We have your learning goals covered with Spring and Summer courses available. Enroll today!

Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
G
Topic
First Poster
Last Poster
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.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

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]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Sunday, Mar 2 - Jun 22
Friday, Mar 28 - Jul 18
Sunday, Apr 13 - Aug 10
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Tuesday, Mar 25 - Jul 8
Sunday, Apr 13 - Aug 10
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21


Introduction to Algebra A Self-Paced

Introduction to Algebra A
Sunday, Mar 23 - Jul 20
Monday, Apr 7 - Jul 28
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Sunday, Mar 16 - Jun 8
Wednesday, Apr 16 - Jul 2
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Monday, Mar 17 - Jun 9
Thursday, Apr 17 - Jul 3
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Sunday, Mar 2 - Jun 22
Wednesday, Apr 16 - Jul 30
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Tuesday, Mar 4 - Aug 12
Sunday, Mar 23 - Sep 21
Wednesday, Apr 23 - Oct 1
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
Monday, Apr 21 - Oct 13
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Sunday, Mar 23 - Aug 3
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Friday, Apr 11 - Jun 27
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Sunday, Mar 16 - Aug 24
Wednesday, Apr 9 - Sep 3
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Wednesday, Mar 5 - May 21
Tuesday, Jun 10 - Aug 26

Calculus
Sunday, Mar 30 - Oct 5
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!


MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Monday, Mar 24 - Jun 16
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Sunday, Mar 30 - Jun 22
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Tuesday, Mar 25 - Sep 2
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
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
Eventually constant sequence with condition
PerfectPlayer   0
36 minutes ago
Source: Turkey TST 2025 Day 3 P8
A positive real number sequence $a_1, a_2, a_3,\dots $ and a positive integer \(s\) is given.
Let $f_n(0) = \frac{a_n+\dots+a_1}{n}$ and for each $0<k<n$
\[f_n(k)=\frac{a_n+\dots+a_{k+1}}{n-k}-\frac{a_k+\dots+a_1}{k}\]Then for every integer $n\geq s,$ the condition
\[a_{n+1}=\max_{0\leq k<n}(f_n(k))\]is satisfied. Prove that this sequence must be eventually constant.
0 replies
PerfectPlayer
36 minutes ago
0 replies
Number of modular sequences with different residues
PerfectPlayer   0
an hour ago
Source: Turkey TST 2025 Day 3 P9
Let \(n\) be a positive integer. For every positive integer $1 \leq k \leq n$ the sequence ${\displaystyle {\{ a_{i}+ki\}}_{i=1}^{n }}$ is defined, where $a_1,a_2, \dots ,a_n$ are integers. Among these \(n\) sequences, for at most how many of them does all the elements of the sequence give different remainders when divided by \(n\)?
0 replies
PerfectPlayer
an hour ago
0 replies
Find max no. of gangsters
sk2005   4
N an hour ago by flower417477
In Chicago, there are 36 criminal gangs, some of which are at war with
each other. Each gangster belongs to several gangs and every pair of gangsters
belongs to a different set of gangs. It is known that no gangster is a member of
two gangs which are at war with each other. Furthermore, each gang that some
gangster does not belong to is at war with some gang he does belong to. What is
the largest possible number of gangsters in Chicago?
4 replies
sk2005
Sep 13, 2021
flower417477
an hour ago
super duper ez radax problem
iStud   1
N an hour ago by MathLuis
Source: Monthly Contest KTOM March 2025 P1 Essay
Given an acute triangle $ABC$ with $BC<AB<AC$. Points $D$ and $E$ are on $AB$ and $AC$ respectively such that $DB=BC=CE$. Lines $CD$ and $BE$ meet at $F$. $I$ is the incenter of $\triangle{ABC}$ and $H$ is the orthocenter of $\triangle{DEF}$. $\omega_b$ and $\omega_c$ are circles with diameter $BD$ and $CE$, respectively, intersecting each other at points $X$ and $Y$. Prove that $I$ and $H$ lie on $XY$.

Hint
1 reply
iStud
an hour ago
MathLuis
an hour ago
[Registration Open] Mustang Math Tournament 2025
MustangMathTournament   31
N an hour ago by ethan2011
Mustang Math is excited to announce that registration for our annual tournament, MMT 2025, is open! This year, we are bringing our tournament to 9 in-person locations, as well as online!

Locations include: Colorado, Norcal, Socal, Georgia, Illinois, Massachusetts, New Jersey, Nevada, Washington, and online. For registration and more information, check out https://mustangmath.com/competitions/mmt-2025.

MMT 2025 is a math tournament run by a group of 150+ mathematically experienced high school and college students who are dedicated to providing a high-quality and enjoyable contest for middle school students. Our tournament centers around teamwork and collaboration, incentivizing students to work with their teams not only to navigate the challenging and interesting problems of the tournament but also to develop strategies to master the unique rounds. This includes a logic puzzle round, a strategy-filled hexes round, a race-like gallop round, and our trademark ‘Mystery Mare’ round!

Awards:
[list]
[*] Medals for the top teams
[*] Shirts, pins, stickers and certificates for all participants
[*] Additional awards provided by our wonderful sponsors!
[/list]

We are also holding a free MMT prep seminar from 3/15-3/16 to help students prepare for the upcoming tournament. Join the Google Classroom! https://classroom.google.com/c/NzQ5NDUyNDY2NjM1?cjc=7sogth4
31 replies
MustangMathTournament
Mar 8, 2025
ethan2011
an hour ago
how do we find a construction?
iStud   0
an hour ago
Source: Monthly Contest KTOM March 2025 P4 Essay
Given a chess board $n\times n$ with $n>3$ with all the unit squares are initially white coloured. Every move, we can turn the color (from white to black or otherwise) from the 5 unit squares that form this T-pentomino which can be rotated or reflexed (see the image below). Determine all natural numbers $n$ such that all unit squares on the board can be made into all black after a finite number of moves.
0 replies
iStud
an hour ago
0 replies
unnecessary wrapped FE on Q
iStud   0
an hour ago
Source: Monthly Contest KTOM March 2025 P3 Essay
Find all functions $f:\mathbb{Q}\to\mathbb{Q}$ such that
\[f(f(f(\frac{x+y}{2}))+x+y)=f(x)+f(y)+f(\frac{x+y}{2})\]for all rational numbers $x,y$.

Hint
0 replies
iStud
an hour ago
0 replies
Inspired by Mihaela Berindeanu
sqing   2
N an hour ago by sqing
Source: Own
Let $ a,b,c>0  . $ Prove that
$$(4a+b+c)(a+b)(b+c)(c+a)\geq (ab+bc+ca)(2a+b+c)^2$$
2 replies
sqing
Yesterday at 2:08 PM
sqing
an hour ago
The Sums of Elements in Subsets
bobaboby1   1
N an hour ago by bobaboby1
Given a finite set \( X = \{x_1, x_2, \ldots, x_n\} \), and the pairwise comparison of the sums of elements of all its subsets (with the empty set defined as having a sum of 0), which amounts to \( \binom{2}{2^n} \) inequalities, these given comparisons satisfy the following three constraints:

1. The sum of elements of any non-empty subset is greater than 0.
2. For any two subsets, removing or adding the same elements does not change their comparison of the sums of elements.
3. For any two disjoint subsets \( A \) and \( B \), if the sums of elements of \( A \) and \( B \) are greater than those of subsets \( C \) and \( D \) respectively, then the sum of elements of the union \( A \cup B \) is greater than that of \( C \cup D \).

The question is: Does there necessarily exist a positive solution \( (x_1, x_2, \ldots, x_n) \) that satisfies all these conditions?
1 reply
bobaboby1
Mar 12, 2025
bobaboby1
an hour ago
average FE
KevinYang2.71   76
N 2 hours ago by Maximilian113
Source: USAJMO 2024/5
Find all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ that satisfy
\[
f(x^2-y)+2yf(x)=f(f(x))+f(y)
\]for all $x,y\in\mathbb{R}$.

Proposed by Carl Schildkraut
76 replies
KevinYang2.71
Mar 21, 2024
Maximilian113
2 hours ago
Max amount of equal numbers among (a_i^2 + a_j^2)/(a_i + a_j)
mshtand1   1
N 2 hours ago by Rushery_10
Source: Ukrainian Mathematical Olympiad 2025. Day 2, Problem 9.8
Given $2025$ pairwise distinct positive integer numbers \(a_1, a_2, \ldots, a_{2025}\), find the maximum possible number of equal numbers among the fractions of the form
\[
\frac{a_i^2 + a_j^2}{a_i + a_j}
\]
Proposed by Mykhailo Shtandenko
1 reply
mshtand1
Mar 14, 2025
Rushery_10
2 hours ago
Combinatorics from Iranian TST 2017
bgn   20
N 2 hours ago by ezpotd
Source: Iranian TST 2017, first exam, day1, problem 2
In the country of Sugarland, there are $13$ students in the IMO team selection camp.
$6$ team selection tests were taken and the results have came out. Assume that no students have the same score on the same test.To select the IMO team, the national committee of math Olympiad have decided to choose a permutation of these $6$ tests and starting from the first test, the person with the highest score between the remaining students will become a member of the team.The committee is having a session to choose the permutation.
Is it possible that all $13$ students have a chance of being a team member?

Proposed by Morteza Saghafian
20 replies
bgn
Apr 5, 2017
ezpotd
2 hours ago
JSMCR Results
FuturePanda   14
N 2 hours ago by Pengu14
Hi everyone,

Did anyone get their JSMCR decisions back yet? They were supposed to release on 2/28

Thanks!
14 replies
FuturePanda
Mar 1, 2025
Pengu14
2 hours ago
AMC 10.........
BAM10   8
N 3 hours ago by ChickensEatGrass
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?
8 replies
BAM10
Mar 2, 2025
ChickensEatGrass
3 hours ago
OTIS Mock AIME 2024 airs on Dec22 (out now!)
v_Enhance   65
N Jan 7, 2025 by Airbus320-214
Source: https://web.evanchen.cc/mockaime.html
Satisfactory. Keep cooking.
IMAGE

I'm happy to announce that after I think a 10-year hiatus or something, I've finally gotten back into the business of writing random mock exams like I did when I was a kid. Actually, just kidding, I didn't make any of the problems --- I just did a lot of editing.

The OTIS Mock AIME 2024 will be a 15-problem mock AIME showcasing some really nice problems set by current and past OTIS students. (It was actually pretty hard for me to choose the lineup because there weren't enough slots to use all the problems I liked; maybe next year.)

The details are written out at https://web.evanchen.cc/mockaime.html, but to highlight important info:
[list]
[*]The problems can be downloaded from the link above, or directly from https://web.evanchen.cc/exams/OTIS-Mock-AIME-2024.pdf.
[*]If you'd like to submit for scoring, you should do so by January 15 at 23:59. Please hold off on public spoilers before then.
[*]Solutions, statistics, and maybe some high scores will be published shortly after that.
[/list]
Feel free to post questions, hype comments, etc. in this thread. We're excited to launch in 3 days.
65 replies
v_Enhance
Dec 19, 2023
Airbus320-214
Jan 7, 2025
OTIS Mock AIME 2024 airs on Dec22 (out now!)
G H J
G H BBookmark kLocked kLocked NReply
Source: https://web.evanchen.cc/mockaime.html
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
dolphinday
1310 posts
#54
Y by
The 4.0 didn't actually do that bad although it did just brute force everything with python
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ab456
220 posts
#55
Y by
just curious, which problems did ChatGPT-4 solve?

But if it got a 4 on the AIME, we are far from the point where AI can get an IMO gold medal. 4 on AIME means that it is probably only barely qualifying for AIME according to the pre-2020 standards for AIME(where cutoffs were a bit higher than now) or only about 1.5 questions higher than what AIME is on todays tests
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
sundavid2591
114 posts
#56
Y by
to be fair this test was pretty difficult so a 4 is definitely a start
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
joshualiu315
2513 posts
#57
Y by
it did just brute force everything with python as @dolphinday mentioned
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ab456
220 posts
#58
Y by
sundavid2591 wrote:
to be fair this test was pretty difficult so a 4 is definitely a start

what do you think a 4 on this test would correspond to on a recent AIME like 2021-2023?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Amkan2022
1997 posts
#59
Y by
ab456 wrote:
sundavid2591 wrote:
to be fair this test was pretty difficult so a 4 is definitely a start

what do you think a 4 on this test would correspond to on a recent AIME like 2021-2023?

Evan said 6
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ab456
220 posts
#60
Y by
Amkan2022 wrote:
ab456 wrote:
sundavid2591 wrote:
to be fair this test was pretty difficult so a 4 is definitely a start

what do you think a 4 on this test would correspond to on a recent AIME like 2021-2023?

Evan said 6

Thats what i guessed too... i guess than it would probably be at a higher level than AIME qual in a pre-2020 year... maybe about 1-1.5 questions above that and maybe about 3 questions above AIME qual in the present year.
This post has been edited 1 time. Last edited by ab456, Jan 17, 2024, 3:30 AM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
v_Enhance
6858 posts
#61 • 6 Y
Y by dolphinday, trk08, r00tsOfUnity, Rounak_iitr, P_Groudon, Danielzh
Hi all, full solutions, results, and video are all out!

Congratulations in particular to the top scorers (see the report above for all scores 10+ and general statistics):

:winner_first: Zaahir Ali (15 points)
:winner_second: thanosaops (14 points)
:winner_third: tenth (13 points)

Thanks for playing, see you next year.
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
P_Groudon
867 posts
#62 • 2 Y
Y by lethan3, v_Enhance
Well since the official solutions are out and I get to see the behind the scenes part of the test, I will give more proper feedback. Keep in mind I got the first 10 correct but none of the last 5.

I'll go problem by problem.
1. Yeah, it has shown up before in another obscure contest, but I think this is fairly suitable for #1.
2. Could see people messing up with getting the right region where it lies in only one of the two quadrilaterals. Fairly standard though.
3. Also fairly standard
4. Computation was annoying and I felt it would have made more sense to formulate it as functions instead of tuples. Still a decent problem.
5. Rather routine
6. It was cool seeing a graph problem because those are hard to make for AIME. A graphing problem where there's only 1-4 intersection points is okay for AMC but not AIME, so you have to find a different way to get an answer extraction. It did trip me up at first, since I didn't think about negative solutions immediately. Almost put 552 but caught that error. Not surprised at the solve rate.
7. Fairly easy
8. I used Kummer's to get bounds during the test and thought that was the intended approach. However, the official solution uses the idea that goes into proving Kummer's but with more elementary steps. I like this problem more after seeing that solution, but I do not think it should have been moved earlier.
9. Hit or miss but such problems appear on AIME
10. Also hit or miss. I felt I had to take random stabs in the dark because it's not at all obvious on where you should start. While the equation simplifies nicely, it feels contrived in a sense that the lcms don't have much value after you find $c$ is a divisor of both $a$ and $b$. It doesn't really make use of properties of lcm beyond some initial divisibilities. Not a bad problem though.
11. I didn't think much of this problem at first. I was pleasantly shocked to see this had a little bit of each of the four subjects: geometry, algebra, NT, and combo. Amazing problem.
12. Another one I was pleasantly shocked about. It's super easy to go down the wrong hole of trying to do casework on how many bands or on specific configurations. I didn't expect the solution to be so nice.
13. Least favorite of the final 5 but I don't think it's a bad problem. The others are all so great that it overshadows this one. Problem is tricky and at least some NT in the final 5 improves the test over the (sadly) many official AIMEs that have no NT in the final 5 at all. Not going too hard on this problem, since NT is probably the hardest subject to write for AIME for most problem writers, especially in the final 5.
14. Also super neat. For a late geometry to stand out, the setup should stand out (like in 2021 AIME I #11) or be olympiad flavored with an answer extraction (like in 2019 AIME I #15). It does happen a lot in length chasing AIME problems where they start to look the same after a while. But this one was special because of the formulation.
15. I do not think this was trivial at all, regardless of the approach one took. It was really cool to see both the official solution making use of conic equation properties and then some other solutions that had very nice geometric observations.

Final comment, I think this process will be better the next time around and when the test starts getting planned an extra month before the release. That way, something like "we need more viable early problems" can be announced and maybe a second test could get created.
This post has been edited 1 time. Last edited by P_Groudon, Jan 21, 2024, 2:40 AM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
happypi31415
734 posts
#63
Y by
honestly i thought the test was pretty accurate in difficulty (easier then a lot of other mocks like the christmas mock aime)
i attempted 9 problems here which is a little above average for me
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
J-king
166 posts
#64
Y by
What score on this would correlate to a 11~12 on 2023 AIME?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ab456
220 posts
#65
Y by
J-king wrote:
What score on this would correlate to a 11~12 on 2023 AIME?

Based on what I’ve heard a 9 probably closer to 10-11 to account for test pressure in the real test if taken officially but we have no idea whether the 2023 AIME is easier/harder than normal
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
dolphinday
1310 posts
#66 • 1 Y
Y by khina
Maybe the test was accurate difficulty-wise, but I don't think it makes sense to correlate scores between this and the real AIME

The test felt too clean, and some problems felt a lot less shallow than the regular AIME
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Magnetoninja
270 posts
#67
Y by
Bombed this with a 7 (no. 1 wrong lol), what would that correlate to on the AIME?

Distribution 011111100100000
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Airbus320-214
77 posts
#68
Y by
Magnetoninja wrote:
Bombed this with a 7 (no. 1 wrong lol), what would that correlate to on the AIME?

Distribution 011111100100000

I think it was pretty good, a score of 7-10 is possible
Z K Y
N Quick Reply
G
H
=
a