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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

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April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 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
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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Colors over colors in a grid
FAA2533   1
N 37 minutes ago by Rohit-2006
Source: BdMO 2025 Higher Secondary P3
Two player are playing in an $100 \times 100$ grid. Initially the whole board is black. On $A$'s move, he selects $4 \times 4$ subgrid and color it white. On $B$'s move, he selects a $3 \times 3$ subgrid and colors it black. $A$ wants to make the whole board white. Can he do it?

Proposed by S M A Nahian
1 reply
FAA2533
Feb 8, 2025
Rohit-2006
37 minutes ago
J
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AD and BC meet MN at P and Q
WakeUp   6
N 37 minutes ago by Nari_Tom
Source: Baltic Way 2005
Let $ABCD$ be a convex quadrilateral such that $BC=AD$. Let $M$ and $N$ be the midpoints of $AB$ and $CD$, respectively. The lines $AD$ and $BC$ meet the line $MN$ at $P$ and $Q$, respectively. Prove that $CQ=DP$.
6 replies
WakeUp
Dec 28, 2010
Nari_Tom
37 minutes ago
J
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thank you
Piwbo   0
42 minutes ago
Let $p_n$ be the n-th prime number in increasing order for $n\geq 1$. Prove that there exists a sequence of distinct prime numbers $q_n$ satisfying $q_1+q_2+...+q_n=p_n$ for all $n\geq 1 $
0 replies
Piwbo
42 minutes ago
0 replies
J
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IMO ShortList 2002, geometry problem 4
orl   24
N an hour ago by Avron
Source: IMO ShortList 2002, geometry problem 4
Circles $S_1$ and $S_2$ intersect at points $P$ and $Q$. Distinct points $A_1$ and $B_1$ (not at $P$ or $Q$) are selected on $S_1$. The lines $A_1P$ and $B_1P$ meet $S_2$ again at $A_2$ and $B_2$ respectively, and the lines $A_1B_1$ and $A_2B_2$ meet at $C$. Prove that, as $A_1$ and $B_1$ vary, the circumcentres of triangles $A_1A_2C$ all lie on one fixed circle.
24 replies
orl
Sep 28, 2004
Avron
an hour ago
J
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comb and nt mixed
MR.1   1
N an hour ago by MR.1
Source: own
in antarctica there is $n\geq3$ penguin and each one is numbered using numbers $1,2,\dots n$. penguin $i$ is called $mirza$ if $\binom{\underline i}{p_i}=1$ where $p_i$ is $i_{th}$ prime divisor of $n$ ($p_{kt+i}=p_{i}$(where k is number of $n$'s prime divisors). what is maximum ratio of $\frac{M}{n}$ where $M$ is number of $mirza$ in antarctica?($p_1\neq 1$)
1 reply
MR.1
Yesterday at 2:34 PM
MR.1
an hour ago
J
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The best computer problems of the year
NT_G   9
N an hour ago by bin_sherlo
Source: https://t.me/NeuroGeometry
1. I is incenter of triangle $ABC$. $K$ is the midpoint of arc $BC$ not containing $A$. $L$ is the midpoint of arc $(BAC)$ $M$ is the midpoint of $IK$ and $N$ is the midpoint of $LM$.  $D$ is projection of $I$ onto $BC$. $S$ is the second intersection of $KD$ and $(ABC)$
Prove that $(ISD)$ is tangent to $(AMN)$.

2. Circle $w$ with center $I$ is incircle of triangle $ABC$. $D$ is projection of $I$ onto $BC$ Points $E, F$ on segments $BI$, $CI$ are following condition: $IE = IF$. $M$ is the midpoint of $EF$. $P$ is the second intersection of $(IMD)$ and $w$. $Q$ is the second intersection of $AP$ and $(IMD)$.
Prove, that $I,E,F,Q$ are concyclic.

I am grateful to Savva Chuev for making the diagrams.
9 replies
NT_G
Dec 31, 2023
bin_sherlo
an hour ago
J
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geometry problem
Medjl   4
N an hour ago by tigerBoss101
Source: Netherlands TST for IMO 2017 day 3 problem 1
A circle $\omega$ with diameter $AK$ is given. The point $M$ lies in the interior of the circle, but not on $AK$. The line $AM$ intersects $\omega$ in $A$ and $Q$. The tangent to $\omega$ at $Q$ intersects the line through $M$ perpendicular to $AK$, at $P$. The point $L$ lies on $\omega$, and is such that $PL$ is tangent to $\omega$ and $L\neq Q$.
Show that $K, L$, and $M$ are collinear.
4 replies
Medjl
Feb 1, 2018
tigerBoss101
an hour ago
J
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IMO ShortList 2002, geometry problem 3
orl   71
N an hour ago by Avron
Source: IMO ShortList 2002, geometry problem 3
The circle $S$ has centre $O$, and $BC$ is a diameter of $S$. Let $A$ be a point of $S$ such that $\angle AOB<120{{}^\circ}$. Let $D$ be the midpoint of the arc $AB$ which does not contain $C$. The line through $O$ parallel to $DA$ meets the line $AC$ at $I$. The perpendicular bisector of $OA$ meets $S$ at $E$ and at $F$. Prove that $I$ is the incentre of the triangle $CEF.$
71 replies
orl
Sep 28, 2004
Avron
an hour ago
J
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Perpendicularity
April   31
N an hour ago by Tsikaloudakis
Source: CGMO 2007 P5
Point $D$ lies inside triangle $ABC$ such that $\angle DAC = \angle DCA = 30^{\circ}$ and $\angle DBA = 60^{\circ}$. Point $E$ is the midpoint of segment $BC$. Point $F$ lies on segment $AC$ with $AF = 2FC$. Prove that $DE \perp EF$.
31 replies
April
Dec 28, 2008
Tsikaloudakis
an hour ago
J
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China Mathematical Olympiad 1986 problem3
jred   4
N an hour ago by alexanderhamilton124
Source: China Mathematical Olympiad 1986 problem3
Let $Z_1,Z_2,\cdots ,Z_n$ be complex numbers satisfying $|Z_1|+|Z_2|+\cdots +|Z_n|=1$. Show that there exist some among the $n$ complex numbers such that the modulus of the sum of these complex numbers is not less than $1/6$.
4 replies
jred
Jan 17, 2014
alexanderhamilton124
an hour ago
J
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Richard Rusczyk Marathon
anticodon   4
N Today at 5:16 AM by RainbowSquirrel53B
Hello AoPS!

In honor of rrusczyk (and my 50th kudo lol), I'd like to start a Richard Rusczyk Marathon, in which users post:
- a favorite memory of AoPS / what AoPS has helped you achieve
- a problem that AoPS materials has helped you solve. Don't make it TOO hard or the younger users won't be able to get a chance to solve problems
- (if you can solve it), the solution to the problem that the previous user posted.

I'll start:
memory

problem, source AMC12

Although Richard leaving is a sad event, we should still warmly welcome asuth_asuth to AoPS and look forward to working with him in the future to bring AoPS to new frontiers :D
4 replies
anticodon
Yesterday at 9:06 PM
RainbowSquirrel53B
Today at 5:16 AM
J
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When MOP Letters Come Out
imagien_bad   11
N Today at 4:22 AM by eevee9406
Hello everyone, I would like to ask about the validity of MAA's claim that they would release USA(J)MO results in 2-3 weeks. Is this true or is MAA just yapping.
11 replies
imagien_bad
Apr 7, 2025
eevee9406
Today at 4:22 AM
J
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[$100 IN PRIZES] WAMO 3 (Washington Math Olympiad)
Alex_Yang   12
N Today at 3:47 AM by Alex_Yang
We, Alex Yang, James Yang, Kaiyuan Mao, Laura Wang, Patrick Sun, Ryan Chen, Ryan Tang, and Wesley Wu, as well as Texan impostor Bruce Shu, present to you the third edition of the Washington Math Olympiad (WAMO)!


[center]IMAGE[/center]

We present WAMO 3, the third installment of the Washington Math Olympiad. We strive to represent and strengthen the Washington State math community by providing yet another high-quality contest. Our team has gained plenty of experience and expertise, and our team has guaranteed that this contest will be as high-quality as possible.

Quick Facts:
[list=disc]
[*] MathDash has generously offered us the opportunity to host WAMO 3. The competition link is at https://mathdash.com/contest/wamo-3/ and will be published before the competition start date.
[*] The competition will be held between Saturday, April 12th to Saturday, April 26th with 15 Short-Answer Problems in 75 Minutes. MathDash will autotime your test.
[*] There are 100 dollars worth of prize money!
[*] Make sure you have enough time to complete the test in one sitting, as there is no way to pause the test!
[*] Please join the WAMO Discord before the test. The Discord link is on the MathDash page.
[*] Check out our website (courtesy of Andrew Chen) at https://wamomath.org!
[/list]
Potential FAQs:
[list=disc]
[*] Who is the intended audience?
[*] Do I have to do anything before the test?
[*] What are the qualifications of WAMO staff?
[/list]
So what are you waiting for? Good luck and have fun! :D
12 replies
Alex_Yang
Yesterday at 4:31 PM
Alex_Yang
Today at 3:47 AM
J
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Predicted AMC 8 Scores
megahertz13   149
N Today at 3:43 AM by Yrock
$\begin{tabular}{c|c|c|c}Username & Grade & AMC8 Score \\ \hline megahertz13 & 5 & 23 \\ \end{tabular}$
149 replies
megahertz13
Jan 25, 2024
Yrock
Today at 3:43 AM
J
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J
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Question
HopefullyMcNats2025   15
N Yesterday at 2:42 AM by nsking_1209
Is it more difficult to make MOP or make usajmo, usapho, and usabo
15 replies
HopefullyMcNats2025
Apr 7, 2025
nsking_1209
Yesterday at 2:42 AM
J
Question
G H J
Reveal topic tags
USA(J)MO
USAPhO
usabo
AMC
USAJMO
MOP
L
G H BBookmark kLocked kLocked NReply
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HopefullyMcNats2025
45 posts
HopefullyMcNats2025
#1 h  Apr 7, 2025, 2:00 AM
Y by
Is it more difficult to make MOP or make usajmo, usapho, and usabo
Z K Y
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HopefullyMcNats2025
45 posts
HopefullyMcNats2025
#2 h  Apr 7, 2025, 2:02 AM
Y by
Btw Usabo and usapho no one cares, I mean usapho and usabo camps
Z K Y
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ConfidentKoala4
597 posts
ConfidentKoala4
#3 h  Apr 7, 2025, 2:07 AM
Y by
all hard, usabo prolly easiest
mop prolly hardest
Z K Y
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HopefullyMcNats2025
45 posts
HopefullyMcNats2025
#4 h  Apr 7, 2025, 2:12 AM
Y by
Thanks man
Z K Y
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xHypotenuse
765 posts
xHypotenuse
#5 h  Apr 7, 2025, 4:44 PM • 3 Y
Y by happyhippos, aidan0626, Elephant200
No one cares about USABO/USAPhO is wild
This post has been edited 1 time. Last edited by xHypotenuse, Apr 7, 2025, 7:41 PM
Z K Y
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Ruegerbyrd
1043 posts
Ruegerbyrd
#6 h  Apr 7, 2025, 9:09 PM
Y by
MOP, USA(J)MO, usapho, usabo
Z K Y
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MC_ADe
175 posts
MC_ADe
#7 h  Apr 7, 2025, 9:16 PM
Y by
u should talk about camping in these respective things instead cuz MOP is literally camping so u need to like say phys camp or bio camp not jst usapho or usabo
Z K Y
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TetraFish
1088 posts
TetraFish
#8 h  Apr 8, 2025, 12:47 AM
Y by
I think he means MOP vs making that stage in all 3 of them combined.
Z K Y
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LockingIN2026
6 posts
LockingIN2026
#9 h  Apr 8, 2025, 1:13 AM
Y by
TetraFish wrote:
I think he means MOP vs making that stage in all 3 of them combined.

prob the latter
Z K Y
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elasticwealth
316 posts
elasticwealth
#10 h  Tuesday at 1:17 PM
Y by
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME
Z K Y
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NoSignOfTheta
1700 posts
NoSignOfTheta
#11 h  Tuesday at 1:25 PM
Y by
MC_ADe wrote:
u should talk about camping in these respective things instead cuz MOP is literally camping so u need to like say phys camp or bio camp not jst usapho or usabo
HopefullyMcNats2025 wrote:
Btw Usabo and usapho no one cares, I mean usapho and usabo camps
Z K Y
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sadas123
1169 posts
sadas123
#13 h  Tuesday at 8:37 PM
Y by
elasticwealth wrote:
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME

That is somewhat of the list.
Z K Y
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happyhippos
2196 posts
happyhippos
#14 h  Tuesday at 8:59 PM
Y by
HopefullyMcNats2025 wrote:
Btw Usabo and usapho no one cares, I mean usapho and usabo camps

That's an interesting thing to say, considering USAPhO-style physics is much more relevant to actually useful real-life things than USAMO-style math.
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mdk2013
590 posts
mdk2013
#15 h  Tuesday at 9:08 PM
Y by
fake123 wrote:
elasticwealth wrote:
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME

wdym qualifying for AMC 8 is harder

:ewpu: wut
Z K Y
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Jack_w
109 posts
Jack_w
#16 h  Tuesday at 9:55 PM
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TetraFish wrote:
I think he means MOP vs making that stage in all 3 of them combined.

MOP harder
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nsking_1209
165 posts
nsking_1209
#17 h  Yesterday at 2:42 AM
Y by
MOP > usabo camp > usapho camp > usaco camp > usajmo
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