I write today to announce my retirement as CEO from Art of Problem Solving. When I founded AoPS 22 years ago, I never imagined that we would reach so many students and families, or that we would find so many channels through which we discover, inspire, and train the great problem solvers of the next generation. I am very proud of all we have accomplished and I’m thankful for the many supporters who provided inspiration and encouragement along the way. I'm particularly grateful to all of the wonderful members of the AoPS Community!
I’m delighted to introduce our new leaders - Ben Kornell and Andrew Sutherland. Ben has extensive experience in education and edtech prior to joining AoPS as my successor as CEO, including starting like I did as a classroom teacher. He has a deep understanding of the value of our work because he’s an AoPS parent! Meanwhile, Andrew and I have common roots as founders of education companies; he launched Quizlet at age 15! His journey from founder to MIT to technology and product leader as our Chief Product Officer traces a pathway many of our students will follow in the years to come.
Thank you again for your support for Art of Problem Solving and we look forward to working with millions more wonderful problem solvers in the years to come.
And special thanks to all of the amazing AoPS team members who have helped build AoPS. We’ve come a long way from here:IMAGE
ka March Highlights and 2025 AoPS Online Class Information
jlacosta0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.
Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!
Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.
Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/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.
Prealgebra 1
Sunday, Mar 2 - Jun 22
Friday, Mar 28 - Jul 18
Sunday, Apr 13 - Aug 10
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29
Prealgebra 2
Tuesday, Mar 25 - Jul 8
Sunday, Apr 13 - Aug 10
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21
Introduction to Algebra A
Sunday, Mar 23 - Jul 20
Monday, Apr 7 - Jul 28
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28
Introduction to Counting & Probability
Sunday, Mar 16 - Jun 8
Wednesday, Apr 16 - Jul 2
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19
Introduction to Number Theory
Monday, Mar 17 - Jun 9
Thursday, Apr 17 - Jul 3
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30
Introduction to Algebra B
Sunday, Mar 2 - Jun 22
Wednesday, Apr 16 - Jul 30
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14
Introduction to Geometry
Tuesday, Mar 4 - Aug 12
Sunday, Mar 23 - Sep 21
Wednesday, Apr 23 - Oct 1
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19
Intermediate: Grades 8-12
Intermediate Algebra
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
Monday, Apr 21 - Oct 13
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22
MATHCOUNTS/AMC 8 Basics
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
AMC 10 Problem Series
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21
AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22
Introduction to Programming with Python
Monday, Mar 24 - Jun 16
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22
Do you want to work on a fun, untimed team math competition with amazing questions by MOPpers and IMO & EGMO medalists?
Do you want to have a chance to win thousands in cash and raffle prizes (no matter your skill level)?
Check out the fourth 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.
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 designed OMMC to be accessible to beginners but also challenging to experts. Earlier questions on the main round will be around the difficulty of easy questions from the AMC 8 and AMC 10/12, and later questions will be at the difficulty of the hardest questions from the AIME. Our most skilled teams are invited to compete in a newly developed invitational final round consisting of difficult proof questions. We hope that teams will have fun and think deeply about the problems on the test, no matter their skill level.
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?
Only the best problems by our panel of dedicated and talented problem writers have been selected. Hundreds upon hundreds of problems have been comprehensively reviewed by our panel of equally wonderful testsolvers. Our content creation staff has achieved pretty much every mathematical achievement possible! Staff members have attended MOP, participated in MIT-PRIMES, RSI, SPARC, won medals at EGMO, IMO, RMM, etc. Our staff members have contributed to countless student-led math organizations and competitions in the past and we all have a high degree of mathematical experience under our belts. We believe OMMC Year 4 contains some of our best work thus far.
We highly recommend competitors join our Community Discord for the latest updates on the competition, as well as for finding team members to team up with. Each team is between 1 and 4 people, inclusive. Each competitor in a team has to be 18 or younger. You won’t have to sign up right now. Look out for a test portal link by which teams can register and access the test. Teams will put in their registration information as they submit the test.
However, we do encourage you to “sign up” on this thread, just like how you might with a mock contest. This isn’t required to take the test nor does it force you to take the test. But it’s a great way to show support and bump the thread to the top of the forums, so we appreciate it. (Also a great way to find teammates!)
Solo teams?
Solo participants are allowed and will be treated simply as one man teams. They will be eligible for the same prizes as teams with multiple people.
Test Policy
Our test will be held completely online and untimed. We do not allow the use of anything other than writing utensils, scratch paper, compass, ruler/straightedge, and a single four function calculator (addition, subtraction, multiplication, division).
Timeline:
Main Round: May 19th - May 26th 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 28th - May 30th The top placing teams will qualify for this invitational round (7 questions). The final round consists of 7 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:
For the main round, there are 25 computational (number answer questions). Each of the 25 questions will be worth 2 points, for a total of 50 points. Ties are broken by the last (highest numbered) question that one team solved and the other team didn’t, MATHCOUNTS-style. The team that solved this question would be given preference. For example, if teams A and B both have scores of 24, but Team A got question 20 wrong and Team B got question 25 wrong, then team A will be given preference over team B because team A solved question 25.
The top ~10-15 teams will move onto the final round, where there are 7 proof questions. Each of the 7 questions is worth a different number of points (the specific weighting will be given to each of the finalist teams). The Olympiad round in total will be worth 50 points. A team’s total OMMC index will be the sum of the main round score and the final round score (out of 50+50=100), and teams will be ranked on their OMMC index (if there are ties, they will be broken by the aforementioned main round tie breaking system).
In past years we’ve received $5000+ in prizes. Stay tuned for more details, but we intend to give prizes to all teams on the leaderboard, as well as raffle out a TON of prizes over all competitors. So just submit: a few minutes of your time will give you a great chance to win amazing prizes!
I have more questions. Whom do I ask?
We respond most quickly on our community discord, but you can also contact us through email via the ommcofficial@gmail.com address.
We hope for your participation, and good luck!
OMMC staff
OMMC’S 2024 EVENTS ARE SPONSORED BY:
[list]
[*]Nontrivial Fellowship
[*]Citadel
[*]SPARC
[*]Jane Street
[*]And counting!
[/list]
How difficult is it to get into USA Canada math camp? What should be expected from an accepted applicant in terms of the qualifying quiz, essays and other awards or math context?
If you want to start a thread to discuss a particular problem, first check the list above to see if it already exists. Please add the tag "2024 AMC 10B" on individual problem threads and include the problem number in the source to make it easier for people to find the thread in the future through tags or searching.
(We're using this "official discussion thread" strategy as a way to keep things more organized. You can create additional threads about the exam if they're for a distinct enough purpose – for example, if they include a poll – but questions/comments about your impressions of the test overall can be discussed in this thread.)
Three mutually tangent non-degenerate spheres rest on a plane. Let their centers be , and . The spheres with centers , and touch the plane at , and , respectively. Prove that
A set is called a if it satisfies the following conditions: contains at least two elements. For all with , we have , and among the two numbers and , exactly one is rational. For all , is irrational.
What is the maximum number of elements that can have?
Given a fair -sided die with sides , consider the following game:
1. Roll the die. If the roll results in , you win immediately.
2. Otherwise, roll again. However, if the second roll is not greater than the previous roll, you lose.
3. Continue rolling until either:
- You roll , in which case you win.
- Or, your current roll is not greater than your previous roll, in which case you lose.
For example, when :
- Rolls : Win
- Rolls : Lose
- Rolls : Lose
- Rolls : Win
Find a formula to find the probability of winning for any given .
Let a,b,c\ge 0: a+b+c=3 then prove \frac{a+bc}{b^{2}+c^{2}+2}+\frac{b+ca}{c^{2}+a^{2}+2}+\frac{c+ab}{a^{2}+b^{2}+2}\le \frac{3}{2}
When does equality hold?
Sorry guys for being toxic (mainly @happymoose666), my official score is not because I did not take it, I did not get a score, I checked from edvistas.
This post has been edited 2 times. Last edited by maxamc, Mar 1, 2025, 4:24 PM
Looks like I'm the only one that is 3rd grade. MWAHAHAHAHAHA!!!!!!! first things first imma say all the things inside my head I'm fired and tired of the way that things have been oh ooh the way that things have been oh ooh la mi re re do re re mi re do la so la well what song IS this?
Looks like I'm the only one that is 3rd grade. MWAHAHAHAHAHA!!!!!!! first things first imma say all the things inside my head I'm fired and tired of the way that things have been oh ooh the way that things have been oh ooh la mi re re do re re mi re do la so la well what song IS this?
ITS BELIEVER!!!
mi re re re do re re mi re do la so la do la mi mi re do la so la do la si