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a My Retirement & New Leadership at AoPS
rrusczyk   1345
N an hour ago by GoodGamer123
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
1345 replies
rrusczyk
Monday at 6:37 PM
GoodGamer123
an hour ago
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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
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]
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0 replies
jlacosta
Mar 2, 2025
0 replies
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H
Practice AMC 10 Final Fives
freddyfazbear   1
N an hour ago by WannabeUSAMOkid
So someone pointed out to me that the last five problems on my previous practice AMC 10 test were rather low quality. Here are some problems that are (hopefully) better.

21.
A partition of a positive integer n is writing n as the sum of positive integer(s), where order does not matter. Find the number of partitions of 6.
A - 10, B - 11, C - 12, D - 13, E - 14

22.
Let n be the smallest positive integer that satisfies the following conditions:
- n is even
- The last digit of n is not 2 or 8
- n^2 + 1 is composite
Find the sum of the digits of n.
A - 3, B - 5, C - 8, D - 9, E - 10

23.
Find the sum of the coordinates of the reflection of the point (6, 9) over the line x + 2y + 3 = 0.
A - (-17.7), B - (-17.6), C - (-17.5), D - (-17.4), E - (-17.3)

24.
Find the number of ordered pairs of integers (a, b), where both a and b have absolute value less than 69, such that a^2 + 42b^2 = 13ab.
A - 21, B - 40, C - 41, D - 42, E - 69

25.
Let f(n) be the sum of the positive integer factors of n, where n is an integer. Find the sum of all positive integers n less than 1000 such that f(f(n) - n) = f(n).
A - 420, B - 530, C - 690, D - 911, E - 1034
1 reply
freddyfazbear
2 hours ago
WannabeUSAMOkid
an hour ago
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What should I do
Jaxman8   0
an hour ago
I recently mocked 2 AMC 10’s, and 2 AIME’s. My scores for the AMC 10 were both 123 and my AIME scores were 8 and 9 for 2010 I and II. What should I study for 2025-2026 AMCs? Goal is JMO.
0 replies
Jaxman8
an hour ago
0 replies
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usamOOK geometry
KevinYang2.71   86
N 2 hours ago by deduck
Source: USAMO 2025/4, USAJMO 2025/5
Let $H$ be the orthocenter of acute triangle $ABC$, let $F$ be the foot of the altitude from $C$ to $AB$, and let $P$ be the reflection of $H$ across $BC$. Suppose that the circumcircle of triangle $AFP$ intersects line $BC$ at two distinct points $X$ and $Y$. Prove that $C$ is the midpoint of $XY$.
86 replies
KevinYang2.71
Mar 21, 2025
deduck
2 hours ago
J
H
Scary Binomial Coefficient Sum
EpicBird08   38
N 2 hours ago by Mathandski
Source: USAMO 2025/5
Determine, with proof, all positive integers $k$ such that $$\frac{1}{n+1} \sum_{i=0}^n \binom{n}{i}^k$$is an integer for every positive integer $n.$
38 replies
1 viewing
EpicBird08
Mar 21, 2025
Mathandski
2 hours ago
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USAMO Grading
AdityaDwivedi   2
N Mar 23, 2025 by mathprodigy2011
Hello,

I was wondering how USAMO grading works. For one of my solutions, I kinda generalized a part of my solution cause I assumed that the reader would be able to follow but idk if it’ll drop my score from a 7 to a 5 or 6. So how much detail to I rlly need to include to get full points?
2 replies
AdityaDwivedi
Mar 23, 2025
mathprodigy2011
Mar 23, 2025
J
USAMO Grading
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AdityaDwivedi
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AdityaDwivedi
#1 h  Mar 23, 2025, 4:21 PM
Y by
Hello,

I was wondering how USAMO grading works. For one of my solutions, I kinda generalized a part of my solution cause I assumed that the reader would be able to follow but idk if it’ll drop my score from a 7 to a 5 or 6. So how much detail to I rlly need to include to get full points?
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cowstalker
275 posts
cowstalker
#2 h  Mar 23, 2025, 5:13 PM
Y by
according to evan chen, "its enough to know that you know the solution". It should be a solution that someone who doesn't know the solution can't still write if you use like generic work and steps. If you have calculations, show them. Don't make any false claims in the proof.
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mathprodigy2011
235 posts
mathprodigy2011
#3 h  Mar 23, 2025, 11:24 PM
Y by
AdityaDwivedi wrote:
Hello,

I was wondering how USAMO grading works. For one of my solutions, I kinda generalized a part of my solution cause I assumed that the reader would be able to follow but idk if it’ll drop my score from a 7 to a 5 or 6. So how much detail to I rlly need to include to get full points?

i dont think they take more then 1 point off for those kinda stuff. idk tho
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