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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
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[CASH PRIZES] IndyINTEGIRLS Spring Math Competition
Indy_Integirls   4
N 19 minutes ago by Inaaya
[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: Follow us on Instagram @indy.integirls, join our Discord, follow us on TikTok @indy.integirls, and email us at indy@integirls.org.

---------
[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!
4 replies
Indy_Integirls
May 11, 2025
Inaaya
19 minutes ago
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Find all p(x) such that p(p) is a power of 2
truongphatt2668   4
N 2 hours ago by Laan
Source: ???
Find all polynomial $P(x) \in \mathbb{R}[x]$ such that:
$$P(p_i) = 2^{a_i}$$with $p_i$ is an $i$ th prime and $a_i$ is an arbitrary positive integer.
4 replies
truongphatt2668
Yesterday at 1:05 PM
Laan
2 hours ago
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Easy combinatorics
GreekIdiot   0
2 hours ago
Source: own, inspired by another problem
You are given a $5 \times 5$ grid with each cell colored with an integer from $0$ to $15$. Two players take turns. On a turn, a player may increase any one cell’s value by a power of 2 (i.e., add 1, 2, 4, or 8 mod 16). The first player wins if, after their move, the sum of each row and the sum of each column is congruent to 0 modulo 16. Prove whether or not Player 1 has a forced win strategy from any starting configuration.
0 replies
GreekIdiot
2 hours ago
0 replies
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Concurrency in Parallelogram
amuthup   91
N 2 hours ago by Rayvhs
Source: 2021 ISL G1
Let $ABCD$ be a parallelogram with $AC=BC.$ A point $P$ is chosen on the extension of ray $AB$ past $B.$ The circumcircle of $ACD$ meets the segment $PD$ again at $Q.$ The circumcircle of triangle $APQ$ meets the segment $PC$ at $R.$ Prove that lines $CD,AQ,BR$ are concurrent.
91 replies
amuthup
Jul 12, 2022
Rayvhs
2 hours ago
J
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concyclic wanted, diameter related
parmenides51   3
N 2 hours ago by Giant_PT
Source: China Northern MO 2023 p1 CNMO
As shown in the figure, $AB$ is the diameter of circle $\odot O$, and chords $AC$ and $BD$ intersect at point $E$, $EF\perp AB$ intersects at point $F$, and $FC$ intersects $BD$ at point $G$. Point $M$ lies on $AB$ such that $MD=MG$ . Prove that points $F$, $M$, $D$, $G$ lies on a circle.
IMAGE
3 replies
parmenides51
May 5, 2024
Giant_PT
2 hours ago
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Concurrency
Omid Hatami   14
N 2 hours ago by Ilikeminecraft
Source: Iran TST 2008
Suppose that $ I$ is incenter of triangle $ ABC$ and $ l'$ is a line tangent to the incircle. Let $ l$ be another line such that intersects $ AB,AC,BC$ respectively at $ C',B',A'$. We draw a tangent from $ A'$ to the incircle other than $ BC$, and this line intersects with $ l'$ at $ A_1$. $ B_1,C_1$ are similarly defined. Prove that $ AA_1,BB_1,CC_1$ are concurrent.
14 replies
Omid Hatami
May 20, 2008
Ilikeminecraft
2 hours ago
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<ACB=90^o if AD = BD , <ACD = 3 <BAC, AM=//MD, CM//AB,
parmenides51   2
N 2 hours ago by AylyGayypow009
Source: 2021 JBMO TST Bosnia and Herzegovina P3
In the convex quadrilateral $ABCD$, $AD = BD$ and $\angle ACD = 3 \angle BAC$. Let $M$ be the midpoint of side $AD$. If the lines $CM$ and $AB$ are parallel, prove that the angle $\angle ACB$ is right.
2 replies
parmenides51
Oct 7, 2022
AylyGayypow009
2 hours ago
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2v2 (bob lost the game)
GoodMorning   85
N 2 hours ago by maromex
Source: 2023 USAJMO Problem 5/USAMO Problem 4
A positive integer $a$ is selected, and some positive integers are written on a board. Alice and Bob play the following game. On Alice's turn, she must replace some integer $n$ on the board with $n+a$, and on Bob's turn he must replace some even integer $n$ on the board with $n/2$. Alice goes first and they alternate turns. If on his turn Bob has no valid moves, the game ends.

After analyzing the integers on the board, Bob realizes that, regardless of what moves Alice makes, he will be able to force the game to end eventually. Show that, in fact, for this value of $a$ and these integers on the board, the game is guaranteed to end regardless of Alice's or Bob's moves.
85 replies
GoodMorning
Mar 23, 2023
maromex
2 hours ago
J
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Good Permutations in Modulo n
swynca   9
N 3 hours ago by optimusprime154
Source: BMO 2025 P1
An integer $n > 1$ is called $\emph{good}$ if there exists a permutation $a_1, a_2, a_3, \dots, a_n$ of the numbers $1, 2, 3, \dots, n$, such that:
$(i)$ $a_i$ and $a_{i+1}$ have different parities for every $1 \leq i \leq n-1$;
$(ii)$ the sum $a_1 + a_2 + \cdots + a_k$ is a quadratic residue modulo $n$ for every $1 \leq k \leq n$.
Prove that there exist infinitely many good numbers, as well as infinitely many positive integers which are not good.
9 replies
swynca
Apr 27, 2025
optimusprime154
3 hours ago
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Grid combo with tilings
a_507_bc   7
N 3 hours ago by john0512
Source: All-Russian MO 2023 Final stage 10.6
A square grid $100 \times 100$ is tiled in two ways - only with dominoes and only with squares $2 \times 2$. What is the least number of dominoes that are entirely inside some square $2 \times 2$?
7 replies
a_507_bc
Apr 23, 2023
john0512
3 hours ago
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sqrt(2)<=|1+z|+|1+z^2|<=4
SuiePaprude   3
N 3 hours ago by alpha31415
let z be a complex number with |z|=1 show that sqrt2 <=|1+z|+|1+z^2|<=4
3 replies
SuiePaprude
Jan 23, 2025
alpha31415
3 hours ago
J
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Simple but hard
Lukariman   5
N 3 hours ago by Giant_PT
Given triangle ABC. Outside the triangle, construct rectangles ACDE and BCFG with equal areas. Let M be the midpoint of DF. Prove that CM passes through the center of the circle circumscribing triangle ABC.
5 replies
Lukariman
Today at 2:47 AM
Giant_PT
3 hours ago
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Suggestions for preparing for AMC 12
peppermint_cat   3
N Today at 7:14 AM by Konigsberg
So, I have decided to attempt taking the AMC 12 this fall. I don't have any experience with math competitions, and I thought that here might be a good place to see if anyone who has taken the AMC 12 (or done any other math competitions) has any suggestions on what to expect, how to prepare, etc. Thank you!
3 replies
peppermint_cat
Today at 1:04 AM
Konigsberg
Today at 7:14 AM
J
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Harmonic Mean
Happytycho   4
N Today at 4:42 AM by elizhang101412
Source: Problem #2 2016 AMC 12B
The harmonic mean of two numbers can be calculated as twice their product divided by their sum. The harmonic mean of $1$ and $2016$ is closest to which integer?

$\textbf{(A)}\ 2 \qquad \textbf{(B)}\ 45 \qquad \textbf{(C)}\ 504 \qquad \textbf{(D)}\ 1008 \qquad \textbf{(E)}\ 2015 $
4 replies
Happytycho
Feb 21, 2016
elizhang101412
Today at 4:42 AM
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Math Camps
jack_ma   12
N Apr 20, 2025 by NoSignOfTheta
What are some math camps (residential and online) for high schoolers?
12 replies
jack_ma
Apr 20, 2025
NoSignOfTheta
Apr 20, 2025
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Math Camps
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Reveal topic tags
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jack_ma
8 posts
jack_ma
#1 h  Apr 20, 2025, 2:48 AM
Y by
What are some math camps (residential and online) for high schoolers?
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jack_ma
8 posts
jack_ma
#2 h  Apr 20, 2025, 2:51 AM
Y by
Not limited to summer.
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mdk2013
642 posts
mdk2013
#3 h  Apr 20, 2025, 3:02 AM
Y by
mop feeling rejected rn
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idk12345678
394 posts
idk12345678
#4 h  Apr 20, 2025, 4:38 AM
Y by
AwesomeMath Summer Program is a camp
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jack_ma
8 posts
jack_ma
#5 h  Apr 20, 2025, 4:04 PM
Y by
bump....
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Pengu14
624 posts
Pengu14
#6 h  Apr 20, 2025, 4:06 PM • 1 Y
Y by jack_ma
MathCamp
HCSSIM
ROSS
PROMYS
SUMAC
AMSP
MathILY
MOP
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jack_ma
8 posts
jack_ma
#8 h  Apr 20, 2025, 4:20 PM
Y by
Pengu14 wrote:
MathCamp
HCSSIM
ROSS
PROMYS
SUMAC
AMSP
MathILY
MOP

whats the difference between MathILY and MathILY-Er?
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jack_ma
8 posts
jack_ma
#9 h  Apr 20, 2025, 4:24 PM • 1 Y
Y by yuanyuanC
is MathIGy real?
This post has been edited 1 time. Last edited by jack_ma, Apr 20, 2025, 4:25 PM
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Turtle09
1816 posts
Turtle09
#10 h  Apr 20, 2025, 4:26 PM • 1 Y
Y by jack_ma
jack_ma wrote:
Pengu14 wrote:
MathCamp
HCSSIM
ROSS
PROMYS
SUMAC
AMSP
MathILY
MOP

whats the difference between MathILY and MathILY-Er?

read the website lmao
it states it's for students who are earlier in their math journeys
jack_ma wrote:
is MathIGy real?

no
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palindrome868
1175 posts
palindrome868
#11 h  Apr 20, 2025, 5:03 PM
Y by
Pengu14 wrote:
MathCamp
HCSSIM
ROSS
PROMYS
SUMAC
AMSP
MathILY
MOP

Pls rank in order of motivation (as in how motivated are the people there).
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idk12345678
394 posts
idk12345678
#12 h  Apr 20, 2025, 5:13 PM
Y by
MOP is probably the most motivated lmao
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profhong
8 posts
profhong
#13 h  Apr 20, 2025, 5:22 PM
Y by
IMC Camp at Charlotte
video highlights: https://youtu.be/GXI0sjkZ_XU?si=B_ZWEfYnxOt4saXv
peace09's journal: https://drive.google.com/file/d/1cenocdEY5Nw56zqNIL4TMCnjTC3yfHMC/view?usp=sharing
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NoSignOfTheta
1744 posts
NoSignOfTheta
#14 h  Apr 20, 2025, 5:25 PM
Y by
idk12345678 wrote:
MOP is probably the most motivated lmao

Nah, AwesomeMath'd win
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