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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
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.

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[*]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]
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0 replies
jlacosta
May 1, 2025
0 replies
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Polynomial divisible by x^2+1
Miquel-point   2
N 6 minutes ago by lksb
Source: Romanian IMO TST 1981, P1 Day 1
Consider the polynomial $P(X)=X^{p-1}+X^{p-2}+\ldots+X+1$, where $p>2$ is a prime number. Show that if $n$ is an even number, then the polynomial \[-1+\prod_{k=0}^{n-1} P\left(X^{p^k}\right)\]is divisible by $X^2+1$.

Mircea Becheanu
2 replies
Miquel-point
Apr 6, 2025
lksb
6 minutes ago
J
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D1030 : An inequalitie
Dattier   1
N 16 minutes ago by lbh_qys
Source: les dattes à Dattier
Let $0<a<b<c<d$ reals, and $n \in \mathbb N^*$.

Is it true that $a^n(b-a)+b^n(c-b)+c^n(d-c) \leq \dfrac {d^{n+1}}{n+1}$ ?
1 reply
Dattier
Yesterday at 7:17 PM
lbh_qys
16 minutes ago
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IGO 2021 P1
SPHS1234   14
N an hour ago by LeYohan
Source: igo 2021 intermediate p1
Let $ABC$ be a triangle with $AB = AC$. Let $H$ be the orthocenter of $ABC$. Point
$E$ is the midpoint of $AC$ and point $D$ lies on the side $BC$ such that $3CD = BC$. Prove that
$BE \perp HD$.

Proposed by Tran Quang Hung - Vietnam
14 replies
SPHS1234
Dec 30, 2021
LeYohan
an hour ago
J
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Nationalist Combo
blacksheep2003   16
N 2 hours ago by Martin2001
Source: USEMO 2019 Problem 5
Let $\mathcal{P}$ be a regular polygon, and let $\mathcal{V}$ be its set of vertices. Each point in $\mathcal{V}$ is colored red, white, or blue. A subset of $\mathcal{V}$ is patriotic if it contains an equal number of points of each color, and a side of $\mathcal{P}$ is dazzling if its endpoints are of different colors.

Suppose that $\mathcal{V}$ is patriotic and the number of dazzling edges of $\mathcal{P}$ is even. Prove that there exists a line, not passing through any point in $\mathcal{V}$, dividing $\mathcal{V}$ into two nonempty patriotic subsets.

Ankan Bhattacharya
16 replies
blacksheep2003
May 24, 2020
Martin2001
2 hours ago
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No more topics!
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Regarding Maaths olympiad prepration
omega2007   13
N Apr 5, 2025 by omega2007
<Hey Everyone'>
I'm 10 grader student and Im starting prepration for maths olympiad..>>> From scratch (not 2+2=4 )

Do you haves compiled resources of Handouts,
PDF,
Links,
List of books topic wise
which are shared on AOPS (and from your perspective) for maths olympiad and any useful thing, which will help me in boosting Maths olympiad prepration.
13 replies
omega2007
Apr 4, 2025
omega2007
Apr 5, 2025
J
Regarding Maaths olympiad prepration
G H J
Reveal topic tags
L
G H BBookmark kLocked kLocked NReply
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omega2007
10 posts
omega2007
#1 h  Apr 4, 2025, 3:13 PM
Y by
<Hey Everyone'>
I'm 10 grader student and Im starting prepration for maths olympiad..>>> From scratch (not 2+2=4 )

Do you haves compiled resources of Handouts,
PDF,
Links,
List of books topic wise
which are shared on AOPS (and from your perspective) for maths olympiad and any useful thing, which will help me in boosting Maths olympiad prepration.
This post has been edited 1 time. Last edited by omega2007, Apr 5, 2025, 2:48 AM
Reason: Spelling error
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GreekIdiot
231 posts
GreekIdiot
#2 h  Apr 4, 2025, 3:46 PM • 1 Y
Y by omega2007
Sure... Try Chen's EGMO and Khurmi's MONT. Great books and very thorough, albeit extremely challenging at some points. Keep in mind to study in an organized manner, not learning random interesting theorems. Im at your age too and this is something I have personally struggled with, thats why I am mentioning it.
You can find them online easily in pdf format, but I suggest printing the books or buying them. Helps me study a lot more.
This post has been edited 1 time. Last edited by GreekIdiot, Apr 4, 2025, 3:47 PM
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omega2007
10 posts
omega2007
#3 h  Apr 5, 2025, 2:40 AM
Y by
Thanks for your support.
EGMO AND MONT I HAVE SOLVE ALREADY
In Aops things are not arranged //
So I need this things
But do you have compiled resources

Like >>>> List of books
List of handouts
Pdf
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MathleteMystic
7 posts
MathleteMystic
#4 h  Apr 5, 2025, 5:44 AM
Y by
omega2007 wrote:
Thanks for your support.
EGMO AND MONT I HAVE SOLVE ALREADY
In Aops things are not arranged //
So I need this things
But do you have compiled resources

Like >>>> List of books
List of handouts
Pdf

Didn't u say u r starting ur preparation from scratch..??..I don't think it can be called starting from scratch if u hv already solved those 2 books :|
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omega2007
10 posts
omega2007
#5 h  Apr 5, 2025, 5:53 AM
Y by
Yeah

Don't you have compiled resources
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Captainscrubz
67 posts
Captainscrubz
#6 h  Apr 5, 2025, 8:16 AM • 1 Y
Y by MrdiuryPeter
Visit evan chens website theres all material and resources you need
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mikkymini2
13 posts
mikkymini2
#7 h  Apr 5, 2025, 8:38 AM
Y by
Hi, this is a separate doubt.. But how did you guys start with EGMO? Like do I just pick up the book and start solving if my Geo basics are good or do I cover other supplement materials before I start with this? And lastly how do I proceed if I am stuck with a question (and preferably could you explain how you guys overcame that)...To my knowledge some hints and some solutions are provided, they often require so much effort to try on your own :wacko:
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omega2007
10 posts
omega2007
#8 h  Apr 5, 2025, 8:43 AM
Y by
It totally depends on your understanding
Like in case of geometry
Are your basic clear for example are you familiar
and can you proof theorems of class 8,9,10,11,12 maths ( geometry section) >>> if yes >> than you can proceed with EGMO> GRASP THEORY and solve problems.

Here are some resources for geometry
Geometry Resources
Euclidean Geometry in Mathematical Olympiads - Evan Chen - Both book - good book. By far the greatest geometry book to prepare for olympiads. if you had to choose one book, its definitely this one
Muricaa- It is book/handout discussing popular configs in geo mostly pointed out to be well-known by aops-ers. It has 100 problems at the end with roughly the difficulty increasing as you move forward. It can be found here
Handouts on Projective Geometry and Moving Points A really nice handout written by Rohan Goyal, starting from basics and going upto nukes like DIT and DDIT can be found here. Another nice handout on learning the method of moving points and it's application in problems can be found here
AOPS Geo Mocks: https://artofproblemsolving.com/community/c1668102_aops_geo_mocks
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omega2007
10 posts
omega2007
#9 h  Apr 5, 2025, 8:45 AM
Y by
mikkymini2 wrote:
Hi, this is a separate doubt.. But how did you guys start with EGMO? Like do I just pick up the book and start solving if my Geo basics are good or do I cover other supplement materials before I start with this? And lastly how do I proceed if I am stuck with a question (and preferably could you explain how you guys overcame that)...To my knowledge some hints and some solutions are provided, they often require so much effort to try on your own :wacko:

For questions solving I guess you can use AI like chat gpt and my favourite deepseek
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mikkymini2
13 posts
mikkymini2
#10 h  Apr 5, 2025, 8:56 AM • 1 Y
Y by omega2007
@omega, thx for the help, I will look into those books. Will try using AI in the future, I did not try it before thinking they would have been inaccurate for challenging math problems...
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omega2007
10 posts
omega2007
#11 h  Apr 5, 2025, 9:00 AM
Y by
Do you all compiled resources which are shared on Aops for maths olympiad
Like handouts , books like that
Because there are many .....
I want in one place compiled so that I can use

I hope someone will give me
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kjhgyuio
67 posts
kjhgyuio
#12 h  Apr 5, 2025, 9:09 AM
Y by
omega2007 wrote:
<Hey Everyone'>
I'm 10 grader student and Im starting prepration for maths olympiad..>>> From scratch (not 2+2=4 )

Do you haves compiled resources of Handouts,
PDF,
Links,
List of books topic wise
which are shared on AOPS (and from your perspective) for maths olympiad and any useful thing, which will help me in boosting Maths olympiad prepration.

i also want to ask the same but for 8th grade
This post has been edited 1 time. Last edited by kjhgyuio, Apr 5, 2025, 9:11 AM
Reason: nil
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mikkymini2
13 posts
mikkymini2
#13 h  Apr 5, 2025, 9:37 AM
Y by
I think you could try this...
https://artofproblemsolving.com/community/c13_contest_collections
It has complied questions for various Olympiads PYQs
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omega2007
10 posts
omega2007
#14 h  Apr 5, 2025, 9:48 AM
Y by
I don't need pyq
I need olympiad articles
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