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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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0 replies

jlacosta

May 1, 2025

0 replies

9 zeroes!.

ericheathclifffry 22

i personally have no idea

22 replies

ericheathclifffry

May 5, 2025

Yihangzh

20 minutes ago

Find digits

MihaiT 9

Find digits $a,b,c$ s.t. $\frac{a}{a+b+c}=\overline{0,abc }$

9 replies

MihaiT

Yesterday at 4:56 PM

MihaiT

an hour ago

Challenge: Make every number to 100 using 4 fours

CJB19 174

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:
$(4-4)*4*4=0$ $4-4+4/4=1$ $4/4+4/4=2$ $(4+4+4)/4=3$ $4+(4-4)*4=4$ $4+4^{4-4}=5$ $4!/4+4-4=6$ $4+4-4/4=7$ $4+4+4-4=8$

174 replies

CJB19

May 15, 2025

awesomeming327.

2 hours ago

cant understand so dumb

greenplanet2050 8

am i stupid or smth

2001 AMC 10

Pat wants to buy four donuts from an ample supply of three types of donuts: glazed, chocolate, and powdered. How many different selections are possible?

umm why isnt it 3^4

8 replies

greenplanet2050

Yesterday at 6:02 PM

tikachaudhuri

3 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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120,659 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

Pertenacious Polynomial Problem

BadAtCompetitionMath21420 6

Let the polynomial $P(x) = x^3-x^2+px-q$ have real roots and real coefficients with $q>0$ . What is the maximum value of $p+q$ ?

This is a problem I made for my math competition, and I wanted to see if someone would double-check my work (No Mike allowed):

solution
Is this solution good?

6 replies

BadAtCompetitionMath21420

May 17, 2025

lbh_qys

39 minutes ago

Vieta's Formula.

BlackOctopus23 4

Can someone help me understand Vieta's Formula? I am currently learning it for my class. I learned that for a polynomial of degree $n$ , all the roots added will give $-\frac{a_{n-1}}{a_n}$ . I also learned that if every single root, multiplies every single root, it will give $\frac{a_{n-2}}{a_n}$ . I also learned that if all the roots are multiplied, it will give $-\frac{a_0}{a_n}$ . Is this right? And is there any purpose for these equations?

4 replies

BlackOctopus23

5 hours ago

compoly2010

an hour ago

The sum of 335 distinct positive integers

Streit31415 1

The sum of 335 distinct positive integers is equal to 100000
a) what is the minimum number of odd numbers among them ?
b) what is the maximum number of odd numbers among them ?

1 reply

Streit31415

5 hours ago

Bocabulary142857

4 hours ago

Diophantine Equation (cousin of Mordell)

urfinalopp 4

Find pairs of integers $(x;y)$ such that:

$x^2=y^5+32$

4 replies

urfinalopp

Yesterday at 6:38 PM

FoeverResentful

6 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

What extracurriculars are you guys doing in high school?

nmlikesmath 1

Im going to high school (9th gr) this August so i wanna know like which would be good for me and cuz i wanna go a stem path in college so pls respond thanks!!!!

1 reply

1 viewing

nmlikesmath

13 minutes ago

Tetra_scheme

7 minutes ago

OMMC TEAM

isache 3

Hi everyone, im looking for an OMMC team. I have currently solved problems 1-16 with the exception of 13. Also, I would prefer if your team currently has 2 or 3 members. My stats:

133.5 on 10B this year
9 on aime this year, 8 the previous
24 on AMC 8
Orange County (CA) Mathcounts Champion in 8th and runner up in 7th
USCMC 4th place written 2nd place countdown (lost to tiger zhang)
UCSD HMM 5th place
SMT 15th place algebra round
nita main
3x AIME qual
3x AMC 10hr

3 replies

isache

an hour ago

MathCosine

14 minutes ago

You are invited to BROOM 2025!

puffypundo 12

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

12 replies

puffypundo

Yesterday at 7:07 PM

jkim0656

25 minutes ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 78

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]

78 replies

DottedCaculator

Apr 26, 2025

isache

an hour 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

Symmetric inequality

mrrobotbcmc 0

Let a,b,c,d belong to positive real numbers such that a+b+c+d=1. Prove that a^3/(b+c)+b^3/(c+d)+c^3/(d+a)+d^3/(a+b)>=1/8

0 replies

mrrobotbcmc

3 minutes ago

0 replies

ISI UGB 2025 P4

SomeonecoolLovesMaths 9

Source: ISI UGB 2025 P4

Let $S^1 = \{ z \in \mathbb{C} \mid |z| =1 \}$ be the unit circle in the complex plane. Let $f \colon S^1 \longrightarrow S^2$ be the map given by $f(z) = z^2$ . We define $f^{(1)} \colon = f$ and $f^{(k+1)} \colon = f \circ f^{(k)}$ for $k \geq 1$ . The smallest positive integer $n$ such that $f^{(n)}(z) = z$ is called the period of $z$ . Determine the total number of points in $S^1$ of period $2025$ .
(Hint : $2025 = 3^4 \times 5^2$ )

9 replies

+1 w

SomeonecoolLovesMaths

May 11, 2025

nyacide

4 minutes ago

Self-evident inequality trick

Lukaluce 9

Source: 2025 Junior Macedonian Mathematical Olympiad P4

Let $x, y$ , and $z$ be positive real numbers, such that $x^2 + y^2 + z^2 = 3$ . Prove the inequality
$\frac{x^3}{2 + x} + \frac{y^3}{2 + y} + \frac{z^3}{2 + z} \ge 1.$ When does the equality hold?

9 replies

1 viewing

Lukaluce

Yesterday at 3:34 PM

sqing

16 minutes ago

Prove n is square-free given divisibility condition

CatalanThinker 1

Source: 1995 Indian Mathematical Olympiad

Let $n$ be a positive integer such that $n$ divides the sum
$1 + \sum_{i=1}^{n-1} i^{n-1}.$ Prove that $n$ is square-free.

1 reply

CatalanThinker

an hour ago

CatalanThinker

25 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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114,296 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

Convergence of complex sequence

Rohit-2006 1

Suppose $z_1, z_2,\cdots,z_k$ are complex numbers with absolute value $1$ . For $n=1,2,\cdots$ define $w_n=z_1^n+z_2^n+\cdots+z_k^n$ . Given that the sequence $(w_n)_{n\geq1}$ converges. Show that,
$z_1=z_2=\cdots=z_k=1$ .

1 reply

Rohit-2006

Saturday at 7:56 PM

ohiorizzler1434

2 hours ago

hard number theory problem

danilorj 3

Let $a$ and $b$ be positive integers. Prove that
$a^2 + \left\lceil \frac{4a^2}{b} \right\rceil$ is not a perfect square.

3 replies

danilorj

Yesterday at 10:51 AM

ohiorizzler1434

2 hours ago

D1035 : Super TVI 2

Dattier 0

Source: les dattes à Dattier

Let $f \in C([0,1])$ . Is it true that $\exists a \in \left[0;\dfrac 13\right] \cup \left[\dfrac 23; 1 \right] , |f(a)| \leq 4 |f(1-a)|$ ?

0 replies

Dattier

6 hours ago

0 replies

D1034 : Super TVI

Dattier 0

Source: les dattes à Dattier

Let $f \in C([0,1])$ . Is it true that $\exists a \in \left[0;\dfrac 12\right], |f(a)| \leq 8 |f(1-a)|$ ?

0 replies

Dattier

Yesterday at 10:21 PM

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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18,668 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

Time travel

centslordm 19

IMAGE

19 replies

centslordm

6 hours ago

Yihangzh

23 minutes ago

New user not allowed to use LaTeX

Cats_on_a_computer 7

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?

7 replies

Cats_on_a_computer

Yesterday at 11:43 AM

Cats_on_a_computer

27 minutes ago

Duplicate Gamebot

cz1917 3

The same problem of Alcumus is posted twice by Gamebot. They even have different links:
First Link
Second Link

3 replies

cz1917

3 hours ago

aiops

an hour ago

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

asuth_asuth 1196

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.

1196 replies