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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 May Highlights and 2025 AoPS Online Class Information

jlacosta 0

May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/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.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

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Introduction to Counting & Probability Self-Paced

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MATHCOUNTS/AMC 8 Advanced
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Thursday, May 22 - Jul 31

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Sunday, Jun 22 - Sep 21

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Visit the pages linked for full schedule details for each of these programs!

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Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)

0 replies

jlacosta

May 1, 2025

0 replies

Challenge: Make every number to 100 using 4 fours

CJB19 217

I've seen this attempted a lot but I want to see if the AoPS community can actually do it. Using ONLY 4 fours and math operations, make as many numbers as you can. Try to go in order. I'll start:
$(4-4)*4*4=0$ $4-4+4/4=1$ $4/4+4/4=2$ $(4+4+4)/4=3$ $4+(4-4)*4=4$ $4+4^{4-4}=5$ $4!/4+4-4=6$ $4+4-4/4=7$ $4+4+4-4=8$

217 replies

CJB19

May 15, 2025

Andrew2019

17 minutes ago

Vol 1 enough?

Spacepandamath13 10

is aops vol 1 book enough for amc10 or is vol 2 required to be studied too?

10 replies

Spacepandamath13

Today at 1:07 AM

GallopingUnicorn45

31 minutes ago

AP calc?

Thayaden 15

How are we all feeling on AP calc guys?

15 replies

Thayaden

Yesterday at 3:48 PM

maxamc

43 minutes ago

National Team Round Problem 10?!

Leeoz 12

This was the 2015 national team round problem 10...

[quote=The hardest problem in MathCounts]
In the city of Trichotomy, every day the weather is exactly one of the following:
sunny, cloudy or rainy. Each day has a 50% chance of having the same weather
as the day before and a 25% chance of having each of the other two types of
weather. If it does not rain on Friday, what is the probability that there will be
no rain during the weekend (Saturday and Sunday)? Express your answer as a
common fraction.
[/quote]

12 replies

Leeoz

May 4, 2025

pingpongmerrily

an hour 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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120,677 topics

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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

Symmetric System's Cyclic Sum

worthawholebean 6

If $a+1=b+2=c+3=d+4=a+b+c+d+5$ , then $a+b+c+d$ is

$\text{(A)}\ -5 \qquad \text{(B)}\ -10/3 \qquad \text{(C)}\ -7/3 \qquad \text{(D)}\ 5/3 \qquad \text{(E)}\ 5$

6 replies

+1 w

worthawholebean

Feb 11, 2008

kilobyte144

2 hours ago

Inequalities

sqing 5

Let $a,b,c>0.$ Prove that $a^2+b^2+c^2+abc-k(a+b+c)\geq 3k+2-2(k+1)\sqrt{k+1}$ Where $7\geq k \in N^+.$
$a^2+b^2+c^2+abc-3(a+b+c)\geq-5$

5 replies

sqing

Yesterday at 2:23 PM

sqing

3 hours ago

Find the value of k/m

zolfmark 4

If we have
K=1/1+1/3+1/4+......1/2019

m=2018+2017/2+2016/3+......2/2017+1/2018

4 replies

zolfmark

Mar 1, 2024

Shan3t

4 hours ago

Inequalities

sqing 1

Let $a,b,c\geq 0 ,a+b+c\leq 3.$ Prove that
$a^2+b^2+c^2+ab +2ca+2bc + abc \leq \frac{251}{27}$ $a^2+b^2+c^2+ab+2ca+2bc + \frac{2}{5}abc \leq \frac{4861}{540}$ $a^2+b^2+c^2+ab+2ca+2bc + \frac{7}{20}abc \leq \frac{2381411}{26460}$

1 reply

sqing

5 hours ago

sqing

4 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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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

You are invited to BROOM 2025!

puffypundo 35

You are invited to BROOM 2025!

BROOM (Building Resolve and Opportunity for Oncoming MOPpers) is a collaborative, highly intensive online math program modeled after MOP, open to students entering 9th grade and above. The program is designed by many past and current MOPpers to bring the MOP experience to everyone. It will take place from June 11th to July 2nd for 6 to 10 hours a day, with activities running in perfect parallel with MOP.

The program will include a structured schedule of student-led classes, mock tests, and community events to get to know your fellow sweepers. Just like MOP this year, there will be 3 practice tests, 2 ELMO-style tests, and 3 TSTST-style tests. Classes will range in difficulty, and more details regarding color groups and tests will be sent to students who register.

To achieve a more immersive experience, BROOM will be hosted on a Minecraft server where players can interact just like in real life, featuring classrooms for classes, lecture halls for tests, and dorms/dining halls for fun! Proximity chat will also be installed to imitate in-person conversation.

For over 150 hours of activities, the program is only $90, and financial aid is available. A copy of Minecraft will be included with your registration. Note that we do not run for profit - all funds are used for running the program itself.

Register for BROOM by June 1st! Extra details are available here. :D

Note

35 replies

puffypundo

May 18, 2025

Alex-131

29 minutes ago

OTIS or MathWOOT 2

math_on_top 15

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

15 replies

math_on_top

May 18, 2025

JeffreyTao

32 minutes ago

Weird FedEx Shipment?

Mathandski 34

I got an email about new FedEx shipment earlier today. I never ordered anything and was pretty confused but it caught my interest because it shipped out of Elgin, IL, which is only ~15 miles from the place where MOP is taking place and was shipped directly to my name and the email I signed up to AMCs with (which I don't use for much other things).

This is a very stupid question and it might be a coincidence but did any other AoPSers waiting on MOP email receive this ;-;

34 replies

Mathandski

Apr 18, 2025

Alex-131

32 minutes ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 99

Test portal: https://ommc-test-portal-2025.vercel.app/

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

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:

[list]
[*]Nontrivial Fellowship
[*]Citadel
[*]SPARC
[*]Jane Street
[*]And counting!
[/list]

99 replies

DottedCaculator

Apr 26, 2025

PikaPika999

6 hours ago

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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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

collinearity as a result of perpendicularity and equality

parmenides51 2

Source: Mexican Mathematical Olympiad 1996 OMM P6

In a triangle $ABC$ with $AB < BC < AC$ , points $A' ,B' ,C'$ are such that $AA' \perp BC$ and $AA' = BC, BB' \perp CA$ and $BB'=CA$ , and $CC' \perp AB$ and $CC'= AB$ , as shown on the picture. Suppose that $\angle AC'B$ is a right angle. Prove that the points $A',B' ,C'$ are collinear.

2 replies

parmenides51

Jul 28, 2018

FrancoGiosefAG

8 minutes ago

∑(a-b)(a-c)/(2a^2 + (b+c)^2) >= 0

Zhero 23

Source: ELMO Shortlist 2010, A2

Let $a,b,c$ be positive reals. Prove that
$\frac{(a-b)(a-c)}{2a^2 + (b+c)^2} + \frac{(b-c)(b-a)}{2b^2 + (c+a)^2} + \frac{(c-a)(c-b)}{2c^2 + (a+b)^2} \geq 0.$

Calvin Deng.

23 replies

Zhero

Jul 5, 2012

Rayvhs

9 minutes ago

An inequality

Rushil 13

Source: Indian RMO 1994 Problem 8

If $a,b,c$ are positive real numbers such that $a+b+c = 1$ , prove that $(1+a)(1+b)(1+c) \geq 8 (1-a)(1-b)(1-c) .$

13 replies

Rushil

Oct 25, 2005

JARP091

15 minutes ago

3 var inequality

JARP091 6

Source: Own

Let $x, y, z \in \mathbb{R}^+$ . Prove that
$\sum_{\text{cyc}} \frac{x^3}{y^2 + z^2} \geq \frac{x + y + z}{2}$ without using the Rearrangement Inequality or Chebyshev's Inequality.

6 replies

JARP091

Today at 8:54 AM

JARP091

23 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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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

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jlacosta

May 1, 2025

0 replies

a^2=3a+2imatrix 2*2

zolfmark 3

A
matrix 2*2

A^2=3A+2i
A^3=mA+Li

i means identity matrix,

find constant m ، L

3 replies

zolfmark

Feb 23, 2019

Mathzeus1024

4 hours ago

polynomial having a simple root

FFA21 1

Source: MSU algebra olympiad 2025 P4

$f(x)\in R[x]$ show that $f(x)+i$ has at least one root of multiplicity one

1 reply

FFA21

Yesterday at 12:22 AM

Doru2718

4 hours ago

non-solvable group has subgroup that is not isomorphic to any normal subgroup

FFA21 1

Source: MSU algebra olympiad 2025 P7

Show that in every finite non-solvable group there is a subgroup that is not isomorphic to any normal subgroup

1 reply

FFA21

Yesterday at 12:29 AM

Doru2718

4 hours ago

How can I know the sequences's convergence value?

Madunglecha 3

What is the convergence value of the sequence??
(n^2)*ln(n+1/n)-n

3 replies

Madunglecha

Today at 6:56 AM

Figaro

4 hours ago

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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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

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

asuth_asuth 1257

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.

1257 replies

asuth_asuth

Mar 30, 2025

thegreatbrain

4 hours ago

All Topics Marked

alpha31415 9

Excuse me!
for I am a frashman in aops.I wonder how I could get back to mark all my read.All topics in the forum became as if they had been marked.Would someone please help me deal with it???

9 replies

alpha31415

May 16, 2025

peppermint_cat

Yesterday at 11:23 PM

k alcumus going crazy?

LittleSnake____ 61

all of a sudden, the alcumus forum has gotten completely exploded by gamebot's posts.

https://artofproblemsolving.com/community/c63h3570498_alcumus_going_crazy

61 replies

LittleSnake____

May 18, 2025

jlacosta

May 19, 2025

k New user not allowed to use LaTeX

Cats_on_a_computer 8

Do I seriously have to post everyday for 14 days for me not to be considered a “new user? I didn’t even upload any images, I just used LaTeX. How am I supposed to write anything without LaTeX?

8 replies