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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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k a My Retirement & New Leadership at AoPS

rrusczyk 1571

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

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

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.

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0 replies

jlacosta

Mar 2, 2025

0 replies

aops ids

Bummer12345 77

Make your argument here on why your AoPS user ID is the coolest!!!!! :pilot: :pilot: :pilot: :pilot: :pilot:

For instance, my ID, $573803$ , can be written as $547 \cdot 1049$ , both which are prime.

$547$ is a cuban prime, prime index prime

$1049$ is a Sophie Germain prime

I think my ID is pretty cool, but theres probably better IDs out there.

stuff

77 replies

Bummer12345

Mar 28, 2025

ohiorizzler1434

an hour ago

exponents

Arvind_sn 39

What is the highest possible $e$ in $2^{e}<200$ ?

39 replies

Arvind_sn

Jul 12, 2006

ohiorizzler1434

2 hours ago

Water Watermelon

hwenterprise 23

A giant watermelon weighed 50 pounds and was 99 percent water. After sitting in the hot sun, some of the water evaporated so that the watermelon was only 98 percent water. What is the new weight of the watermelon?

23 replies

hwenterprise

Sep 18, 2005

KF329

2 hours ago

How to pronounce Rusczyk

Dream9 16

I've always said like ruzz icks. I don't know why I say it as plural but does anyone know how to say the sigma's last name?

16 replies

Dream9

Saturday at 11:48 PM

KF329

2 hours ago

High School Math Grades 9-12, Ages 13-18

Grades 9-12, Ages 13-18

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High School Math Grades 9-12, Ages 13-18

Grades 9-12, Ages 13-18

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120,226 topics

3 users

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First Poster

Last Poster

k a My Retirement & New Leadership at AoPS

rrusczyk 1571

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Mar 2, 2025

0 replies

Solve the equetion

yt12 2

Solve the equetion: $\sin 2x+\tan x=2$

2 replies

yt12

3 hours ago

lbh_qys

an hour ago

An inequality

JK1603JK 1

Let a,b,c\ge 0: ab+bc+ca>0 then prove \frac{4ab+5c^2}{a+b}+\frac{4bc+5a^2}{b+c}+\frac{4ca+5b^2}{c+a}\ge \frac{3}{2}\cdot\frac{(a+b+c)^3}{ab+bc+ca}.

1 reply

2 viewing

JK1603JK

4 hours ago

lbh_qys

2 hours ago

functional equation in R2

jasperE3 2

Find all functions $f:\mathbb R\times\mathbb R\to\mathbb R$ such that:
$a)\enspace f(x+z,y+z)=f(x,y)+z$
$b)\enspace f(xw,yw)=wf(x,y)$
both hold $\forall w,x,y,z\in\mathbb R,w\ne0$ .

2 replies

jasperE3

Mar 27, 2021

alexheinis

2 hours ago

Inequalities

sqing 21

Let $a,b,c\geq 0$ and $a+b+c=1$ . Prove that
$a^2+b^2+ ab +21abc\leq\frac{512}{441}$ Equality holds when $a=b=\frac{38}{21},c=\frac{5}{214}.$
$a^2+b^2+ ab +19abc\leq\frac{10648}{9747}$ Equality holds when $a=b=\frac{22}{57},c=\frac{13}{57}.$
$a^2+b^2+ ab +22abc\leq\frac{15625}{13068}$ Equality holds when $a=b=\frac{25}{66},c=\frac{8}{33}.$

21 replies

sqing

Mar 26, 2025

DAVROS

3 hours ago

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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34,582 topics

3 users

TOPICS

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First Poster

Last Poster

k a My Retirement & New Leadership at AoPS

rrusczyk 1571

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Mar 2, 2025

0 replies

Mop Qual stuff

HopefullyMcNats2025 37

How good of an award/ achievement is making MOP, I adore comp math but am scared if I dedicate all my time to it I won’t get in a good college such as MIT or Harvard

37 replies

HopefullyMcNats2025

Yesterday at 11:23 PM

YauYauFilter

4 hours ago

TeamsCode Spring 2025 Virtual Programming Contest

beibeizhu 0

Hello AoPS!
TeamsCode is proud to announce our Spring 2025 Virtual Programming Contest! It will take place on Saturday, April 5, from 11:00 AM to 5:30 PM Pacific Time through Youtube Livestream. We'll be featuring guest speaker Ion Barbus, an Analytics Manager in the Government and Public Services sector, from 4 to 5 PM.

Teams of up to 4 members will have 3 hours to solve programming problems. There will be two divisions: Novice and Advanced. Thousands of dollars worth of prizes will be distributed, through placement awards, raffle prizes, and more! Only pre-college participants are eligible for prizes.

To register for the contest, please visit: https://www.teamscode.org/contests/spring-2025. Join our Discord server here: https://discord.com/invite/Md36nAvMFM.

0 replies

beibeizhu

5 hours ago

0 replies

9 Which math contest is your favorite?

mdk2013 23

links for details on each comp

i think thats all the major ones, comment if you have any more that i forgot to include
also it would really make my day if you

EDIT: i forgot ARML and JBMO, comment if you like those

23 replies

mdk2013

Yesterday at 7:10 PM

N3bula

6 hours ago

ISI CMI 2025 MOCK

mqoi_KOLA 0

Source: ME

so i started making this mock on pi day(14th march) and completed it today(just now)
1)this is not a conventional mock like the isi UGA exam, this mock has 30 questions with 4 options for each question.
2)there is no time limit , i leave it to you in what amount of time u want to attempt this.
3)every question is worth 5 marks and marks will only be awarded if you have stated proper reasoning for your answer(to avoid tukkabazi).
most problem are subjective problem which I've transformed into objective, so they require rigorous proving that's why its named UGAB.
4)you may submit your response to me on my email- alokraj16013@gmail.com.(mention the time you took)
5) the answer key will be released on 14th April here,solution will only be provided by me iff noone is able to solve that problem.
6)you may discuss the problem solutions if you want to in ISI/CMI 2025 forum.
7)happy solving, u may cheat,noone cares.
one more thing its a fun mock like if you are not able to solve the problems, just chill.

0 replies

mqoi_KOLA

6 hours ago

0 replies

High School Olympiads Regional, national, and international math olympiads

Regional, national, and international math olympiads

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High School Olympiads Regional, national, and international math olympiads

Regional, national, and international math olympiads

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311,413 topics

22 users

TOPICS

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First Poster

Last Poster

k a My Retirement & New Leadership at AoPS

rrusczyk 1571

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Mar 2, 2025

0 replies

inequalities

Cobedangiu 2

problem

2 replies

1 viewing

Cobedangiu

6 hours ago

Cobedangiu

10 minutes ago

Easy algebra

Namisgood 1

Source: Indian mathematics olympiad Stage-I 2014(PRMO)

For a natural number b, let N(b) denote the number of natural numbers for which the equation x^2+ax+b has integer roots. What is the smallest value of b for which N(b)=20

1 reply

Namisgood

38 minutes ago

ND_

32 minutes ago

points on the same circle

rafaello 4

Source: Baltic Way 2021, Problem 9

We are given $2021$ points on a plane, no three of which are collinear. Among any $5$ of these points, at least $4$ lie on the same circle. Is it necessarily true that at least $2020$ of the points lie on the same circle?

4 replies

rafaello

Nov 15, 2021

Nari_Tom

33 minutes ago

Israel Number Theory

mathisreaI 62

Source: IMO 2022 Problem 5

Find all triples $(a,b,p)$ of positive integers with $p$ prime and $a^p=b!+p.$

62 replies

+1 w

mathisreaI

Jul 13, 2022

cursed_tangent1434

36 minutes ago

College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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114,022 topics

5 users

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First Poster

Last Poster

k a My Retirement & New Leadership at AoPS

rrusczyk 1571

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Mar 2, 2025

0 replies

invertible matrix

jokerjoestar 2

Let matrix $A \in M_n(R)$ such that: $A^{2025}=2025×A$ . Prove that $A-E$ is invertible

2 replies

jokerjoestar

Mar 27, 2025

SatisfiedMagma

an hour ago

Prove lim xf'(x) = 0

shangyang 4

Suppose that $f$ is twice continuously differentiable on $(0, +\infty)$ , and satisfies the conditions:
$\lim_{x \to +\infty} x f(x) = 0 \quad \text{and} \quad \lim_{x \to +\infty} x f''(x) = 0.$ Prove that:
$\lim_{x \to +\infty} x f'(x) = 0.$

4 replies

shangyang

4 hours ago

Alphaamss

2 hours ago

An exercise applying the Cayley-Hamilton theorem

Mathloops 1

Let $A = (a_{ij})$ be a nonzero square matrix of order $n$ satisfying
$a_{ik} a_{jk} = a_{kk} a_{ij}, \quad \text{for all } i, j, k.$ Denote by $\operatorname{tr}(A)$ the trace of $A$ , which is the sum of the diagonal elements of $A$ .

a) Prove that $\operatorname{tr}(A) \neq 0$ .

b) Compute the characteristic polynomial of $A$ in terms of $\operatorname{tr}(A)$ .

1 reply

Mathloops

Saturday at 4:43 PM

alexheinis

2 hours ago

Differentiable function

Sifan.C.Maths 0

Source: internet

Give a function
$f(x,y)=\begin{cases} \dfrac{x^3}{x^2+y^2}&\;\text{ if } (x,y)\not=(0,0),\\ 0&\;\text{ if } (x,y)=(0,0). \end{cases}$ Suppose that $\gamma$ is a differentiable map from $\mathbb{R}$ into $\mathbb{R}^2$ with $\gamma(0,0)=0$ and $||\gamma'(0)||>0$ . Let $g(t)=f(\gamma(t))$ , prove that $g$ is differentiable at every $t \in \mathbb{R}$ . If $\gamma(t)\in C^1$ , prove that $g\in C^1$ .
(Note: $f$ isn't differentiable at (0,0).$

0 replies

Sifan.C.Maths

3 hours ago

0 replies

Site Support Tech support and questions about AoPS classes and materials

Tech support and questions about AoPS classes and materials

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Site Support Tech support and questions about AoPS classes and materials

Tech support and questions about AoPS classes and materials

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18,568 topics

3 users

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First Poster

Last Poster

k a My Retirement & New Leadership at AoPS

rrusczyk 1571

1571 replies

rrusczyk

Mar 24, 2025

SmartGroot

Mar 26, 2025

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Mar 2, 2025

0 replies

LATEXpost

lightsynth123 1

Hi! I was wondering if there is a post count requirement for new users to post LaTeX. Thx!

1 reply

lightsynth123

5 hours ago

bpan2021

6 minutes ago

Introducing myself at AoPS, and what's your magic wand?

asuth_asuth 125

Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.

125 replies

asuth_asuth

Yesterday at 8:18 PM

DarintheBoy

6 minutes ago

[RESOLVED]Can't upvote fsr

stjwyl 3

Summary of the problem: I can upvote when in the forum but when looking at the thread through my feed I can't upvote posts (or do anything except quote)

Steps to reproduce:
1. go to like alcumus or something where you can see ur feed
2. click on a thread
3. no upvote button
...

Frequency: tried refreshing once, didnt work
Operating system(s): Windows
Browser(s), including version: Bing
Additional information: Will add screenshot in a sec

3 replies

stjwyl

Today at 1:33 AM

stjwyl

Today at 1:38 AM

Blog error (resolved)

Beaniebo4 10

I was making my blog and trying to add contributors, but after pressing the checkmark, the site kept on refreshing, deleting all my blog info and not adding contributors. This happened several times.

10 replies