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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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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
J
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what is a moh
Soupboy0   1
N 16 minutes ago by DhruvJha
can someone please tell me what a moh is
1 reply
Soupboy0
19 minutes ago
DhruvJha
16 minutes ago
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9 Can I make MOP
Bigtree   15
N 37 minutes ago by Bigtree
My dream is to be on IMO team ik thats not going to happen b/c the kids that make it are like 6th mop quals :play_ball:. I somehow got a $208.5$ index this yr (118.5 on amc10+ 9 on AIME) i’m in 7th rn btw first year comp math also. I will grind so hard until like 30 hrs/week. I’m ok at proofs. made mc nats
15 replies
Bigtree
Mar 9, 2025
Bigtree
37 minutes ago
J
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Funny system of equations in three variables
Tintarn   10
N 2 hours ago by Marcus_Zhang
Source: Baltic Way 2020, Problem 5
Find all real numbers $x,y,z$ so that
\begin{align*} x^2 y + y^2 z + z^2 &= 0 \\ z^3 + z^2 y + z y^3 + x^2 y &= \frac{1}{4}(x^4 + y^4). \end{align*}
10 replies
1 viewing
Tintarn
Nov 14, 2020
Marcus_Zhang
2 hours ago
J
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USAMO Grading
AdityaDwivedi   1
N 2 hours ago by cowstalker
Hello,

I was wondering how USAMO grading works. For one of my solutions, I kinda generalized a part of my solution cause I assumed that the reader would be able to follow but idk if it’ll drop my score from a 7 to a 5 or 6. So how much detail to I rlly need to include to get full points?
1 reply
1 viewing
AdityaDwivedi
3 hours ago
cowstalker
2 hours ago
J
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Red Mop Chances
imagien_bad   31
N 2 hours ago by hashbrown2009
What are my chances of making red mop with a 35 on jmo?
31 replies
imagien_bad
Yesterday at 8:27 PM
hashbrown2009
2 hours ago
J
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a^{2m}+a^{n}+1 is perfect square
kmh1   1
N 2 hours ago by kmh1
Source: own
Find all positive integer triplets $(a,m,n)$ such that $2m>n$ and $a^{2m}+a^{n}+1$ is a perfect square.
1 reply
kmh1
Mar 20, 2025
kmh1
2 hours ago
J
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Interesting problem
deraxenrovalo   0
2 hours ago
Given $\triangle$$ABC$ with circumcenter $O$$.\;$Let $P$ be an arbitrary point on $(BOC)$ such that $P$ is outside $(ABC)$$.\;$Let $Q$ be an arbitrary point on $(ABC)$$.\;$$AB$ cuts $(ACP)$ again at $E$ and $AC$ cuts $(ABP)$ again at $F$$.\;$The intersection of $BF$ and $CE$ is $R$$.\;$Let $X$ and $Y$ be the intersection of $EF$ with $(PQC)$ and $(PQR)$ respectively such that $X$, $Y$, $P$ are pairwise distinct.
Show that : $(APX)$, $(BPY)$, $(QPE)$ are coaxial circles

hint
0 replies
deraxenrovalo
2 hours ago
0 replies
J
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Vieta Jumping Unsolved(Reposted)
Eagle116   0
2 hours ago
Source: MONT, Vieta Jumping part
The question is:
Let $x_1$, $x_2$, $\dots$, $x_n$ be $n$ integers. If $k>n$ is an integer, prove that the only solution to
$$x_1^2 + x_2^2 + \dots + x_n^2 = kx_1x_2\dots x_n $$is is $x_1 = x_2 = \dots = x_n = 0$.
0 replies
Eagle116
2 hours ago
0 replies
J
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Geometry with parallel lines.
falantrng   32
N 2 hours ago by endless_abyss
Source: RMM 2018,D1 P1
Let $ABCD$ be a cyclic quadrilateral an let $P$ be a point on the side $AB.$ The diagonals $AC$ meets the segments $DP$ at $Q.$ The line through $P$ parallel to $CD$ mmets the extension of the side $CB$ beyond $B$ at $K.$ The line through $Q$ parallel to $BD$ meets the extension of the side $CB$ beyond $B$ at $L.$ Prove that the circumcircles of the triangles $BKP$ and $CLQ$ are tangent .
32 replies
falantrng
Feb 24, 2018
endless_abyss
2 hours ago
J
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sum divides n-th moment
navi_09220114   1
N 3 hours ago by ja.
Source: Own. Malaysian IMO TST 2025 P9
Given four distinct positive integers $a<b<c<d$ such that $\gcd(a,b,c,d)=1$, find the maximum possible number of integers $1\le n\le 2025$ such that $$a+b+c+d\mid a^n+b^n+c^n+d^n$$
Proposed by Ivan Chan Kai Chin
1 reply
navi_09220114
Yesterday at 1:07 PM
ja.
3 hours ago
J
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Find all functions
Jackson0423   0
3 hours ago
Find all functions F:R->R such that
1/(F(F(x))-F(x))=F(x)
I know x+1/x works..
0 replies
Jackson0423
3 hours ago
0 replies
J
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2x+1 is a perfect square but the following x+1 integers are not.
Sumgato   7
N 3 hours ago by Davut1102
Source: Spain Mathematical Olympiad 2018 P1
Find all positive integers $x$ such that $2x+1$ is a perfect square but none of the integers $2x+2, 2x+3, \ldots, 3x+2$ are perfect squares.
7 replies
Sumgato
Mar 17, 2018
Davut1102
3 hours ago
J
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Prove that P1(x), P2(x) ,... Pn(x) = k has no root
truongphatt2668   2
N 3 hours ago by truongphatt2668
Let $n \in \mathbb{N}^*$ and $P_1(x),P_2(x), \ldots P_n(x) \in \mathbb{Z}[x]$ such that $\mathrm{deg} P_i = 2, \forall i = \overline{1,n}$. Prove that exists many $k \in \mathbb{N}$ such that every equation: $P_i(x) = k, \forall i = \overline{1,n}$ has no real roots
2 replies
truongphatt2668
Today at 2:26 AM
truongphatt2668
3 hours ago
J
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Geo: incircle, escircle, isotomic conjugate
XAN4   1
N 3 hours ago by deraxenrovalo
Source: Own
For $\triangle{ABC}$, Its incircle $\odot I$ and $A-$escircle $\odot I_A$ are tangent to $BC$ at $D$ and $E$ respectively. $AI$ intersects line $BC$ at $J$. Line $AD$ intersects $\odot I$ at $F$, and line $AE$ intersects $\odot I_A$ at $G$. Line $FG$ intersects $BC$ at $H$. Prove that $BJ=CH$.
1 reply
XAN4
Mar 19, 2025
deraxenrovalo
3 hours ago
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AMC 10.........
BAM10   17
N Yesterday at 4:52 PM by jkim0656
I'm in 8th grade and have never taken the AMC 10. I am currently in alg2. I have scored 20 on AMC 8 this year and 34 on the chapter math counts last year. Can I qualify for AIME. Also what should I practice AMC 10 next year?
17 replies
BAM10
Mar 2, 2025
jkim0656
Yesterday at 4:52 PM
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AMC 10.........
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Reveal topic tags
AMC 10
AMC 8
MATHCOUNTS
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BAM10
68 posts
BAM10
#1 h  Mar 2, 2025, 8:02 PM
Y by
I'm in 8th grade and have never taken the AMC 10. I am currently in alg2. I have scored 20 on AMC 8 this year and 34 on the chapter math counts last year. Can I qualify for AIME. Also what should I practice AMC 10 next year?
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orangebear
612 posts
orangebear
#2 h  Mar 2, 2025, 8:04 PM
Y by
Yeah you can last year I got a 19 on AMC and a 31 on mathcounts chapter and I qualified for AIME.
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CYW
327 posts
CYW
#3 h  Mar 2, 2025, 9:06 PM
Y by
Dunno, opposite way for me. I got 80-something on AMC 10 (cutoff mid 90's) and got 37 on MATHCOUNTS chapter
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Airbus320-214
77 posts
Airbus320-214
#4 h  Mar 3, 2025, 3:07 AM
Y by
Practice past problems of amc 10/12
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nxchman
21 posts
nxchman
#5 h  Mar 3, 2025, 9:09 PM
Y by
BAM10 wrote:
I'm in 8th grade and have never taken the AMC 10. I am currently in alg2. I have scored 20 on AMC 8 this year and 34 on the chapter math counts last year. Can I qualify for AIME. Also what should I practice AMC 10 next year?

Im in the same boat lol. Im in 8th grade and I never took amc 10, but this year I got 22 on amc 8.
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iwillregretthisnamelater
11 posts
iwillregretthisnamelater
#6 h  Mar 18, 2025, 1:59 AM
Y by
I’m in 6th grade and I got 20 on amc 8 and 38 on chapter and i flunked the amc 10 so hard
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sadas123
1072 posts
sadas123
#7 h  Mar 18, 2025, 2:04 AM
Y by
iwillregretthisnamelater wrote:
I’m in 6th grade and I got 20 on amc 8 and 38 on chapter and i flunked the amc 10 so hard

Same except I am a 6th grader that got 24 on AMC 8 and a 37 on mathcounts chapter :(
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jb2015007
1712 posts
jb2015007
#8 h  Mar 18, 2025, 2:09 AM
Y by
orangebear wrote:
Yeah you can last year I got a 19 on AMC and a 31 on mathcounts chapter and I qualified for AIME.

bruh i got a 51 on AMC 10 and got a 35 on mc chapter
(im better now relax im mocking 90+)
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ChickensEatGrass
26 posts
ChickensEatGrass
#9 h  Mar 18, 2025, 2:19 AM
Y by
I'm an 8th grader and I got 25 on amc8 but only 40 on chapter, I made aime barely this year but I got like problem 4 wrong on 10a :wallbash_red:
so yes with your stats you have a decent chance, just study more and do past mocks, you can find them here on aops.
try to aim for at least 100. This year's cutoff for 10a was really low (94.5) but most years it's higher.
because you are in alg2, I'd recommend doing some geometry because there are several of those problems. maybe also start trig because they can provide faster solutions to them. but alg2 is a good start.
And make sure to not make sillies!!!!!!!!!! but I cant rlly say anything about that because i myself make 100000000 sillies every day :whistling:
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giratina3
445 posts
giratina3
#10 h  Mar 18, 2025, 11:35 AM
Y by
I’m somebody who got 42 on chapter and 21 on AMC8 but didn’t qualify for AIME :stretcher:
This post has been edited 1 time. Last edited by giratina3, Yesterday at 4:56 PM
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hashbrown2009
123 posts
hashbrown2009
#11 h  Mar 18, 2025, 1:54 PM
Y by
Honestly it depends
I qualified for AIME in 5th grade (9th grade now) with 106.5
but that year I got like 16 on AMC8 lol I sold
also I pre-prepped for MathCounts and did mocks
averaged like 36-40
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Andyluo
861 posts
Andyluo
#12 h  Mar 18, 2025, 4:23 PM
Y by
Both completely different skill sets

my scores last year were

AMC 8: 17
chapter: 41 (My MATHCOUNTS skills were more developed)
AMC 10: 81

This year:

AMC 8: 21
Chapter: 43
AMC 10: 135

imo just take mocks + learn the theory from aops
mathdash good too
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BAM10
68 posts
BAM10
#13 h  Mar 18, 2025, 9:39 PM
Y by
thx for the help. I have taken a couple mocks.

2020 10a: 84.5
2020 10b: 99
2021 10a: 87.5

Im finding that I can the first 10-15 pretty easily but I silly a lot a can't get many after #15. How can I help these problems?
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Pengu14
436 posts
Pengu14
#14 h  Mar 18, 2025, 10:10 PM
Y by
BAM10 wrote:
thx for the help. I have taken a couple mocks.

2020 10a: 84.5
2020 10b: 99
2021 10a: 87.5

Im finding that I can the first 10-15 pretty easily but I silly a lot a can't get many after #15. How can I help these problems?

Can you solve the problems with unlimited time? If not, you should probably read AOPS vol 1 since you might be lacking theory.
This post has been edited 1 time. Last edited by Pengu14, Mar 18, 2025, 10:11 PM
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gavinhaominwang
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gavinhaominwang
#15 h  Mar 18, 2025, 10:23 PM
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If you are talking about qualifying for aime this year, anyone that can take the test can qualify for aime. They just have to work hard.
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jkim0656
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jkim0656
#16 h  Mar 18, 2025, 10:46 PM
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lol im in 7thn but i also got 34 on chapter and 20 on the amc8 loll
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UnicornE
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UnicornE
#17 h  Mar 21, 2025, 5:44 PM
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Hello, person
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jkim0656
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jkim0656
#18 h  Yesterday at 4:52 PM
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hi? person?
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