[Signups Now!] - Inaugural Academy Math Tournament

by elements2015, May 12, 2025, 8:13 PM

Hello!

Pace Academy, from Atlanta, Georgia, is thrilled to host our Inaugural Academy Math Tournament online through Saturday, May 31.

AOPS students are welcome to participate online, as teams or as individuals (results will be reported separately for AOPS and Georgia competitors). The difficulty of the competition ranges from early AMC to mid-late AIME, and is 2 hours long with multiple sections. The format is explained in more detail below. If you just want to sign up, here's the link:

https://forms.gle/ih548axqQ9qLz3pk7

If participating as a team, each competitor must sign up individually and coordinate team names!

Detailed information below:

Divisions & Teams

Junior Varsity: Students in 10th grade or below who are enrolled in Algebra 2 or below.
Varsity: All other students.
Teams of up to four students compete together in the same division.
- (If you have two JV‑eligible and two Varsity‑eligible students, you may enter either two teams of two or one four‑student team in Varsity.)
- You may enter multiple teams from your school in either division.
- Teams need not compete at the same time. Each individual will complete the test alone, and team scores will be the sum of individual scores.

Competition Format
Both sections—Sprint and Challenge—will be administered consecutively in a single, individually completed 120-minute test. Students may allocate time between the sections however they wish to.

Sprint Section
- 25 multiple‑choice questions (five choices each)
- recommended 2 minutes per question
- 6 points per correct answer; no penalty for guessing
Challenge Section
- 18 open‑ended questions
- answers are integers between 1 and 10,000
- recommended 3 or 4 minutes per question
- 8 points each

You may use blank scratch/graph paper, rulers, compasses, protractors, and erasers. No calculators are allowed on this examination.

Awards & Scoring

There are no cash prizes.
Team Awards: Based on the sum of individual scores (four‑student teams have the advantage). Top 8 teams in each division will be recognized.
Individual Awards: Top 8 individuals in each division, determined by combined Sprint + Challenge scores, will receive recognition.

How to Sign Up
Please have EACH STUDENT INDIVIDUALLY reserve a 120-minute window for your team's online test in THIS GOOGLE FORM:
https://forms.gle/ih548axqQ9qLz3pk7
EACH STUDENT MUST REPLY INDIVIDUALLY TO THE GOOGLE FORM.
You may select any slot from now through May 31, weekdays or weekends. You will receive an email with the questions and a form for answers at the time you receive the competition. There will be a 15-minute grace period for entering answers after the competition.

math

Math Competitions

Tournament

Math Tournaments

Jane street swag package? USA(J)MO

by arfekete, May 7, 2025, 4:34 PM

Hey! People are starting to get their swag packages from Jane Street for qualifying for USA(J)MO, and after some initial discussion on what we got, people are getting different things. Out of curiosity, I was wondering how they decide who gets what.
Please enter the following info:

- USAMO or USAJMO
- Grade
- Score
- Award/Medal/HM
- MOP (yes or no, if yes then color)
- List of items you got in your package

I will reply with my info as an example.

ranttttt

by alcumusftwgrind, Apr 30, 2025, 11:04 PM

rant

summer program

Ross Mathematics Program

PROMYS

Mathcamp

MathILy

[MAIN ROUND STARTS MAY 17] OMMC Year 5

by DottedCaculator, Apr 26, 2025, 5:40 PM

Hello to all creative problem solvers,

Do you want to work on a fun, untimed team math competition with amazing questions by MOPpers and IMO & EGMO medalists? $\phantom{You lost the game.}$
Do you want to have a chance to win thousands in cash and raffle prizes (no matter your skill level)?

Check out the fifth annual iteration of the

Online Monmouth Math Competition!

Online Monmouth Math Competition, or OMMC, is a 501c3 accredited nonprofit organization managed by adults, college students, and high schoolers which aims to give talented high school and middle school students an exciting way to develop their skills in mathematics.

Our website: https://www.ommcofficial.org/
Our Discord (6000+ members): https://tinyurl.com/joinommc
Test portal: https://ommc-test-portal.vercel.app/

This is not a local competition; any student 18 or younger anywhere in the world can attend. We have changed some elements of our contest format, so read carefully and thoroughly. Join our Discord or monitor this thread for updates and test releases.

How hard is it?

We plan to raffle out a TON of prizes over all competitors regardless of performance. So just submit: a few minutes of your time will give you a great chance to win amazing prizes!

How are the problems?

You can check out our past problems and sample problems here:
https://www.ommcofficial.org/sample
https://www.ommcofficial.org/2022-documents
https://www.ommcofficial.org/2023-documents
https://www.ommcofficial.org/ommc-amc

How will the test be held?/How do I sign up?

Solo teams?

Test Policy

Timeline:
Main Round: May 17th - May 24th
Test Portal Released. The Main Round of the contest is held. The Main Round consists of 25 questions that each have a numerical answer. Teams will have the entire time interval to work on the questions. They can submit any time during the interval. Teams are free to edit their submissions before the period ends, even after they submit.

Final Round: May 26th - May 28th
The top placing teams will qualify for this invitational round (5-10 questions). The final round consists of 5-10 proof questions. Teams again will have the entire time interval to work on these questions and can submit their proofs any time during this interval. Teams are free to edit their submissions before the period ends, even after they submit.

Conclusion of Competition: Early June
Solutions will be released, winners announced, and prizes sent out to winners.

Scoring:

Prizes:

I have more questions. Whom do I ask?

We hope for your participation, and good luck!

OMMC staff

OMMC’S 2025 EVENTS ARE SPONSORED BY:

Nontrivial Fellowship
Citadel
SPARC
Jane Street
And counting!

ommc

math

Will I make JMO?

by EaZ_Shadow, Feb 7, 2025, 4:20 PM

Loading poll details...

will I be able to make it... will the cutoffs will be pre-2024

poll

Beams inside a cube

by AOPS12142015, Jun 21, 2020, 10:59 PM

An empty $2020 \times 2020 \times 2020$ cube is given, and a $2020 \times 2020$ grid of square unit cells is drawn on each of its six faces. A beam is a $1 \times 1 \times 2020$ rectangular prism. Several beams are placed inside the cube subject to the following conditions:

The two $1 \times 1$ faces of each beam coincide with unit cells lying on opposite faces of the cube. (Hence, there are $3 \cdot {2020}^2$ possible positions for a beam.)
No two beams have intersecting interiors.
The interiors of each of the four $1 \times 2020$ faces of each beam touch either a face of the cube or the interior of the face of another beam.

What is the smallest positive number of beams that can be placed to satisfy these conditions?

Proposed by Alex Zhai

This post has been edited 1 time. Last edited by djmathman, Jun 22, 2020, 5:30 AM
Reason: problem author

Summer internships/research opportunists in STEM

by o99999, Apr 22, 2020, 12:39 AM

Hi, I am a current high school student and was looking for internships and research opportunities in STEM. Do you guys know any summer programs that do research such as RSI, but for high school freshmen that are open?
Thanks.

internships

research

summer program

6 (of 24)

by math_explorer, Nov 6, 2016, 2:17 AM

I came indoors to protect myself from the elements of nature, but this huge swarm of insects followed me in! It was totally crazy!

set theory

Equivalent averages

by Royalreter1, Feb 3, 2016, 3:16 PM

The mean, median, and mode of the $7$ data values $60, 100, x, 40, 50, 200, 90$ are all equal to $x$ . What is the value of $x$ ?

$\textbf{(A)}\ 50 \qquad\textbf{(B)}\ 60 \qquad\textbf{(C)}\ 75 \qquad\textbf{(D)}\ 90 \qquad\textbf{(E)}\ 100$

This post has been edited 1 time. Last edited by Royalreter1, Feb 3, 2016, 3:23 PM
Reason: Thanks, @MSTang

Paths around a circle

by tenniskidperson3, Apr 30, 2013, 9:59 PM

For a positive integer $n\geq 3$ plot $n$ equally spaced points around a circle. Label one of them $A$ , and place a marker at $A$ . One may move the marker forward in a clockwise direction to either the next point or the point after that. Hence there are a total of $2n$ distinct moves available; two from each point. Let $a_n$ count the number of ways to advance around the circle exactly twice, beginning and ending at $A$ , without repeating a move. Prove that $a_{n-1}+a_n=2^n$ for all $n\geq 4$ .

Nonlinear System

by worthawholebean, Mar 17, 2010, 3:17 PM

Let $(a,b,c)$ be the real solution of the system of equations $x^3 - xyz = 2$ , $y^3 - xyz = 6$ , $z^3 - xyz = 20$ . The greatest possible value of $a^3 + b^3 + c^3$ can be written in the form $\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$ .