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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
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
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
Problem about Euler's function
luutrongphuc   1
N 13 minutes ago by ishan.panpaliya
Prove that for every integer $n \ge 5$, we have:
$$ 2^{n^2+3n-13} \mid \phi \left(2^{2^{n}}-1 \right)$$
1 reply
luutrongphuc
2 hours ago
ishan.panpaliya
13 minutes ago
Problem 5
blug   1
N 34 minutes ago by WallyWalrus
Source: Polish Junior Math Olympiad Finals 2025
Each square on a 5×5 board contains an arrow pointing up, down, left, or right. Show that it is possible to remove exactly 20 arrows from this board so that no two of the remaining five arrows point to the same square.
1 reply
blug
Mar 15, 2025
WallyWalrus
34 minutes ago
Cool Number Theory
Fermat_Fanatic108   6
N an hour ago by epl1
For an integer with 5 digits $n=abcde$ (where $a, b, c, d, e$ are the digits and $a\neq 0$) we define the \textit{permutation sum} as the value $$bcdea+cdeab+deabc+eabcd$$For example the permutation sum of 20253 is $$02532+25320+53202+32025=113079$$Let $m$ and $n$ be two fivedigit integers with the same permutation sum.
Prove that $m=n$.
6 replies
Fermat_Fanatic108
5 hours ago
epl1
an hour ago
Incenter geometry with parallel lines
nAalniaOMliO   1
N an hour ago by LenaEnjoyer
Source: Belarusian MO 2023
Let $\omega$ be the incircle of triangle $ABC$. Line $l_b$ is parallel to side $AC$ and tangent to $\omega$. Line $l_c$ is parallel to side $BC$ and tangent to $\omega$. It turned out that the intersection point of $l_b$ and $l_c$ lies on circumcircle of $ABC$
Find all possible values of $\frac{AB+AC}{BC}$
1 reply
nAalniaOMliO
Apr 16, 2024
LenaEnjoyer
an hour ago
Angle problem
FlyingDragon21   14
N 2 hours ago by fruitmonster97
In Isosceles triangle ABC where AB equals AC and point D lies on line AB, line CD splits line AB so that AD equals BC. If angle BAC is 20 degrees, what is the measure of angle DCA?
14 replies
1 viewing
FlyingDragon21
Yesterday at 11:36 PM
fruitmonster97
2 hours ago
AMC 8 Help
krish6_9   22
N 2 hours ago by SpeedCuber7
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better
22 replies
krish6_9
Mar 17, 2025
SpeedCuber7
2 hours ago
Problem for VASC, SI Book
hungkhtn   21
N 2 hours ago by imnotgoodatmathsorry
Source: please let him prove it first
Let $a,b,c$ be non-negative real numbers such that $a+b+c=3$. Prove that
\[a\sqrt{1+b^{3}}+b\sqrt{1+c^{3}}+c\sqrt{1+a^{3}}\le 5.\]
21 replies
hungkhtn
Jun 5, 2007
imnotgoodatmathsorry
2 hours ago
How to convert base numbers directly without using base 10
DSL13   9
N 2 hours ago by gauss202
I don't understand the topic of how you convert bases directly without going from base 10 to the base that I desire. How do I get from one base to another without the use of base 10?

I watched videos on it but I don't really get the idea.
9 replies
DSL13
Mar 11, 2021
gauss202
2 hours ago
IMO Shortlist 2009 - Problem N4
April   12
N 2 hours ago by asdf334
Find all positive integers $n$ such that there exists a sequence of positive integers $a_1$, $a_2$,$\ldots$, $a_n$ satisfying: \[a_{k+1}=\frac{a_k^2+1}{a_{k-1}+1}-1\] for every $k$ with $2\leq k\leq n-1$.

Proposed by North Korea
12 replies
April
Jul 5, 2010
asdf334
2 hours ago
3D Geometry Problem
ReticulatedPython   17
N 2 hours ago by ReticulatedPython
A sphere with radius $1$ is centered at the apex of a right square pyramid with base length $2$ and height $1.$ The volume of the space where the sphere overlaps with the pyramid can be expressed in the form $k\pi.$ Find $k.$

Hint

Formulas
17 replies
ReticulatedPython
Yesterday at 4:05 PM
ReticulatedPython
2 hours ago
China Team Selection Test 2015 TST 1 Day 2 Q1
sqing   6
N 2 hours ago by sttsmet
Source: China Hangzhou
Prove that : For each integer $n \ge 3$, there exists the positive integers $a_1<a_2< \cdots <a_n$ , such that for $ i=1,2,\cdots,n-2 $ , With $a_{i},a_{i+1},a_{i+2}$ may be formed as a triangle side length , and the area of the triangle is a positive integer.
6 replies
sqing
Mar 14, 2015
sttsmet
2 hours ago
China Mathematical Olympiad 1993 problem5
jred   3
N 2 hours ago by iStud
Source: China Mathematical Olympiad 1993 problem5
$10$ students bought some books in a bookstore. It is known that every student bought exactly three kinds of books, and any two of them shared at least one kind of book. Determine, with proof, how many students bought the most popular book at least? (Note: the most popular book means most students bought this kind of book)
3 replies
jred
Sep 23, 2013
iStud
2 hours ago
x and o game, in an infinite grid of regular triangles
parmenides51   5
N 3 hours ago by Lil_flip38
Source: Norwegian Mathematical Olympiad 2017 - Abel Competition p3b
In an infinite grid of regular triangles, Niels and Henrik are playing a game they made up.
Every other time, Niels picks a triangle and writes $\times$ in it, and every other time, Henrik picks a triangle where he writes a $o$. If one of the players gets four in a row in some direction (see figure), he wins the game.
Determine whether one of the players can force a victory.
IMAGE
5 replies
parmenides51
Sep 3, 2019
Lil_flip38
3 hours ago
BMN is equilateral iff rectangle ABCD is square
parmenides51   4
N 3 hours ago by Tsikaloudakis
Source: 2004 Romania NMO SL - Shortlist VII-VIII p8 https://artofproblemsolving.com/community/c3950157_
Consider a point $M$ on the diagonal $BD$ of a given rectangle $ABCD$, such that $\angle AMC = \angle  CMD$. The point $N$ is the intersection point between $AM$ and the parallel line to $CM$ that contains $B$. Prove that the triangle $BMN$ is equilateral if and only if $ABCD$ is a square.

Valentin Vornicu
4 replies
parmenides51
Sep 16, 2024
Tsikaloudakis
3 hours ago
Amc10 prep question
Shadow6885   19
N Today at 12:05 AM by Shadow6885
My question is how much of the geo and IA textbooks is relevant to AMC 10?
19 replies
Shadow6885
Mar 17, 2025
Shadow6885
Today at 12:05 AM
Amc10 prep question
G H J
G H BBookmark kLocked kLocked NReply
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Shadow6885
2398 posts
#1
Y by
My question is how much of the geo and IA textbooks is relevant to AMC 10?
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sadas123
1057 posts
#2
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
#3
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
1057 posts
#4
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
2398 posts
#5
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, Monday at 11:53 PM
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sadas123
1057 posts
#6
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 :)
Z K Y
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Shadow6885
2398 posts
#7
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
1057 posts
#8
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
2398 posts
#9
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?)
Z K Y
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EaZ_Shadow
1106 posts
#10
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
Z K Y
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Shadow6885
2398 posts
#11
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, Yesterday at 12:07 AM
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sadas123
1057 posts
#12
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
2398 posts
#13
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
#14
Y by
For AIME you should def know IA including complex numbers
Z K Y
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EaZ_Shadow
1106 posts
#15
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, Yesterday at 10:44 PM
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Shadow6885
2398 posts
#16
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
28 posts
#17
Y by
why not
aime is in a year you have more than enough time to prepare
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Shadow6885
2398 posts
#18
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
191 posts
#19
Y by
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
2398 posts
#20
Y by
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
Z K Y
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