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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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Thursday, Jun 12 - Sep 11

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MATHCOUNTS/AMC 8 Basics
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MATHCOUNTS/AMC 8 Advanced
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AMC 10 Problem Series
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Thursday, May 22 - Jul 31

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Sunday, Jun 22 - Sep 21

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

0 replies

1 viewing

jlacosta

May 1, 2025

0 replies

INTERSTING

teomihai 30

Daca $1=3$
$2=3$

$3=4$
$4=5$
Gasiti $6=?$

30 replies

teomihai

Yesterday at 7:34 AM

Phat_23000245

3 hours ago

9 How many squares do you have memorized

LXC007 73

How many squares have you memorized. I have 1-20

73 replies

LXC007

May 17, 2025

Yiyj

3 hours ago

AP calc?

Thayaden 19

How are we all feeling on AP calc guys?

19 replies

Thayaden

Tuesday at 3:48 PM

Evanlovemath

3 hours ago

Challenge: Make every number to 100 using 4 fours

CJB19 221

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

221 replies

CJB19

May 15, 2025

Math-lover1

4 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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120,683 topics

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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

1 viewing

jlacosta

May 1, 2025

0 replies

Inequalities

sqing 2

Let $a,b,c> 0 , a^3+b^3+c^3+abc =4.$ Prove that
$(a+b)(c+1) \leq 4$ Let $a,b> 0 , a^3+b^3+ab =3.$ Prove that
$(a+b) (a+1) (b+1) \leq 8$

2 replies

sqing

2 hours ago

sqing

an hour ago

Inequalities

sqing 8

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

8 replies

sqing

Yesterday at 12:47 PM

sqing

an hour ago

why $sqrt{(x^2 -1)^{2}}$ should be equal to $1-x^2?$

Vulch 4

In this link, would anyone explain me why $\sqrt{(x^2 -1)^{2}}$ should be equal to $1-x^2?$

4 replies

Vulch

2 hours ago

Vulch

an hour ago

helpppppppp me

stupid_boiii 0

Given triangle ABC. The tangent at ? to the circumcircle(ABC) intersects line BC at point T. Points D,E satisfy AD=BD, AE=CE, and ∠CBD=∠BCE<90 ∘ . Prove that D,E,T are collinear.

0 replies

stupid_boiii

3 hours ago

0 replies

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

1 viewing

jlacosta

May 1, 2025

0 replies

another diophantine about primes

AwesomeYRY 132

Source: USAMO 2022/4, JMO 2022/5

Find all pairs of primes $(p, q)$ for which $p-q$ and $pq-q$ are both perfect squares.

132 replies

AwesomeYRY

Mar 24, 2022

cursed_tangent1434

4 hours ago

for the contest high achievers, can you share your math path?

HCM2001 20

Hi all
Just wondering if any orz or high scorers on contests at young age (which are a lot of u guys lol) can share what your math path has been like?
- school math: you probably finish calculus in 5th grade or something lol then what do you do for the rest of the school? concurrent enrollment? college class? none (focus on math competitions)?
- what grade did you get honor roll or higher on AMC 8, AMC 10, AIME qual, USAJMO qual, etc?
- besides aops do you use another program to study? (like Mr Math, Alphastar, etc)?

You're all great inspirations and i appreciate the answers.. you all give me a lot of motivation for this math journey. Thanks

20 replies

1 viewing

HCM2001

Yesterday at 7:50 PM

Yrock

4 hours ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 103

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/

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]

103 replies

DottedCaculator

Apr 26, 2025

vincentwant

4 hours ago

4th grader qual JMO

HCM2001 8

i mean.. whattttt??? just found out about this.. is he on aops? (i'm sure he is) where are you orz lol..
https://www.mathschool.com/blog/results/celebrating-success-douglas-zhang-is-rsm-s-youngest-usajmo-qualifier

8 replies

HCM2001

Today at 12:53 AM

Yrock

5 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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313,013 topics

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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

1 viewing

jlacosta

May 1, 2025

0 replies

Functional equation meets inequality condition

Lukaluce 1

Source: 2025 Macedonian Balkan Math Olympiad TST Problem 3

Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ that satisfy
$f(xf(y) + f(x)) = f(x)f(y) + 2f(x) + f(y) - 1,$ for every $x, y \in \mathbb{R}$ , and $f(kx) > kf(x)$ for every $x \in \mathbb{R}$ and $k \in \mathbb{R}$ , such that $k > 1$ .

1 reply

Lukaluce

Apr 14, 2025

sarjinius

16 minutes ago

Moving points in a plane

IAmTheHazard 2

Source: ELMO Shortlist 2024/C5

Let $\mathcal{S}$ be a set of $10$ points in a plane that lie within a disk of radius $1$ billion. Define a $move$ as picking a point $P \in \mathcal{S}$ and reflecting it across $\mathcal{S}$ 's centroid. Does there always exist a sequence of at most $1500$ moves after which all points of $\mathcal{S}$ are contained in a disk of radius $10$ ?

Advaith Avadhanam

2 replies

IAmTheHazard

Jun 22, 2024

shanelin-sigma

19 minutes ago

Interesting inequalities

sqing 2

Source: Own

Let $a,b,c\geq 0 ,a+b+c\leq 3.$ Prove that
$a^2+b^2+c^2+2ab+2bc + abc \leq \frac{244}{27}$ $a^2+b^2+c^2+\frac{1}{2}ab +2ca+2bc + abc \leq \frac{73}{8}$ $a^2+b^2+c^2+ab+2ca+2bc + \frac{1}{2}abc \leq \frac{487}{54}$ $a^2+b^2+c^2+a+b+ab+2ca+2bc+2abc\leq 12$

2 replies

sqing

Yesterday at 12:52 PM

sqing

an hour ago

thank you !

Nakumi 0

Given two non-constant polynomials $P(x),Q(x)$ such that for every real number $c$ , $P(c)$ is a perfect square if and only if $Q(c)$ is a perfect square. Prove that $P(x)Q(x)$ is the square of a polynomial with real coefficients.

0 replies

Nakumi

an hour ago

0 replies

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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114,311 topics

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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

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1 viewing

jlacosta

May 1, 2025

0 replies

Classifying Math with Symbols Based on Behavior

Midevilgmer 2

I have been working on a new math idea that prioritizes the behavior of numbers, equations, and expressions rather than their exact values. Numbers are described using symbols like P (Positive), N (Negative), Z (Zero), I (Imaginary), and D (Decimal). The goal is to create a system that uses symbols that allows you to perform operations like P*D and P+N and determine the behavioral outcomes based on the properties involved. For example, instead of identifying a number as 3, you would describe it as a positive, odd, whole, prime number, allowing you work with those traits individually or together. I would like to mention that I already have created an Addition, Subtraction, Multiplication, Division, Square Root, Exponent, and Factorial table that shows how these different behaviors work in basic operations. Finally, I want to mention that my current background includes a knowledge of geometry, algebra, and a very little amount of calculus. Any thoughts or ideas would be appreciated.

2 replies

Midevilgmer

Today at 12:55 AM

Midevilgmer

3 hours ago

36x⁴ + 12x² - 36x + 13 > 0

fxandi 3

Prove that for any real $x \geq 0$ holds inequality $36x^4 + 12x^2 - 36x + 13 > 0.$

3 replies

fxandi

May 5, 2025

fxandi

6 hours ago

Weird integral

Martin.s 2

$\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{1 - e^{-2} \cos\left(2\left(u + \tan u\right)\right)} {1 - 2e^{-2} \cos\left(2\left(u + \tan u\right)\right) + e^{-4}} \, \mathrm{d}u$

2 replies

Martin.s

Tuesday at 9:33 AM

ADus

Today at 12:43 AM

IMC 2018 P4

ThE-dArK-lOrD 18

Source: IMC 2018 P4

Find all differentiable functions $f:(0,\infty) \to \mathbb{R}$ such that
$f(b)-f(a)=(b-a)f’(\sqrt{ab}) \qquad \text{for all}\qquad a,b>0.$
Proposed by Orif Ibrogimov, National University of Uzbekistan

18 replies

ThE-dArK-lOrD

Jul 24, 2018

jonh_malkovich

Yesterday at 8:50 PM

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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18,667 topics

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k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

1 viewing

jlacosta

May 1, 2025

0 replies

Help Needed to Configure the Settings

Saucepan_man02 3

Hello..

Can anyone tell me, is it possible to make something like: configure my AoPS account's settings such that guest users (or non-friend users) can't look/track down my posts/activity ?
If it is possible, anyone kindly help me.
Thanks...

3 replies

Saucepan_man02

Today at 12:11 AM

bpan2021

5 hours ago

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

asuth_asuth 1252

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.

1252 replies

asuth_asuth

Mar 30, 2025

LogicalFalcon63

Today at 12:46 AM

k Writing Problem is Grey

Anzzz 2

In the writing problem in a Self - Paced class, I submitted it, and got graded. However, the writing problem icon remains grey, like it wasn't graded yet. I tried refreshing it multiple times, but it doesn't change. This doesn't really change anything, but I keep feeling like I haven't done it when I review my progress.

PS: This has not happened before.

2 replies

Anzzz

May 18, 2025

jlacosta

Yesterday at 8:32 PM

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