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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
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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Geometry
shactal   0
29 minutes ago
Two intersecting circles $C_1$ and $C_2$ have a common tangent that meets $C_1$ in $P$ and $C_2$ in $Q$. The two circles intersect at $M$ and $N$ where $N$ is closer to $PQ$ than $M$ . Line $PN$ meets circle $C_2$ a second time in $R$. Prove that $MQ$ bisects angle $\widehat{PMR}$.
0 replies
shactal
29 minutes ago
0 replies
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Inspired by 2025 KMO
sqing   1
N 40 minutes ago by sqing
Source: Own
Let $ a,b,c,d $ be real numbers satisfying $ a+b+c+d=0 $ and $ a^2+b^2+c^2+d^2= 6 .$ Prove that $$ -\frac{3}{4} \leq abcd\leq\frac{9}{4}$$Let $ a,b,c,d $ be real numbers satisfying $ a+b+c+d=6 $ and $ a^2+b^2+c^2+d^2= 18 .$ Prove that $$ -\frac{9(2\sqrt{3}+3)}{4} \leq abcd\leq\frac{9(2\sqrt{3}-3)}{4}$$
1 reply
sqing
an hour ago
sqing
40 minutes ago
J
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Proof Writing Help
gulab_jamun   0
an hour ago
Ok so like, i'm working on proofs, and im prolly gonna use this page for any questions. My question as of now is what can I cite? Like for example, if for a question I use Evan Chen's fact 5, in my proof do I have to prove fact 5 all over again or can i say "this result follows from Evan Chen's fact 5"?
0 replies
gulab_jamun
an hour ago
0 replies
J
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RMO 2024 Q1
SomeonecoolLovesMaths   25
N an hour ago by Adywastaken
Source: RMO 2024 Q1
Let $n>1$ be a positive integer. Call a rearrangement $a_1,a_2, \cdots , a_n$ of $1,2, \cdots , n$ nice if for every $k = 2,3, \cdots , n$, we have that $a_1 + a_2 + \cdots + a_k$ is not divisible by $k$.
(a) If $n>1$ is odd, prove that there is no nice arrangement of $1,2, \cdots , n$.
(b) If $n$ is even, find a nice arrangement of $1,2, \cdots , n$.
25 replies
SomeonecoolLovesMaths
Nov 3, 2024
Adywastaken
an hour ago
J
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4 variables
Nguyenhuyen_AG   10
N an hour ago by Butterfly
Let $a,\,b,\,c,\,d$ are non-negative real numbers and $0 \leqslant k \leqslant \frac{2}{\sqrt{3}}.$ Prove that
$$a^2+b^2+c^2+d^2+kabcd \geqslant k+4+(k+2)(a+b+c+d-4).$$hide
10 replies
Nguyenhuyen_AG
Dec 21, 2020
Butterfly
an hour ago
J
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2025 KMO Inequality
Jackson0423   3
N an hour ago by sqing
Source: 2025 KMO Round 1 Problem 20

Let \(x_1, x_2, \ldots, x_6\) be real numbers satisfying
\[ x_1 + x_2 + \cdots + x_6 = 6, \]\[ x_1^2 + x_2^2 + \cdots + x_6^2 = 18. \]Find the maximum possible value of the product
\[ x_1 x_2 x_3 x_4 x_5 x_6. \]
3 replies
Jackson0423
Yesterday at 4:32 PM
sqing
an hour ago
J
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All divisors are one more than a perfect power
Tintarn   5
N an hour ago by Nuran2010
Source: Baltic Way 2024, Problem 16
Determine all composite positive integers $n$ such that, for each positive divisor $d$ of $n$, there are integers $k\geq 0$ and $m\geq 2$ such that $d=k^m+1$.
5 replies
Tintarn
Nov 16, 2024
Nuran2010
an hour ago
J
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KJMO 2001 P1
RL_parkgong_0106   1
N an hour ago by JH_K2IMO
Source: KJMO 2001
A right triangle of the following condition is given: the three side lengths are all positive integers and the length of the shortest segment is $141$. For the triangle that has the minimum area while satisfying the condition, find the lengths of the other two sides.
1 reply
RL_parkgong_0106
Jun 29, 2024
JH_K2IMO
an hour ago
J
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Cotangential circels
CountingSimplex   5
N 2 hours ago by rong2020
Let $ABC$ be a triangle with circumcenter $O$ and let the angle bisector of $\angle{BAC}$ intersect $BC$
at $D$. The point $M$ is such that $\angle{MCB}=90^o$ and $\angle{MAD}=90^o$. Lines $BM$ and $OA$ intersect at
the point $P$. Show that the circle centered at $P$ and passing through $A$ is tangent to segment
$BC$.
5 replies
CountingSimplex
Jun 23, 2020
rong2020
2 hours ago
J
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Inspired by old results
sqing   3
N 2 hours ago by sqing
Source: Own
Let $a,b,c $ be reals such that $a^2+b^2+c^2=3$ .Prove that
$$(1-a)(k-b)(1-c)+abc\ge -k$$Where $ k\geq 1.$
$$(1-a)(1-b)(1-c)+abc\ge -1$$$$(1-a)(1-b)(1-c)-abc\ge -\frac{1}{2}-\sqrt 2$$
3 replies
sqing
Today at 7:36 AM
sqing
2 hours ago
J
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Inspired by Philippine 2025
sqing   1
N 2 hours ago by sqing
Source: Own
Let $ a,b,c,d $ be real numbers . Prove that
$$\frac{(a-1)(b-3)(c-3)(d-1)}{ (a^2+3)(b^2+3)(c^2+3)(d^2+3)} \ge -\frac{7+4\sqrt 3}{144}$$$$\frac{(a-1)(b-2)(c-2)(d-1)}{ (a^2+3)(b^2+3)(c^2+3)(d^2+3)} \ge -\frac{11+4\sqrt 7}{432}$$


1 reply
sqing
2 hours ago
sqing
2 hours ago
J
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9 USAMO/JMO
BAM10   26
N 2 hours ago by neeyakkid23
I mock ~90-100 on very recent AMC 10 mock right now. I plan to take AMC 10 final fives(9th), intermediate NT(9th), aime A+B courses in 10th and 11th and maybe mathWOOT 1 (12th). For more info I got 20 on this years AMC 8 with 3 sillies and 32 on MATHCOUNTS chapter. Also what is a realistic timeline to do this
26 replies
BAM10
May 19, 2025
neeyakkid23
2 hours ago
J
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[TEST RELEASED] OMMC Year 5
DottedCaculator   110
N 3 hours ago by PikaPika999
Test portal: https://ommc-test-portal-2025.vercel.app/

Hello to all creative problem solvers,

Do you want to work on a fun, untimed team math competition with amazing questions by MOPpers and IMO & EGMO medalists? $\phantom{You lost the game.}$
Do you want to have a chance to win thousands in cash and raffle prizes (no matter your skill level)?

Check out the fifth annual iteration of the

Online Monmouth Math Competition!

Online Monmouth Math Competition, or OMMC, is a 501c3 accredited nonprofit organization managed by adults, college students, and high schoolers which aims to give talented high school and middle school students an exciting way to develop their skills in mathematics.

Our website: https://www.ommcofficial.org/

This is not a local competition; any student 18 or younger anywhere in the world can attend. We have changed some elements of our contest format, so read carefully and thoroughly. Join our Discord or monitor this thread for updates and test releases.

How hard is it?

We plan to raffle out a TON of prizes over all competitors regardless of performance. So just submit: a few minutes of your time will give you a great chance to win amazing prizes!

How are the problems?

You can check out our past problems and sample problems here:
https://www.ommcofficial.org/sample
https://www.ommcofficial.org/2022-documents
https://www.ommcofficial.org/2023-documents
https://www.ommcofficial.org/ommc-amc

How will the test be held?/How do I sign up?

Solo teams?

Test Policy

Timeline:
Main Round: May 17th - May 24th
Test Portal Released. The Main Round of the contest is held. The Main Round consists of 25 questions that each have a numerical answer. Teams will have the entire time interval to work on the questions. They can submit any time during the interval. Teams are free to edit their submissions before the period ends, even after they submit.

Final Round: May 26th - May 28th
The top placing teams will qualify for this invitational round (5-10 questions). The final round consists of 5-10 proof questions. Teams again will have the entire time interval to work on these questions and can submit their proofs any time during this interval. Teams are free to edit their submissions before the period ends, even after they submit.

Conclusion of Competition: Early June
Solutions will be released, winners announced, and prizes sent out to winners.

Scoring:

Prizes:

I have more questions. Whom do I ask?

We hope for your participation, and good luck!

OMMC staff

OMMC’S 2025 EVENTS ARE SPONSORED BY:

[list]
[*]Nontrivial Fellowship
[*]Citadel
[*]SPARC
[*]Jane Street
[*]And counting!
[/list]
110 replies
DottedCaculator
Apr 26, 2025
PikaPika999
3 hours ago
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for the contest high achievers, can you share your math path?
HCM2001   28
N Today at 8:28 AM by N3bula
Hi all
Just wondering if any orz or high scorers on contests at young age (which are a lot of u guys lol) can share what your math path has been like?
- school math: you probably finish calculus in 5th grade or something lol then what do you do for the rest of the school? concurrent enrollment? college class? none (focus on math competitions)?
- what grade did you get honor roll or higher on AMC 8, AMC 10, AIME qual, USAJMO qual, etc?
- besides aops do you use another program to study? (like Mr Math, Alphastar, etc)?

You're all great inspirations and i appreciate the answers.. you all give me a lot of motivation for this math journey. Thanks
28 replies
HCM2001
Wednesday at 7:50 PM
N3bula
Today at 8:28 AM
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J
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Coordbashing = 0?
UberPiggy   16
N Wednesday at 11:31 PM by UberPiggy
Hi,

I just received my USAJMO score distribution: 000 701 (very cursed I know)

The thing is, I solved #5 (Geometry) by using Cartesian coordinates and tried to show a lot of detail in my calculations. I don't think I mislabeled the pages or anything either. I don't have the scans, but does anyone know why this might be the case? Thank you!
16 replies
UberPiggy
Apr 23, 2025
UberPiggy
Wednesday at 11:31 PM
J
Coordbashing = 0?
G H J
Reveal topic tags
AMC
USA(J)MO
USAJMO
analytic geometry
L
G H BBookmark kLocked kLocked NReply
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UberPiggy
49 posts
UberPiggy
#1 h  Apr 23, 2025, 10:45 PM
Y by
Hi,

I just received my USAJMO score distribution: 000 701 (very cursed I know)

The thing is, I solved #5 (Geometry) by using Cartesian coordinates and tried to show a lot of detail in my calculations. I don't think I mislabeled the pages or anything either. I don't have the scans, but does anyone know why this might be the case? Thank you!
Z K Y
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elasticwealth
342 posts
elasticwealth
#2 h  Apr 23, 2025, 10:46 PM • 3 Y
Y by Exponent11, aidan0626, OronSH
a 99% complete bash typically earns a zero
This post has been edited 1 time. Last edited by elasticwealth, Apr 23, 2025, 10:46 PM
Z K Y
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UberPiggy
49 posts
UberPiggy
#3 h  Apr 23, 2025, 10:49 PM • 1 Y
Y by Exponent11
Oh, that's unfortunate. I'll keep that in mind for next time, thank you!
Z K Y
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averageguy
42 posts
averageguy
#4 h  Apr 23, 2025, 10:49 PM • 1 Y
Y by Exponent11
I did the same thing and got a 0 for that as well. Maybe doing a cordbash just gets you a 0?
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MajesticCheese
26 posts
MajesticCheese
#5 h  Apr 23, 2025, 10:53 PM • 3 Y
Y by Exponent11, jcoons91, Pengu14
I coordbashed and got a 7 uhhh

maybe something went wrong?
This post has been edited 1 time. Last edited by MajesticCheese, Apr 23, 2025, 10:53 PM
Z K Y
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elasticwealth
342 posts
elasticwealth
#6 h  Apr 23, 2025, 11:01 PM • 3 Y
Y by Exponent11, jcoons91, aidan0626
a coordbash that 100% works gets a 7
any small issues = zero (I've heard)
This post has been edited 1 time. Last edited by elasticwealth, Apr 23, 2025, 11:01 PM
Reason: typo
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llddmmtt1
426 posts
llddmmtt1
#7 h  Apr 23, 2025, 11:44 PM • 3 Y
Y by jcoons91, aidan0626, KevinChen_Yay
bash is either 0 or 7, no in between unless you make a nontrivial synthetic observation
Z K Y
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EZ588
41 posts
EZ588
#8 h  Apr 24, 2025, 12:19 AM
Y by
my incomplete barybash got a 1
Z K Y
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KevinChen_Yay
242 posts
KevinChen_Yay
#9 h  Apr 24, 2025, 1:00 AM
Y by
@above
llddmmtt1 wrote:
nontrivial synthetic observation

probably right?
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DottedCaculator
7357 posts
DottedCaculator
#10 h  Apr 24, 2025, 1:19 AM
Y by
llddmmtt1 wrote:
bash is either 0 or 7, no in between unless you make a nontrivial synthetic observation

I heard someone got a 3 on a problem once.
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EZ588
41 posts
EZ588
#11 h  Apr 24, 2025, 3:46 AM
Y by
KevinChen_Yay wrote:
@above
llddmmtt1 wrote:
nontrivial synthetic observation

probably right?

maybe identifying the cyclic quadrilateral gives one point?
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UberPiggy
49 posts
UberPiggy
#12 h  May 20, 2025, 5:13 AM
Y by
Sorry for the bump. I know this is a relatively old thread but could anyone tell me what errors I made in my solution (attached)?
Maybe I should have used darker ink for the diagram
Attachments:
JMO_P5.pdf (395kb)
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LearnMath_105
154 posts
LearnMath_105
#13 h  May 20, 2025, 5:39 PM
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I've heard multiple people (including me) got a 6 from coord bash on this
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freefall222
5 posts
freefall222
#14 h  May 20, 2025, 6:06 PM
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UberPiggy wrote:
Hi,

I just received my USAJMO score distribution: 000 701 (very cursed I know)

The thing is, I solved #5 (Geometry) by using Cartesian coordinates and tried to show a lot of detail in my calculations. I don't think I mislabeled the pages or anything either. I don't have the scans, but does anyone know why this might be the case? Thank you!

The distrib is hurting my eyes
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Math4Life2020
2966 posts
Math4Life2020
#15 h  May 20, 2025, 6:38 PM
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elasticwealth wrote:
a 99% complete bash typically earns a zero

i've gotten a 6 on TSTST and a 6 on RMM with slighly incorrect bashes
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aidensharp
363 posts
aidensharp
#16 h  Wednesday at 8:33 PM • 1 Y
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UberPiggy wrote:
Sorry for the bump. I know this is a relatively old thread but could anyone tell me what errors I made in my solution (attached)?
Maybe I should have used darker ink for the diagram

I kinda suck at math but on page 4, if OC has slope $\frac{a-1}{b}$ and BC has slope $\frac{b}{a-1}$, that doesn't imply they are perpendicular. It would have to be BC has slope $\frac{b}{1-a}$?
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UberPiggy
49 posts
UberPiggy
#17 h  Wednesday at 11:31 PM
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I just saw that, thanks for the catch. I don't think I made this error anywhere else though, is this a big enough mistake to justify a 0?
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