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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
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0 replies
jlacosta
Mar 2, 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
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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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Day Before Tips
elasticwealth   57
N 11 minutes ago by Pengu14
Hi Everyone,

USA(J)MO is tomorrow. I am a Junior, so this is my last chance. I made USAMO by ZERO points but I've actually been studying oly seriously since JMO last year. I am more stressed than I was before AMC/AIME because I feel Olympiad is more unpredictable and harder to prepare for. I am fairly confident in my ability to solve 1/4 but whether I can solve the rest really leans on the topic distribution.

Anyway, I'm just super stressed and not sure what to do. All tips are welcome!

Thanks everyone! Good luck tomorrow!
57 replies
1 viewing
elasticwealth
Yesterday at 12:09 AM
Pengu14
11 minutes ago
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usa(j)mo discus
Pengu14   1
N 17 minutes ago by giratina3
Can someone post the problems at 8 am?
1 reply
+1 w
Pengu14
41 minutes ago
giratina3
17 minutes ago
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Combinatorial NT involving sum of fractional parts
Photaesthesia   14
N 32 minutes ago by jjjppp110
Source: 2025 China Mathematical Olympiad Day 1 Problem 3
Let \(a_1, a_2, \ldots, a_n\) be integers such that \(a_1 > a_2 > \cdots > a_n > 1\). Let \(M = \operatorname{lcm} \left( a_1, a_2, \ldots, a_n \right)\). For any finite nonempty set $X$ of positive integers, define \[ f(X) = \min_{1 \leqslant i \leqslant n} \sum_{x \in X} \left\{ \frac{x}{a_i} \right\}. \]Such a set $X$ is called minimal if for every proper subset $Y$ of it, $f(Y) < f(X)$ always holds.

Suppose $X$ is minimal and $f(X) \geqslant \frac{2}{a_n}$. Prove that \[ |X| \leqslant f(X) \cdot M. \]
14 replies
Photaesthesia
Nov 27, 2024
jjjppp110
32 minutes ago
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Abelkonkurransen 2025 4a
Lil_flip38   0
39 minutes ago
Source: abelkonkurransen
Find all polynomials \(P\) with real coefficients satisfying
$$P(\frac{1}{1+x})=\frac{1}{1+P(x)}$$for all real numbers \(x\neq -1\)
0 replies
Lil_flip38
39 minutes ago
0 replies
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p^2+3*p*q+q^2
mathbetter   3
N 40 minutes ago by mathbetter
\[ \text{Find all prime numbers } (p, q) \text{ such that } p^2 + 3pq + q^2 \text{ is a fifth power of an integer.} \]
3 replies
mathbetter
Mar 15, 2025
mathbetter
40 minutes ago
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Abelkonkurransen 2025 3b
Lil_flip38   0
42 minutes ago
Source: abelkonkurransen
An acute angled triangle \(ABC\) has circumcenter \(O\). The lines \(AO\) and \(BC\) intersect at \(D\), while \(BO\) and \(AC\) intersect at \(E\) and \(CO\) and \(AB\) intersect at \(F\). Show that if the triangles \(ABC\) and \(DEF\) are similar(with vertices in that order), than \(ABC\) is equilateral.
0 replies
Lil_flip38
42 minutes ago
0 replies
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Abelkonkurransen 2025 2b
Lil_flip38   0
an hour ago
Source: abelkonkurransen
Which positive integers $a$ have the property that \(n!-a\) is a perfect square for infinitely many positive integers \(n\)?
0 replies
Lil_flip38
an hour ago
0 replies
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Degree inequality
F_Xavier1203   7
N an hour ago by lminsl
Source: 2022 Korea Winter Program Practice Test
Let $n\ge 2$ be a positive integer. There are $n$ real coefficient polynomials $P_1(x),P_2(x),\cdots ,P_n(x)$ which is not all the same, and their leading coefficients are positive. Prove that
$$\deg(P_1^n+P_2^n+\cdots +P_n^n-nP_1P_2\cdots P_n)\ge (n-2)\max_{1\le i\le n}(\deg P_i)$$and find when the equality holds.
7 replies
F_Xavier1203
Aug 14, 2022
lminsl
an hour ago
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Abelkonkurransen 2025 2a
Lil_flip38   0
an hour ago
Source: Abelkonkurransen
A teacher asks each of eleven pupils to write a positive integer with at most four digits, each on a separate yellow sticky note. Show that if all the numbers are different, the teacher can always submit two or more of the eleven stickers so that the average of the numbers on the selected notes are not an integer.
0 replies
Lil_flip38
an hour ago
0 replies
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Abelkonkurransen 2025 1b
Lil_flip38   0
an hour ago
Source: abelkonkurransen
In Duckville there is a perpetual trophy with the words “Best child of Duckville” engraved on it. Each inhabitant of Duckville has a non-empty list (which never changes) of other inhabitants of Duckville. Whoever receives the trophy
gets to keep it for one day, and then passes it on to someone on their list the next day. Gregers has previously received the trophy. It turns out that each time he does receive it, he is guaranteed to receive it again exactly $2025$ days later (but perhaps earlier, as well). Hedvig received the trophy today. Determine all integers $n>0$ for which we can be absolutely certain that she cannot receive the trophy again in $n$ days, given the above information.
0 replies
Lil_flip38
an hour ago
0 replies
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Abelkonkurransen 2025 1a
Lil_flip38   0
an hour ago
Source: abelkonkurransen
Peer and Solveig are playing a game with $n$ coins, all of which show $M$ on one side and $K$ on the opposite side. The coins are laid out in a row on the table. Peer and Solveig alternate taking turns. On his turn, Peer may turn over one or more coins, so long as he does not turn over two adjacent coins. On her turn, Solveig picks precisely two adjacent coins and turns them over. When the game begins, all the coins are showing $M$. Peer plays first, and he wins if all the coins show $K$ simultaneously at any time. Find all $n\geqslant 2$ for which Solveig can keep Peer from winning.
0 replies
Lil_flip38
an hour ago
0 replies
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Like Father Like Son... (or Like Grandson?)
AlperenINAN   2
N an hour ago by atdaotlohbh
Source: Turkey TST 2025 P4
Let $a,b,c$ be given pairwise coprime positive integers where $a>bc$. Let $m<n$ be positive integers. We call $m$ to be a grandson of $n$ if and only if, for all possible piles of stones whose total mass adds up to $n$ and consist of stones with masses $a,b,c$, it's possible to take some of the stones out from this pile in a way that in the end, we can obtain a new pile of stones with total mass of $m$. Find the greatest possible number that doesn't have any grandsons.
2 replies
AlperenINAN
Mar 18, 2025
atdaotlohbh
an hour ago
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Burnout?
xHypotenuse   15
N an hour ago by Pengu14
Hello everyone, these days I have a burning urge to pick up new math concepts because I think they are important/interesting. But I also feel a constant burnout where I get really tired when I try to solve math problems of these new concepts. I can't and then it gets very demotivating. I don't want to take a break from math because solving problems have become such a natural part of me and also I really want to qualify for usamo next year (my last year I can since it's senior yr). Any suggestions?
15 replies
xHypotenuse
Tuesday at 7:32 PM
Pengu14
an hour ago
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Gunn Math Competition
the_math_prodigy   14
N 5 hours ago by aarush.rachak11
Gunn Math Circle is excited to host the fourth annual Gunn Math Competition (GMC)! GMC will take place at Gunn High School in Palo Alto, California on Sunday, March 30th. Gather a team of up to four and compete for over $7,500 in prizes! The contest features three rounds: Individual, Guts, and Team. We welcome participants of all skill levels, with separate Beginner and Advanced divisions for all students.

Registration is free and now open at compete.gunnmathcircle.org. The deadline to sign up is March 27th.

Special Guest Speaker: Po-Shen Loh!!!
We are honored to welcome Po-Shen Loh, a world-renowned mathematician, Carnegie Mellon professor, and former coach of the USA International Math Olympiad team. He will deliver a 30-minute talk to both students and parents, offering deep insights into mathematical thinking and problem-solving in the age of AI!

View competition manual, schedule, prize pool at compete.gunnmathcircle.org . For any questions, reach out at ghsmathcircle@gmail.com or ask in Discord.
14 replies
the_math_prodigy
Mar 8, 2025
aarush.rachak11
5 hours ago
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hcssim application question
enya_yurself   4
N Yesterday at 7:54 PM by akliu
do they send the Interesting Test to everyone who applied or do they read the friendly letter first and only send to the kids they like?
4 replies
enya_yurself
Mar 17, 2025
akliu
Yesterday at 7:54 PM
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hcssim application question
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Reveal topic tags
HCSSiM
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enya_yurself
69 posts
enya_yurself
#1 h  Mar 17, 2025, 11:13 PM
Y by
do they send the Interesting Test to everyone who applied or do they read the friendly letter first and only send to the kids they like?
Z K Y
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lpieleanu
2807 posts
lpieleanu
#2 h  Mar 17, 2025, 11:23 PM
Y by
In the automated email following a submission of the preliminary form, it states that the Interesting Test will be sent on March 17, so it is sent to everyone.
Z K Y
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Magnetoninja
270 posts
Magnetoninja
#3 h  Mar 18, 2025, 1:35 AM
Y by
I believe they send to kids they like, I could be wrong tho
Z K Y
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dppvlit123
15 posts
dppvlit123
#4 h  Tuesday at 7:30 PM
Y by
Probably not, they emailed me 4 minutes after I sent mine in
Z K Y
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akliu
1726 posts
akliu
#5 h  Yesterday at 7:54 PM
Y by
to those who have already done HCSSiM applications before, when I want to submit the Interesting Test, do I just scan a printed out version of the test with my pencil work on there? also, do you think it would be fine if I just provided a latex-ed solutions document instead?
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