AoPS Community

Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

VNew Topic kLocked

Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

VNew Topic kLocked

51,386 topics

8 users

TOPICS

Topic

First Poster

Last Poster

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

Prealgebra 1
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21

Introduction to Algebra A Self-Paced

Introduction to Algebra A
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Tuesday, Jun 10 - Aug 26

Calculus
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

AIME Problem Series A
Thursday, May 22 - Jul 31

AIME Problem Series B
Sunday, Jun 22 - Sep 21

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

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

MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

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

0 replies

jlacosta

May 1, 2025

0 replies

9 How many squares do you have memorized

LXC007 10

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

10 replies

LXC007

3 hours ago

elizhang101412

2 minutes ago

Challenge: Make every number to 100 using 4 fours

CJB19 120

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:
$(4-4)*4*4=0$ $4-4+4/4=1$ $4/4+4/4=2$ $(4+4+4)/4=3$ $4+(4-4)*4=4$ $4+4^(4-4)=5$ $4!/4+4-4=6$ $4+4-4/4=7$ $4+4+4-4=8$
I can't get the exponent in 5 to work if someone knows how to fix it please tell me

120 replies

CJB19

May 15, 2025

huajun78

25 minutes ago

Teammates

GallopingUnicorn45 0

Hi all,

I registered for this contest called IndyINTEGIRLS (for girls and non-binary only). I've included the link for more info. Anyone want to team with me? Teams are 3-4 people. Thanks!

https://artofproblemsolving.com/community/c5h3566087_cash_prizes_indyintegirls_spring_math_competition

0 replies

GallopingUnicorn45

an hour ago

0 replies

9 how much time

A7456321 2

idk if this is already a thing but im postin it again :p

2 replies

A7456321

2 hours ago

A7456321

an hour ago

High School Math Grades 9-12, Ages 13-18

Grades 9-12, Ages 13-18

VNew Topic kLocked

High School Math Grades 9-12, Ages 13-18

Grades 9-12, Ages 13-18

VNew Topic kLocked

120,652 topics

3 users

TOPICS

Topic

First Poster

Last Poster

k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

Challenge Problem: triangle inequality

Bottema 7

Prove that in any triangle we have:

a^{2}+b^{2}+c^{2} \geq 4sqrt{3}S

7 replies

Bottema

May 12, 2004

Speedysolver1

24 minutes ago

Pertenacious Polynomial Problem

BadAtCompetitionMath21420 3

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?

3 replies

BadAtCompetitionMath21420

Today at 3:13 AM

pieMax2713

24 minutes ago

2022 MARBLE - Mock ARML I -8 \frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=32

parmenides51 2

Let $a,b,c$ complex numbers with $ab+ +bc+ca = 61$ such that
$\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}= 5$ $\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=32.$ Find the value of $abc$ .

2 replies

parmenides51

Jan 14, 2024

Kempu33334

2 hours ago

Inequalities

sqing 13

Let $a,b,c>0 , a+b+c +abc=4$ . Prove that
$\frac {a}{a^2+2}+\frac {b}{b^2+2}+\frac {c}{c^2+2} \leq 1$ Let $a,b,c>0 , ab+bc+ca+abc=4$ . Prove that
$\frac {a}{a^2+2}+\frac {b}{b^2+2}+\frac {c}{c^2+2} \leq 1$

13 replies

1 viewing

sqing

May 15, 2025

sqing

3 hours ago

Contests & Programs AMC and other contests, summer programs, etc.

AMC and other contests, summer programs, etc.

VNew Topic kLocked

Contests & Programs AMC and other contests, summer programs, etc.

AMC and other contests, summer programs, etc.

VNew Topic kLocked

34,711 topics

13 users

TOPICS

Topic

First Poster

Last Poster

k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

Jane street swag package? USA(J)MO

arfekete 32

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.

32 replies

arfekete

May 7, 2025

sadas123

6 minutes ago

prime spam

fruitmonster97 36

Source: 2024 AMC 10A #3

What is the sum of the digits of the smallest prime that can be written as a sum of $5$ distinct primes?

$\textbf{(A) }5\qquad\textbf{(B) }7\qquad\textbf{(C) }9\qquad\textbf{(D) }10\qquad\textbf{(E) }11$

36 replies

1 viewing

fruitmonster97

Nov 7, 2024

ZMB038

4 hours ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 64

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]

64 replies

DottedCaculator

Apr 26, 2025

sagayao

4 hours ago

[CASH PRIZES] IndyINTEGIRLS Spring Math Competition

Indy_Integirls 13

[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!

13 replies

Indy_Integirls

May 11, 2025

ChaitraliKA

5 hours ago

High School Olympiads Regional, national, and international math olympiads

Regional, national, and international math olympiads

VNew Topic kLocked

High School Olympiads Regional, national, and international math olympiads

Regional, national, and international math olympiads

VNew Topic kLocked

312,923 topics

13 users

TOPICS

Topic

First Poster

Last Poster

k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

c^a + a = 2^b

Havu 5

Find $a, b, c\in\mathbb{Z}^+$ such that $a,b,c$ coprime, $a + b = 2c$ and $c^a + a = 2^b$ .

5 replies

1 viewing

Havu

May 10, 2025

OGMATH

27 minutes ago

3 var inequality

SunnyEvan 4

Let $a,b,c \in R$ ,such that $a^2+b^2+c^2=4(ab+bc+ca)$ Prove that : $\frac{53}{2}-9\sqrt{14} \leq \frac{8(a^3b+b^3c+c^3a)}{27(a^2+b^2+c^2)^2} \leq \frac{53}{2}+9\sqrt{14}$

4 replies

SunnyEvan

5 hours ago

JARP091

34 minutes ago

Integral ratio of divisors to divisors 1 mod 3 of 10n

cjquines0 19

Source: 2016 IMO Shortlist N2

Let $\tau(n)$ be the number of positive divisors of $n$ . Let $\tau_1(n)$ be the number of positive divisors of $n$ which have remainders $1$ when divided by $3$ . Find all positive integral values of the fraction $\frac{\tau(10n)}{\tau_1(10n)}$ .

19 replies

cjquines0

Jul 19, 2017

OGMATH

35 minutes ago

Combi that will make you question every choice in your life so far

blug 0

$A$ and $B$ are standing in front of the room in which there is $C$ . They know that there is a chessboard in the room and that on every square there is a coin. Every coin is black on one side and white on the other side and is flipped randomly. $A$ enters the room and then $C$ points at exactly one square on the chessboard. After that, $A$ must flip exactly one coin of his choice on the chessboard to the other side and leave. Finally, $B$ enters the room ( $A$ and $B$ haven't met again after $A$ entered the room) and he has to guess which square did $C$ point at.
What strategy do $A$ and $B$ have that will make this happen every time?

0 replies

blug

41 minutes ago

0 replies

College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

VNew Topic kLocked

College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

VNew Topic kLocked

114,288 topics

5 users

TOPICS

Topic

First Poster

Last Poster

k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

A challenging sum

Polymethical_ 2

I tried to integrate series of log(1-x) / x

2 replies

Polymethical_

Today at 4:09 AM

GreenKeeper

8 minutes ago

Analytic on C excluding countably many points

Omid Hatami 12

Source: IMS 2009

Let $A\subset \mathbb C$ be a closed and countable set. Prove that if the analytic function $f: \mathbb C\backslash A\longrightarrow \mathbb C$ is bounded, then $f$ is constant.

12 replies

Omid Hatami

May 20, 2009

alinazarboland

13 minutes ago

2022 Putnam A2

giginori 20

Let $n$ be an integer with $n\geq 2.$ Over all real polynomials $p(x)$ of degree $n,$ what is the largest possible number of negative coefficients of $p(x)^2?$

20 replies

1 viewing

giginori

Dec 4, 2022

dragoon

20 minutes ago

fibonacci number theory

FFA21 1

Source: OSSM Comp'25 P3 (HSE IMC qualification)

$F_n$ fibonacci numbers ( $F_1=1, F_2=1$ ) find all n such that:
$\forall i\in Z$ and $0\leq i\leq F_n$
$C^i_{F_n}\equiv (-1)^i\pmod{F_n+1}$

1 reply

FFA21

May 14, 2025

alexheinis

4 hours ago

Site Support Tech support and questions about AoPS classes and materials

Tech support and questions about AoPS classes and materials

VNew Topic kLocked

Site Support Tech support and questions about AoPS classes and materials

Tech support and questions about AoPS classes and materials

VNew Topic kLocked

18,659 topics

4 users

TOPICS

Topic

First Poster

Last Poster

k a May Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

May 1, 2025

0 replies

AoPS Volume 1+2

A7456321 2

I've recently been reading the AoPS Volume 1 and 2, and I can't seem to find the answers for any of the exercises. Is there a separate solutions manual I have to buy, or am I just blind and the answers are in the book? Thanks in advance!

EDIT: I couldn't find a forum to post this in so I just posted it in site support. Hope that's ok!

2 replies

A7456321

an hour ago

OGMATH

an hour ago

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

asuth_asuth 1176

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.

1176 replies

asuth_asuth

Mar 30, 2025

MathNinja9

2 hours ago

All Topics Marked

alpha31415 1

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???

1 reply