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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!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
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0 replies
jlacosta
Mar 2, 2025
0 replies
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
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
MATHCOUNTS on ESPN
rrusczyk   19
N 2 minutes ago by PojoDotCom
ESPN noon EST - the Countdown round of Nationals.

(Disclaimer: yours truly is an 'analyst' for the broadcast.)
19 replies
rrusczyk
May 27, 2003
PojoDotCom
2 minutes ago
Mathcounts STRATEGIES
Existing_Human1   2
N 8 minutes ago by mathelvin
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
2 replies
Existing_Human1
28 minutes ago
mathelvin
8 minutes ago
Factoring Marathon
pican   1428
N 23 minutes ago by kamuii
Hello guys,
I think we should start a factoring marathon. Post your solutions like this SWhatever, and your problems like this PWhatever. Please make your own problems, and I'll start off simple: P1
1428 replies
pican
Aug 4, 2015
kamuii
23 minutes ago
Combi counting
Caasi_Gnow   1
N 29 minutes ago by franklin2013
Find the number of different ways to arrange seven people around a circular meeting table if A and B must sit together and C and D cannot sit next to each other. (Note: the order for A and B might be A,B or B,A)
1 reply
Caasi_Gnow
Today at 7:39 AM
franklin2013
29 minutes ago
Incircle
PDHT   0
2 hours ago
Source: Nguyen Minh Ha
Given a triangle \(ABC\) that is not isosceles at \(A\), let \((I)\) be its incircle, which is tangent to \(BC, CA, AB\) at \(D, E, F\), respectively. The lines \(DE\) and \(DF\) intersect the line passing through \(A\) and parallel to \(BC\) at \(M\) and \(N\), respectively. The lines passing through \(M, N\) and perpendicular to \(MN\) intersect \(IF\) and \(IE\) at \(Q\) and \(P\), respectively.

Prove that \(D, P, Q\) are collinear and that \(PF, QE, DI\) are concurrent.
0 replies
PDHT
2 hours ago
0 replies
Surprisingly low answer to the question what is the maximum
mshtand1   2
N 2 hours ago by sarjinius
Source: Ukrainian Mathematical Olympiad 2025. Day 2, Problem 8.6, 10.5
Given $2025$ positive integer numbers such that the least common multiple (LCM) of all these numbers is not a perfect square. Mykhailo consecutively hides one of these numbers and writes down the LCM of the remaining $2024$ numbers that are not hidden. What is the maximum number of the $2025$ written numbers that can be perfect squares?

Proposed by Oleksii Masalitin
2 replies
mshtand1
Mar 13, 2025
sarjinius
2 hours ago
Functional Equation
AnhQuang_67   5
N 2 hours ago by megarnie
Find all functions $f:\mathbb{R} \to \mathbb{R}$ satisfying: $$f(xf(y)+2y)=f(f(y))+f(xy)+xf(y), \forall x, y \in \mathbb{R}$$
5 replies
AnhQuang_67
4 hours ago
megarnie
2 hours ago
hard ............ (2)
Noname23   1
N 2 hours ago by Amkan2022
problem
1 reply
Noname23
3 hours ago
Amkan2022
2 hours ago
Fun issue about Euler’s function
luutrongphuc   2
N 3 hours ago by vi144
Let $p$ is a prime number and $n,\alpha$ are positive integers. Prove that there exist infinitely $a$ such that $\phi(a),\phi(a+1),…,\phi(a+n)$ are divisible by $p^{\alpha}$
2 replies
luutrongphuc
Today at 11:27 AM
vi144
3 hours ago
Inequality with Mobius function and sum of divisors
Zhero   6
N 3 hours ago by allaith.sh
Source: ELMO Shortlist 2010, N1
For a positive integer $n$, let $\mu(n) = 0$ if $n$ is not squarefree and $(-1)^k$ if $n$ is a product of $k$ primes, and let $\sigma(n)$ be the sum of the divisors of $n$. Prove that for all $n$ we have
\[\left|\sum_{d|n}\frac{\mu(d)\sigma(d)}{d}\right| \geq \frac{1}{n}, \]
and determine when equality holds.

Wenyu Cao.
6 replies
Zhero
Jul 5, 2012
allaith.sh
3 hours ago
Prime math
shlesto_mojumder   0
3 hours ago
Source: Own
Let ${{6n+1}}_{n>0}$ be a sequance of natural integers. Proof that, any number in the sequance can be written only as $p$ or $p'^k$
or $p_1p_2p_3.......p_i$ for any $i,k$ and not necessarily distinct primes $p_m$ for $0<m<i+1$. And $p$ and $p'$ are same in some case.
0 replies
shlesto_mojumder
3 hours ago
0 replies
Thanks u!
Ruji2018252   2
N 3 hours ago by InterLoop
Find all f: R->R and
\[2^{xy}f(xy-1)+2^{x+y+1}f(x)f(y)=4xy-2,\forall x,y\in\mathbb{R}\]
2 replies
Ruji2018252
5 hours ago
InterLoop
3 hours ago
Time to bring it on!
giangtruong13   1
N 3 hours ago by mathlove_13520
Source: New probs
Prove that the equation $$x^2+y^2-z^2+2=xyz$$has no integer solutions
1 reply
giangtruong13
5 hours ago
mathlove_13520
3 hours ago
Taking Coins (NT Combi)
live4math   4
N 4 hours ago by CHESSR1DER
Players $A$ and $B$ play a game with a stack of $n$ coins. Beginning with $A$, each player takes turns to choose a prime $p$ and remove $p-1$ coins from the stack. The player who takes the last coin wins. Prove that there are infinitely many integers $n$ such that $B$ has a winning strategy.
4 replies
live4math
Mar 15, 2025
CHESSR1DER
4 hours ago
AMC 8 Help
krish6_9   29
N Today at 3:56 AM by jkim0656
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better
29 replies
krish6_9
Mar 17, 2025
jkim0656
Today at 3:56 AM
AMC 8 Help
G H J
G H BBookmark kLocked kLocked NReply
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krish6_9
18 posts
#1
Y by
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better
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krish6_9
18 posts
#2
Y by
PLEASE HELP why am i being ignored... :(
This post has been edited 2 times. Last edited by krish6_9, Mar 18, 2025, 12:25 AM
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MathRook7817
614 posts
#3 • 1 Y
Y by krish6_9
I think if you keep working hard, you can probably make it by 6 or 7
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sadas123
1065 posts
#4 • 1 Y
Y by krish6_9
Take AOPS Classes first take prealgebra this year and then in 4th and 5th read the whole Introductory Series and classes. 6th finish up the intermediate series and finish pre calc. 7th just grind mathcounst even more. 8th grade you prob will have made it.
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krish6_9
18 posts
#5
Y by
MathRook7817 wrote:
I think if you keep working hard, you can probably make it by 6 or 7

oh ok. i mean i can probably do that but ill have to work hard and become ethan who is very orz and goated
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Schintalpati
581 posts
#6
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

Both are possible for sure. Just grind past tests and alcumus for now.
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krish6_9
18 posts
#7
Y by
o ok. thank you
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Inaaya
189 posts
#8
Y by
A 12 on amc 8 in 3rd grade is amazing! How strong is your prealgebra background?
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Andyluo
852 posts
#9
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

12 on amc 8 in 3rd grade shows us nothing, you could literally be your average accelerate math student or the next imo medalist
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sadas123
1065 posts
#10
Y by
Andyluo wrote:
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

12 on amc 8 in 3rd grade shows us nothing, you could literally be your average accelerate math student or the next imo medalist

true just matters how much hard work you put in to get your goals.
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krish6_9
18 posts
#11
Y by
Andyluo wrote:
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

12 on amc 8 in 3rd grade shows us nothing, you could literally be your average accelerate math student or the next imo medalist

well could you give me some tips? i think its pretty good... and i think i will want to work hard (i did a lot of math today in fact :D)



also im about 3/4 through prealgebra, i did part of a chapter today
This post has been edited 1 time. Last edited by krish6_9, Mar 18, 2025, 12:26 AM
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giratina3
435 posts
#12
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

We don't really have a general idea over you... I feel like we don't know much about you and how you're progressing over the years. I would say that you're 3rd grade... so you're pretty young. Mathcounts nationals in 6th is gonna be a doozy, but if you study hard enough, 7th grade might be possible. But take this with a grain of salt because I have absolutely no idea how you're progressing or getting better at math.

As of @above... that's amazing! The fact that you're 3/4 through Prealgebra is a really good sign. I finished Prealgebra in 5th grade and I nearly made nationals this year (7th grade btw)! (Sillied 2 problems so we don't talk about that :stretcher:)
This post has been edited 1 time. Last edited by giratina3, Mar 18, 2025, 1:01 AM
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Alex_Yang
420 posts
#13
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

look to be honest there is no way i can possibly predict what you can achieve in 3 years or 7 years since ur only at 3rd grade

what this means is that everything is possible and it really just depends on how much effort ur willing to put in
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pingpongmerrily
3502 posts
#14
Y by
12 on the amc 8 in third grade is crazy work

why are you on aops at age 9 help
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giangtruong13
72 posts
#15
Y by
Man hes cooking on AMC
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sadas123
1065 posts
#16
Y by
pingpongmerrily wrote:
12 on the amc 8 in third grade is crazy work

why are you on aops at age 9 help

I know a first grader that scored a 20 on this years AMC 8 I am not even joking, he mocked the 2024 AMC 10 A and he got a 91.5 and he mocked the 2024 AMC 10 B and got a 103.5. He also mocked the AIME I and he got a 2 :skull
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sadas123
1065 posts
#17
Y by
or he was a 2nd grader I forgot but he was 1st or 2nd.
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huajun78
26 posts
#18
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

3rd grade's pretty early, so I think you have a good chance.

Once you finish prealgebra you could look at the AoPS introductory books, including Intro to Counting & Probability, Geometry, Algebra, and Number Theory (you should probably start with algebra and geometry). Personally I think they provide great foundational knowledge for topics in competition math.

AoPS classes are also good and come with some extra benefits (message board, weekly lectures, etc), but they're more costly.
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greenplanet2050
1282 posts
#19
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

if you try your best then its possible

ik a dude who qualified for usamo at 7th grade and he got a 150 on the 2024 amc 12b
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nmlikesmath
412 posts
#20
Y by
greenplanet2050 wrote:
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

if you try your best then its possible

ik a dude who qualified for usamo at 7th grade and he got a 150 on the 2024 amc 12b

that's tuff
rn I'm in 8th gr and on 12b I cant get more than like a 95
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Andyluo
852 posts
#21
Y by
krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

let's set realistic goals, there's about 20 spots for MOP, and realistically you have to be t16 in the country for under 10th grade due to other factors being considered. Even qualifying for AIME takes considerable effort, and qualifying for USAJMO is much more difficult. Then out of that small group you have to solve four questions in USAJMO.

If you're a genius you could make it by 6th grade, but I don't think its realistic, and I also think you should spend that much time on math at such a young age

Mathcounts Nationals could be realistic, depending on your state, if you're in texas you might be cooked, if you're in a worse state its much easier.
This post has been edited 1 time. Last edited by Andyluo, Yesterday at 12:02 PM
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krish6_9
18 posts
#22
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uhh i literally said im in new jersey dude
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SpeedCuber7
1761 posts
#23
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krish6_9 wrote:
uhh i literally said im in new jersey dude

fwih NJ is semicompetitive you can make nats
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ethan2011
221 posts
#24
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krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

You should read textbooks written by Richard Rusczyk to get better at computational questions, and start mocking AMC 10's to expand your knowledge on harder questions(and increase your speed and accuracy). Since you're so young, you also have the time to build a good base. 3rd grade is a very early time to start math comps(I started in 6th :noo: ). I would also highly recommend taking Helen Yang's classes(almost all NJ ppl have gone through her, with the exceptions of dotted and advait).
I wish you good luck in your math comp journey! Also, most importantly, have fun!

SpeedCuber7 wrote:
krish6_9 wrote:
uhh i literally said im in new jersey dude

fwih NJ is semicompetitive you can make nats

NJ was more competitive then TX and MA this year fun fact.
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DearPrince
1259 posts
#25
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krish6_9 wrote:
Hey guys
im in new jersey a third grader who got 12 on amc 8. I want to make mop in high school and mathcounts nationals in 6th grade is that realistic how should I get better

3rd grade and you get 12 on amc8 is great

protip: before 6th grade make sure you move to another state

because new jersey is WAY too competitive
i suggest new hampshire or smth like that
i qualed for nats this yr in nh and im in 7th grade

also protip: you better pray you study hard enough to get to mop in hs
ethan2011 wrote:
I would also highly recommend taking Helen Yang's classes(almost all NJ ppl have gone through her, with the exceptions of dotted and advait).

W suggestion bc im planning on taking incubator m102 like this year/next year and uh shes really good at training for math comps

make sure you have a solid foundation in algebra, c&p, number theory, and (especially) geometry before taking the first of her classes(incubator m101)
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jkim0656
296 posts
#26
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mc nats in 6th is a great goal and totally achievable, especially if u live in the right state and get a 12 on the amc8 in 3rd grade
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jkim0656
296 posts
#27
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maybe not the most realistic, but def worth trying tho
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ethan2011
221 posts
#28
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DearPrince wrote:
protip: before 6th grade make sure you move to another state

because new jersey is WAY too competitive
i suggest new hampshire or smth like that
i qualed for nats this yr in nh and im in 7th grade
Advait qualled in 6th, and qualled again in 7th this year.
There is no point in moving to another state, given how much that can cost, and if he works hard, he will be capable of making it in 6th.
NJ was uncompetitive in both 2023 and 2024 in my opinion.
This post has been edited 1 time. Last edited by ethan2011, Today at 3:22 AM
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mathelvin
34 posts
#29
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Moving to another state is way too much in my opinion for Mathcounts
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jkim0656
296 posts
#30
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ethan2011 wrote:
DearPrince wrote:
protip: before 6th grade make sure you move to another state

because new jersey is WAY too competitive
i suggest new hampshire or smth like that
i qualed for nats this yr in nh and im in 7th grade
Advait qualled in 6th, and qualled again in 7th this year.
There is no point in moving to another state, given how much that can cost, and if he works hard, he will be capable of making it in 6th.
NJ was uncompetitive in both 2023 and 2024 in my opinion.
i agree. New jersey isn't really that competitive due to the small population and general inhabitants...
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