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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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MATHCOUNTS/AMC 8 Basics
Friday, May 23 - Aug 15
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Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

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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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 181

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

181 replies

CJB19

May 15, 2025

vincentwant

4 minutes ago

9 How many squares do you have memorized

LXC007 44

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

44 replies

LXC007

Saturday at 3:44 PM

Aaronjudgeisgoat

26 minutes ago

Find digits

MihaiT 19

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

19 replies

MihaiT

Yesterday at 4:56 PM

Aaronjudgeisgoat

2 hours ago

annoying exponent simplification. pls help

Miranda2829 5

(3xy-3x-6)² ( 2x²-3y²-3)²
--------------------------------------
(3xy-3x-6)⁵ (-x³-6xy+4x) ⁵

It is upper one divide lower part.. sorry, i can't get the right form
tips ..... Thanks

5 replies

Miranda2829

Yesterday at 9:56 PM

giratina3

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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120,668 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

Vieta's Formula.

BlackOctopus23 6

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?

6 replies

BlackOctopus23

Yesterday at 11:10 PM

Shan3t

9 minutes ago

Number of elements in Set

girishpimoli 1

Let $A=\left\{1,2,3,4,5,6,7\right\}$ and $B=\left\{3,6,7,9\right\}.$ Then the number of elements in the set ${C⊆A:C∩B=ϕ}$ is

1 reply

girishpimoli

an hour ago

alexheinis

36 minutes ago

Three People Meet at the Same Time

LilKirb 0

Three people arrive at the same place independently, at a random between $8:00$ and $9:00.$ If each person remains there for $20$ minutes, calculate the probability where all three people end up meeting each other at the same time.

I'm already familiar with the variant where there are only two people, where you Click to reveal hidden text It was an AIME problem from the 90s I believe. However, I don't know how one could visualize this in a Click to reveal hidden text Help on what to do?

0 replies

LilKirb

an hour ago

0 replies

geometry

luckvoltia.112 1

ChGiven an acute triangle ABC inscribed in circle $(O)$ The altitudes $BE, CF$ , intersect
each other at $H$ . The tangents at $B$ and $C$ of $(O)$ intersect at $S$ . Let $M$ be the midpoint of $BC$ . $EM$ intersects $SC$
at $I$ , $FM$ intersects $SB$ at $J.$
a) Prove that the points $I, S, M, J$ lie on the same circle.
b) The circle with diameter $AH$ intersects the circle $(O)$ at the second point $T.$ The line $AH$ intersects
$(O)$ at the second point $K$ . Prove that $S,K,T$ are collinear.

1 reply

luckvoltia.112

Yesterday at 3:04 PM

MathsII-enjoy

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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34,717 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

What extracurriculars are you guys doing in high school?

nmlikesmath 4

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!!!!

4 replies

nmlikesmath

Today at 4:18 AM

tikachaudhuri

16 minutes ago

[CASH PRIZES] IndyINTEGIRLS Spring Math Competition

Indy_Integirls 24

[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: Follow us on Instagram @indy.integirls, join our Discord, follow us on TikTok @indy.integirls, and 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!

24 replies

Indy_Integirls

May 11, 2025

Inaaya

22 minutes ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 82

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]

82 replies

DottedCaculator

Apr 26, 2025

PikaPika999

an hour ago

Jane street swag package? USA(J)MO

arfekete 41

Hey! People are starting to get their swag packages from Jane Street for qualifying for USA(J)MO, and after some initial discussion on what we got, people are getting different things. Out of curiosity, I was wondering how they decide who gets what.
Please enter the following info:

- USAMO or USAJMO
- Grade
- Score
- Award/Medal/HM
- MOP (yes or no, if yes then color)
- List of items you got in your package

I will reply with my info as an example.

41 replies

arfekete

May 7, 2025

Alien_PI

Today at 7:31 AM

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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312,971 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

no of ways of selecting 8 integers a_i such that 1<a_1<=...<=a_8<=8

parmenides51 12

Source: Mexican Mathematical Olympiad 1988 OMM P4

In how many ways can one select eight integers $a_1,a_2, ... ,a_8$ , not necesarily distinct, such that $1 \le a_1 \le ... \le a_8 \le 8$ ?

12 replies

parmenides51

Jul 27, 2018

FrancoGiosefAG

4 minutes ago

Easy geometry problem

dwrty 0

Let ABCD be a square with center O. Triangles BJC and CKD are constructed outward from the square such that BJ = CJ = CK = DK. Let M be the midpoint of CJ. Prove that the lines OM and BK are perpendicular.

0 replies

dwrty

9 minutes ago

0 replies

Prove n is square-free given divisibility condition

CatalanThinker 3

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.

3 replies

CatalanThinker

Today at 3:05 AM

CHESSR1DER

27 minutes ago

China Northern MO 2009 p4 CNMO

parkjungmin 4

Source: China Northern MO 2009 p4 CNMO

China Northern MO 2009 p4 CNMO

The problem is too difficult.
Is there anyone who can help me?

4 replies

parkjungmin

Apr 30, 2025

exoticc

an hour 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

functional equation

pratyush 3

For the functional equation $f(x-y)=\frac{f(x)}{f(y)}$ , if f ' (0)=p and f ' (5)=q, then prove f ' (-5) = q

3 replies

pratyush

Apr 4, 2014

soryn

an hour ago

Convergence of complex sequence

Rohit-2006 3

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,
$z_1=z_2=\cdots=z_k=1$ .

3 replies

Rohit-2006

Saturday at 7:56 PM

solyaris

3 hours ago

Calculus

youochange 4

Find the area enclosed by the curves $e^x,e^{-x},x^2+y^2=1$

4 replies

youochange

May 10, 2025

Mathzeus1024

4 hours ago

D1035 : Super TVI 2

Dattier 1

Source: les dattes à Dattier

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

1 reply

Dattier

Yesterday at 10:54 PM

alexheinis

Today at 7:34 AM

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

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jlacosta

May 1, 2025

0 replies

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

asuth_asuth 1198

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.

1198 replies

asuth_asuth

Mar 30, 2025

Demetri

44 minutes ago

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