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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.

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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!
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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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9 What motivates you
AndrewZhong2012   61
N an hour ago by akliu
What got you guys into math? I'm asking because I got ~71 on the AMC 12B and 94.5 on 10A last year. This year, my dad expects me to get a 130 on 12B and 10 on AIME, but I have sort of lost motivation, and I know these goals will be impossible to achieve without said motivation.
61 replies
+1 w
AndrewZhong2012
Feb 22, 2025
akliu
an hour ago
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hcssim application question
enya_yurself   4
N an hour ago by akliu
do they send the Interesting Test to everyone who applied or do they read the friendly letter first and only send to the kids they like?
4 replies
enya_yurself
Monday at 11:13 PM
akliu
an hour ago
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Good luck on olympiads tomorrow!
observer04   6
N an hour ago by mrtheory
Hello mortals!

For those of you that qualified for the USAMO / USAJMO, I have a message for you! Remember to have fun! And enjoy the experience! Personally, I did not qualify for the USAMO / USAJMO! But I am still eager to try the high quality thought-provoking problems! As I once said... it's not all about the score!

Furthermore, for those like myself who failed along the way, it's A-OK! Don't worry, fellows! Remember to smile and enjoy your lives! There is more than math out there!


Warmest Regards
6 replies
observer04
Today at 1:27 AM
mrtheory
an hour ago
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min A=x+1/x+y+1/y if 2(x+y)=1+xy for x,y>0 , 2020 ISL A3 for juniors
parmenides51   12
N 2 hours ago by mathmax001
Source: 2021 Greece JMO p1 (serves also as JBMO TST) / based on 2020 IMO ISL A3
If positive reals $x,y$ are such that $2(x+y)=1+xy$, find the minimum value of expression $$A=x+\frac{1}{x}+y+\frac{1}{y}$$
12 replies
1 viewing
parmenides51
Jul 21, 2021
mathmax001
2 hours ago
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3a^2b+16ab^2 is perfect square for primes a,b >0
parmenides51   5
N 2 hours ago by ali123456
Source: 2020 Greek JBMO TST p3
Find all pairs $(a,b)$ of prime positive integers $a,b$ such that number $A=3a^2b+16ab^2$ equals to a square of an integer.
5 replies
parmenides51
Nov 14, 2020
ali123456
2 hours ago
J
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minimum value of S, ISI 2013
Sayan   13
N 2 hours ago by Apple_maths60
Let $a,b,c$ be real number greater than $1$. Let
\[S=\log_a {bc}+\log_b {ca}+\log_c {ab}\]
Find the minimum possible value of $S$.
13 replies
Sayan
May 12, 2013
Apple_maths60
2 hours ago
J
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classical R+ FE
jasperE3   2
N 3 hours ago by jasperE3
Source: kent2207, based on 2019 Slovenia TST
wanted to post this problem in its own thread: https://artofproblemsolving.com/community/c6h1784825p34307772
Find all functions $f:\mathbb R^+\to\mathbb R^+$ for which:
$$f(f(x)+f(y))=yf(1+yf(x))$$for all $x,y\in\mathbb R^+$.
2 replies
jasperE3
Yesterday at 3:55 PM
jasperE3
3 hours ago
J
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Trapezoid ABCD
tenniskidperson3   52
N 3 hours ago by MathRook7817
Source: 2009 USAMO problem 5
Trapezoid $ ABCD$, with $ \overline{AB}||\overline{CD}$, is inscribed in circle $ \omega$ and point $ G$ lies inside triangle $ BCD$. Rays $ AG$ and $ BG$ meet $ \omega$ again at points $ P$ and $ Q$, respectively. Let the line through $ G$ parallel to $ \overline{AB}$ intersects $ \overline{BD}$ and $ \overline{BC}$ at points $ R$ and $ S$, respectively. Prove that quadrilateral $ PQRS$ is cyclic if and only if $ \overline{BG}$ bisects $ \angle CBD$.
52 replies
tenniskidperson3
Apr 30, 2009
MathRook7817
3 hours ago
J
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Geometry
srnjbr   0
3 hours ago
in triangle abc, we know that bac=60. the circumcircle of the center i is tangent to the sides ab and ac at points e and f respectively. the midpoint of side bc is called m. if lines bi and ci intersect line ef at points p and q respectively, show that pmq is equilateral.
0 replies
srnjbr
3 hours ago
0 replies
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JBMO Shortlist 2021 N1
Lukaluce   14
N 3 hours ago by ali123456
Source: JBMO Shortlist 2021
Find all positive integers $a, b, c$ such that $ab + 1$, $bc + 1$, and $ca + 1$ are all equal to
factorials of some positive integers.

Proposed by Nikola Velov, Macedonia
14 replies
Lukaluce
Jul 2, 2022
ali123456
3 hours ago
J
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Very easy inequality
pggp   2
N 3 hours ago by ali123456
Source: Polish Junior MO Second Round 2019
Let $x$, $y$ be real numbers, such that $x^2 + x \leq y$. Prove that $y^2 + y \geq x$.
2 replies
pggp
Oct 26, 2020
ali123456
3 hours ago
J
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Problem 5
blug   1
N 3 hours 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
3 hours ago
J
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Cool Number Theory
Fermat_Fanatic108   6
N 3 hours 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
Today at 1:41 PM
epl1
3 hours ago
J
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Incenter geometry with parallel lines
nAalniaOMliO   1
N 4 hours 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
4 hours ago
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AMC 8 discussion
Jaxman8   45
N Mar 17, 2025 by Jello0211
Discuss the AMC 8 below!
45 replies
Jaxman8
Jan 29, 2025
Jello0211
Mar 17, 2025
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AMC 8 discussion
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Reveal topic tags
AMC 8
2025 AMC 8
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Jaxman8
95 posts
Jaxman8
#1 h  Jan 29, 2025, 11:53 PM
Y by
Discuss the AMC 8 below!
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Jaxman8
95 posts
Jaxman8
#2 h  Jan 29, 2025, 11:54 PM
Y by
I predict a 24/25, I sillies p22 I think
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Jaxman8
95 posts
Jaxman8
#3 h  Jan 29, 2025, 11:54 PM
Y by
https://www.youtube.com/@drjohnchungmath Channel that has the solutions, posted 4 days ago tho…
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MathRook7817
611 posts
MathRook7817
#4 h  Jan 29, 2025, 11:55 PM
Y by
I couldn't take it lol
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BS2012
891 posts
BS2012
#5 h  Jan 29, 2025, 11:57 PM
Y by
Jaxman8 wrote:
https://www.youtube.com/@drjohnchungmath Channel that has the solutions, posted 4 days ago tho…

oop so probably ~200 cheaters
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Jaxman8
95 posts
Jaxman8
#6 h  Jan 29, 2025, 11:58 PM
Y by
Yeah… How did this go unnoticed
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Schintalpati
576 posts
Schintalpati
#8 h  Jan 30, 2025, 12:00 AM
Y by
he may have created the video 4 days ago and made it public today
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Jaxman8
95 posts
Jaxman8
#9 h  Jan 30, 2025, 12:00 AM • 2 Y
Y by Pengu14, FunnyKoala17
I thought this was a relatively easy test, anyone else agree?
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juicetin.kim
2480 posts
juicetin.kim
#10 h  Jan 30, 2025, 12:05 AM
Y by
anyone else in the sillied p3 club
This post has been edited 1 time. Last edited by juicetin.kim, Jan 30, 2025, 12:12 AM
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Pengu14
407 posts
Pengu14
#12 h  Jan 30, 2025, 12:09 AM
Y by
SirAppel wrote:
at long last, 25 on amc8 :love:

OK BUT WHO THE HELL MADE THIS GOOFY TEST WHY IS IT SO MUCH EASIER

Hopefully the AIME is also easy :pray:
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Jaxman8
95 posts
Jaxman8
#13 h  Jan 30, 2025, 12:16 AM
Y by
I predict HR: 19, DHR: 23
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Schintalpati
576 posts
Schintalpati
#14 h  Jan 30, 2025, 12:24 AM
Y by
SirAppel wrote:
at long last, 25 on amc8 :love:

OK BUT WHO THE HELL MADE THIS GOOFY TEST WHY IS IT SO MUCH EASIER

Ong bro
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MathPerson12321
3616 posts
MathPerson12321
#15 h  Jan 30, 2025, 12:32 AM
Y by
Schintalpati wrote:
SirAppel wrote:
at long last, 25 on amc8 :love:

OK BUT WHO THE HELL MADE THIS GOOFY TEST WHY IS IT SO MUCH EASIER

Ong bro

IKR
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MathRook7817
611 posts
MathRook7817
#16 h  Jan 30, 2025, 12:36 AM
Y by
Cutoffs might be +1 each from last year's cutoffs
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Shan3t
205 posts
Shan3t
#17 h  Jan 30, 2025, 12:39 AM
Y by
Watch DHR be a 26 bc of how easy this test was lol
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