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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
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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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Frustration with Olympiad Geo
gulab_jamun   12
N 30 minutes ago by ohiorizzler1434
Ok, so right now, I am doing the EGMO book by Evan Chen, but when it comes to problems, there are some that just genuinely frustrate me and I don't know how to deal with them. For example, I've spent 1.5 hrs on the second to last question in chapter 2, and used all the hints, and I still am stuck. It just frustrates me incredibly. Any tips on managing this? (or.... am I js crashing out too much?)
12 replies
gulab_jamun
Yesterday at 2:13 PM
ohiorizzler1434
30 minutes ago
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Inequality by Po-Ru Loh
v_Enhance   57
N an hour ago by Learning11
Source: ELMO 2003 Problem 4
Let $x,y,z \ge 1$ be real numbers such that \[ \frac{1}{x^2-1} + \frac{1}{y^2-1} + \frac{1}{z^2-1} = 1. \] Prove that \[ \frac{1}{x+1} + \frac{1}{y+1} + \frac{1}{z+1} \le 1. \]
57 replies
v_Enhance
Dec 29, 2012
Learning11
an hour ago
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King's Constrained Walk
Hellowings   0
an hour ago
Source: Own
Given an n x n chessboard, with a king starting at any square, the king's task is to visit each square in the board exactly once (essentially an open path); this king moves how a king in chess would.
However, we are allowed to place k numbers on the board of any value such that for each number A we placed on the board, the king must be in the position of that number A on its Ath square in its journey, with the starting square as its 1st square.
Suppose after we placed k numbers, there is one and only one way to complete the king's task (this includes placing the king in a starting square), find the minimum value of k set by n.

Didn't know I could post it here xd; I'm unsure how hard this question could be.
0 replies
Hellowings
an hour ago
0 replies
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Plz give me the solution
Madunglecha   0
an hour ago
For given M
h(n) is defined as the number of which is relatively prime with M, and 1 or more and n or less.
As B is h(M)/M, prove that there are at least M/3 or more N such that satisfying the below inequality
|h(N)-BN| is under 1+sqrt(B×2^((the number of prime factor of M)-3))
0 replies
Madunglecha
an hour ago
0 replies
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Inspired by Darealzolt
sqing   0
2 hours ago
Source: Own
Let $ a,b,c\geq 1$ and $ a^2+b^2+c^2+abc=\frac{9}{2}. $ Prove that
$$3\left(\sqrt[3] 2+\frac{1}{\sqrt[3] 2} -1\right) \geq a+b+c\geq \frac{3+\sqrt{11}}{2}$$$$\frac{3}{2}\left(4+\sqrt[3] 4-\sqrt[3] 2\right) \geq a+b+c+ab+bc+ca\geq \frac{3(1+\sqrt{11})}{2}$$
0 replies
+1 w
sqing
2 hours ago
0 replies
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2024 IMO P1
EthanWYX2009   104
N 2 hours ago by SYBARUPEMULA
Source: 2024 IMO P1
Determine all real numbers $\alpha$ such that, for every positive integer $n,$ the integer
$$\lfloor\alpha\rfloor +\lfloor 2\alpha\rfloor +\cdots +\lfloor n\alpha\rfloor$$is a multiple of $n.$ (Note that $\lfloor z\rfloor$ denotes the greatest integer less than or equal to $z.$ For example, $\lfloor -\pi\rfloor =-4$ and $\lfloor 2\rfloor= \lfloor 2.9\rfloor =2.$)

Proposed by Santiago Rodríguez, Colombia
104 replies
EthanWYX2009
Jul 16, 2024
SYBARUPEMULA
2 hours ago
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2-var inequality
sqing   8
N 2 hours ago by sqing
Source: Own
Let $ a,b>0 , a^2+b^2-ab\leq 1 . $ Prove that
$$a^3+b^3 -\frac{a^4}{b+1} -\frac{b^4}{a+1} \leq 1 $$
8 replies
sqing
May 27, 2025
sqing
2 hours ago
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Mustang Math Recruitment is Open!
MustangMathTournament   6
N 2 hours ago by Helena_Liang
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
6 replies
MustangMathTournament
May 24, 2025
Helena_Liang
2 hours ago
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ai+aj is the multiple of n
Jackson0423   0
2 hours ago

Consider an increasing sequence of integers \( a_n \).
For every positive integer \( n \), there exist indices \( 1 \leq i < j \leq n \) such that \( a_i + a_j \) is divisible by \( n \).
Given that \( a_1 \geq 1 \), find the minimum possible value of \( a_{100} \).
0 replies
Jackson0423
2 hours ago
0 replies
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Addition on the IMO
naman12   139
N 3 hours ago by ezpotd
Source: IMO 2020 Problem 1
Consider the convex quadrilateral $ABCD$. The point $P$ is in the interior of $ABCD$. The following ratio equalities hold:
\[\angle PAD:\angle PBA:\angle DPA=1:2:3=\angle CBP:\angle BAP:\angle BPC\]Prove that the following three lines meet in a point: the internal bisectors of angles $\angle ADP$ and $\angle PCB$ and the perpendicular bisector of segment $AB$.

Proposed by Dominik Burek, Poland
139 replies
naman12
Sep 22, 2020
ezpotd
3 hours ago
J
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IMO ShortList 1998, number theory problem 5
orl   66
N 4 hours ago by lksb
Source: IMO ShortList 1998, number theory problem 5
Determine all positive integers $n$ for which there exists an integer $m$ such that ${2^{n}-1}$ is a divisor of ${m^{2}+9}$.
66 replies
orl
Oct 22, 2004
lksb
4 hours ago
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2020 EGMO P5: P is the incentre of CDE
alifenix-   50
N 4 hours ago by EpicBird08
Source: 2020 EGMO P5
Consider the triangle $ABC$ with $\angle BCA > 90^{\circ}$. The circumcircle $\Gamma$ of $ABC$ has radius $R$. There is a point $P$ in the interior of the line segment $AB$ such that $PB = PC$ and the length of $PA$ is $R$. The perpendicular bisector of $PB$ intersects $\Gamma$ at the points $D$ and $E$.

Prove $P$ is the incentre of triangle $CDE$.
50 replies
alifenix-
Apr 18, 2020
EpicBird08
4 hours ago
J
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[CASH PRIZES] IndyINTEGIRLS Spring Math Competition
Indy_Integirls   75
N Yesterday at 9:01 PM by Audreyma0321
[center]IMAGE

Greetings, AoPS! IndyINTEGIRLS will be hosting a virtual math competition on May 25,
2024 from 12 PM to 3 PM EST. Join other woman-identifying and/or non-binary "STEMinists" in solving problems, socializing, playing games, winning prizes, and more! If you are interested in competing, please register here![/center]

----------

[center]Important Information[/center]

Eligibility: This competition is open to all woman-identifying and non-binary students in middle and high school. Non-Indiana residents and international students are welcome as well!

Format: There will be a middle school and high school division. In each separate division, there will be an individual round and a team round, where students are grouped into teams of 3-4 and collaboratively solve a set of difficult problems. There will also be a buzzer/countdown/Kahoot-style round, where students from both divisions are grouped together to compete in a MATHCOUNTS-style countdown round! There will be prizes for the top competitors in each division.

Problem Difficulty: Our amazing team of problem writers is working hard to ensure that there will be problems for problem-solvers of all levels! The middle school problems will range from MATHCOUNTS school round to AMC 10 level, while the high school problems will be for more advanced problem-solvers. The team round problems will cover various difficulty levels and are meant to be more difficult, while the countdown/buzzer/Kahoot round questions will be similar to MATHCOUNTS state to MATHCOUNTS Nationals countdown round in difficulty.

Platform: This contest will be held virtually through Zoom. All competitors are required to have their cameras turned on at all times unless they have a reason for otherwise. Proctors and volunteers will be monitoring students at all times to prevent cheating and to create a fair environment for all students.

Prizes: At this moment, prizes are TBD, and more information will be provided and attached to this post as the competition date approaches. Rest assured, IndyINTEGIRLS has historically given out very generous cash prizes, and we intend on maintaining this generosity into our Spring Competition.

Contact & Connect With Us: Email us at indy@integirls.org.

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[center]Help Us Out

Please help us in sharing the news of this competition! Our amazing team of officers has worked very hard to provide this educational opportunity to as many students as possible, and we would appreciate it if you could help us spread the word!
75 replies
Indy_Integirls
May 11, 2025
Audreyma0321
Yesterday at 9:01 PM
J
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Perfect Square Dice
asp211   68
N Yesterday at 7:09 PM by xHypotenuse
Source: 2019 AIME II #4
A standard six-sided fair die is rolled four times. The probability that the product of all four numbers rolled is a perfect square is $\tfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.
68 replies
asp211
Mar 22, 2019
xHypotenuse
Yesterday at 7:09 PM
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HCSSiM results
SurvivingInEnglish   75
N May 24, 2025 by cowstalker
Anyone already got results for HCSSiM? Are there any point in sending additional work if I applied on March 19?
75 replies
SurvivingInEnglish
Apr 5, 2024
cowstalker
May 24, 2025
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HCSSiM results
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Reveal topic tags
HCSSiM
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smiley
113 posts
smiley
#66 h  May 8, 2025, 5:19 PM • 4 Y
Y by Danielzh, lpieleanu, cowstalker, trk08
Just going to chime in on this from over here at HCSSiM headquarters -- First of all, for those of you who applied, thanks for your interest and also mostly thank you for your patience as we review applications.

We were slightly surprised by the volume of very-last-day applications we got (we were expecting to get 150-ish and got about 250). We also have some temporary internal reductions in staff due to illness that means that our application processing time and email response time have both been slightly slower than usual (1-3 business days on emails instead of 1-2; about 20-22 days on applications instead of 17). Our decisions often don't come out linearly, but our records show that we've sent decisions to approximately everyone who submitted their ITs before April 17 (aside from a couple of people whose sponsor's letters or additional work came in later), and to many others who applied later than that. If you submitted your IT on the 25th, and haven't gotten a decision yet, you'll probably get it sometime late next week or early the week after. Earlier IT submissions will mostly get decisions within the next 1-3 business days.

If you have a conflicting deadline and need a response before May 17, please write to us and we'll do our best to accommodate, but if you do NOT have a conflicting deadline, please do not write to us — we're trying to get through admissions as quickly as possible which is very high workflow and more emails slows that down. You will get a decision if you submitted your IT, I promise. Last year, our very last batch of decisions went out on 5/21. We're doing our best to have it be comparable or earlier this year.

(Also yes you can still submit additional work, basically until you receive your decision, but know that it'll probably mean you have a little longer to wait before you get your decision letter.)
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cowstalker
297 posts
cowstalker
#67 h  May 8, 2025, 5:26 PM • 1 Y
Y by smiley
smiley wrote:
Just going to chime in on this from over here at HCSSiM headquarters -- First of all, for those of you who applied, thanks for your interest and also mostly thank you for your patience as we review applications.

We were slightly surprised by the volume of very-last-day applications we got (we were expecting to get 150-ish and got about 250). We also have some temporary internal reductions in staff due to illness that means that our application processing time and email response time have both been slightly slower than usual (1-3 business days on emails instead of 1-2; about 20-22 days on applications instead of 17). Our decisions often don't come out linearly, but our records show that we've sent decisions to approximately everyone who submitted their ITs before April 17 (aside from a couple of people whose sponsor's letters or additional work came in later), and to many others who applied later than that. If you submitted your IT on the 25th, and haven't gotten a decision yet, you'll probably get it sometime late next week or early the week after. Earlier IT submissions will mostly get decisions within the next 1-3 business days.

If you have a conflicting deadline and need a response before May 17, please write to us and we'll do our best to accommodate, but if you do NOT have a conflicting deadline, please do not write to us — we're trying to get through admissions as quickly as possible which is very high workflow and more emails slows that down. You will get a decision if you submitted your IT, I promise. Last year, our very last batch of decisions went out on 5/21. We're doing our best to have it be comparable or earlier this year.

(Also yes you can still submit additional work, basically until you receive your decision, but know that it'll probably mean you have a little longer to wait before you get your decision letter.)

So sorry to hear about the staff's illness. Hope the staff gets better!
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KevinChen_Yay
242 posts
KevinChen_Yay
#68 h  May 8, 2025, 11:52 PM • 1 Y
Y by PikaPika999
same! we need orz staff (how so orz)
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Ruegerbyrd
1108 posts
Ruegerbyrd
#69 h  May 10, 2025, 9:36 PM • 1 Y
Y by PikaPika999
are we allowed to discuss IT problems?
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NoSignOfTheta
1748 posts
NoSignOfTheta
#70 h  May 10, 2025, 9:51 PM • 1 Y
Y by PikaPika999
One reason you’ve applied to HCSSiM is that you enjoy sharing mathematics—but please do not share or discuss these problems.
(Instead, encourage eligible people to apply, promptly, to the Summer Studies themselves.)
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math_on_top
28 posts
math_on_top
#71 h  May 11, 2025, 9:11 PM
Y by
If I have not received a decision yet, does that mean I'm still in the running? Does anyone know if HCSSIM sends acceptance letters or rejection letters first?
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KevinChen_Yay
242 posts
KevinChen_Yay
#72 h  May 11, 2025, 9:12 PM
Y by
i didnt get my application decision yet, chat am i cooked

(edit: didn't see the above post lol, also @above my friend got rejected like a week ago and he applied later than me i think i don't know if this says anything tho)
This post has been edited 3 times. Last edited by KevinChen_Yay, May 11, 2025, 9:13 PM
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math_on_top
28 posts
math_on_top
#73 h  May 11, 2025, 9:20 PM
Y by
@above when did you submit you r application? I submitted my IT on the 17th but then my additional work on the 25th
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MathWizardThatCanBeatYou
95 posts
MathWizardThatCanBeatYou
#74 h  May 11, 2025, 10:23 PM • 1 Y
Y by KevinChen_Yay
@math_on_top if you submitted ur work and have not received a decision, then yes, u are still in the running. And they don’t send acceptances or rejection letters first.
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math_on_top
28 posts
math_on_top
#75 h  May 14, 2025, 12:14 AM
Y by
upfdate rejectede :sob:
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KevinChen_Yay
242 posts
KevinChen_Yay
#76 h  May 14, 2025, 8:32 PM
Y by
math_on_top wrote:
@above when did you submit you r application? I submitted my IT on the 17th but then my additional work on the 25th

my first was april 14th then april 20th for my additional work lol
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KevinChen_Yay
242 posts
KevinChen_Yay
#77 h  May 14, 2025, 8:34 PM
Y by
math_on_top wrote:
upfdate rejectede :sob:

noooo

its fine bro next yr

i still havent received mine back yet
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YauYauFilter
9 posts
YauYauFilter
#78 h  May 15, 2025, 9:04 AM
Y by
Which email should you email if you want to contact the HCSSiM admissions team?
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smiley
113 posts
smiley
#79 h  May 15, 2025, 1:20 PM • 1 Y
Y by YauYauFilter
Please email our Program Coordinator Susan! Her email is the reply email to most mailings, and is also findable in the third paragraph of the cover page of the IT. Thanks!
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cowstalker
297 posts
cowstalker
#80 h  May 24, 2025, 7:25 PM
Y by
rejected :(
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