MIT Beaverworks Summer Institute

by PowerOfPi_09, Mar 15, 2025, 4:30 PM

Hi! I was wondering if anyone here has completed this program, and if so, which track did you choose? Do rising juniors have a chance, or is it mainly rising seniors that they accept? Also, how long did it take you to complete the prerequisites?
Thanks!

HOT TAKE: MIT SHOULD NOT RELEASE THEIR DECISIONS ON PI DAY

by alcumusftwgrind, Mar 15, 2025, 2:11 AM

rant lol

Imagine a poor senior waiting for their MIT decisions just to have their hopes CRUSHED on 3/14 and they can't even celebrate pi day...

and even worse, this year's pi day is special because this year is a very special number...

How to get better at AMC 10

by Dream9, Mar 15, 2025, 1:17 AM

I'm nearly in high school now but only average like 75 on AMC 10 sadly. I want to get better so I'm doing like the first 11 questions of previous AMC 10's almost every day because I also did previous years for AMC 8. Is there any specific way to get better scores and understand more difficult problems past AMC 8? I have almost no trouble with AMC 8 problem given enough time (like 23-24 right with enough time).

AIME score for college apps

by Happyllamaalways, Mar 13, 2025, 1:34 AM

What good colleges do I have a chance of getting into with an 11 on AIME? (Any chances for Princeton)

Also idk if this has weight but I had the highest AIME score in my school.
This post has been edited 1 time. Last edited by Happyllamaalways, Mar 13, 2025, 1:37 AM

Tennessee Math Tournament (TMT) Online 2025

by TennesseeMathTournament, Mar 9, 2025, 7:30 PM

Hello everyone! We are excited to announce a new competition, the Tennessee Math Tournament, created by the Tennessee Math Coalition! Anyone can participate in the virtual competition for free.

The testing window is from March 22nd to April 5th, 2025. Virtual competitors may participate in the competition at any time during that window.

The virtual competition consists of three rounds: Individual, Bullet, and Team. The Individual Round is 60 minutes long and consists of 30 questions (AMC 10 level). The Bullet Round is 20 minutes long and consists of 80 questions (Mathcounts Chapter level). The Team Round is 30 minutes long and consists of 16 questions (AIME level). Virtual competitors may compete in teams of four, or choose to not participate in the team round.

To register and see more information, click here!

If you have any questions, please email connect@tnmathcoalition.org or reply to this thread!
Attachments:
This post has been edited 1 time. Last edited by TennesseeMathTournament, Mar 9, 2025, 7:33 PM

OTIS Mock AIME 2025 airs Dec 19th

by v_Enhance, Dec 6, 2024, 7:08 PM

Satisfactory. Keep cooking.
https://web.evanchen.cc/static/otter-cooking.png

Problems are posted at https://web.evanchen.cc/mockaime.html#current now!

Like last year, we're running the OTIS Mock AIME 2025 again, except this time there will actually be both a I and a II because we had enough problems to pull it off. However, the two versions will feel quite different from each other:
  • The OTIS Mock AIME I is going to be tough. It will definitely be harder than the actual AIME, by perhaps 2 to 4 problems. But more tangibly, it will also have significant artistic license. Problems will freely assume IMO-style background throughout the test, and intentionally stretch the boundary of what constitutes an “AIME problem”.
  • The OTIS Mock AIME II is meant to be more practically useful. It will adhere more closely to the difficulty and style of the real AIME. There will inevitably still be some more IMO-flavored problems, but they’ll appear later in the ordering.
Like last time, all 30 problems are set by current and past OTIS students.

Details are written out at https://web.evanchen.cc/mockaime.html, but to highlight important info:
  • Free, obviously. Anyone can participate.
  • Both tests will release sometime Dec 19th. You can do either/both.
  • If you'd like to submit for scoring, you should do so by January 20th at 23:59 Pacific time (same deadline for both). Please hold off on public spoilers before then.
  • Solutions, statistics, and maybe some high scores will be published shortly after that.
Feel free to post questions, hype comments, etc. in this thread.
This post has been edited 1 time. Last edited by v_Enhance, Dec 19, 2024, 6:43 PM

average FE

by KevinYang2.71, Mar 21, 2024, 4:00 AM

Find all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ that satisfy
\[
f(x^2-y)+2yf(x)=f(f(x))+f(y)
\]for all $x,y\in\mathbb{R}$.

Proposed by Carl Schildkraut
This post has been edited 1 time. Last edited by KevinYang2.71, Mar 21, 2024, 3:13 PM

Geo equals ABsurdly proBEMatic

by ihatemath123, Mar 21, 2024, 4:00 AM

Point $D$ is selected inside acute $\triangle ABC$ so that $\angle DAC = \angle ACB$ and $\angle BDC = 90^{\circ} + \angle BAC$. Point $E$ is chosen on ray $BD$ so that $AE = EC$. Let $M$ be the midpoint of $BC$.

Show that line $AB$ is tangent to the circumcircle of triangle $BEM$.

Proposed by Anton Trygub
This post has been edited 1 time. Last edited by ihatemath123, Mar 21, 2024, 2:53 PM

rows are DERANGED and a SOCOURGE to usajmo .

by GrantStar, Mar 21, 2024, 4:00 AM

Let $n \geq 3$ be an integer. Rowan and Colin play a game on an $n \times n$ grid of squares, where each square is colored either red or blue. Rowan is allowed to permute the rows of the grid and Colin is allowed to permute the columns. A grid coloring is orderly if:
  • no matter how Rowan permutes the rows of the coloring, Colin can then permute the columns to restore the original grid coloring; and
  • no matter how Colin permutes the columns of the coloring, Rowan can then permute the rows to restore the original grid coloring.
In terms of $n$, how many orderly colorings are there?

Proposed by Alec Sun
This post has been edited 3 times. Last edited by GrantStar, Mar 21, 2024, 7:37 PM

An FE. Who woulda thunk it?

by nikenissan, Apr 15, 2021, 5:13 PM

Let $\mathbb{N}$ denote the set of positive integers. Find all functions $f : \mathbb{N} \rightarrow \mathbb{N}$ such that for positive integers $a$ and $b,$ \[f(a^2 + b^2) = f(a)f(b) \text{ and } f(a^2) = f(a)^2.\]

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