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k a August Highlights and 2025 AoPS Online Class Information
jwelsh   0
Aug 1, 2025
CONGRATULATIONS to all the competitors at this year’s International Mathematical Olympiad (IMO)! The US Team took second place with 5 gold medals and 1 silver - we are proud to say that each member of the 2025 IMO team has participated in an AoPS WOOT (Worldwide Online Olympiad Training) class!

"As a parent, I'm deeply grateful to AoPS. Tiger has taken very few math courses outside of AoPS, except for a local Math Circle that doesn't focus on Olympiad math. AoPS has been one of the most important resources in his journey. Without AoPS, Tiger wouldn't be where he is today — especially considering he's grown up in a family with no STEM background at all."
— Doreen Dai, parent of IMO US Team Member Tiger Zhang

Interested to learn more about our WOOT programs? Check out the course page here or join a Free Scheduled Info Session. Early bird pricing ends August 19th!:
CodeWOOT Code Jam - Monday, August 11th
ChemWOOT Chemistry Jam - Wednesday, August 13th
PhysicsWOOT Physics Jam - Thursday, August 14th
MathWOOT Math Jam - Friday, August 15th

There is still time to enroll in our last wave of summer camps that start in August at the Virtual Campus, our video-based platform, for math and language arts! From Math Beasts Camp 6 (Prealgebra Prep) to AMC 10/12 Prep, you can find an informative 2-week camp before school starts. Plus, our math camps don’t have homework and cover cool enrichment topics like graph theory. Our language arts courses will build the foundation for next year’s challenges, such as Language Arts Triathlon for levels 5-6 and Academic Essay Writing for high school students.

Lastly, Fall is right around the corner! You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US. We’ve opened new Academy locations in San Mateo, CA, Pasadena, CA, Saratoga, CA, Johns Creek, GA, Northbrook, IL, and Upper West Side (NYC), New York.

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
jwelsh
Aug 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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9 Most recommended resource
HiCalculus   34
N 32 minutes ago by OWOW
For this poll, I'm going to let everyone choose 1 option to vote for so I can see which resource is the absolute best. Later, I'll make another poll with 2 options per user to find the best way to incorporate 2 resources to study for the test in around 3 months from now.
34 replies
HiCalculus
Jul 27, 2025
OWOW
32 minutes ago
J
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9 NSF results and general feedback (orz admit)
vmene   9
N 42 minutes ago by vmene
Source: Own
NSF is a Indian-based foundation designed to raise money for kids and commence competitions to let students learn in a creative way. This is just my opinion. source And please post which event you got the place in. I got $3^{\text{rd}}$ place in MB2 and $10^{\text{th}}$ place in ISC. :) :coolspeak: :ddr:
9 replies
vmene
Yesterday at 12:41 PM
vmene
42 minutes ago
J
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The MEOW (formerly called AoPSMO)
JerryZYang   5
N an hour ago by HiCalculus
Source: MEOW
[center]Important Updates regarding the MEOW[/center]

Dear all,

We’re excited to share a few important updates regarding our upcoming mock contest.

Name and Logo Change:

Due to moderation concerns, we have officially changed the contest name from AoPSMO to
Mathematical Experience of Olympiad Whiz Kids (MEOW).

Along with this, we’ve adopted a new logo to represent the contest:
IMAGE
Mathematical Experience of Olympiad Whiz Kids

Thank you to everyone who supported us — we’re making this transition to ensure everything stays in line with AoPS guidelines and remains community-friendly.

Contest Delayed by one Week:

To accommodate these changes and finalize logistics, the contest is being delayed by one week.

- New problem release date: 8/9 ~ 8/11 (I'm not exactly sure yet but I believe this is it)
- Submission deadlines and leaderboard updates will be adjusted accordingly
- The format remains the same: 6 proof-style problems over 2 days

What You Need To Do:

- If you’ve already signed up, you’re still in! No need to sign up again.
- If you haven’t yet, post "/signup <your name>" below to participate.

Thank you for your patience and enthusiasm. We look forward to seeing you all at MEOW!
– Mathematical Experience of Olympiad Whiz-kids (MEOW)
5 replies
1 viewing
JerryZYang
Today at 2:27 AM
HiCalculus
an hour ago
J
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AMC 10 a vs AMC10 b
mymelody1234   44
N an hour ago by UniqueScorpion89
Does anyone know the difference between AMC10 a and b? Is there a specific difference as to why they created 2 tests?
44 replies
mymelody1234
Jul 24, 2025
UniqueScorpion89
an hour ago
J
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Numbers on blackboard replaced by difference
ACGNmath   22
N an hour ago by Learning11
Source: Tuymaada 2018 Junior League/Problem 6
The numbers $1, 2, 3, \dots, 1024$ are written on a blackboard. They are divided into pairs. Then each pair is wiped off the board and non-negative difference of its numbers is written on the board instead. $512$ numbers obtained in this way are divided into pairs and so on. One number remains on the blackboard after ten such operations. Determine all its possible values.

Proposed by A. Golovanov
22 replies
ACGNmath
Jul 20, 2018
Learning11
an hour ago
J
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Οn f(f(f(x)))=-x
GreekIdiot   4
N 2 hours ago by Kempu33334
I was playing around for a bit and found some nontrivial functions such that $f(f(f(x)))=-x \: \forall \: x \in \Delta$, where $f:\Delta \to \mathbb R$. This made me wonder, does there exist a nice family of solutions describing all of them?
4 replies
GreekIdiot
2 hours ago
Kempu33334
2 hours ago
J
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Playin Geogebruh give some collinear and coaxial
ItzsleepyXD   3
N 2 hours ago by Funcshun840
Source: Playing Geogebruh
Let $ABC$ be triangle with an arbitrary point $P$ . Point $D,E,F$ are on $BC,CA,AB$ respectively such that $DA=DP,EB=EP,FC=FP$ . Prove that $D,E,F$ collinear if and only if $(APD),(BPE),(CPF)$ are coaxial
3 replies
ItzsleepyXD
Jul 25, 2025
Funcshun840
2 hours ago
J
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Conics? In the 1970s? Never.
djmathman   1
N 2 hours ago by aqwxderf
Source: Sydney University Mathematical Society Competition 1973
The hexagon $P_1P_2P_3P_4P_5P_6$ has the property that it is both inscribed in some conic and circumscribed to some conic. Let $\ell$ be its Pascal line, $X$ its Brianchon point. [By Pascal's theorem, the points $P_1P_2\cap P_4P_5$, $P_2P_3\cap P_5P_6$, $P_3P_4\cap P_6P_1$ lie on a line $\ell$, the Pascal line; by Brianchon's theorem, the lines $P_1P_4$, $P_2P_5$, $P_3P_6$ concur at a point $X$, the Brianchon point.]

[list=1]
[*]Consider the hexagon $Q_1\cdots Q_6$ where $Q_i$ is the intersection of the lines $P_iP_{i+2}$ and $P_{i+1}P_{i+3}\pmod 6$. Prove that $Q_1\cdots Q_6$ also has the property that it is both inscribed in some conic and circumscribed to some conic, and has the same Pascal line $\ell$ and Brianchon point $X$.
[*] Prove the same for the hexagon $R_1\cdots R_6$ where $R_i$ is the intersection of the lines $P_iP_{i+1}$ and $P_{i+2}P_{i+3}\pmod 6$.
[*]Prove that $\ell$ is the polar of $X$ with respect to all six conics which appear in the question.
[/list]
1 reply
djmathman
4 hours ago
aqwxderf
2 hours ago
J
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Hard geometry problem
Fatmancsp28   2
N 2 hours ago by Fatmancsp28
Given acute triangle $ABC$ inscribed in circle $(O)$ with three altitudes $AD, BE, CF$ intersecting at $H$. Let $A', H'$ be the points symmetric to $A, H$ through $BC$ respectively. Circle $(AEA')$ intersects $(O)$ at $P$ $(\ne A)$, circle $(AFA')$ intersects $(O)$ at $Q$ $(\ne A)$. $R$ is the intersection of $PQ$ and $AB$. Prove that $RH$ is tangent to circle $(O)$.
2 replies
Fatmancsp28
3 hours ago
Fatmancsp28
2 hours ago
J
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Circle Pascal
aqwxderf   3
N 2 hours ago by djmathman
Source: Own
Let $\Omega, \Gamma $ be two circles such that $\Gamma $ is inside $\Omega $. Suppose $\omega_1, \omega_2, \omega_3, \omega_4, \omega_5, \omega_6$ are six circles tangent internally to $\Omega $ and externally to $\Gamma $ such that $\omega_i $ and $\omega_{i+1} $ intersect at $A_i, B_i $ (taken modulo six). Suppose further that the quadrilaterals $A_1B_1B_4A_4, A_2B_2B_5A_5 $ and $A_3B_3B_6A_6 $ are all cyclic, then prove that their circumcircles meet at two points.
3 replies
aqwxderf
3 hours ago
djmathman
2 hours ago
J
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IMO ShortList 1999, algebra problem 1
orl   44
N 3 hours ago by sneh678
Source: IMO ShortList 1999, algebra problem 1
Let $n \geq 2$ be a fixed integer. Find the least constant $C$ such the inequality

\[\sum_{i<j} x_{i}x_{j} \left(x^{2}_{i}+x^{2}_{j} \right) \leq C \left(\sum_{i}x_{i} \right)^4\]

holds for any $x_{1}, \ldots ,x_{n} \geq 0$ (the sum on the left consists of $\binom{n}{2}$ summands). For this constant $C$, characterize the instances of equality.
44 replies
orl
Nov 13, 2004
sneh678
3 hours ago
J
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Shortlist 2017/G4
fastlikearabbit   126
N 3 hours ago by Royal_mhyasd
Source: Shortlist 2017, Romanian TST 2018
In triangle $ABC$, let $\omega$ be the excircle opposite to $A$. Let $D, E$ and $F$ be the points where $\omega$ is tangent to $BC, CA$, and $AB$, respectively. The circle $AEF$ intersects line $BC$ at $P$ and $Q$. Let $M$ be the midpoint of $AD$. Prove that the circle $MPQ$ is tangent to $\omega$.
126 replies
fastlikearabbit
Jul 10, 2018
Royal_mhyasd
3 hours ago
J
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Guessing polynomial by its maximum values on segments
NO_SQUARES   5
N 3 hours ago by navid
Source: Kvant 2025 no. 1 M2828 and The XIX Southern Mathematical Tournament
Maxim has guessed a polynomial $f(x)$ of degree $n$. Sasha wants to guess it (knowing $n$). During a turn, Sasha can name a certain segment $[a;b]$ and Maxim will give in response the maximum value of $f(x)$ on the segment $[a;b]$. Will Sasha be able to guess $f(x)$ in a finite number of steps?
M. Didin
5 replies
NO_SQUARES
Mar 14, 2025
navid
3 hours ago
J
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IMO Shortlist 2009 - Problem A7
April   57
N 3 hours ago by MR.1
Find all functions $f$ from the set of real numbers into the set of real numbers which satisfy for all $x$, $y$ the identity \[ f\left(xf(x+y)\right) = f\left(yf(x)\right) +x^2\]

Proposed by Japan
57 replies
April
Jul 5, 2010
MR.1
3 hours ago
J
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J
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Mathcounts States
RMarri_1018   9
N Mar 21, 2025 by giratina3
As Mathcounts States has not started yet, I would like to ask a quick question. What would be the target goal to get to nationals in the state of Pennslyvania. I mock 34-38, so I want to know would that be enough to get me to CDR?
9 replies
RMarri_1018
Feb 24, 2025
giratina3
Mar 21, 2025
J
Mathcounts States
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Reveal topic tags
MATHCOUNTS
channing yang
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RMarri_1018
3 posts
RMarri_1018
#1 h  Feb 24, 2025, 9:44 PM
Y by
As Mathcounts States has not started yet, I would like to ask a quick question. What would be the target goal to get to nationals in the state of Pennslyvania. I mock 34-38, so I want to know would that be enough to get me to CDR?
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orangebear
754 posts
orangebear
#2 h  Feb 24, 2025, 9:50 PM
Y by
Since this years Pennsylvania team should be weak (As far as I know cuz all the 8th graders are gone and there were many of them) The cutoff for countdown should be 32-36 depending how hard the test is.
This post has been edited 2 times. Last edited by orangebear, Feb 24, 2025, 9:53 PM
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happypi31415
791 posts
happypi31415
#3 h  Feb 24, 2025, 10:38 PM
Y by
As a former MATHCOUNTS participant in PA (made nats once) i believe cutoff was around 30 for cdr both 2023 and 2024. However I don't think the team will be that strong this year b/c there were around 4 7th graders in top 20 (compare to 2023 where there were like 8) so it might be easier tbh
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RMarri_1018
3 posts
RMarri_1018
#4 h  Feb 26, 2025, 8:27 PM
Y by
Ok Thanks
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MichaelLin16
50 posts
MichaelLin16
#5 h  Mar 11, 2025, 9:45 PM
Y by
RMarri_1018 wrote:
As Mathcounts States has not started yet, I would like to ask a quick question. What would be the target goal to get to nationals in the state of Pennslyvania. I mock 34-38, so I want to know would that be enough to get me to CDR?

in florida mathcounts 35-36 or higher is enough to get into nats
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NS0004
191 posts
NS0004
#6 h  Mar 11, 2025, 9:53 PM
Y by
Probably will be less this year tho cuz the top ten didnt have too many 7th graders in florida...
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mathlover3141
6 posts
mathlover3141
#7 h  Mar 17, 2025, 8:19 PM
Y by
if it's an easy year and other people score higher you just need to not silly questions and you will also do well
if it's a normal/hard year then the cdr cutoff is usually 30 and the top 4 cutoff is around 33-35
expect hard questions so that you won't be surprised when you actually sit down and take the test
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Hanruz
54 posts
Hanruz
#18 h  Mar 21, 2025, 1:26 AM
Y by
Is discussion allowed now?
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c_double_sharp
337 posts
c_double_sharp
#19 h  Mar 21, 2025, 1:38 AM
Y by
Hanruz wrote:
Is discussion allowed now?

no.
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giratina3
672 posts
giratina3
#20 h  Mar 21, 2025, 11:36 AM
Y by
Hanruz wrote:
Is discussion allowed now?

Wait until April just to be safe :)
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