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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
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0 replies
jlacosta
Mar 2, 2025
0 replies
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k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
J
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k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
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How important is math "intuition"
Dream9   13
N 4 minutes ago by ohiorizzler1434
When I see problems now, they usually fall under 3 categories: easy, annoying, and cannot solve. Over time, more problems become easy, but I don't think I'm learning anything "new" so is higher level math like AMC 10 more about practice, so you know what to do when you see a problem? Of course, there's formulas for some problems but when reading a lot of solutions I didn't see many weird formulas being used and it was just the way to solve the problem was "odd".
13 replies
Dream9
Yesterday at 2:16 PM
ohiorizzler1434
4 minutes ago
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Factoring Marathon
pican   1429
N 36 minutes ago by Owen314159
Hello guys,
I think we should start a factoring marathon. Post your solutions like this SWhatever, and your problems like this PWhatever. Please make your own problems, and I'll start off simple: P1
1429 replies
pican
Aug 4, 2015
Owen314159
36 minutes ago
J
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Does Beast Academy Fully Cover Common Core?
markonthird   3
N an hour ago by Andyluo
I was thinking about switching my son to the Beast Academy books but there aren't many reviews of this book series and it is relatively new. Do you happen to know if there are any reviews of the Beast Academy books from highly reputable sources? I am going to use the Beast Academy books as a supplemental but I was thinking about using them as the primary math books.

About how well does Beast Academy cover common core? Does it cover it very thoroughly?

Background: My son is an advanced math learner. I want him to do AMC 8. I am teaching him with Into Math by HMH--he will be done with its 4th grade book at the end of this summer, I estimate. He is currently in 1st grade. At his school, he is in their 2nd/3rd grade math class. Into Math by HMH follows common core closely and he is doing well with it, so I'm hesitant to change. Into Math is also a well-reviewed book series.


3 replies
markonthird
an hour ago
Andyluo
an hour ago
J
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Number Theory
MuradSafarli   3
N 2 hours ago by MuradSafarli
find all natural numbers \( (a, b) \) such that the following equation holds:

\[ 7^a + 1 = 2b^2 \]
3 replies
MuradSafarli
3 hours ago
MuradSafarli
2 hours ago
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MATHCOUNTS on ESPN
rrusczyk   21
N 2 hours ago by MathRook7817
ESPN noon EST - the Countdown round of Nationals.

(Disclaimer: yours truly is an 'analyst' for the broadcast.)
21 replies
rrusczyk
May 27, 2003
MathRook7817
2 hours ago
J
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Abelkonkurransen 2025 2a
Lil_flip38   1
N 3 hours ago by RANDOM__USER
Source: Abelkonkurransen
A teacher asks each of eleven pupils to write a positive integer with at most four digits, each on a separate yellow sticky note. Show that if all the numbers are different, the teacher can always submit two or more of the eleven stickers so that the average of the numbers on the selected notes are not an integer.
1 reply
Lil_flip38
Today at 11:10 AM
RANDOM__USER
3 hours ago
J
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Abelkonkurransen 2025 2b
Lil_flip38   3
N 3 hours ago by alexanderhamilton124
Source: abelkonkurransen
Which positive integers $a$ have the property that \(n!-a\) is a perfect square for infinitely many positive integers \(n\)?
3 replies
Lil_flip38
Today at 11:12 AM
alexanderhamilton124
3 hours ago
J
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Oi! These lines concur
Rg230403   18
N 4 hours ago by HoRI_DA_GRe8
Source: LMAO 2021 P5, LMAOSL G3(simplified)
Let $I, O$ and $\Gamma$ respectively be the incentre, circumcentre and circumcircle of triangle $ABC$. Points $A_1, A_2$ are chosen on $\Gamma$, such that $AA_1 = AI = AA_2$, and point $A'$ is the foot of the altitude from $I$ to $A_1A_2$. If $B', C'$ are similarly defined, prove that lines $AA', BB'$ and $CC'$ concurr on $OI$.
Original Version from SL
Proposed by Mahavir Gandhi
18 replies
Rg230403
May 10, 2021
HoRI_DA_GRe8
4 hours ago
J
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Incircle
PDHT   0
4 hours ago
Source: Nguyen Minh Ha
Given a triangle \(ABC\) that is not isosceles at \(A\), let \((I)\) be its incircle, which is tangent to \(BC, CA, AB\) at \(D, E, F\), respectively. The lines \(DE\) and \(DF\) intersect the line passing through \(A\) and parallel to \(BC\) at \(M\) and \(N\), respectively. The lines passing through \(M, N\) and perpendicular to \(MN\) intersect \(IF\) and \(IE\) at \(Q\) and \(P\), respectively.

Prove that \(D, P, Q\) are collinear and that \(PF, QE, DI\) are concurrent.
0 replies
PDHT
4 hours ago
0 replies
J
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Surprisingly low answer to the question what is the maximum
mshtand1   2
N 4 hours ago by sarjinius
Source: Ukrainian Mathematical Olympiad 2025. Day 2, Problem 8.6, 10.5
Given $2025$ positive integer numbers such that the least common multiple (LCM) of all these numbers is not a perfect square. Mykhailo consecutively hides one of these numbers and writes down the LCM of the remaining $2024$ numbers that are not hidden. What is the maximum number of the $2025$ written numbers that can be perfect squares?

Proposed by Oleksii Masalitin
2 replies
mshtand1
Mar 13, 2025
sarjinius
4 hours ago
J
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Functional Equation
AnhQuang_67   5
N 5 hours ago by megarnie
Find all functions $f:\mathbb{R} \to \mathbb{R}$ satisfying: $$f(xf(y)+2y)=f(f(y))+f(xy)+xf(y), \forall x, y \in \mathbb{R}$$
5 replies
AnhQuang_67
Today at 3:57 PM
megarnie
5 hours ago
J
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hard ............ (2)
Noname23   1
N 5 hours ago by Amkan2022
problem
1 reply
Noname23
5 hours ago
Amkan2022
5 hours ago
J
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Fun issue about Euler’s function
luutrongphuc   2
N 5 hours ago by vi144
Let $p$ is a prime number and $n,\alpha$ are positive integers. Prove that there exist infinitely $a$ such that $\phi(a),\phi(a+1),…,\phi(a+n)$ are divisible by $p^{\alpha}$
2 replies
luutrongphuc
Today at 11:27 AM
vi144
5 hours ago
J
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Inequality with Mobius function and sum of divisors
Zhero   6
N 6 hours ago by allaith.sh
Source: ELMO Shortlist 2010, N1
For a positive integer $n$, let $\mu(n) = 0$ if $n$ is not squarefree and $(-1)^k$ if $n$ is a product of $k$ primes, and let $\sigma(n)$ be the sum of the divisors of $n$. Prove that for all $n$ we have
\[\left|\sum_{d|n}\frac{\mu(d)\sigma(d)}{d}\right| \geq \frac{1}{n}, \]
and determine when equality holds.

Wenyu Cao.
6 replies
Zhero
Jul 5, 2012
allaith.sh
6 hours ago
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J
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Amc10 prep question
Shadow6885   20
N Today at 1:57 PM by hashbrown2009
My question is how much of the geo and IA textbooks is relevant to AMC 10?
20 replies
Shadow6885
Mar 17, 2025
hashbrown2009
Today at 1:57 PM
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Amc10 prep question
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Reveal topic tags
AMC 10
AMC
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G H BBookmark kLocked kLocked NReply
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Shadow6885
2402 posts
Shadow6885
#1 h  Mar 17, 2025, 6:20 AM
Y by
My question is how much of the geo and IA textbooks is relevant to AMC 10?
Z K Y
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sadas123
1062 posts
sadas123
#2 h  Mar 17, 2025, 3:24 PM
Y by
Shadow6885 wrote:
My question is how much of the geo and IA textbooks is relevant to AMC 10?

Those are the book I already bought lol. Geo is perfect for AMC 10 and IA is also pretty good.
This post has been edited 1 time. Last edited by sadas123, Mar 17, 2025, 3:35 PM
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krish6_9
18 posts
krish6_9
#3 h  Mar 17, 2025, 3:32 PM
Y by
i finished these books at 2 months old (jk ofc, i am still working on chapter 4 of geo and just started int alg). however, i think most of the int alg is too hard for amc 8 but will probably be helpful for amc 10
This post has been edited 1 time. Last edited by krish6_9, Mar 17, 2025, 3:32 PM
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sadas123
1062 posts
sadas123
#4 h  Mar 17, 2025, 3:40 PM
Y by
I would say to skip Algebra and Number Theory and just straight dive into Geo and C and P, after that go to Inter Alg and Inter c and P then move onto to pre calc and if you want calc
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Shadow6885
2402 posts
Shadow6885
#5 h  Mar 17, 2025, 11:52 PM
Y by
Sorry I phrased the question wrong, up to what chapter is the content relevant
This post has been edited 1 time. Last edited by Shadow6885, Mar 17, 2025, 11:53 PM
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sadas123
1062 posts
sadas123
#6 h  Mar 17, 2025, 11:58 PM
Y by
Shadow6885 wrote:
Sorry I phrased the question wrong, up to what chapter is the content relevant

oh lol.... I think honestly just the whole book because each chapter matters except the boring introductions skip those :)
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Shadow6885
2402 posts
Shadow6885
#7 h  Mar 18, 2025, 12:00 AM
Y by
sadas123 wrote:
Shadow6885 wrote:
Sorry I phrased the question wrong, up to what chapter is the content relevant

oh lol.... I think honestly just the whole book because each chapter matters except the boring introductions skip those :)

Geo or IA?
Z K Y
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sadas123
1062 posts
sadas123
#8 h  Mar 18, 2025, 12:01 AM
Y by
Shadow6885 wrote:
sadas123 wrote:
Shadow6885 wrote:
Sorry I phrased the question wrong, up to what chapter is the content relevant

oh lol.... I think honestly just the whole book because each chapter matters except the boring introductions skip those :)

Geo or IA?

I am not sure
Z K Y
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Shadow6885
2402 posts
Shadow6885
#9 h  Mar 18, 2025, 12:04 AM
Y by
Srry lemme rephrase this: should I do all of geo, all of IA, or all of both (if I don’t do all of one book, what chapter should I go to?)
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EaZ_Shadow
1108 posts
EaZ_Shadow
#10 h  Mar 18, 2025, 12:05 AM
Y by
Shadow6885 wrote:
Srry lemme rephrase this: should I do all of geo, all of IA, or all of both (if I don’t do all of one book, what chapter should I go to?)

All of both
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Shadow6885
2402 posts
Shadow6885
#11 h  Mar 18, 2025, 12:06 AM
Y by
EaZ_Shadow wrote:
Shadow6885 wrote:
Srry lemme rephrase this: should I do all of geo, all of IA, or all of both (if I don’t do all of one book, what chapter should I go to?)

All of both

Ok thx
Edit: wait I’ve never seen complex numbers on amc 10, why would I do that
This post has been edited 1 time. Last edited by Shadow6885, Mar 18, 2025, 12:07 AM
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sadas123
1062 posts
sadas123
#12 h  Mar 18, 2025, 12:08 AM
Y by
Shadow6885 wrote:
EaZ_Shadow wrote:
Shadow6885 wrote:
Srry lemme rephrase this: should I do all of geo, all of IA, or all of both (if I don’t do all of one book, what chapter should I go to?)

All of both

Ok thx
Edit: wait I’ve never seen complex numbers on amc 10, why would I do that

I mean if you want to make AIME then I guess you have to study complex numbers because it is on there all the time for AIME but it might be on AMC 10 it depends I would recommend to do what you are weak at first then move up to the easier topics you know already.
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Shadow6885
2402 posts
Shadow6885
#13 h  Mar 18, 2025, 12:09 AM
Y by
@bove k that makes more sense
I wanna qual for AIME but 0% chance I jmo qual
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RandomMathGuy500
42 posts
RandomMathGuy500
#14 h  Mar 18, 2025, 12:09 AM
Y by
For AIME you should def know IA including complex numbers
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EaZ_Shadow
1108 posts
EaZ_Shadow
#15 h  Tuesday at 10:43 PM
Y by
Shadow6885 wrote:
EaZ_Shadow wrote:
Shadow6885 wrote:
Srry lemme rephrase this: should I do all of geo, all of IA, or all of both (if I don’t do all of one book, what chapter should I go to?)

All of both

Ok thx
Edit: wait I’ve never seen complex numbers on amc 10, why would I do that

Bc its on aime+ you use it (might) on amc 10 to make solving a problem easier
This post has been edited 1 time. Last edited by EaZ_Shadow, Tuesday at 10:44 PM
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Shadow6885
2402 posts
Shadow6885
#16 h  Tuesday at 11:52 PM
Y by
@bove k I see
I'm prob not going to try on AIME, I just started IA so I prob won't be ready by then
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iwastedmyusername
29 posts
iwastedmyusername
#17 h  Tuesday at 11:54 PM
Y by
why not
aime is in a year you have more than enough time to prepare
Z K Y
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Shadow6885
2402 posts
Shadow6885
#18 h  Tuesday at 11:58 PM
Y by
iwastedmyusername wrote:
why not
aime is in a year you have more than enough time to prepare

IA is fairly long, and I'll need to do most of precalc, Inter CP and probably Inter NT
I'll take it, but I won't worry about it much
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yegorovm
192 posts
yegorovm
#19 h  Yesterday at 12:02 AM
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Personally I recommend taking Inter CP and NT later. And no matter what it doesn't stop you form actually taking the competition.
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Shadow6885
2402 posts
Shadow6885
#20 h  Yesterday at 12:05 AM
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yegorovm wrote:
Personally I recommend taking Inter CP and NT later. And no matter what it doesn't stop you form actually taking the competition.

Ye I'll take it but not put 100% effort into it
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hashbrown2009
107 posts
hashbrown2009
#21 h  Today at 1:57 PM
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Introduction to Geometry is actually pretty hard, but it provides a solid fundamental in geometry up to AMC10-AMC12.
Introduction to Algebra is good also, can help you get to like 105-110 on AMC10 or 90-95 AMC12 but Intermediate Algebra is necessary to get higher like 125+.
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