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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

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
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Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Sunday, May 11 - Nov 9
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Friday, Jun 20 - Jan 9
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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
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Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
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USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
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Physics

Introduction to Physics
Wednesday, May 21 - Aug 6
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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 107

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

Edit: to clarify i mean positive squares from 1 so if you say ten you mean you memorized the squares 1,2,3,4,5,6,7,8,9 and 10

107 replies

LXC007

May 17, 2025

SapphireKitty

an hour ago

9 Mock AMC 8

Leeoz 2

This is just your average mock AMC 8 on AoPS... nothing sus at all...
Just PM me your answers if you actually want to try it and be on the leaderboard...

Leaderboard

This test is for entertainment purposes only...

Also if you all want, I can post the solutions in June.

2 replies

Leeoz

6 hours ago

Yihangzh

5 hours ago

Trivial Factoring MathCounts Question? 2025 MathCounts National Sprint Round #29

ilikemath247365 26

What is the value of the expression below?

$\frac{(1! + 2! + 3!)(2! + 3! + 4!)(3! + 4! + 5!)...(98! + 99! + 100!)}{(1! - 3(2!) + 3!)(2! - 3(3!) + 4!)(3! - 3(4!) + 5!)...(98! - 3(99!) + 100!)}$ .

26 replies

ilikemath247365

Yesterday at 1:16 AM

Schintalpati

Today at 4:26 AM

Overly wordy problems

ZMB038 4

Hey everyone, here we can post questions with way to many extraneous words, that are actually easy.
Try to solve the one above yours.
I'll start:
Click to reveal hidden text

4 replies

ZMB038

Yesterday at 11:14 PM

CJB19

Today at 3:31 AM

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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120,798 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

Functional Equations

burntpizza001 1

Let $f:R\rightarrow{}R$ is a function satisfying $f(2-x)=f(2+x)$ and $f(20-x)=f(x)$ , $\forall x\in R$ .

(i) If $f(0) = 5$ then minimum possible number of values of $x$ satisfying $f(x)=5$ , for $x\in[0,170]$ is?

(ii) Graph of $y=f(x)$ $ is symmetrical about which line?

1 reply

burntpizza001

May 25, 2025

alexheinis

5 minutes ago

Binomial Sum

P162008 1

If $f(x,n) = (x + n)^n - \binom{n}{1} (x + n - 1)^n + \binom{n}{2} (x + n - 2)^n - \cdots (-1)^n x^n$ then

A) $\sum_{r=1}^{4} f(4,r) = 33$

B) $\sum_{r=1}^{4} f(r,4) = 96$

C) $\sum_{r=1}^{5} f(5,r) = 129$

D) $\sum_{r=1}^{5} f(r,5) = 258$

1 reply

P162008

May 26, 2025

alexheinis

23 minutes ago

AP calc?

Thayaden 31

How are we all feeling on AP calc guys?

31 replies

Thayaden

May 20, 2025

Mathzeus1024

2 hours ago

Inequalities

sqing 3

Let $a,b,c,d>0,a^2 + d^2-ad = (b + c)^2$ aand $a^2 + b^2 = c^2 + d^2.$ Prove that $\frac{ab+cd}{ad+bc} \geq \frac{ 4}{5}$

3 replies

sqing

Yesterday at 2:47 AM

sqing

2 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

Close to JMO, but not close enough

isache 11

Im currently a freshman in hs, and i rlly wanna make jmo in sophmore yr. Ive been cooking at in-person competitions recently (ucsd hmc, scmc, smt, mathcounts) but I keep fumbling jmo. this yr i had a 133.5 on 10b and a 9 on aime. How do i get that up by 20 points to a 240?

11 replies

isache

Yesterday at 11:37 PM

LearnMath_105

4 hours ago

k Bring Back Downvotes

heheman 83

i would like to start a petition to bring back downvote, it you agree then write "bbd $\text{[math]}$ " in threads

83 replies

1 viewing

heheman

Yesterday at 7:21 PM

heheman

5 hours ago

[TEST RELEASED] OMMC Year 5

DottedCaculator 180

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]

180 replies

DottedCaculator

Apr 26, 2025

fuzimiao2013

6 hours ago

[$10K+ IN PRIZES] Poolesville Math Tournament (PVMT) 2025

qwerty123456asdfgzxcvb 19

Hi everyone!

After the resounding success of the first three years of PVMT, the Poolesville High School Math Team is excited to announce the fourth annual Poolesville High School Math Tournament (PVMT)! The PVMT team includes a MOPper and multiple USA(J)MO and AIME qualifiers!

PVMT is open to all 6th-9th graders in the country (including rising 10th graders). Students will compete in teams of up to 4 people, and each participant will take three subject tests as well as the team round. The contest is completely free, and will be held virtually on June 7, 2025, from 10:00 AM to 4:00 PM (EST).

Additionally, thanks to our sponsors, we will be awarding approximately $10K+ worth of prizes (including gift cards, Citadel merch, AoPS coupons, Wolfram licenses) to top teams and individuals. More details regarding the actual prizes will be released as we get closer to the competition date.

Further, newly for this year we might run some interesting mini-events, which we will announce closer to the competition date, such as potentially a puzzle hunt and integration bee!

If you would like to register for the competition, the registration form can be found at https://pvmt.org/register.html or https://tinyurl.com/PVMT25.

Additionally, more information about PVMT can be found at https://pvmt.org

If you have any questions not answered in the below FAQ, feel free to ask in this thread or email us at falconsdomath@gmail.com!

We look forward to your participation!

FAQ

19 replies

qwerty123456asdfgzxcvb

Apr 5, 2025

Ruegerbyrd

6 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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313,214 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

Iran 3rd Round Geo

M11100111001Y1R 12

Source: Iran 2024 3rd Round Test 1 P3

Consider an acute scalene triangle $\triangle{ABC}$ . The interior bisector of $A$ intersects $BC$ at $E$ and the minor arc of $\overarc {BC}$ in circumcircle of $\triangle{ABC}$ at $M$ . Suppose that $D$ is a point on the minor arc of $\overarc {BC}$ such that $ED=EM$ . $P$ is a point on the line segment of $AD$ such that $\angle ABP=\angle ACP \not= 0$ . $O$ is the circumcenter of $\triangle{ABC}$ . Prove that $OP \perp AM$ .

12 replies

+2 w

M11100111001Y1R

Aug 23, 2024

Mathgloggers

2 minutes ago

find question

mathematical-forest 0

Are there any contest questions that seem simple but are actually difficult? :-D

0 replies

mathematical-forest

9 minutes ago

0 replies

Inspired by qrxz17

sqing 2

Source: Own

Let $a, b,c>0 ,(a^2+b^2+c^2)^2 - 2(a^4+b^4+c^4) = 27$ . Prove that $a+b+c\geq 3\sqrt {3}$

2 replies

sqing

2 hours ago

MathsII-enjoy

33 minutes ago

D,E,F are collinear.

TUAN2k8 1

Source: Own

Help me with this:

1 reply

TUAN2k8

Yesterday at 1:07 AM

Beelzebub

35 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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114,341 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

Putnam 1981 A3

sqrtX 1

Source: Putnam 1981

Find
$\lim_{t\to \infty} e^{-t} \int_{0}^{t} \int_{0}^{t} \frac{e^x -e^y }{x-y} \,dx\,dy,$ or show that the limit does not exist.

1 reply

sqrtX

Mar 31, 2022

Mathzeus1024

9 minutes ago

Recurrence trouble

SomeonecoolLovesMaths 2

Let $0 < x_0 < y_0$ be real numbers. Define $x_{n+1} = \frac{x_n + y_n}{2}$ and $y_{n+1} = \sqrt{x_{n+1}y_n}$ .
Prove that $\lim_{n \to \infty} x_n = \lim_{n \to \infty} y_n$ and hence find the limit.

2 replies

SomeonecoolLovesMaths

Yesterday at 11:27 AM

SomeonecoolLovesMaths

2 hours ago

Trigo or Complex no.?

hzbrl 3

(a) Let $y=\cos \phi+\cos 2 \phi$ , where $\phi=\frac{2 \pi}{5}$ . Verify by direct substitution that $y$ satisfies the quadratic equation $2 y^2=3 y+2$ and deduce that the value of $y$ is $-\frac{1}{2}$ .
(b) Let $\theta=\frac{2 \pi}{17}$ . Show that $\sum_{k=0}^{16} \cos k \theta=0$
(c) If $z=\cos \theta+\cos 2 \theta+\cos 4 \theta+\cos 8 \theta$ , show that the value of $z$ is $-(1-\sqrt{17}) / 4$ .

I could solve (a) and (b). Can anyone help me with the 3rd part please?

3 replies

hzbrl

May 27, 2025

GreenKeeper

2 hours ago

3rd AKhIMO for university students, P3

UzbekMathematician 1

Source: AKhIMO 2025, P3

Two points are chosen randomly - independently with uniform probability - from a semicircular arc with radius 1. A third point is chosen randomly - independently with uniform probability - from the diameter that connects the endpoints of the arc. What is expected value of the area of the triangle with the three chosen points as its vertices?

1 reply

UzbekMathematician

Yesterday at 1:57 PM

pineconee

Today at 3:07 AM

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

18,681 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

k Weird FTW game??

TheCoinNinja 3

What is going on with this game??
As far as I can tell, this 10-problem, 45-second game has been sitting here with 1 of 1 players participating, and yet not started, for a long time. Also, I_am_a_penguin has a normal avatar, not the gray one.

Summary of the problem: This should not be possible. The game should have started when the user created it since it's just a one person game.
Page URL:aops.com/ftw/ftw
Expected behavior: The game should have either started or disappeared.
Frequency: 100%
Operating system(s): Windows 11
Browser(s), including version: Chrome and Firefox

3 replies

TheCoinNinja

Yesterday at 1:20 AM

jlacosta

Yesterday at 8:26 PM

k AoPS Report Bar

Svnshiin3-QTPI 5

Hello there!
This is my first AoPS class, and I was wondering why my report bar is orange.
I have completed all of the Challenge homework problems, as well as the writing problems.
Is this because the writing problems have not been graded yet?
If not, are there any other assignments I need to complete?
Thanks.

(edit: resolved)

5 replies

Svnshiin3-QTPI

Yesterday at 4:01 AM

jlacosta

Yesterday at 8:18 PM

Stamina XP decreasing?

Craftybutterfly 29

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

29 replies

Craftybutterfly

May 22, 2025

Craftybutterfly

Yesterday at 3:11 AM

Hide tag workaround

char0221 6

Summary of the problem: When quoting a tip tag, hovering over it causes a glitch where the tip tag's inner contents are "stuck" below the quotes.
Page URL: Any community message boards.
Steps to reproduce:
1. Create a message.
2. Insert a quote.
3. Inside the quote, put a tip tag.
4. Submit/preview, then hover over the tip tag.
Expected behavior: Tip tag does not stay when mouse is removed.
Frequency: 100%
Operating system(s): macOS Sequoia
Browser(s), including version: Safari 18.4
Additional information:
IMAGE
Also, make sure that the quote+tip is last.
[quote=char0221]
Try to close me!
[/quote]

6 replies