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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

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Be sure to mark your calendars for the following events:
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April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 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 Did you get into Illinois middle school math Olympiad?
Gavin_Deng   13
N a few seconds ago by legospartan
I am simply curious of who got in.
13 replies
+1 w
Gavin_Deng
Apr 19, 2025
legospartan
a few seconds ago
J
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Nats 2024 cutoff Map
MathyMathMan   18
N 3 minutes ago by K1mchi_
2024 MATHCOUNTS Nats Cutoff Map

Greetings!

I should first and foremost thank those who helped with this project along the way. This idea is fully inspired by past South Dakota alumni that attended my school. The original ideas were created by @anser and @techguy2. I would also like to thank @peace09 for agreeing to collaborate with me on the scores and ratings during the 2024 state competitions throughout the country.

@peace09's post Cutoffs and Scores

Please state your state and cutoff score. (4th place) You can also provide the 3rd, 2nd, and 1st place scores as well. People from different territories can also provide their state's scores as well. I will try my best to keep this map updated until we get all the scores. You are also free to discuss states and nationals stuff too if you want. :)

(Btw congratulations to everyone who made nationals, I hope to see you guys there too!)

Nats qualification scores
18 replies
+1 w
MathyMathMan
Apr 4, 2024
K1mchi_
3 minutes ago
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Math and AI 4 Girls
mkwhe   27
N 5 minutes ago by Panda729
Hey everyone!

The 2025 MA4G competition is now open!

Apply Here: https://xmathandai4girls.submittable.com/submit


Visit https://www.mathandai4girls.org/ to get started!

Feel free to PM or email mathandai4girls@yahoo.com if you have any questions!
27 replies
mkwhe
Apr 5, 2025
Panda729
5 minutes ago
J
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9 AMC 8 Scores
ChromeRaptor777   108
N 22 minutes ago by K1mchi_
As far as I'm certain, I think all AMC8 scores are already out. Vote above.
108 replies
ChromeRaptor777
Apr 1, 2022
K1mchi_
22 minutes ago
J
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Existence of perfect squares
egxa   2
N 41 minutes ago by pavel kozlov
Source: All Russian 2025 10.3
Find all natural numbers \(n\) for which there exists an even natural number \(a\) such that the number
\[ (a - 1)(a^2 - 1)\cdots(a^n - 1) \]is a perfect square.
2 replies
1 viewing
egxa
Apr 18, 2025
pavel kozlov
41 minutes ago
J
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IMO 2014 Problem 4
ipaper   169
N 2 hours ago by YaoAOPS
Let $P$ and $Q$ be on segment $BC$ of an acute triangle $ABC$ such that $\angle PAB=\angle BCA$ and $\angle CAQ=\angle ABC$. Let $M$ and $N$ be the points on $AP$ and $AQ$, respectively, such that $P$ is the midpoint of $AM$ and $Q$ is the midpoint of $AN$. Prove that the intersection of $BM$ and $CN$ is on the circumference of triangle $ABC$.

Proposed by Giorgi Arabidze, Georgia.
169 replies
ipaper
Jul 9, 2014
YaoAOPS
2 hours ago
J
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Inequalities
Scientist10   1
N 2 hours ago by Bergo1305
If $x, y, z \in \mathbb{R}$, then prove that the following inequality holds:
\[ \sum_{\text{cyc}} \sqrt{1 + \left(x\sqrt{1 + y^2} + y\sqrt{1 + x^2}\right)^2} \geq \sum_{\text{cyc}} xy + 2\sum_{\text{cyc}} x \]
1 reply
Scientist10
4 hours ago
Bergo1305
2 hours ago
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Tangents forms triangle with two times less area
NO_SQUARES   1
N 2 hours ago by Luis González
Source: Kvant 2025 no. 2 M2831
Let $DEF$ be triangle, inscribed in parabola. Tangents in points $D,E,F$ forms triangle $ABC$. Prove that $S_{DEF}=2S_{ABC}$. ($S_T$ is area of triangle $T$).
From F.S.Macaulay's book «Geometrical Conics», suggested by M. Panov
1 reply
NO_SQUARES
Today at 9:08 AM
Luis González
2 hours ago
J
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FE solution too simple?
Yiyj1   9
N 2 hours ago by jasperE3
Source: 101 Algebra Problems from the AMSP
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that the equality $$f(f(x)+y) = f(x^2-y)+4f(x)y$$holds for all pairs of real numbers $(x,y)$.

My solution

I feel like my solution is too simple. Is there something I did wrong or something I missed?
9 replies
Yiyj1
Apr 9, 2025
jasperE3
2 hours ago
J
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interesting function equation (fe) in IR
skellyrah   2
N 2 hours ago by jasperE3
Source: mine
find all function F: IR->IR such that $$ xf(f(y)) + yf(f(x)) = f(xf(y)) + f(xy) $$
2 replies
skellyrah
Today at 9:51 AM
jasperE3
2 hours ago
J
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Complicated FE
XAN4   1
N 2 hours ago by jasperE3
Source: own
Find all solutions for the functional equation $f(xyz)+\sum_{cyc}f(\frac{yz}x)=f(x)\cdot f(y)\cdot f(z)$, in which $f$: $\mathbb R^+\rightarrow\mathbb R^+$
Note: the solution is actually quite obvious - $f(x)=x^n+\frac1{x^n}$, but the proof is important.
Note 2: it is likely that the result can be generalized into a more advanced questions, potentially involving more bash.
1 reply
XAN4
Today at 11:53 AM
jasperE3
2 hours ago
J
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Find all sequences satisfying two conditions
orl   34
N 3 hours ago by YaoAOPS
Source: IMO Shortlist 2007, C1, AIMO 2008, TST 1, P1
Let $ n > 1$ be an integer. Find all sequences $ a_1, a_2, \ldots a_{n^2 + n}$ satisfying the following conditions:
\[ \text{ (a) } a_i \in \left\{0,1\right\} \text{ for all } 1 \leq i \leq n^2 + n; \]

\[ \text{ (b) } a_{i + 1} + a_{i + 2} + \ldots + a_{i + n} < a_{i + n + 1} + a_{i + n + 2} + \ldots + a_{i + 2n} \text{ for all } 0 \leq i \leq n^2 - n. \]
Author: Dusan Dukic, Serbia
34 replies
orl
Jul 13, 2008
YaoAOPS
3 hours ago
J
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IMO Shortlist 2011, G4
WakeUp   125
N 3 hours ago by Davdav1232
Source: IMO Shortlist 2011, G4
Let $ABC$ be an acute triangle with circumcircle $\Omega$. Let $B_0$ be the midpoint of $AC$ and let $C_0$ be the midpoint of $AB$. Let $D$ be the foot of the altitude from $A$ and let $G$ be the centroid of the triangle $ABC$. Let $\omega$ be a circle through $B_0$ and $C_0$ that is tangent to the circle $\Omega$ at a point $X\not= A$. Prove that the points $D,G$ and $X$ are collinear.

Proposed by Ismail Isaev and Mikhail Isaev, Russia
125 replies
WakeUp
Jul 13, 2012
Davdav1232
3 hours ago
J
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Z[x], P(\sqrt[3]5+\sqrt[3]25)=5+\sqrt[3]5
jasperE3   5
N 3 hours ago by Assassino9931
Source: VJIMC 2013 2.3
Prove that there is no polynomial $P$ with integer coefficients such that $P\left(\sqrt[3]5+\sqrt[3]{25}\right)=5+\sqrt[3]5$.
5 replies
jasperE3
May 31, 2021
Assassino9931
3 hours ago
J
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J
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2025 MATHCOUNTS NATIONAL HUB
mathkiddus   15
N Apr 2, 2025 by GarudS
go to the official one
15 replies
mathkiddus
Apr 1, 2025
GarudS
Apr 2, 2025
J
2025 MATHCOUNTS NATIONAL HUB
G H J
Reveal topic tags
MATHCOUNTS
L
G H BBookmark kLocked kLocked NReply
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mathkiddus
230 posts
mathkiddus
#1 h  Apr 1, 2025, 3:24 PM
Y by
go to the official one
This post has been edited 4 times. Last edited by mathkiddus, Apr 3, 2025, 4:43 AM
Reason: delete topic pls mods
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pl246631
15 posts
pl246631
#2 h  Apr 1, 2025, 3:25 PM
Y by
FL was 42 41 40 39 38 37 37 for top 7
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iwastedmyusername
114 posts
iwastedmyusername
#3 h  Apr 1, 2025, 3:26 PM
Y by
lil bro theres already one of these
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DhruvJha
845 posts
DhruvJha
#4 h  Apr 1, 2025, 3:28 PM
Y by
mathkiddus wrote:
Previous Years' ``Hubs":(2022) (2023) (2024) Please Read
Now that it's April and we can discuss mathcounts state...
  • NJ: 43 (45 44 44 43 39 42 40 40 39 38) *
  • CA: 43 (45 44 43 43 43 42)
  • TX: 42 (43 43 43 42 42 40)
  • NY: 42 (43 42 42 42 41 40)
  • WA: 41 (42 45 41 41 41 41 41 41 41 40) *
  • MA: 41 (45 43 42 41 38 37 37)
  • NC: 39 (42 42 41 39 38 37 36/37)
  • IN: 39 (41 40 40 39)
  • OH: 37? (41? 40? 38? 37?) *
  • DE: 30 (34 33 32 30)
  • CT: ?? (44 40/41 ?? ??)
  • PA: ?? (41 ?? ?? ??) *
  • UT: ?? (42 ?? ?? ??) *
  • AR: ?? (45/46 ?? ?? ??)
  • AL: ?? (?? ?? ?? ??)
  • AK: ?? (?? ?? ?? ??)
  • AZ: ?? (?? ?? ?? ??)
  • CO: ?? (?? ?? ?? ??)
  • FL: ?? (?? ?? ?? ??)
  • GA: ?? (?? ?? ?? ??)
  • HI: ?? (?? ?? ?? ??)
  • ID: ?? (?? ?? ?? ??)
  • IL: ?? (?? ?? ?? ??)
  • IA: ?? (?? ?? ?? ??)
  • KS: ?? (?? ?? ?? ??)
  • KY: ?? (?? ?? ?? ??)
  • LA: ?? (?? ?? ?? ??)
  • ME: ?? (?? ?? ?? ??)
  • MD: ?? (?? ?? ?? ??)
  • MI: ?? (?? ?? ?? ??)
  • MN: ?? (?? ?? ?? ??)
  • MS: ?? (?? ?? ?? ??)
  • MO: ?? (?? ?? ?? ??)
  • MT: ?? (?? ?? ?? ??)
  • NE: ?? (?? ?? ?? ??)
  • NV: ?? (?? ?? ?? ??)
  • NH: ?? (?? ?? ?? ??)
  • NM: ?? (?? ?? ?? ??)
  • ND: ?? (?? ?? ?? ??)
  • OK: ?? (?? ?? ?? ??)
  • OR: ?? (?? ?? ?? ??)
  • RI: ?? (?? ?? ?? ??)
  • SC: ?? (?? ?? ?? ??)
  • SD: ?? (?? ?? ?? ??)
  • TN: ?? (?? ?? ?? ??)
  • VT: ?? (?? ?? ?? ??)
  • VA: ?? (?? ?? ?? ??)
  • WV: ?? (?? ?? ?? ??)
  • WI: ?? (?? ?? ?? ??)
  • WY: ?? (?? ?? ?? ??)
  • PR: ?? (?? ?? ?? ??)
  • VI: ?? (?? ?? ?? ??)
  • DD: ?? (?? ?? ?? ??)
  • SS: ?? (?? ?? ?? ??)
  • GU: ?? (?? ?? ?? ??)
  • DC: ?? (?? ?? ?? ??)
Please help me fill in any missing details or correct any incorrect details. Note: any row with an * at the end means countdown is official in that state, to explain why some lower scores are ahead of higher ones.
The reason why there are no tiers and the chart is a lot less colorful than last year is because
peace09 wrote:
learn from my mistakes

Bro NJ Is cracked #texas falloff?
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martianrunner
179 posts
martianrunner
#5 h  Apr 1, 2025, 3:32 PM
Y by
https://artofproblemsolving.com/community/c3h3539667_2025_mathcounts_state_hub

one of these was already made bro :sob:
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mathkiddus
230 posts
mathkiddus
#6 h  Apr 1, 2025, 3:38 PM
Y by
martianrunner wrote:
https://artofproblemsolving.com/community/c3h3539667_2025_mathcounts_state_hub

one of these was already made bro :sob:

Oh, :skull: there was some confusion in the nats server :skull: he was supposed to use this template
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BossLu99
1372 posts
BossLu99
#7 h  Apr 1, 2025, 6:10 PM
Y by
PA was 41 40 40 38
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giratina3
494 posts
giratina3
#8 h  Apr 2, 2025, 1:45 AM
Y by
There is already a thread for this. Scroll to the top of MSM posts.
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studylove
15 posts
studylove
#9 h  Apr 2, 2025, 7:12 PM
Y by
What was the answer to the subset question, target p6
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sanaops9
823 posts
sanaops9
#11 h  Apr 2, 2025, 7:15 PM
Y by
2024 i believe @above
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StrawberriBunni
12 posts
StrawberriBunni
#12 h  Apr 2, 2025, 7:18 PM
Y by
How do you do that question
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Eddie_tiger
341 posts
Eddie_tiger
#13 h  Apr 2, 2025, 9:46 PM
Y by
You needed to realize the answer was just an Arithmetic-geometric series and you needed to find the sum of the total terms.
This post has been edited 1 time. Last edited by Eddie_tiger, Apr 2, 2025, 9:46 PM
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MC_ADe
177 posts
MC_ADe
#14 h  Apr 2, 2025, 10:07 PM
Y by
It says not to discuss the questions currently, but if it is allowed I can post a solution.
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martianrunner
179 posts
martianrunner
#15 h  Apr 2, 2025, 10:26 PM
Y by
it's almost definitely allowed, a ton of people were talking about it
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EaZ_Shadow
1234 posts
EaZ_Shadow
#16 h  Apr 2, 2025, 10:36 PM
Y by
studylove wrote:
What was the answer to the subset question, target p6

Arithmetico geometric series, and derive the formula
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GarudS
940 posts
GarudS
#17 h  Apr 2, 2025, 10:42 PM
Y by
OR: 44 Sophia H. (41?) Kevin L. (38/26+16) Garud S. (38/24+14) Ryan Z.
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