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Contests & Programs AMC and other contests, summer programs, etc.
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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]
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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Prealgebra 1 Self-Paced

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0 replies
jlacosta
May 1, 2025
0 replies
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
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
HCSSiM vs other programs
MathWizardThatCanBeatYou   0
16 minutes ago
For anyone that has been to HCSSiM and other summer math programs like Canada/USA Mathcamp, Ross, PROMYS, etc. What's the difference and which would you consider more worth it?
0 replies
MathWizardThatCanBeatYou
16 minutes ago
0 replies
9 ARML Location
deduck   22
N 37 minutes ago by EaZ_Shadow
UNR -> Nevada
St Anselm -> New Hampshire
WCU -> North Carolina


Put your USERNAME in the list ONLY IF YOU WANT TO!!!! !!!!!

I'm going to UNR if anyone wants to meetup!!! :D

Current List:
Iowa
UNR
PSU
St Anselm
WCU
22 replies
deduck
Today at 4:19 PM
EaZ_Shadow
37 minutes ago
SUMaC Residential vs. Ross
AwesomeDude10   3
N an hour ago by miguel00
Hi! I got into the SUMaC residential i program, and I also recently got off the Ross waitlist. I was wondering if anyone had any insight on which program is
1) More useful in furthering my mathematical knowledge (which has a better curriculum)
2) Since I'm a junior, which is more useful for college apps? (I know this is a little cringe)
Thanks!
3 replies
AwesomeDude10
2 hours ago
miguel00
an hour ago
minimizing sum
gggzul   1
N 2 hours ago by RedFireTruck
Let $x, y, z$ be real numbers such that $x^2+y^2+z^2=1$. Find
$$min\{12x-4y-3z\}.$$
1 reply
gggzul
3 hours ago
RedFireTruck
2 hours ago
Equilateral Triangle inside Equilateral Triangles.
abhisruta03   2
N 2 hours ago by Reacheddreams
Source: ISI 2021 P6
If a given equilateral triangle $\Delta$ of side length $a$ lies in the union of five equilateral triangles of side length $b$, show that there exist four equilateral triangles of side length $b$ whose union contains $\Delta$.
2 replies
abhisruta03
Jul 18, 2021
Reacheddreams
2 hours ago
USAMO 1984 Problem 5 - Polynomial of degree 3n
Binomial-theorem   8
N 2 hours ago by Assassino9931
Source: USAMO 1984 Problem 5
$P(x)$ is a polynomial of degree $3n$ such that

\begin{eqnarray*}
P(0) = P(3) = \cdots &=& P(3n) = 2, \\
P(1) = P(4) = \cdots &=& P(3n-2) = 1, \\
P(2) = P(5) = \cdots &=& P(3n-1) = 0, \quad\text{ and }\\
&& P(3n+1) = 730.\end{eqnarray*}

Determine $n$.
8 replies
Binomial-theorem
Aug 16, 2011
Assassino9931
2 hours ago
Finding positive integers with good divisors
nAalniaOMliO   2
N 2 hours ago by KTYC
Source: Belarusian National Olympiad 2025
For every positive integer $n$ write all its divisors in increasing order: $1=d_1<d_2<\ldots<d_k=n$.
Find all $n$ such that $2025 \cdot n=d_{20} \cdot d_{25}$.
2 replies
1 viewing
nAalniaOMliO
Mar 28, 2025
KTYC
2 hours ago
Balkan MO 2025 p1
Mamadi   1
N 3 hours ago by KevinYang2.71
Source: Balkan MO 2025
An integer \( n > 1 \) is called good if there exists a permutation \( a_1, a_2, \dots, a_n \) of the numbers \( 1, 2, 3, \dots, n \), such that:

\( a_i \) and \( a_{i+1} \) have different parities for every \( 1 \le i \le n - 1 \)

the sum \( a_1 + a_2 + \dots + a_k \) is a quadratic residue modulo \( n \) for every \( 1 \le k \le n \)

Prove that there exist infinitely many good numbers, as well as infinitely many positive integers which are not good.

Remark: Here an integer \( z \) is considered a quadratic residue modulo \( n \) if there exists an integer \( y \) such that \( y^2 \equiv z \pmod{n} \).
1 reply
Mamadi
4 hours ago
KevinYang2.71
3 hours ago
I'm trying to find a good math comp...
ysn613   9
N 3 hours ago by anticodon
Okay, so I'm in sixth grade. I have been doing AMC 8 since fourth grade, but not anything else. I was wondering what other "good" math competitions there are that I am the right age for.

I'm also looking for prep tips for math competitions, because when I (mock)ace 2000-2010 AMC 8 and then get a 19 on the real thing when I was definitely able to solve everything, I feel like what I'm doing isn't really working. Anyone got any ideas? Thanks!
9 replies
ysn613
Apr 30, 2025
anticodon
3 hours ago
Random Points = Problem
kingu   4
N 3 hours ago by zuat.e
Source: Chinese Geometry Handout
Let $ABC$ be a triangle. Let $\omega$ be a circle passing through $B$ intersecting $AB$ at $D$ and $BC$ at $F$. Let $G$ be the intersection of $AF$ and $\omega$. Further, let $M$ and $N$ be the intersections of $FD$ and $DG$ with the tangent to $(ABC)$ at $A$. Now, let $L$ be the second intersection of $MC$ and $(ABC)$. Then, prove that $M$ , $L$ , $D$ , $E$ and $N$ are concyclic.
4 replies
kingu
Apr 27, 2024
zuat.e
3 hours ago
CooL geo
Pomegranat   2
N 3 hours ago by Curious_Droid
Source: Idk

In triangle \( ABC \), \( D \) is the midpoint of \( BC \). \( E \) is an arbitrary point on \( AC \). Let \( S \) be the intersection of \( AD \) and \( BE \). The line \( CS \) intersects with the circumcircle of \( ACD \), for the second time at \( K \). \( P \) is the circumcenter of triangle \( ABE \). Prove that \( PK \perp CK \).
2 replies
Pomegranat
Yesterday at 5:57 AM
Curious_Droid
3 hours ago
Unique Rational Number Representation
abhisruta03   18
N 3 hours ago by Reacheddreams
Source: ISI 2021 P3
Prove that every positive rational number can be expressed uniquely as a finite sum of the form $$a_1+\frac{a_2}{2!}+\frac{a_3}{3!}+\dots+\frac{a_n}{n!},$$where $a_n$ are integers such that $0 \leq a_n \leq n-1$ for all $n > 1$.
18 replies
abhisruta03
Jul 18, 2021
Reacheddreams
3 hours ago
Math solution
Techno0-8   1
N 3 hours ago by jasperE3
Solution
1 reply
Techno0-8
6 hours ago
jasperE3
3 hours ago
D1027 : Super Schoof
Dattier   1
N 3 hours ago by Dattier
Source: les dattes à Dattier
Let $p>11$ a prime number with $a=\text{card}\{(x,y) \in \mathbb Z/ p \mathbb Z: y^2=x^3+1\}$ and $b=\dfrac 1 {((p-1)/2)! \times ((p-1)/3)! \times ((p-1)/6)!} \mod p$ when $p \mod 3=1$.



Is it true that if $p \mod 3=1$ then $a \in \{b,p-b, \min\{b,p-b\}+p\}$ else $A=p$.
1 reply
Dattier
Today at 5:15 PM
Dattier
3 hours ago
MathPath
PatTheKing806   13
N May 4, 2025 by Nora2021
Is anybody else going to MathPath?

I haven't gotten in. its been 3+ weeks since they said my application was done.
13 replies
PatTheKing806
Mar 24, 2025
Nora2021
May 4, 2025
MathPath
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PatTheKing806
1022 posts
#1 • 1 Y
Y by PikaPika999
Is anybody else going to MathPath?

I haven't gotten in. its been 3+ weeks since they said my application was done.
This post has been edited 1 time. Last edited by PatTheKing806, Mar 24, 2025, 1:30 AM
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sciencegirl25
75 posts
#2 • 2 Y
Y by PatTheKing806, PikaPika999
Hey! I've been to MathPath, last year (im not this year), and they do rolling admissions, meaning that depending on when you finished your apps. One of my friends got accepted already, because she submitted early. You should probably expect a letter soon or a waitlist since the send the letters out in batches. hope this helps!
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ZMB038
149 posts
#3 • 2 Y
Y by PikaPika999, SirAppel
Hi I'm Zoe and I'm in 6th grade. I am going to Math Path this year and I'm kinda nervous. @sciencegirl25 what is math path like? Did you go in 6th grade? What are the teachers like? Is it really hard? Is it like the application?
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SOAR1231
28 posts
#4 • 1 Y
Y by PikaPika999
i got in and i am going
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evt917
2401 posts
#5 • 1 Y
Y by PikaPika999
i got in i'm unsure but 3/4 chance

(becuz i'm really young i'm the youngest age there is plus i'm small for my age)
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eyzMath
9 posts
#6 • 1 Y
Y by PikaPika999
i might be getting in but i submitted my application kind of late
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ZMB038
149 posts
#7 • 1 Y
Y by PikaPika999
evt917 wrote:
i got in i'm unsure but 3/4 chance

(becuz i'm really young i'm the youngest age there is plus i'm small for my age)

wait how old are you? If you go maybe we could hang out. I'm also short for my age.
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BraveCobra22aops
27 posts
#8 • 2 Y
Y by littlefox_amc, PikaPika999
I got in. Does anybody have suggestions for which breakouts I should consider?
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ZMB038
149 posts
#9 • 1 Y
Y by PikaPika999
BraveCobra22aops wrote:
I got in. Does anybody have suggestions for which breakouts I should consider?
SOAR1231 wrote:
i got in and i am going

What are your names? I'm Zoe, and I'm also going to MathPath this summer.
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justJen
1957 posts
#10 • 2 Y
Y by PikaPika999, sharknavy75
BraveCobra22aops wrote:
I got in. Does anybody have suggestions for which breakouts I should consider?

First, congrats! Anyways, definitely Dr. V (literally the goat) and Silas (I think he's teaching this summer, according to our latest correspondence)'s classes. Also, take classes that aren't pure math and are more like applied math; they'll be cool (shoutout Special Relativity).
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wc31415
149 posts
#11 • 1 Y
Y by PikaPika999
dr. van cott is also really good; i took her class on ducci sequences last year
also dr. zeitz's classes are really interesting
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eyzMath
9 posts
#12
Y by
i also got in!
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Craftybutterfly
450 posts
#13
Y by
I really want to but I have piano competitions.
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Nora2021
21 posts
#14
Y by
wait... what is that???
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