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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.
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[*]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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0 replies
jlacosta
May 1, 2025
0 replies
2n equations
P_Groudon   83
N 25 minutes ago by Roots_Of_Moksha
Let $n \geq 4$ be an integer. Find all positive real solutions to the following system of $2n$ equations:

\begin{align*}
a_{1} &=\frac{1}{a_{2 n}}+\frac{1}{a_{2}}, & a_{2}&=a_{1}+a_{3}, \\
a_{3}&=\frac{1}{a_{2}}+\frac{1}{a_{4}}, & a_{4}&=a_{3}+a_{5}, \\
a_{5}&=\frac{1}{a_{4}}+\frac{1}{a_{6}}, & a_{6}&=a_{5}+a_{7} \\
&\vdots & &\vdots \\
a_{2 n-1}&=\frac{1}{a_{2 n-2}}+\frac{1}{a_{2 n}}, & a_{2 n}&=a_{2 n-1}+a_{1}
\end{align*}
83 replies
P_Groudon
Apr 15, 2021
Roots_Of_Moksha
25 minutes ago
Frustration with Olympiad Geo
gulab_jamun   2
N 28 minutes ago by resources
Ok, so right now, I am doing the EGMO book by Evan Chen, but when it comes to problems, there are some that just genuinely frustrate me and I don't know how to deal with them. For example, I've spent 1.5 hrs on the second to last question in chapter 2, and used all the hints, and I still am stuck. It just frustrates me incredibly. Any tips on managing this? (or.... am I js crashing out too much?)
2 replies
+2 w
gulab_jamun
2 hours ago
resources
28 minutes ago
Sequences of real numbers
brian22   92
N 4 hours ago by NicoN9
Source: USAJMO 2015 Problem 1
Given a sequence of real numbers, a move consists of choosing two terms and replacing each with their arithmetic mean. Show that there exists a sequence of 2015 distinct real numbers such that after one initial move is applied to the sequence -- no matter what move -- there is always a way to continue with a finite sequence of moves so as to obtain in the end a constant sequence.
92 replies
brian22
Apr 28, 2015
NicoN9
4 hours ago
Close to JMO, but not close enough
isache   11
N Today at 6:13 AM by LearnMath_105
Im currently a freshman in hs, and i rlly wanna make jmo in sophmore yr. Ive been cooking at in-person competitions recently (ucsd hmc, scmc, smt, mathcounts) but I keep fumbling jmo. this yr i had a 133.5 on 10b and a 9 on aime. How do i get that up by 20 points to a 240?
11 replies
isache
Yesterday at 11:37 PM
LearnMath_105
Today at 6:13 AM
No more topics!
USAJMO, USAMO, AIME, ARML, HMMT, Mandelbrot, PUMaC,USAMTS Mocks collected
parmenides51   31
N Jan 25, 2025 by zhaohm
Source: Usamo , Usajmo, AIME Mocks
2 years have passed since I posted geometry problems from mock USAJMO and USAMO collected. Last days I started posting in HSO the Mock Contests of USAJMO level, not posted there or not existing already inside User Created Contests


So enjoy

$\bullet$ USAJMO Mocks posted in separate threads, collected in post collections geometry addicted may look here
$\bullet$ USAMO Mocks, posted in separate threads, collected in post collections geometry addicted may look here

$\bullet$ AIME Mocks geometry addicted may look here
$\bullet$ ARML Mocks geometry addicted may look here
$\bullet$ HMMT Mocks
$\bullet$ Mandelbrot Mocks
$\bullet$ PUMaC Mocks
$\bullet$ USAMTS Mocks

$\bullet$ Different Type Mocks

$\bullet$ USA Computational Geo Mocks (from AMC, AIME, HMMT, PUMaC Mocks)
$\bullet$ Geometry from USA Computational Mocks (AIME + ARML + Other Computational + Different Type)

$\bullet$ Geometry from AIME Mocks + 3D Geo from Mock AIMEs + Conics from Mock AIMEs
$\bullet$ Geometry from AIME (official)

Collected among others inside here, among USA Mocks

after I finish with USAJMO Mocks, I shall start doing the same with USAMO Mocks (a few are here ) (more soon)

if you happen to come across other USAJMO mocks, please let me know to create their post collections, to include them in the list above

enjoy / start solving

only 1 old USAJMO Mock remain to be posted

aops mock AIME wiki 2012-23 almost complete
31 replies
parmenides51
Nov 17, 2023
zhaohm
Jan 25, 2025
USAJMO, USAMO, AIME, ARML, HMMT, Mandelbrot, PUMaC,USAMTS Mocks collected
G H J
G H BBookmark kLocked kLocked NReply
Source: Usamo , Usajmo, AIME Mocks
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parmenides51
30653 posts
#1 • 30 Y
Y by PlastiActuator, mathmax12, Anchovy, racebrook18, NTfish, Awesomeness_in_a_bun, greenturtle3141, akliu, happypi31415, aidan0626, Math4Life7, tigeryong, Rounak_iitr, balllightning37, Sedro, beishexi, JustKeepRunning, RedFireTruck, Susanssluk, fruitmonster97, ESAOPS, Silverblossom, fantasticcrow, mal7896, youngjin, ehuseyinyigit, MathRook7817, ostriches88, Kameawtamprooz, mathmonkey14
2 years have passed since I posted geometry problems from mock USAJMO and USAMO collected. Last days I started posting in HSO the Mock Contests of USAJMO level, not posted there or not existing already inside User Created Contests


So enjoy

$\bullet$ USAJMO Mocks posted in separate threads, collected in post collections geometry addicted may look here
$\bullet$ USAMO Mocks, posted in separate threads, collected in post collections geometry addicted may look here

$\bullet$ AIME Mocks geometry addicted may look here
$\bullet$ ARML Mocks geometry addicted may look here
$\bullet$ HMMT Mocks
$\bullet$ Mandelbrot Mocks
$\bullet$ PUMaC Mocks
$\bullet$ USAMTS Mocks

$\bullet$ Different Type Mocks

$\bullet$ USA Computational Geo Mocks (from AMC, AIME, HMMT, PUMaC Mocks)
$\bullet$ Geometry from USA Computational Mocks (AIME + ARML + Other Computational + Different Type)

$\bullet$ Geometry from AIME Mocks + 3D Geo from Mock AIMEs + Conics from Mock AIMEs
$\bullet$ Geometry from AIME (official)

Collected among others inside here, among USA Mocks

after I finish with USAJMO Mocks, I shall start doing the same with USAMO Mocks (a few are here ) (more soon)

if you happen to come across other USAJMO mocks, please let me know to create their post collections, to include them in the list above

enjoy / start solving

only 1 old USAJMO Mock remain to be posted

aops mock AIME wiki 2012-23 almost complete
This post has been edited 111 times. Last edited by parmenides51, Feb 6, 2024, 7:28 PM
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parmenides51
30653 posts
#2
Y by
if you happen to come across any Mock USA(J)MO level posted in aops with original problems, leave a comment to include it also
This post has been edited 7 times. Last edited by parmenides51, Nov 26, 2023, 8:51 AM
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parmenides51
30653 posts
#3
Y by
many other USA Mocks, besides USA(J)MO, are been added last days in those User Created Contests / USA Mocks , i;e.

$\bullet$ AIME Mocks
$\bullet$ ARML Mocks
$\bullet$ HMMT Mocks
$\bullet$ Mandelbrot Mocks
$\bullet$ PUMaC Mocks
$\bullet$ USAMTS Mocks

$\bullet$ USA Computational Geo Mocks (from AMC, AIME, HMMT, PUMaC Mocks)

enjoy / start solving
This post has been edited 1 time. Last edited by parmenides51, Nov 26, 2023, 8:53 AM
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parmenides51
30653 posts
#4
Y by
As I continue to collect more AIME Mocks above, I just created a new forum collection with

$\bullet$ Geometry from AIME Mocks

enjoy / start solving
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gracemoon124
872 posts
#5
Y by
parmenides51 wrote:
As I continue to collect more AIME Mocks above, I just created a new forum collection with

$\bullet$ Geometry from AIME Mocks

enjoy / start solving

wow this'll be incredibly useful, tysm!
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parmenides51
30653 posts
#6
Y by
68 AIME Mocks have been collected so far and I keep collecting more
(all problems collected have being posted in separate threads)

enjoy / start solving
This post has been edited 2 times. Last edited by parmenides51, Dec 2, 2023, 8:28 AM
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P_Groudon
871 posts
#7 • 2 Y
Y by parmenides51, MathRook7817
If you want, there are others you could include:

SLKK Mock AIME: https://artofproblemsolving.com/community/c594864h2025192p14250940
The Mildorf AIMEs (people still go back to these occasionally because they stood the test of time)
2010 Mock AIME I: https://artofproblemsolving.com/community/c5h326878p1753851 (despite the test's age, it's incredibly difficult)
2010 Mock AIME II: https://artofproblemsolving.com/community/c594864h334502p1800151
2011 Mock AIME I: https://artofproblemsolving.com/community/c594864h3004248p26981809
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parmenides51
30653 posts
#8
Y by
I intend to add.every Mock AIME mentioned in aops wiki,.so those above shall be posted in separate threads and will be added soon

I plan at first to recheck all already posted mocks, especially USA(J)MOs for any shortlisted problems, and shall continue afterwards

Thanks for the suggestions
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P_Groudon
871 posts
#9 • 1 Y
Y by parmenides51
Some others before I forget:

beta Mock AIME: https://artofproblemsolving.com/community/c5h63721p380055
2013 ASIA Team Mock AIME: https://artofproblemsolving.com/community/c5h522735p2947895
2014 AAST Mock AIME: https://artofproblemsolving.com/community/c5h578866p3422066

Looks like everything post-2014 is thoroughly covered, it's mostly the older mocks that have been forgotten at this point that need to be posted

EDIT: I realized treemath's AIME from 2021 doesn't have problem threads posted yet:
https://artofproblemsolving.com/community/c594864h2441992

EDIT 2: Another one
https://artofproblemsolving.com/community/c594864h2817762p24985693
This post has been edited 2 times. Last edited by P_Groudon, Dec 8, 2023, 10:08 PM
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parmenides51
30653 posts
#10
Y by
all mock AIMEs from Aops wiki 2012-2023 here,

besides this from 2015 (due to dependency of the problems),

have been posted in separate threads and are collected inside AIME Mocks

I shall continue posting years 2010-11 from wiki and all the above mentioned mocks

Click to reveal hidden text
This post has been edited 8 times. Last edited by parmenides51, Dec 23, 2023, 8:10 AM
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parmenides51
30653 posts
#11
Y by
two more are posted, remain those <=2011 as well as those on my hide at first post

Click to reveal hidden text

PS. I shall create a separate Mock AIME 3D Geo collection for it's fans
This post has been edited 7 times. Last edited by parmenides51, Dec 23, 2023, 8:10 AM
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Silver08
470 posts
#12
Y by
How do u make folders and format list of problems like those???
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parmenides51
30653 posts
#13
Y by
To create a folder collection, you follow the path: Community / My Aops / My Collections / press + on the right (below My blogs )/ Forums and Other Collections (on the menu ''Create collection'')

I didn't understand the list question unless
This post has been edited 1 time. Last edited by parmenides51, Dec 18, 2023, 5:47 AM
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P_Groudon
871 posts
#14 • 1 Y
Y by parmenides51
I notice you put the year number before the name of mock AIME because the thing naturally sorts collections by alphabetical order and that's much easier to organize than by title, where the chronological order would be all over the place.

Do you want me to change the CIME collection titles so the year number is before? I have control over them and that will mean you don't have to scroll through a bunch of other collections to get to that because of alphabetical order.

Also, I briefly remember one more mock AIME that probably got missed because it wasn't in AoPS mock contests:

https://artofproblemsolving.com/community/c5h1412815

Discussion forum link that has all the problem threads already:

https://artofproblemsolving.com/community/c431429_aops12142015_aime_i
This post has been edited 1 time. Last edited by P_Groudon, Dec 18, 2023, 2:16 PM
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parmenides51
30653 posts
#15
Y by
@above, problem threads from CMC, GC, OTSS are the only three without number at first, if you rename the CIME I shall rename the other two (or even replace them.with new post collections) to maintain the same format
This post has been edited 4 times. Last edited by parmenides51, Dec 21, 2023, 6:27 AM
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parmenides51
30653 posts
#16
Y by
all Mock AIME suggestions by P_Groudon besides have been posted in separate threads
and collected inside AIME Mocks

I also finished collecting all Mock AIMEs mentioned in Aops wiki between 2010- today besides

To be continued
This post has been edited 5 times. Last edited by parmenides51, Dec 21, 2023, 6:40 AM
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parmenides51
30653 posts
#17
Y by
I just finished collecting all HMMT Mocks mentioned inside aops

$\bullet$ HMMT Mocks

enjoy / start solving
This post has been edited 1 time. Last edited by parmenides51, Jan 17, 2024, 12:19 PM
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parmenides51
30653 posts
#18 • 1 Y
Y by Sedro
commenting just to inform you that I started updating all collected above Mock AIME post collections,
by adding links to original threads, or to answer keys or to solutions pdf if existed

so far I updated years 2010 - 2019, next days 2020-23 shall follow

$\bullet$ AIME Mocks

enjoy / start solving
This post has been edited 4 times. Last edited by parmenides51, Jan 17, 2024, 12:19 PM
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parmenides51
30653 posts
#19
Y by
I updated Mock AIMEs post collections from years 2020-23 as mentioned above,
besides (IMTC, CIME, GCIME and OTSS)

I started collecting Mock ARMLs as many users have created such mocks

$\bullet$ ARML Mocks

also any mock whose format is not of an official contest, is collected at

$\bullet$ Different Type Mocks

enjoy / start solving
This post has been edited 5 times. Last edited by parmenides51, Jan 17, 2024, 11:56 AM
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parmenides51
30653 posts
#20 • 2 Y
Y by suvamkonar, sargamsujit
I finished posting all Mock AIMEs I could find using search (since 2010),
besides a few with many typos or unoriginal problems

I even added the 2024 OTIS Mock AIME :showoff:

Next are more mock ARML to be added, after problems get posted in separate threads

$\bullet$ AIME Mocks

enjoy / start solving
This post has been edited 5 times. Last edited by parmenides51, Jan 23, 2024, 7:01 PM
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RedFireTruck
4243 posts
#21 • 2 Y
Y by juicetin.kim, tani_lex
parmenides51 lowkey the goat :omighty:

thank you for everything you do
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parmenides51
30653 posts
#22
Y by
I finished posting all Mock ARMLs I could find inside aops, in separate threads
besides the high quality FARML (next days)

$\bullet$ ARML Mocks (split into 3 categories: individual + team + relay)

enjoy / start solving
This post has been edited 5 times. Last edited by parmenides51, Jan 23, 2024, 10:27 PM
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aaaaaaaabbbb
148 posts
#23
Y by
thanks @parmenides51
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parmenides51
30653 posts
#24
Y by
today I shall post all Milford Mock AIMEs in HSM in sperate threads each problem,
in order more people to enjoy solving them in public

if you look these days in HSM, I keep on posting AIME or AIME level Mocks

enjoy / start solving
This post has been edited 11 times. Last edited by parmenides51, Jan 30, 2024, 4:52 PM
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parmenides51
30653 posts
#25
Y by
geometry addicted may look at my latest collection

$\bullet$ Geometry from USA Computational Mocks (AIME + ARML + Other Computational + Different Type)

enjoy / start solving
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parmenides51
30653 posts
#26
Y by
commenting to inform you that I finally finished posting in separate threads Mildorf's AIMEs

all Milford Mock AIMEs pdf with solutions

related post collections with answer key

all above are collected inside

$\bullet$ AIME Mocks

enjoy / start solving
This post has been edited 4 times. Last edited by parmenides51, Jan 30, 2024, 8:46 PM
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P_Groudon
871 posts
#27 • 2 Y
Y by parmenides51, suvamkonar
Just a note: for the 5th Mildorf AIME, he didn't include solutions to all the problems in his document, only ones to 14 and 15.

But I wrote up solutions to all 15 for the 5th one here:
https://artofproblemsolving.com/community/c5h29263p20770494
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parmenides51
30653 posts
#28
Y by
commenting just to inform you that

all Mock AIMEs from aops wiki from the start (pre 2006) till 2023 have been posted in separate threads and collected below

$\bullet$ AIME Mocks

enjoy / start solving
This post has been edited 3 times. Last edited by parmenides51, Feb 6, 2024, 7:39 PM
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zhaohm
15 posts
#29 • 2 Y
Y by aaaaaaaabbbb, parmenides51
@parmenides51 I have always been troubled by the fact that since I have solved many past AIME tests for multiple times and the AoPS Wiki's Mock Contest page can be hard to navigate, I am running out of a list of high quality, well organized, and easily accessible mocks. Thank you so much for providing a resource that I longed for years!

Since it did take me considerable efforts to find this page, I have added the link of this page to the AoPS Wiki's Mock Contest page to make it easily accessible for everyone.
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zhaohm
15 posts
#30
Y by
I created a similar compilation containing most AMC mocks in the AoPS Wiki's Mock Contests page here in google drive (though containing pdf files instead of contest folders and perhaps not as high quality as parmenides51's). Also, this is a google drive folder containing the pdf files of 50 mocks I selected from parmenides51's compilation (and a merged file of these files) based on the following criterion: 1. Contains solution document 2. High quality enough and 3. Designed entirely to mimic an actual AIME (i.e., geo mocks or mocks with time limit other than three hours are not included) to print for my AIME training. It may be helpful for people who prefer doing mocks with solutions available or doing mocks in print :)

The following mocks (abbreviated), though satisfying the aforementioned criterion, are not included in the mock AIME folder since their pdf documents cannot be generated due to LaTeX errors: 2010 AIME I, 2012 AIME I, 2016 AMSP Cornell AIME, 2018 Eric Shen's AIME, 2019 Summer AIME, 2019 WTmOO AIME, 2019 CIME I, 2019 CIME II, 2020 CIME I, 2020 FAIME, 2020 PIME, 2020 SIME, 2020 SLKK AIME, 2021 DIME, 2021 CIME II, 2021 OTIE, 2022 DIME, 2022 JIME, and 2022 XYZIME
This post has been edited 2 times. Last edited by zhaohm, Jan 24, 2025, 1:05 PM
Reason: Adding a word
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parmenides51
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#31
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@above, the reason pdf to latex doesn't work is because I have added links to solutions pdf and other links at the end

if you want to use the original pdf, go to the original place that contest was posted and take the original pdf

example:
Regarding 2022 Dime, that is the link to the post collection inside AIME Mocks,
on the top is the link to where it is posted, this one
following that link you get the original pdf at first link, here it is
if there are solutions, you will probably see it in the first post collection, where I collected problems posted in separate links, after the problems
This post has been edited 1 time. Last edited by parmenides51, Jan 24, 2025, 6:07 PM
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zhaohm
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#32 • 1 Y
Y by parmenides51
Got it! I added the files in the AIME mocks selection folder, their solutions, and the original problem & solution file for the mocks whose pdfs cannot be generated from LaTeX to my original compilation here .
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