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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

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0 replies

jlacosta

May 1, 2025

0 replies

Random game

Spacepandamath13 42

If the number is even divide by 2
if the number is odd add 2025
I'll start: 56
Everyone gets to post one time before the next person posts and then u can post again

42 replies

Spacepandamath13

5 hours ago

Yiyj

25 minutes ago

[PMO26 Qualis] I.3 Change every number

aops-g5-gethsemanea2 4

The arithmetic mean of $11$ integers is $10$ . After adding $20$ to each of the first four and subtracting $24$ from each of the last seven, what is the new mean?

$\text{(a) }2\qquad\text{(b) }3\qquad\text{(c) }4\qquad\text{(d) }6$

Answer confirmation

4 replies

aops-g5-gethsemanea2

Feb 9, 2025

Shinfu

4 hours ago

khan academy

Spacepandamath13 17

I haven't done khan academy in so long but today I had to learn law of sines. I wish khan academy taught competition math because their format, and self paced learning seems a bit better than aops' plus sal's videos for each topic are so good

17 replies

Spacepandamath13

May 18, 2025

KF329

4 hours ago

9 Favorite topic

A7456321 13

What is your favorite math topic/subject?

If you don't know why you are here, go binge watch something!

If you forgot why you are here, go to a hospital! :)

If you know why you are here and have voted, maybe say why you picked the option that you picked in a response) :thumbup:

Timeline

Oh yeah and you see that little thumb in the top right corner? The one that upvotes when you press it? Yeah. Press it. Thaaaaaaaanks! :D

13 replies

A7456321

Friday at 11:53 PM

A7456321

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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120,725 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

[Mathira 2018 T7-C2] Inverse of exponential spam

aops-g5-gethsemanea2 1

Find the inverse of the function $f(x)=\dfrac12\left(\dfrac{2^{-x}+2^x}{2^{-x}-2^x}+\dfrac{2^{-x}-2^x}{2^{-x}+2^x}\right)$ .

1 reply

aops-g5-gethsemanea2

31 minutes ago

aops-g5-gethsemanea2

30 minutes ago

Inequalities

toanrathay 1

Let $a,b,c$ be positive reals such that $1/a+1/b+1/c-9/4abc=3/4$ , find $\min$ of $P=a^2+b^2+c^2$ .

1 reply

toanrathay

44 minutes ago

sqing

39 minutes ago

[Sipnayan SHS] Written Round, Average, #4.6

LilKirb 5

Define the function
$f(n) = \sum_{k=0}^{n} \binom{n}{k} a_k, \quad n = 1, 2, 3, \ldots$ where
$a_k = \begin{cases} 3^k, & \text{if } k \text{ is even}, \\ 0, & \text{if } k \text{ is odd}. \end{cases}$ Find the remainder when $f(10^9 + 2)$ is divided by $2^{20} + 1$

5 replies

LilKirb

Yesterday at 2:25 PM

LilKirb

an hour ago

Minimize

lgx57 5

Minimize $\sqrt{\cos^2 x+(2-\sin x)^2}+\dfrac{1}{2}\sqrt{(\sqrt 3-\cos x)^2+(\sin x+1)^2}$

5 replies

lgx57

Friday at 1:29 PM

Kscv

an hour 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

[TEST RELEASED] OMMC Year 5

DottedCaculator 132

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]

132 replies

DottedCaculator

Apr 26, 2025

MathCosine

2 hours ago

Base 2n of n^k

KevinYang2.71 50

Source: USAMO 2025/1, USAJMO 2025/2

Let $k$ and $d$ be positive integers. Prove that there exists a positive integer $N$ such that for every odd integer $n>N$ , the digits in the base- $2n$ representation of $n^k$ are all greater than $d$ .

50 replies

KevinYang2.71

Mar 20, 2025

ray66

6 hours ago

[CASH PRIZES] IndyINTEGIRLS Spring Math Competition

Indy_Integirls 55

[center]IMAGE

Greetings, AoPS! IndyINTEGIRLS will be hosting a virtual math competition on May 25,
2024 from 12 PM to 3 PM EST. Join other woman-identifying and/or non-binary "STEMinists" in solving problems, socializing, playing games, winning prizes, and more! If you are interested in competing, please register here![/center]

----------

[center]Important Information[/center]

Eligibility: This competition is open to all woman-identifying and non-binary students in middle and high school. Non-Indiana residents and international students are welcome as well!

Format: There will be a middle school and high school division. In each separate division, there will be an individual round and a team round, where students are grouped into teams of 3-4 and collaboratively solve a set of difficult problems. There will also be a buzzer/countdown/Kahoot-style round, where students from both divisions are grouped together to compete in a MATHCOUNTS-style countdown round! There will be prizes for the top competitors in each division.

Problem Difficulty: Our amazing team of problem writers is working hard to ensure that there will be problems for problem-solvers of all levels! The middle school problems will range from MATHCOUNTS school round to AMC 10 level, while the high school problems will be for more advanced problem-solvers. The team round problems will cover various difficulty levels and are meant to be more difficult, while the countdown/buzzer/Kahoot round questions will be similar to MATHCOUNTS state to MATHCOUNTS Nationals countdown round in difficulty.

Platform: This contest will be held virtually through Zoom. All competitors are required to have their cameras turned on at all times unless they have a reason for otherwise. Proctors and volunteers will be monitoring students at all times to prevent cheating and to create a fair environment for all students.

Prizes: At this moment, prizes are TBD, and more information will be provided and attached to this post as the competition date approaches. Rest assured, IndyINTEGIRLS has historically given out very generous cash prizes, and we intend on maintaining this generosity into our Spring Competition.

Contact & Connect With Us: Email us at indy@integirls.org.

---------
[center]Help Us Out

Please help us in sharing the news of this competition! Our amazing team of officers has worked very hard to provide this educational opportunity to as many students as possible, and we would appreciate it if you could help us spread the word!

55 replies

Indy_Integirls

May 11, 2025

GallopingUnicorn45

6 hours ago

How Math WOOT Level 2 prepare you for olympiad contest

AMC10JA 0

I know how you do on Olympiad is based on your effort and your thinking skill, but I am just curious is WOOT level 2 is generally for practicing the beginner olympiad contest (like USAJMO or lower), or also good to learn for hard olympiad contest (like USAMO and IMO).
Please share your thought and experience. Thank you!

0 replies

AMC10JA

Yesterday at 11:35 PM

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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313,103 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

Balkan Mathematical Olympiad

ABCD1728 1

Can anyone provide the PDF version of the book "Balkan Mathematical Olympiads" by Mircea Becheanu and Bogdan Enescu (published by XYZ press in 2014), thanks!

1 reply

ABCD1728

Yesterday at 11:27 PM

ABCD1728

2 minutes ago

Nice "if and only if" function problem

ICE_CNME_4 13

Let $f : [0, \infty) \to [0, \infty)$ , $f(x) = \dfrac{ax + b}{cx + d}$ , with $a, d \in (0, \infty)$ , $b, c \in [0, \infty)$ . Prove that there exists $n \in \mathbb{N}^*$ such that for every $x \geq 0$
$f_n(x) = \frac{x}{1 + nx}, \quad \text{if and only if } f(x) = \frac{x}{1 + x}, \quad \forall x \geq 0.$ (For $n \in \mathbb{N}^*$ and $x \geq 0$ , the notation $f_n(x)$ represents $\underbrace{(f \circ f \circ \dots \circ f)}_{n \text{ times}}(x)$ . )

Please do it at 9th grade level. Thank you!

13 replies

ICE_CNME_4

Friday at 7:23 PM

shactal

12 minutes ago

Functional equation

shactal 0

Let $f:\mathbb R\to \mathbb R$ a function satifying $f(x+2xy) = f(x) + 2f(xy)$ for all $x,y\in \mathbb R$ .
If $f(1991)=a$ , then what is $f(1992)$ , the answer is in terms of $a$ .

0 replies

shactal

26 minutes ago

0 replies

2-var inequality

sqing 0

Source: Own

Let $a,b> 0 , ab(a+b+1) =3.$ Prove that $\frac{1}{a^2}+\frac{1}{b^2}+\frac{24}{(a+b)^2} \geq 8$ $\frac{a}{b^2}+\frac{b}{a^2}+\frac{49}{(a+ b)^2} \geq \frac{57}{4}$ Let $a,b> 0 , (a+b)(ab+1) =4.$ Prove that $\frac{1}{a^2}+\frac{1}{b^2}+\frac{40}{(a+b)^2} \geq 12$ $\frac{a}{b^2}+\frac{b}{a^2}+\frac{76}{(a+ b)^2} \geq 21$

0 replies

+1 w

sqing

27 minutes 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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114,314 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

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

zolfmark 4

A
matrix 2*2

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

i means identity matrix,

find constant m ، L

4 replies

zolfmark

Feb 23, 2019

RenheMiResembleRice

5 hours ago

Find solution of IVP

neerajbhauryal 3

Show that the initial value problem $y''+by'+cy=g(t)$ with $y(t_o)=0=y'(t_o)$ , where $b,c$ are constants has the form $y(t)=\int^{t}_{t_0}K(t-s)g(s)ds\,$

What I did

3 replies

neerajbhauryal

Sep 23, 2014

MathIQ.

Today at 12:47 AM

Integral

Martin.s 2

$\int_0^{\pi/6}\arcsin\Bigl(\sqrt{\cos(3\psi)\cos\psi}\Bigr)\,d\psi.$

2 replies

Martin.s

May 14, 2025

MathIQ.

Today at 12:41 AM

Different Paths Probability

Qebehsenuef 4

Source: OBM

A mouse initially occupies cage A and is trained to change cages by going through a tunnel whenever an alarm sounds. Each time the alarm sounds, the mouse chooses any of the tunnels adjacent to its cage with equal probability and without being affected by previous choices. What is the probability that after the alarm sounds 23 times the mouse occupies cage B?

4 replies

Qebehsenuef

Apr 28, 2025

Qebehsenuef

Yesterday at 11:24 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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18,675 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

Request for the access of private marathons

Vulch 1

To all AoPS users and admin,
Sometimes I came across the marathon(i .e number theory marathon, functional equation marathon etc) which allow access only after submitting log in request.There is no other way to access the question related to that marathons.It would be glad to open all private marathons publicly.Thank you!

1 reply

Vulch

an hour ago

Craftybutterfly

26 minutes ago

Who is Halp! ? (resolvedd)

A7456321 4

Is Halp! a bot? This user has been posting questions in nearly all of my AoPS classes when the user isn't a part of the class, and this user has 150k posts.

4 replies

A7456321

Yesterday at 9:22 PM

A7456321

4 hours ago

How to create a poll?

whwlqkd 23

How to create a poll in aops?

23 replies

whwlqkd

Yesterday at 12:24 PM

Craftybutterfly

5 hours ago

Stamina XP decreasing?

Craftybutterfly 18

Summary of the problem: Last night when I checked, alcumus said I had 4250 stamina XP which is more than other people. However, when I just checked, it said I only earned 3905 XP. What is wrong?
Page URL: Hall of Fame
Steps to reproduce:
1. Go to hall of fame
2. Scroll to stamina XP earned
Expected behavior: It should still say I earned 4250 XP
Frequency: 100%
Operating system(s): HP Elitebook
Browser(s), including version: Chrome
IMAGE

18 replies

Craftybutterfly

May 22, 2025

Craftybutterfly

5 hours ago

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