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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.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]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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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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HCSSiM results
SurvivingInEnglish   73
N an hour ago by YauYauFilter
Anyone already got results for HCSSiM? Are there any point in sending additional work if I applied on March 19?
73 replies
SurvivingInEnglish
Apr 5, 2024
YauYauFilter
an hour ago
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greatest volume
hzbrl   2
N 2 hours ago by hzbrl
Source: purple comet
A large sphere with radius 7 contains three smaller balls each with radius 3 . The three balls are each externally tangent to the other two balls and internally tangent to the large sphere. There are four right circular cones that can be inscribed in the large sphere in such a way that the bases of the cones are tangent to all three balls. Of these four cones, the one with the greatest volume has volume $n \pi$. Find $n$.
2 replies
hzbrl
May 8, 2025
hzbrl
2 hours ago
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inequality
danilorj   2
N 2 hours ago by danilorj
Let $a, b, c$ be nonnegative real numbers such that $a + b + c = 3$. Prove that
\[ \frac{a}{4 - b} + \frac{b}{4 - c} + \frac{c}{4 - a} + \frac{1}{16}(1 - a)^2(1 - b)^2(1 - c)^2 \leq 1, \]and determine all such triples $(a, b, c)$ where the equality holds.
2 replies
danilorj
Yesterday at 9:08 PM
danilorj
2 hours ago
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2010 Japan MO Finals
parkjungmin   2
N 2 hours ago by egxa
Is there anyone who can solve question problem 5?
2 replies
parkjungmin
3 hours ago
egxa
2 hours ago
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Functional Equation!
EthanWYX2009   3
N 2 hours ago by liyufish
Source: 2025 TST 24
Find all functions $f:\mathbb Z\to\mathbb Z$ such that $f$ is unbounded and
\[2f(m)f(n)-f(n-m)-1\]is a perfect square for all integer $m,n.$
3 replies
EthanWYX2009
Mar 29, 2025
liyufish
2 hours ago
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All-Russian Olympiad
ABCD1728   3
N 3 hours ago by RagvaloD
When did the first ARMO occur? 2025 is the 51-st, but ARMO on AoPS starts from 1993, there are only 33 years.
3 replies
ABCD1728
3 hours ago
RagvaloD
3 hours ago
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Hard geometry
Lukariman   6
N 3 hours ago by Lukariman
Given circle (O) and chord AB with different diameters. The tangents of circle (O) at A and B intersect at point P. On the small arc AB, take point C so that triangle CAB is not isosceles. The lines CA and BP intersect at D, BC and AP intersect at E. Prove that the centers of the circles circumscribing triangles ACE, BCD and OPC are collinear.
6 replies
Lukariman
Yesterday at 4:28 AM
Lukariman
3 hours ago
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Simple but hard
TUAN2k8   1
N 4 hours ago by Funcshun840
Source: Own
I need synthetic solution:
Given an acute triangle $ABC$ with orthocenter $H$.Let $AD,BE$ and $CF$ be the altitudes of triangle.Let $X$ and $Y$ be reflections of points $E,F$ across the line $AD$, respectively.Let $M$ and $N$ be the midpoints of $BH$ and $CH$, respectively.Let $K=YM \cap AB$ and $L=XN \cap AC$.Prove that $K,D$ and $L$ are collinear.
1 reply
TUAN2k8
5 hours ago
Funcshun840
4 hours ago
J
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Iran geometry
Dadgarnia   23
N 5 hours ago by Ilikeminecraft
Source: Iranian TST 2018, first exam, day1, problem 3
In triangle $ABC$ let $M$ be the midpoint of $BC$. Let $\omega$ be a circle inside of $ABC$ and is tangent to $AB,AC$ at $E,F$, respectively. The tangents from $M$ to $\omega$ meet $\omega$ at $P,Q$ such that $P$ and $B$ lie on the same side of $AM$. Let $X \equiv PM \cap BF $ and $Y \equiv QM \cap CE $. If $2PM=BC$ prove that $XY$ is tangent to $\omega$.

Proposed by Iman Maghsoudi
23 replies
Dadgarnia
Apr 7, 2018
Ilikeminecraft
5 hours ago
J
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Dou Fang Geometry in Taiwan TST
Li4   9
N 5 hours ago by WLOGQED1729
Source: 2025 Taiwan TST Round 3 Mock P2
Let $\omega$ and $\Omega$ be the incircle and circumcircle of the acute triangle $ABC$, respectively. Draw a square $WXYZ$ so that all of its sides are tangent to $\omega$, and $X$, $Y$ are both on $BC$. Extend $AW$ and $AZ$, intersecting $\Omega$ at $P$ and $Q$, respectively. Prove that $PX$ and $QY$ intersects on $\Omega$.

Proposed by kyou46, Li4, Revolilol.
9 replies
Li4
Apr 26, 2025
WLOGQED1729
5 hours ago
J
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Stanford Math Tournament (SMT) 2025
stanford-math-tournament   4
N 5 hours ago by techb
[center] :trampoline: :first: Stanford Math Tournament :first: :trampoline: [/center]

----------------------------------------------------------

[center]IMAGE[/center]

We are excited to announce that registration is now open for Stanford Math Tournament (SMT) 2025!

This year, we will welcome 800 competitors from across the nation to participate in person on Stanford’s campus. The tournament will be held April 11-12, 2025, and registration is open to all high-school students from the United States. This year, we are extending registration to high school teams (strongly preferred), established local mathematical organizations, and individuals; please refer to our website for specific policies. Whether you’re an experienced math wizard, a puzzle hunt enthusiast, or someone looking to meet new friends, SMT has something to offer everyone!

Register here today! We’ll be accepting applications until March 2, 2025.

For those unable to travel, in middle school, or not from the United States, we encourage you to instead register for SMT 2025 Online, which will be held on April 13, 2025. Registration for SMT 2025 Online will open mid-February.

For more information visit our website! Please email us at stanford.math.tournament@gmail.com with any questions or reply to this thread below. We can’t wait to meet you all in April!

4 replies
stanford-math-tournament
Feb 1, 2025
techb
5 hours ago
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A4 BMO SHL 2024
mihaig   0
5 hours ago
Source: Someone known
Let $a\ge b\ge c\ge0$ be real numbers such that $ab+bc+ca=3.$
Prove
$$3+\left(2-\sqrt 3\right)\cdot\frac{\left(b-c\right)^2}{b+\left(\sqrt 3-1\right)c}\leq a+b+c.$$Prove that if $k<\sqrt 3-1$ is a positive constant, then
$$3+\left(2-\sqrt 3\right)\cdot\frac{\left(b-c\right)^2}{b+kc}\leq a+b+c$$is not always true
0 replies
mihaig
5 hours ago
0 replies
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Goals for 2025-2026
Airbus320-214   136
N Today at 3:38 AM by MathPerson12321
Please write down your goal/goals for competitions here for 2025-2026.
136 replies
Airbus320-214
May 11, 2025
MathPerson12321
Today at 3:38 AM
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Alcumus vs books
UnbeatableJJ   5
N Today at 2:41 AM by Andyluo
If I am aiming for AIME, then JMO afterwards, is Alcumus adequate, or I still need to do the problems on AoPS books?

I got AMC 23 this year, and never took amc 10 before. If I master the alcumus of intermediate algebra (making all of the bars blue). How likely I can qualify for AIME 2026?
5 replies
UnbeatableJJ
Apr 23, 2025
Andyluo
Today at 2:41 AM
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AMC 10B USAJMO qualification
nsking_1209   54
N Mar 9, 2025 by cowstalker
Will 239.5 qualify for usajmo?
54 replies
nsking_1209
Feb 3, 2025
cowstalker
Mar 9, 2025
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AMC 10B USAJMO qualification
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Alex_Yang
442 posts
Alex_Yang
#42 h  Feb 5, 2025, 7:52 PM
Y by
lovematch13 wrote:
I've scored a 132 on 10A and I think that's my best shot of making JMO. I think a score of 10-11 is reasonable for me, correct me if I'm wrong.

from experience 10 is not entirely safe but 11 is
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isache
441 posts
isache
#43 h  Feb 5, 2025, 7:55 PM
Y by
BS2012 wrote:
isache wrote:
Yk how cutoffs were dragged up by leaks? Even 230 made it last yr on all tests. Also this yrs test were abt same difficulty, exception on 12A. So with cutoffs dragged up by leaks, and same difficulty amc’s, how does the cutoff go up? im confused

Um 230 did not make it from any tests for the I
Sorry I meant to say 232 for all amc 10’s with exception of 10A+I
This post has been edited 1 time. Last edited by isache, Feb 5, 2025, 7:55 PM
Reason: because
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isache
441 posts
isache
#44 h  Feb 5, 2025, 7:57 PM
Y by
Also, the dhr+99.5 is an extremity from last year for jmo cutoff. dhr+95=233.5 on 10B should be a safe score, but also depends on aimes difficulty. Last years was pretty easy
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NS0004
191 posts
NS0004
#45 h  Feb 5, 2025, 8:32 PM
Y by
Why do you guys keep asking if _______(this number) will make it. You can search up previous cutoffs and figure out your chance. Btw you have absolutely no chance(jk), index will probably be 500+...( :pilot:
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Math4Life7
1703 posts
Math4Life7
#46 h  Feb 5, 2025, 10:22 PM
Y by
isache wrote:
236+ is just insane. Like what is the justification for this after every other year in AMC history not having a JMO cutoff greater that 232 with the exception of last years A+I. Plus this is with cheaters and the largest AMC leak in a while. Also, max JMO cutoff ever was is DHR+99.5 (also last yr w cheaters). I mean, 238 sounds a little outrageous, when you think abt the 180-200 only 2 years ago, no?

Not me reading this with 234 A+I last year :noo:
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mineric
62 posts
mineric
#47 h  Feb 5, 2025, 10:53 PM
Y by
Definitely quals
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lucaswujc
295 posts
lucaswujc
#48 h  Feb 5, 2025, 11:10 PM
Y by
no 230 will never qual
i have received word from maa insides that the jmo cutoff will be 310 :wacko:
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Shan3t
364 posts
Shan3t
#49 h  Feb 5, 2025, 11:40 PM
Y by
dhr + 9 = jmo floor

im so smart :D
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mathwiz_1207
100 posts
mathwiz_1207
#50 h  Feb 6, 2025, 12:00 AM
Y by
lucaswujc wrote:
no 230 will never qual
i have received word from maa insides that the jmo cutoff will be 310 :wacko:

310 will actually be borderline you should go for 360 to be safe
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ILikeEatingLittleKids
7 posts
ILikeEatingLittleKids
#51 h  Mar 8, 2025, 10:02 PM
Y by
xHypotenuse wrote:
For sure
isache wrote:
230 will prolly qual. Aops users r funny ppl. Most ppl who say otherwise are either just 250+ demons or non aime quals who haven't learned much about the cutoff system yet.

For sure…
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MathPerson12321
3785 posts
MathPerson12321
#52 h  Mar 8, 2025, 10:10 PM • 1 Y
Y by Shadow6885
isache wrote:
230 will prolly qual. Aops users r funny ppl. Most ppl who say otherwise are either just 250+ demons or non aime quals who haven't learned much about the cutoff system yet.

this aged well
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BS2012
1045 posts
BS2012
#53 h  Mar 8, 2025, 10:40 PM
Y by
isache wrote:
Also, the dhr+99.5 is an extremity from last year for jmo cutoff. dhr+95=233.5 on 10B should be a safe score, but also depends on aimes difficulty. Last years was pretty easy

"safe score"
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MathPerson12321
3785 posts
MathPerson12321
#54 h  Mar 8, 2025, 10:49 PM
Y by
BS2012 wrote:
isache wrote:
Also, the dhr+99.5 is an extremity from last year for jmo cutoff. dhr+95=233.5 on 10B should be a safe score, but also depends on aimes difficulty. Last years was pretty easy

"safe score"

it should be but now it wont even make it
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sadas123
1305 posts
sadas123
#55 h  Mar 8, 2025, 11:01 PM
Y by
yup 240+ is sad,..........
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cowstalker
295 posts
cowstalker
#56 h  Mar 9, 2025, 4:48 AM
Y by
well, this didn't age well
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