\{0;1;2;...;n-1\}$. Every person got a water cup and two people are considered to be neighbour if the distance between them is $1$. At the first minute, the person standing on coordinates $(0;0)$ got $1$ litres of water, and the other $n^2-1$ people's water cup is empty. Every minute, two neighbouring people are chosen that does not have the same amount of water in their water cups, and they equalize the amount of water in their water cups.

Prove that, no matter what, the person standing on the coordinates $(x;y)$ will not have more than $\frac1{x+y+1}$ litres of water.
3 replies
Sadigly
May 8, 2025
AL1296
3 hours ago
J
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ranttttt
alcumusftwgrind   41
N 3 hours ago by meyler
rant
41 replies
alcumusftwgrind
Apr 30, 2025
meyler
3 hours ago
J
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high tech FE as J1?!
imagien_bad   62
N 3 hours ago by jasperE3
Source: USAJMO 2025/1
Let $\mathbb Z$ be the set of integers, and let $f\colon \mathbb Z \to \mathbb Z$ be a function. Prove that there are infinitely many integers $c$ such that the function $g\colon \mathbb Z \to \mathbb Z$ defined by $g(x) = f(x) + cx$ is not bijective.
Note: A function $g\colon \mathbb Z \to \mathbb Z$ is bijective if for every integer $b$, there exists exactly one integer $a$ such that $g(a) = b$.
62 replies
imagien_bad
Mar 20, 2025
jasperE3
3 hours ago
J
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Triangular Numbers in action
integrated_JRC   29
N 3 hours ago by Aiden-1089
Source: RMO 2018 P5
Find all natural numbers $n$ such that $1+[\sqrt{2n}]~$ divides $2n$.

( For any real number $x$ , $[x]$ denotes the largest integer not exceeding $x$. )
29 replies
integrated_JRC
Oct 7, 2018
Aiden-1089
3 hours ago
J
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Cute property of Pascal hexagon config
Miquel-point   1
N 4 hours ago by FarrukhBurzu
Source: KoMaL B. 5444
In cyclic hexagon $ABCDEF$ let $P$ denote the intersection of diagonals $AD$ and $CF$, and let $Q$ denote the intersection of diagonals $AE$ and $BF$. Prove that if $BC=CP$ and $DP=DE$, then $PQ$ bisects angle $BQE$.

Proposed by Géza Kós, Budapest
1 reply
Miquel-point
5 hours ago
FarrukhBurzu
4 hours ago
J
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Number theory problem
Angelaangie   3
N 4 hours ago by megarnie
Source: JBMO 2007
Prove that 7p+3^p-4 it is not a perfect square where p is prime.
3 replies
Angelaangie
Jun 19, 2018
megarnie
4 hours ago
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another n x n table problem.
pohoatza   3
N 4 hours ago by reni_wee
Source: Romanian JBTST III 2007, problem 3
Consider a $n$x$n$ table such that the unit squares are colored arbitrary in black and white, such that exactly three of the squares placed in the corners of the table are white, and the other one is black. Prove that there exists a $2$x$2$ square which contains an odd number of unit squares white colored.
3 replies
pohoatza
May 13, 2007
reni_wee
4 hours ago
J
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Concurrency from isogonal Mittenpunkt configuration
MarkBcc168   18
N 4 hours ago by ihategeo_1969
Source: Fake USAMO 2020 P3
Let $\triangle ABC$ be a scalene triangle with circumcenter $O$, incenter $I$, and incircle $\omega$. Let $\omega$ touch the sides $\overline{BC}$, $\overline{CA}$, and $\overline{AB}$ at points $D$, $E$, and $F$ respectively. Let $T$ be the projection of $D$ to $\overline{EF}$. The line $AT$ intersects the circumcircle of $\triangle ABC$ again at point $X\ne A$. The circumcircles of $\triangle AEX$ and $\triangle AFX$ intersect $\omega$ again at points $P\ne E$ and $Q\ne F$ respectively. Prove that the lines $EQ$, $FP$, and $OI$ are concurrent.

Proposed by MarkBcc168.
18 replies
MarkBcc168
Apr 28, 2020
ihategeo_1969
4 hours ago
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Anything real in this system must be integer
Assassino9931   8
N 4 hours ago by Abdulaziz_Radjabov
Source: Al-Khwarizmi International Junior Olympiad 2025 P1
Determine the largest integer $c$ for which the following statement holds: there exists at least one triple $(x,y,z)$ of integers such that
\begin{align*} x^2 + 4(y + z) = y^2 + 4(z + x) = z^2 + 4(x + y) = c \end{align*}and all triples $(x,y,z)$ of real numbers, satisfying the equations, are such that $x,y,z$ are integers.

Marek Maruin, Slovakia
8 replies
Assassino9931
May 9, 2025
Abdulaziz_Radjabov
4 hours ago
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MOP Emails
hellohannah   120
N Apr 22, 2025 by GrantStar
So mop emails are probably coming tomorrow, feel free to discuss here. I'll probably post when I hear that they're out unless I'm asleep
120 replies
hellohannah
Apr 21, 2025
GrantStar
Apr 22, 2025
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MOP Emails
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Reveal topic tags
email
MOP
everyonehereisorz
exceptme
awesomeness_in_a_bun
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G H BBookmark kLocked kLocked NReply
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LearnMath_105
152 posts
LearnMath_105
#118 h  Apr 22, 2025, 3:54 PM
Y by
medals come out soon (4 days last year) after MOP emails
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mulberrykid
141 posts
mulberrykid
#119 h  Apr 22, 2025, 3:59 PM
Y by
I heard metals will be posted before MOP emails for this year.
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mulberrykid
141 posts
mulberrykid
#120 h  Apr 22, 2025, 4:07 PM
Y by
imagien_bad wrote:
mulberrykid wrote:
Can somebody call MAA and ask when metals will come out?

you call them

i have no phone
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pingpongmerrily
3667 posts
pingpongmerrily
#121 h  Apr 22, 2025, 4:08 PM
Y by
mulberrykid wrote:
I heard metals will be posted before MOP emails for this year.

*medals
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Alex-131
5391 posts
Alex-131
#122 h  Apr 22, 2025, 4:13 PM
Y by
pingpongmerrily wrote:
mulberrykid wrote:
I heard metals will be posted before MOP emails for this year.

*medals

no he meant metals from the international precious metals institute.
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hashbrown2009
193 posts
hashbrown2009
#123 h  Apr 22, 2025, 4:16 PM • 3 Y
Y by falliinqsnow-, megarnie, scannose
MAA will mail out a block of gold, silver, bronze, and a piece of stone labeled "Honorable Mention" for USAMO
for USAJMO they give out platinum labeled "Top Honors", Osmium labeled "Honors", and copper labeled "Honorable Mention"

New feature for MAA, metals


see
This post has been edited 1 time. Last edited by hashbrown2009, Apr 22, 2025, 4:17 PM
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imagien_bad
58 posts
imagien_bad
#124 h  Apr 22, 2025, 4:43 PM • 1 Y
Y by KevinYang2.71
i am go ing in sane
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Martin2001
156 posts
Martin2001
#125 h  Apr 22, 2025, 5:22 PM
Y by
guys it's probably gonna come later in afternoon but please check for me :omighty:
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vincentwant
1423 posts
vincentwant
#130 h  Apr 22, 2025, 5:41 PM
Y by
ethan2011 wrote:
Orthogonal. wrote:
hashbrown2009 wrote:
Any moment now Im waiting for MOP email

Hi waiting for MOP email, im dad-bot.

hi going to college next year, im dad-bot.

people from austin math circle seeing this (neuron activation):
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Ryan2010
368 posts
Ryan2010
#131 h  Apr 22, 2025, 5:52 PM
Y by
Martin2001 wrote:
guys it's probably gonna come later in afternoon but please check for me :omighty:

nah maa emailed me and said its gona come out in 2 months
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hashbrown2009
193 posts
hashbrown2009
#132 h  Apr 22, 2025, 6:04 PM
Y by
According to this post: https://artofproblemsolving.com/community/c5h3553913_usajmo_scores_will_be_released_today
USA(J)MO scores are coming out today and awards/medals next week
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imagien_bad
58 posts
imagien_bad
#133 h  Apr 22, 2025, 6:07 PM • 2 Y
Y by elasticwealth, vincentwant
guys check you portals i got a thing for jmo scores but next to no score :sus:
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elasticwealth
342 posts
elasticwealth
#134 h  Apr 22, 2025, 6:10 PM
Y by
imagien_bad wrote:
guys check you portals i got a thing for jmo scores but next to no score :sus:

I thought this was a troll. However, after checking, I confirm this is true.
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ethan2011
324 posts
ethan2011
#135 h  Apr 22, 2025, 8:29 PM
Y by
KevinYang2.71 wrote:
Emails are out.
Can you confirm
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GrantStar
821 posts
GrantStar
#136 h  Apr 22, 2025, 8:30 PM
Y by
GrantStar wrote:
maxamc wrote:
https://maa.org/wp-content/uploads/2024/07/2025-MOP-RFP.pdf

this is incorrect, i think that document is out of date or something

Confirmed to be June 11 - July 2
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