Contests & Programs
AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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Contests & Programs
AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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Two Sequences
worthawholebean 11
N
an hour ago
by P162008
Source: AIME 2008II Problem 6
The sequence
is defined by
The sequence
is defined by
Find
.

![\[ a_0 = 1,a_1 = 1, \text{ and } a_n = a_{n - 1} + \frac {a_{n - 1}^2}{a_{n - 2}}\text{ for }n\ge2.
\]](http://latex.artofproblemsolving.com/e/3/2/e321dcd3384ee3ef58ff8e7412a9d34d3e13eff4.png)

![\[ b_0 = 1,b_1 = 3, \text{ and } b_n = b_{n - 1} + \frac {b_{n - 1}^2}{b_{n - 2}}\text{ for }n\ge2.
\]](http://latex.artofproblemsolving.com/e/5/4/e546ef04dff00ffc92a5951c4466af1dbd0d474c.png)

11 replies
OTIS or MathWOOT 2
math_on_top 12
N
Today at 1:38 AM
by N3bula
Hey AoPS community I took MathWOOT 1 this year and scored an 8 on AIME (last year I got a 6). My goal is to make it to MOP next year through USAMO. It's gonna be a lot of work, but do you think that I should do MathWOOT 2 or OTIS? Personally, I felt that MathWOOT 1 taught me a lot but was more focused on computational - not sure how to split computation vs olympiad prep. So, for those who can address this question:
(1) How much compuational vs olympiad
(2) OTIS or MathWOOT 2 and why
(1) How much compuational vs olympiad
(2) OTIS or MathWOOT 2 and why
12 replies
looks like roots of unity filter!
math31415926535 37
N
Yesterday at 9:06 PM
by xHypotenuse
Source: 2022 AIME II Problem 13
There is a polynomial
with integer coefficients such that
holds for every
Find the coefficient of
in





37 replies
OMMC TEAM
isache 20
N
Yesterday at 8:32 PM
by steve4916
Hi everyone, im looking for an OMMC team. I have currently solved problems 1-16 with the exception of 13. Also, I would prefer if your team currently has 2 or 3 members. My stats:
133.5 on 10B this year
9 on aime this year, 8 the previous
24 on AMC 8
Orange County (CA) Mathcounts Champion in 8th and runner up in 7th
USCMC 4th place written 2nd place countdown (lost to tiger zhang)
UCSD HMM 5th place
SMT 15th place algebra round
nita main
3x AIME qual
3x AMC 10hr
133.5 on 10B this year
9 on aime this year, 8 the previous
24 on AMC 8
Orange County (CA) Mathcounts Champion in 8th and runner up in 7th
USCMC 4th place written 2nd place countdown (lost to tiger zhang)
UCSD HMM 5th place
SMT 15th place algebra round
nita main
3x AIME qual
3x AMC 10hr
20 replies
[$10K+ IN PRIZES] Poolesville Math Tournament (PVMT) 2025
qwerty123456asdfgzxcvb 16
N
Yesterday at 7:46 PM
by Inaaya
Hi everyone!
After the resounding success of the first three years of PVMT, the Poolesville High School Math Team is excited to announce the fourth annual Poolesville High School Math Tournament (PVMT)! The PVMT team includes a MOPper and multiple USA(J)MO and AIME qualifiers!
PVMT is open to all 6th-9th graders in the country (including rising 10th graders). Students will compete in teams of up to 4 people, and each participant will take three subject tests as well as the team round. The contest is completely free, and will be held virtually on June 7, 2025, from 10:00 AM to 4:00 PM (EST).
Additionally, thanks to our sponsors, we will be awarding approximately $10K+ worth of prizes (including gift cards, Citadel merch, AoPS coupons, Wolfram licenses) to top teams and individuals. More details regarding the actual prizes will be released as we get closer to the competition date.
Further, newly for this year we might run some interesting mini-events, which we will announce closer to the competition date, such as potentially a puzzle hunt and integration bee!
If you would like to register for the competition, the registration form can be found at https://pvmt.org/register.html or https://tinyurl.com/PVMT25.
Additionally, more information about PVMT can be found at https://pvmt.org
If you have any questions not answered in the below FAQ, feel free to ask in this thread or email us at falconsdomath@gmail.com!
We look forward to your participation!
FAQ
After the resounding success of the first three years of PVMT, the Poolesville High School Math Team is excited to announce the fourth annual Poolesville High School Math Tournament (PVMT)! The PVMT team includes a MOPper and multiple USA(J)MO and AIME qualifiers!
PVMT is open to all 6th-9th graders in the country (including rising 10th graders). Students will compete in teams of up to 4 people, and each participant will take three subject tests as well as the team round. The contest is completely free, and will be held virtually on June 7, 2025, from 10:00 AM to 4:00 PM (EST).
Additionally, thanks to our sponsors, we will be awarding approximately $10K+ worth of prizes (including gift cards, Citadel merch, AoPS coupons, Wolfram licenses) to top teams and individuals. More details regarding the actual prizes will be released as we get closer to the competition date.
Further, newly for this year we might run some interesting mini-events, which we will announce closer to the competition date, such as potentially a puzzle hunt and integration bee!
If you would like to register for the competition, the registration form can be found at https://pvmt.org/register.html or https://tinyurl.com/PVMT25.
Additionally, more information about PVMT can be found at https://pvmt.org
If you have any questions not answered in the below FAQ, feel free to ask in this thread or email us at falconsdomath@gmail.com!
We look forward to your participation!
FAQ
How do I sign up?
You can sign up through the Google form at https://tinyurl.com/PVMT25.
When will registration close?
The registration deadline is on June 6, at 11:59 PM EST. You may sign up anytime before then.
What if I don't have a team or my team has less than 4 people?
You can still register as an individual or as a team of less than four, you'll just have a disadvantage on the team round.
Are calculators allowed?
No. Calculators, textbooks, computer programs, and other outside aids are not allowed on any round in the contest.
What is the difficulty of the problems?
Problems will range from early-AMC 8 to mid-late AIME difficulty.
Will there be any kind of proctoring?
Yes, you will be proctored through Zoom. The opening and closing ceremony will also be held on Zoom.
You can sign up through the Google form at https://tinyurl.com/PVMT25.
When will registration close?
The registration deadline is on June 6, at 11:59 PM EST. You may sign up anytime before then.
What if I don't have a team or my team has less than 4 people?
You can still register as an individual or as a team of less than four, you'll just have a disadvantage on the team round.
Are calculators allowed?
No. Calculators, textbooks, computer programs, and other outside aids are not allowed on any round in the contest.
What is the difficulty of the problems?
Problems will range from early-AMC 8 to mid-late AIME difficulty.
Will there be any kind of proctoring?
Yes, you will be proctored through Zoom. The opening and closing ceremony will also be held on Zoom.
16 replies
Coordbashing = 0?
UberPiggy 14
N
Yesterday at 6:38 PM
by Math4Life2020
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!
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!
14 replies
MAA messed up the order(n)
skipiano 200
N
Yesterday at 6:23 PM
by Rayvhs
Source: 2017 USAJMO #1/USAMO #1
Prove that there are infinitely many distinct pairs
of relatively prime integers
and
such that
is divisible by
.





200 replies
Units Digit of Monomial/Exponent
worthawholebean 21
N
Yesterday at 5:50 PM
by P162008
Source: AMC 12 2008A Problem 15
Let
. What is the units digit of
?



21 replies
Join My OMMC Team?
RupertStream 0
Yesterday at 5:34 PM
Hey would anyone like to join my team The MVPs for the OMMC? It is happening right now and I realize that, I have no chance of finishing it within the 8 day time limit. It is free to compete and you can win money just say you want to join and I can add you and send the test to your gmail.
0 replies
USAJMO problem 3: Inequality
BOGTRO 105
N
Yesterday at 5:17 PM
by Adywastaken
Let
be positive real numbers. Prove that
.


105 replies
9 USAMO/JMO
BAM10 16
N
Yesterday at 5:11 PM
by Schintalpati
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
16 replies
