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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.
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[*]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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squares in dots - MATHCOUNTS challenge problem
rrusczyk   6
N 40 minutes ago by DhruvJha
. . . . .
. . . . .
. . . . .
. . . . .

(That should be a 4x5 grid of dots.) Assuming each point is exactly one unit from its nearest neighbors, how many squares can be formed by connecting groups of four points?
6 replies
rrusczyk
May 27, 2003
DhruvJha
40 minutes ago
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Inspired by my own results
sqing   2
N an hour ago by cazanova19921
Source: Own
Let $ a,b,c\geq \frac{1}{2} . $ Prove that
$$ (a+1)(b+2)(c +1)-15 abc\leq \frac{15}{4}$$$$ (a+1)(b+3)(c +1)-21abc\leq \frac{21}{4}$$$$(a+2)(b+1)(c +2)-25a b c \leq \frac{25}{4}$$$$ (a+2)(b+3)(c +2)-35a b c \leq \frac{35}{2}$$$$ (a+3)(b+1)(c +3)-49a b c \leq \frac{49}{4}$$$$ (a+3)(b+2)(c +3)-49a b c \leq \frac{49}{2}$$
2 replies
sqing
3 hours ago
cazanova19921
an hour ago
J
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Line through incenter tangent to a circle
Kayak   32
N an hour ago by L13832
Source: Indian TST D1 P1
In an acute angled triangle $ABC$ with $AB < AC$, let $I$ denote the incenter and $M$ the midpoint of side $BC$. The line through $A$ perpendicular to $AI$ intersects the tangent from $M$ to the incircle (different from line $BC$) at a point $P$> Show that $AI$ is tangent to the circumcircle of triangle $MIP$.

Proposed by Tejaswi Navilarekallu
32 replies
Kayak
Jul 17, 2019
L13832
an hour ago
J
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D1015 : A strange EF for polynomials
Dattier   3
N an hour ago by Dattier
Source: les dattes à Dattier
Find all $P \in \mathbb R[x,y]$ with $P \not\in \mathbb R[x] \cup \mathbb R[y]$ and $\forall g,f$ homeomorphismes of $\mathbb R$, $P(f,g)$ is an homoemorphisme too.
3 replies
Dattier
Mar 16, 2025
Dattier
an hour ago
J
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Turkey EGMO TST 2017 P6
nimueh   4
N an hour ago by Nobitasolvesproblems1979
Source: Turkey EGMO TST 2017 P6
Find all pairs of prime numbers $(p,q)$, such that $\frac{(2p^2-1)^q+1}{p+q}$ and $\frac{(2q^2-1)^p+1}{p+q}$ are both integers.
4 replies
nimueh
Jun 1, 2017
Nobitasolvesproblems1979
an hour ago
J
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An inequality
JK1603JK   4
N an hour ago by Quantum-Phantom
Source: unknown
Let a,b,c>=0: ab+bc+ca=3 then maximize P=\frac{a^2b+b^2c+c^2a+9}{a+b+c}+\frac{abc}{2}.
4 replies
JK1603JK
Yesterday at 10:28 AM
Quantum-Phantom
an hour ago
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Inspired by Abelkonkurransen 2025
sqing   1
N an hour ago by kiyoras_2001
Source: Own
Let $ a,b,c $ be real numbers such that $ a^2+4b^2+16c^2= abc. $ Prove that $$\frac{1}{a}+\frac{1}{2b}+\frac{1}{4c}\geq -\frac{1}{16}$$Let $ a,b,c $ be real numbers such that $ 4a^2+9b^2+16c^2= abc. $ Prove that $$ \frac{1}{2a}+\frac{1}{3b}+\frac{1}{4c}\geq -\frac{1}{48}$$
1 reply
sqing
Yesterday at 1:06 PM
kiyoras_2001
an hour ago
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Inspired by Titu Andreescu
sqing   0
2 hours ago
Source: Own
Let $ a,b,c>0 $ and $ a+b+c\geq 3abc . $ Prove that
$$a^2+b^2+c^2+1\geq \frac{4}{3}(ab+bc+ca) $$
0 replies
1 viewing
sqing
2 hours ago
0 replies
J
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Geometry challenging question
srnjbr   0
2 hours ago
Given a triangle ABC. A1, B1 and C1 are the points of contact of the inner circumcircle of the triangle with the sides BC, AC and AB respectively. The point of contact of AA1 with B1C1 and the circumcircle are called L and Q respectively. M is the midpoint of B1C1. The point of intersection of lines BC and B1C1 is called T. P is the foot of the perpendicular drawn to AT from point L. Show that points A1, M, Q and P lie on a circle.
0 replies
srnjbr
2 hours ago
0 replies
J
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Plane normal to vector
RenheMiResembleRice   0
2 hours ago
Source: Bian Wei
Solve the attached
0 replies
RenheMiResembleRice
2 hours ago
0 replies
J
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Complex numbers should be easy
RenheMiResembleRice   1
N 3 hours ago by RenheMiResembleRice
Source: Wenjing Kong
I cant do the last part. :(
1 reply
RenheMiResembleRice
3 hours ago
RenheMiResembleRice
3 hours ago
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MATHCOUNTS on ESPN
rrusczyk   24
N Today at 4:21 AM by aidan0626
ESPN noon EST - the Countdown round of Nationals.

(Disclaimer: yours truly is an 'analyst' for the broadcast.)
24 replies
rrusczyk
May 27, 2003
aidan0626
Today at 4:21 AM
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Chances of mathcounts nats qual
stjwyl   81
N Today at 4:19 AM by mathelvin
Info:
In 8th grade so I'm really hoping I can make nats now

I currently mock around 38 - 40 on nationals questions from 2015+
I mock anywhere from 37 - 42 on state questons from 2020+

For the sprint round I also have noticed that the difficulty jump from questions around 19 and 20 to questions around 22 and 23 has been really large (starting from 2023). I've also noticed that the last three questions (also from 2023 ->) are IMO impossible to do in the 40 minutes.

On target I can get 7/8 or even 8/8 if I'm lucky but it's possible for me to get 6/8

I'm in MA :sob: really hard state so do I have a chance

Edit: Just mocked the 2022 state round and got a 41 (29 sprint, 12 target :sob:)

Currently putting around 3 hrs or so a day and I have been for the past 2 months
States is 3/1 for me :sob:

so am i cooked
81 replies
stjwyl
Feb 21, 2025
mathelvin
Today at 4:19 AM
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Mathcounts STRATEGIES
Existing_Human1   17
N Today at 3:54 AM by mathenrichmentaops
Hello commuinty!

I am wondering what your strategies are for mathcounts. Please note I do not mean tips. These can be for all rounds, but please specify. BTW, this is for state, but it can apply to any competition.

Ex:
Team - sit in a specific order
Target - do the easiest first
Sprint - go as fast as possible

I just made up the examples, and you will probably have better strategies, so if you want to help out, please do
17 replies
Existing_Human1
Yesterday at 7:27 PM
mathenrichmentaops
Today at 3:54 AM
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J
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state mathcounts colorado
aoh11   55
N Yesterday at 2:35 PM by Nioronean
I have state mathcounts tomorrow. What should I do to get prepared btw, and what are some tips for doing sprint and cdr?
55 replies
aoh11
Mar 15, 2025
Nioronean
Yesterday at 2:35 PM
J
state mathcounts colorado
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Reveal topic tags
MATHCOUNTS
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aoh11
200 posts
aoh11
#42 h  Mar 15, 2025, 1:12 AM
Y by
sadas123 wrote:
aoh11 wrote:
did you do well at states sadas123?

the cuttof for my chapter was 41 or 40 I got a 37 :( I sillied 4 questions on sprint and the cuttof for COUTNDOWN was a 38

It is okay. Florida is very competitive. I am sure you will do well at state next year
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sadas123
1063 posts
sadas123
#43 h  Mar 15, 2025, 1:13 AM
Y by
aoh11 wrote:
sadas123 wrote:
aoh11 wrote:
did you do well at states sadas123?

the cuttof for my chapter was 41 or 40 I got a 37 :( I sillied 4 questions on sprint and the cuttof for COUTNDOWN was a 38

It is okay. Florida is very competitive. I am sure you will do well at state next year

I have no next year next year for me is 7th grade.
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aoh11
200 posts
aoh11
#44 h  Mar 15, 2025, 1:15 AM
Y by
Yeah so you have 2 more years
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sadas123
1063 posts
sadas123
#45 h  Mar 15, 2025, 1:16 AM
Y by
aoh11 wrote:
Yeah so you have 2 more years

I know but so many 6th graders qualified for nats and I wanted 1 year already being trash at math :(
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aoh11
200 posts
aoh11
#46 h  Mar 15, 2025, 1:18 AM
Y by
Arnav bhatia from florida is a 6th grader?
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sadas123
1063 posts
sadas123
#47 h  Mar 15, 2025, 1:19 AM
Y by
aoh11 wrote:
Arnav bhatia from florida is a 6th grader?

no 8th grader he is so orz he got a 40 on Mathleague states :( but someone from Texas cough cough is a 6th grader who made Nats in 4th place.
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Nioronean
97 posts
Nioronean
#48 h  Mar 15, 2025, 1:20 AM
Y by
sadas123 wrote:
aoh11 wrote:
Arnav bhatia from florida is a 6th grader?

no 8th grader he is so orz he got a 40 on Mathleague states :( but someone from Texas cough cough is a 6th grader who made Nats in 4th place.

Why does this give Luke Robitaille vibes
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sadas123
1063 posts
sadas123
#49 h  Mar 15, 2025, 1:21 AM
Y by
Nioronean wrote:
sadas123 wrote:
aoh11 wrote:
Arnav bhatia from florida is a 6th grader?

no 8th grader he is so orz he got a 40 on Mathleague states :( but someone from Texas cough cough is a 6th grader who made Nats in 4th place.

Why does this give Luke Robitaille vibes

ikr I will never be good.
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sadas123
1063 posts
sadas123
#50 h  Mar 15, 2025, 1:23 AM
Y by
I have never even took an math classes in my life or read an math book in my life :skull that is probably why I suck..
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aoh11
200 posts
aoh11
#51 h  Mar 15, 2025, 1:34 AM
Y by
sadas123 wrote:
aoh11 wrote:
Arnav bhatia from florida is a 6th grader?

no 8th grader he is so orz he got a 40 on Mathleague states :( but someone from Texas cough cough is a 6th grader who made Nats in 4th place.

oh yeah james stewart
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sadas123
1063 posts
sadas123
#52 h  Mar 15, 2025, 1:37 AM
Y by
aoh11 wrote:
sadas123 wrote:
aoh11 wrote:
Arnav bhatia from florida is a 6th grader?

no 8th grader he is so orz he got a 40 on Mathleague states :( but someone from Texas cough cough is a 6th grader who made Nats in 4th place.

oh yeah james stewart

yup.....
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huajun78
27 posts
huajun78
#53 h  Mar 15, 2025, 1:46 AM • 1 Y
Y by MathPerson12321
Quote:
I have state mathcounts tomorrow. What should I do to get prepared btw, and what are some tips for doing sprint and cdr?

Good luck on states!! I have my competition tomorrow too.
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APrussianBadger
32 posts
APrussianBadger
#54 h  Mar 19, 2025, 3:10 AM
Y by
aoh11 wrote:
I think I have a chance at making nationals as long as I don't silly too many on sprint because I usually get 6 7 on target mocks

wait did u CDR at state?? i think i might know you
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Charizard_637
86 posts
Charizard_637
#56 h  Yesterday at 2:11 PM
Y by
uhh

do a little bit of mc trainer & ftw on the car ride to state
make sure to not do math at ALL the morning of competition
lock in at all times (especially during sprint round)
do not stay up until 1am because you can't sleep and the hotel sucks
Z K Y
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Nioronean
97 posts
Nioronean
#57 h  Yesterday at 2:35 PM
Y by
Charizard_637 wrote:
uhh

do a little bit of mc trainer & ftw on the car ride to state
make sure to not do math at ALL the morning of competition
lock in at all times (especially during sprint round)
do not stay up until 1am because you can't sleep and the hotel sucks

Colorado state happened last week
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