HOT TAKE: MIT SHOULD NOT RELEASE THEIR DECISIONS ON PI DAY
by alcumusftwgrind, Mar 15, 2025, 2:11 AM
AIME score for college apps
by Happyllamaalways, Mar 13, 2025, 1:34 AM
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
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.
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:
Details are written out at https://web.evanchen.cc/mockaime.html, but to highlight important info:
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.
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.
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 
that satisfy
![\[
f(x^2-y)+2yf(x)=f(f(x))+f(y)
\]](//latex.artofproblemsolving.com/f/b/b/fbb693770cd90d8a144026608074122e54da5802.png)
for all 
.
Proposed by Carl Schildkraut
that satisfy![\[
f(x^2-y)+2yf(x)=f(f(x))+f(y)
\]](http://latex.artofproblemsolving.com/f/b/b/fbb693770cd90d8a144026608074122e54da5802.png)
for all 
.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 
is selected inside acute 
so that 
and 
. Point 
is chosen on ray 
so that 
. Let 
be the midpoint of 
.
Show that line
is tangent to the circumcircle of triangle 
.
Proposed by Anton Trygub
is selected inside acute 
so that 
and 
. Point 
is chosen on ray 
so that 
. Let 
be the midpoint of 
.Show that line
is tangent to the circumcircle of triangle 
.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 
be an integer. Rowan and Colin play a game on an 
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:
, how many orderly colorings are there?
Proposed by Alec Sun
be an integer. Rowan and Colin play a game on an 
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.
, 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 
denote the set of positive integers. Find all functions 
such that for positive integers 
and 
![\[f(a^2 + b^2) = f(a)f(b) \text{ and } f(a^2) = f(a)^2.\]](//latex.artofproblemsolving.com/c/1/f/c1f8ffe04cfcc45b498f3931a4796d5c56dc04d0.png)
denote the set of positive integers. Find all functions 
such that for positive integers 
and 
![\[f(a^2 + b^2) = f(a)f(b) \text{ and } f(a^2) = f(a)^2.\]](http://latex.artofproblemsolving.com/c/1/f/c1f8ffe04cfcc45b498f3931a4796d5c56dc04d0.png)
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