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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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All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 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
9 Will I make JMO?
EaZ_Shadow   15
N 5 minutes ago by orangebear
will I be able to make it... will the cutoffs will be pre-2024
15 replies
EaZ_Shadow
Feb 7, 2025
orangebear
5 minutes ago
Hard geometry
Lukariman   0
33 minutes ago
Given triangle ABC, a line d intersects the sides AB, AC and the line BC at D, E, F respectively.

(a) Prove that the circles circumscribing triangles ADE, BDF and CEF pass through a point P and P belongs to the circumcircle of triangle ABC.

(b) Prove that the centers of the circles circumscribing triangles ADE, BDF, CEF and ABC are all on the circle.

(c) Let $O_a$,$ O_b$, $O_c$ be the centers of the circles circumscribing triangles ADE, BDF, CEF. Prove that the orthocenter of triangle $O_a$$O_b$$O_c$ belongs to d.

(d) Prove that the orthocenters of triangles ADE, ABC, BDF, CEF are collinear.
0 replies
Lukariman
33 minutes ago
0 replies
CGMO5: Carlos Shine's Fact 5
v_Enhance   61
N 43 minutes ago by Adywastaken
Source: 2012 China Girl's Mathematical Olympiad
As shown in the figure below, the in-circle of $ABC$ is tangent to sides $AB$ and $AC$ at $D$ and $E$ respectively, and $O$ is the circumcenter of $BCI$. Prove that $\angle ODB = \angle OEC$.
IMAGE
61 replies
v_Enhance
Aug 13, 2012
Adywastaken
43 minutes ago
Grid combi with T-tetrominos
Davdav1232   1
N an hour ago by NO_SQUARES
Source: Israel TST 8 2025 p1
Let \( f(N) \) denote the maximum number of \( T \)-tetrominoes that can be placed on an \( N \times N \) board such that each \( T \)-tetromino covers at least one cell that is not covered by any other \( T \)-tetromino.

Find the smallest real number \( c \) such that
\[
f(N) \leq cN^2
\]for all positive integers \( N \).
1 reply
Davdav1232
Thursday at 8:29 PM
NO_SQUARES
an hour ago
pqr/uvw convert
Nguyenhuyen_AG   10
N an hour ago by Nguyenhuyen_AG
Source: https://github.com/nguyenhuyenag/pqr_convert
Hi everyone,
As we know, the pqr/uvw method is a powerful and useful tool for proving inequalities. However, transforming an expression $f(a,b,c)$ into $f(p,q,r)$ or $f(u,v,w)$ can sometimes be quite complex. That's why I’ve written a program to assist with this process.
I hope you’ll find it helpful!

Download: pqr_convert

Screenshot:
IMAGE
IMAGE
10 replies
1 viewing
Nguyenhuyen_AG
Apr 19, 2025
Nguyenhuyen_AG
an hour ago
Past USAMO Medals
sdpandit   1
N an hour ago by CatCatHead
Does anyone know where to find lists of USAMO medalists from past years? I can find the 2025 list on their website, but they don't seem to keep lists from previous years and I can't find it anywhere else. Thanks!
1 reply
sdpandit
Thursday at 7:44 PM
CatCatHead
an hour ago
interesting functional
Pomegranat   2
N an hour ago by Pomegranat
Source: I don't know sorry
Find all functions \( f : \mathbb{R}^+ \to \mathbb{R}^+ \) such that for all positive real numbers \( x \) and \( y \), the following equation holds:
\[
\frac{x + f(y)}{x f(y)} = f\left( \frac{1}{y} + f\left( \frac{1}{x} \right) \right)
\]
2 replies
Pomegranat
3 hours ago
Pomegranat
an hour ago
Function equation algebra
TUAN2k8   1
N an hour ago by TUAN2k8
Source: Balkan MO 2025
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that for all $x \in \mathbb{R}$ and $y \in \mathbb{R}$,
\begin{align}
f(x+yf(x))+y=xy+f(x+y).
\end{align}
1 reply
TUAN2k8
2 hours ago
TUAN2k8
an hour ago
Functional equation with a twist (it's number theory)
Davdav1232   1
N an hour ago by NO_SQUARES
Source: Israel TST 8 2025 p2
Prove that for all primes \( p \) such that \( p \equiv 3 \pmod{4} \) or \( p \equiv 5 \pmod{8} \), there exist integers
\[
1 \leq a_1 < a_2 < \cdots < a_{(p-1)/2} < p
\]such that
\[
\prod_{\substack{1 \leq i < j \leq (p-1)/2}} (a_i + a_j)^2 \equiv 1 \pmod{p}.
\]
1 reply
+1 w
Davdav1232
Thursday at 8:32 PM
NO_SQUARES
an hour ago
Coolabra
Titibuuu   3
N 2 hours ago by sqing
Let \( a, b, c \) be distinct real numbers such that
\[
a + b + c + \frac{1}{abc} = \frac{19}{2}
\]Find the maximum possible value of \( a \).
3 replies
Titibuuu
Today at 2:21 AM
sqing
2 hours ago
Is the result of this is the same as cauchy?
ItzsleepyXD   0
2 hours ago
Source: curiosity
Prove or disprove that for all continuous or monotonic function $f : \mathbb{R}^2 \to \mathbb{R}$ .The solution to $$f(a,x)+f(b,y)=f(a+b,x+y) \text{ for all }a,b,x,y \in \mathbb{R}$$is only $f(x,y)=cx+dy$ for some $c,d \in \mathbb{R}$
0 replies
ItzsleepyXD
2 hours ago
0 replies
a fractions problem
kjhgyuio   1
N 2 hours ago by Ash_the_Bash07
.........
1 reply
kjhgyuio
3 hours ago
Ash_the_Bash07
2 hours ago
An FE. Who woulda thunk it?
nikenissan   116
N 4 hours ago by anudeep
Source: 2021 USAJMO Problem 1
Let $\mathbb{N}$ denote the set of positive integers. Find all functions $f : \mathbb{N} \rightarrow \mathbb{N}$ such that for positive integers $a$ and $b,$ \[f(a^2 + b^2) = f(a)f(b) \text{ and } f(a^2) = f(a)^2.\]
116 replies
nikenissan
Apr 15, 2021
anudeep
4 hours ago
usamOOK geometry
KevinYang2.71   106
N Yesterday at 11:54 PM by jasperE3
Source: USAMO 2025/4, USAJMO 2025/5
Let $H$ be the orthocenter of acute triangle $ABC$, let $F$ be the foot of the altitude from $C$ to $AB$, and let $P$ be the reflection of $H$ across $BC$. Suppose that the circumcircle of triangle $AFP$ intersects line $BC$ at two distinct points $X$ and $Y$. Prove that $C$ is the midpoint of $XY$.
106 replies
KevinYang2.71
Mar 21, 2025
jasperE3
Yesterday at 11:54 PM
How to get good at comp math
fossasor   28
N May 1, 2025 by Konigsberg
I'm a rising ninth grader who wasn't in the school math league this year, and basically put aside comp math for a year. Unfortunately, that means that now that I'm in high school and having the epiphany about how important comp math actually is, and how much it would help my chances of getting involved in other math-related programs. In addition, I do enjoy math in general, and suspect that things like the AMCs are probably going to be some of the best practice I can get. What this all means is that I'm trying to go from mediocre to orz, 2 years after I probably should have started if I wanted to be any good.

So my question is: how do I get good at comp math?

This year, my scores on AMC 10 (and these are the highest I've ever gotten) were a 73.5 and an 82.5 (AMC 8 was 21/25, but that doesn't matter much). This is not good enough to qualify for AIME, and I probably need to raise my performance on each by at least 10 points. I've been decently good in the past at Number Theory, but I need to work on Geo and Combinatorics, and I'm trying to find the best resources to do that. My biggest flaw is probably not knowing many algorithms like Stars and Bars, and the path is clear here (learn them) but I'm still not sure which ones I need to know.

I'm aware that some of this advice is going to be something like "Practice 5 hours a day and start hardgrinding" or something along those lines. Unfortunately, I have other extracurriculars I need to balance, and for me, time is a limiting resource. My parents are somewhat frowning upon me doing a lot of comp math, which limits my time as well. I have neither the time nor motivation to do more than an hour a day, and in practice, I don't think I can be doing that consistently. As such, I would need to make that time count.

I know this is a very general question, and that aops is chock-full of detailed advice for math competitions. However, I'd appreciate it if anyone here could help me out, or show me the best resources I should use to get started. What mocks are any good, or what textbooks should I use? Where do I get the best practice with the shortest time? Is there some place I can find a list of useful formulas that have appeared in math comps before?

All advice is welcome!

28 replies
fossasor
Apr 10, 2025
Konigsberg
May 1, 2025
How to get good at comp math
G H J
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fossasor
603 posts
#1 • 6 Y
Y by LostInBali, Pengu14, aidan0626, Alex-131, Aaron_Q, pi-ay
I'm a rising ninth grader who wasn't in the school math league this year, and basically put aside comp math for a year. Unfortunately, that means that now that I'm in high school and having the epiphany about how important comp math actually is, and how much it would help my chances of getting involved in other math-related programs. In addition, I do enjoy math in general, and suspect that things like the AMCs are probably going to be some of the best practice I can get. What this all means is that I'm trying to go from mediocre to orz, 2 years after I probably should have started if I wanted to be any good.

So my question is: how do I get good at comp math?

This year, my scores on AMC 10 (and these are the highest I've ever gotten) were a 73.5 and an 82.5 (AMC 8 was 21/25, but that doesn't matter much). This is not good enough to qualify for AIME, and I probably need to raise my performance on each by at least 10 points. I've been decently good in the past at Number Theory, but I need to work on Geo and Combinatorics, and I'm trying to find the best resources to do that. My biggest flaw is probably not knowing many algorithms like Stars and Bars, and the path is clear here (learn them) but I'm still not sure which ones I need to know.

I'm aware that some of this advice is going to be something like "Practice 5 hours a day and start hardgrinding" or something along those lines. Unfortunately, I have other extracurriculars I need to balance, and for me, time is a limiting resource. My parents are somewhat frowning upon me doing a lot of comp math, which limits my time as well. I have neither the time nor motivation to do more than an hour a day, and in practice, I don't think I can be doing that consistently. As such, I would need to make that time count.

I know this is a very general question, and that aops is chock-full of detailed advice for math competitions. However, I'd appreciate it if anyone here could help me out, or show me the best resources I should use to get started. What mocks are any good, or what textbooks should I use? Where do I get the best practice with the shortest time? Is there some place I can find a list of useful formulas that have appeared in math comps before?

All advice is welcome!
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mathkidAP
53 posts
#2
Y by
as a person who is in effectively the exact same situation, i will grind mathdash when i can and finish vol 1 and the intro series. that probably could work for u but try to find a balance.
Z K Y
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Andyluo
962 posts
#3
Y by
I was in a similar situation to you in 7th grade, though probably a lot more time. (I went from 81-135 or 46.5 to 135 since it sounds more impressive)

Take advantage of the summer, Mathdash is good (or even premium) and could be very helpful, especially since it helps you learn many simple "tricks".

Alcumus and the AOPS library are also useful for many small tricks and rigorous practicing on the AOPS mock contest forum.

https://artofproblemsolving.com/community/c594864t179f594864h3441744_77_amc_10_41_amc_12_and_other_mocks_compiled_in_google_drive_folder (GOLDMINE)
Z K Y
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programjames1
3046 posts
#4
Y by
Yufei Zhao (the MIT professor that runs their Putnam seminar) has some book recommendations here:
Yufei Zhao wrote:
Book recommendations
Here are some of my book recommendations for preparing for math competitions, in roughly increasing levels of difficulty.

Introductory
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 1: the Basics
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 2: and Beyond
  • Zeitz, The Art and Craft of Problem Solving

Advanced
  • Engel, Problem Solving Strategies
  • Andreescu and Enescu, Mathematical Olympiad Treasures
  • Andreescu and Gelca, Mathematical Olympiad Challenges
  • Andreescu and Dospinescu, Problems from the Book
  • Andreescu and Dospinescu, Straight from the Book
  • Djukić et al., The IMO Compendium (complete collection of IMO shortlist problems)

I would also recommend Andreescu and Gelca, Putnam and Beyond.
Z K Y
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fossasor
603 posts
#5
Y by
Thank you for the advice! I've just made a mathdash account, I'm gonna get started with that.
Z K Y
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fossasor
603 posts
#6
Y by
programjames1 wrote:
Yufei Zhao (the MIT professor that runs their Putnam seminar) has some book recommendations here:
Yufei Zhao wrote:
Book recommendations
Here are some of my book recommendations for preparing for math competitions, in roughly increasing levels of difficulty.

Introductory
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 1: the Basics
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 2: and Beyond
  • Zeitz, The Art and Craft of Problem Solving

Advanced
  • Engel, Problem Solving Strategies
  • Andreescu and Enescu, Mathematical Olympiad Treasures
  • Andreescu and Gelca, Mathematical Olympiad Challenges
  • Andreescu and Dospinescu, Problems from the Book
  • Andreescu and Dospinescu, Straight from the Book
  • Djukić et al., The IMO Compendium (complete collection of IMO shortlist problems)

I would also recommend Andreescu and Gelca, Putnam and Beyond.

This looks useful. Right now, my immediate goal is making AIME: which ones would you say would be best to use for that?
Z K Y
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Pengu14
610 posts
#7
Y by
fossasor wrote:
programjames1 wrote:
Yufei Zhao (the MIT professor that runs their Putnam seminar) has some book recommendations here:
Yufei Zhao wrote:
Book recommendations
Here are some of my book recommendations for preparing for math competitions, in roughly increasing levels of difficulty.

Introductory
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 1: the Basics
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 2: and Beyond
  • Zeitz, The Art and Craft of Problem Solving

Advanced
  • Engel, Problem Solving Strategies
  • Andreescu and Enescu, Mathematical Olympiad Treasures
  • Andreescu and Gelca, Mathematical Olympiad Challenges
  • Andreescu and Dospinescu, Problems from the Book
  • Andreescu and Dospinescu, Straight from the Book
  • Djukić et al., The IMO Compendium (complete collection of IMO shortlist problems)

I would also recommend Andreescu and Gelca, Putnam and Beyond.

This looks useful. Right now, my immediate goal is making AIME: which ones would you say would be best to use for that?

Volume 1 along with a ton of past tests and mocks should suffice.
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wittyellie
266 posts
#8
Y by
heeeyyyy im at the same situation here :blush:
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fossasor
603 posts
#9
Y by
wittyellie wrote:
heeeyyyy im at the same situation here :blush:

apparently this is more common than I thought lol

Currently working on some Mock AMC10s (untimed since it's late at night for me and I need to go to bed soon)

Thank you to everyone for your advice!
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Inaaya
355 posts
#10
Y by
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10
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fossasor
603 posts
#11
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Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

we should start a club lol
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NoSignOfTheta
1740 posts
#12
Y by
Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

You... didn't qualify for the AMC 10?
This post has been edited 1 time. Last edited by NoSignOfTheta, Apr 10, 2025, 1:34 PM
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Inaaya
355 posts
#13
Y by
NoSignOfTheta wrote:
Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

You... didn't qualify for the AMC 10?

yeah you can put it that way
we cannot take the amc 10 at our middle school so we contacted another testing center which flat out said that i needed to take extracurricular classes there to even be able to register
also my dad just straight up said im too stupid lol
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Runner1600
12 posts
#14
Y by
Inaaya wrote:
NoSignOfTheta wrote:
Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

You... didn't qualify for the AMC 10?

yeah you can put it that way
we cannot take the amc 10 at our middle school so we contacted another testing center which flat out said that i needed to take extracurricular classes there to even be able to register
also my dad just straight up said im too stupid lol


I'm pretty sure that the high school in your district will offer the AMC 10 or 12. Or even a university near you, that is what I did.
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Inaaya
355 posts
#15
Y by
Runner1600 wrote:
I'm pretty sure that the high school in your district will offer the AMC 10 or 12. Or even a university near you, that is what I did.
No, my high school wouldn't let me take it there unless i was a student at the high school
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Pengu14
610 posts
#16
Y by
Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

This was me two years ago
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pingpongmerrily
3635 posts
#17
Y by
Inaaya wrote:
Runner1600 wrote:
I'm pretty sure that the high school in your district will offer the AMC 10 or 12. Or even a university near you, that is what I did.
No, my high school wouldn't let me take it there unless i was a student at the high school

if you're near an RSM you could try taking it there
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Runner1600
12 posts
#19
Y by
Inaaya wrote:
Runner1600 wrote:
I'm pretty sure that the high school in your district will offer the AMC 10 or 12. Or even a university near you, that is what I did.
No, my high school wouldn't let me take it there unless i was a student at the high school

Or you can take it at UCLA
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Inaaya
355 posts
#20
Y by
pingpongmerrily wrote:
Inaaya wrote:
Runner1600 wrote:
I'm pretty sure that the high school in your district will offer the AMC 10 or 12. Or even a university near you, that is what I did.
No, my high school wouldn't let me take it there unless i was a student at the high school

if you're near an RSM you could try taking it there

theres a weird rundown building called ICAE where apparently all the smart kids in MI take classes and comps and stuff, but i think you need a membership to even participate in anything there
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gamerlegend
2 posts
#21
Y by
solve more problem!
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mathkidAP
53 posts
#22
Y by
fossasor wrote:
Inaaya wrote:
BRO IM IN THE SAME SITUATION EXCEPT I GOT 16 ON THE AMC 8 AND WAS TOO DUMB TO BE ALLOWED TO TAKE AMC 10

we should start a club lol
call it the mediocre mid middle schoolers or smth
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N3bula
271 posts
#23
Y by
programjames1 wrote:
Yufei Zhao (the MIT professor that runs their Putnam seminar) has some book recommendations here:
Yufei Zhao wrote:
Book recommendations
Here are some of my book recommendations for preparing for math competitions, in roughly increasing levels of difficulty.

Introductory
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 1: the Basics
  • Lehoczky and Rusczyk, The Art of Problem Solving, Volume 2: and Beyond
  • Zeitz, The Art and Craft of Problem Solving

Advanced
  • Engel, Problem Solving Strategies
  • Andreescu and Enescu, Mathematical Olympiad Treasures
  • Andreescu and Gelca, Mathematical Olympiad Challenges
  • Andreescu and Dospinescu, Problems from the Book
  • Andreescu and Dospinescu, Straight from the Book
  • Djukić et al., The IMO Compendium (complete collection of IMO shortlist problems)

I would also recommend Andreescu and Gelca, Putnam and Beyond.
Although these are good books they are all proof based, too hard and overall pointless at this stage
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akliu
1800 posts
#24
Y by
For qualifying for AIME specifically, I recommend looking at the Mock AMC page on the AoPSwiki and using the tests there for practice. Yes, these tests will probably vary a ton in difficulty and include some low quality problems, but I generally found them helpful for timing and improving my performance as a whole. I used past years' AMC tests sparingly; they're the actual stuff and you can only really mock a test once.
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fossasor
603 posts
#25
Y by
Now actively using my mathdash account.

Did an AMC10 and got all 5 problems right, but those are generally a bad indicator, so I'm going to start taking so bigger mocks later this week.
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Cha0s
2 posts
#26
Y by
goodluck man, im in a similar boat
my amc 8 scores was 14 and 15 and my amc 10 score was like. 50
however both were on a whim, meaning i 1. didnt study and 2. had no idea what to expect
going into my sophomore year I am trying to grind super hard to catch up haha, flipping through the textbooks rn and taking notes + mathdash + mocks, basically doing what y'all are doing :)
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fossasor
603 posts
#27
Y by
Oh my raspberries I just checked and I had somehow misremembered my scores.

82.5 wasn't my AMC10A score, it was my AMC10B score.
Likewise, 92.5 wasn't my AMC10B score, it was the cutoff for the 10A, except misremembered by me as lower than it actually was.
Just mocked a 75 on the AMC10A, so that means I'm going to need to gain like 24 points, not 15.

Grinding time :|
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BS2012
1036 posts
#28
Y by
Its possible to do a lot in comp math in 2 yrs and with enough prep you could make jmo

For starters you should read volume 1/introduction books for some basic theory, and then do problems. This is the most important step since it allows you to practice the problem solving skills needed for AMC final 10 problems and allows you to pick up some more theory while reading solutions. This will probably be the main way you learn more theory beyond the intro books.
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gavinhaominwang
92 posts
#29
Y by
How do I go from aime to jmo/amo (computational to prove)?
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Konigsberg
2225 posts
#31
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To the OP: Not to recommend my self-written guide too often, but I think it's a good reference in respond to both generic and more specific queries: https://tinyurl.com/ContestGuideIntlGDrive.

A score of in the 70-80s on the AMC10 would probably be A1/A2-junior level.
Cha0s wrote:
goodluck man, im in a similar boat
my amc 8 scores was 14 and 15 and my amc 10 score was like. 50
however both were on a whim, meaning i 1. didnt study and 2. had no idea what to expect
going into my sophomore year I am trying to grind super hard to catch up haha, flipping through the textbooks rn and taking notes + mathdash + mocks, basically doing what y'all are doing :)

This is CL-A1 level, might be best to first ensure that you master school curriculum math.
gavinhaominwang wrote:
How do I go from aime to jmo/amo (computational to prove)?

See resources in the C1-C2 level, which is the borderline of computational and proof contests.
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