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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]
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.

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0 replies
jlacosta
May 1, 2025
0 replies
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Number of real roots
girishpimoli   5
N 4 hours ago by mrgenius000
If $f(x)=x^2-2x$. Then number of real roots of $f(f(f(f(x))))=3$
5 replies
girishpimoli
Today at 3:44 AM
mrgenius000
4 hours ago
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Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   1077
N 5 hours ago by Staragon
Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.
1077 replies
asuth_asuth
Mar 30, 2025
Staragon
5 hours ago
J
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Proving that the line passes through the midpoint.
MTA_2024   2
N 6 hours ago by Royal_mhyasd
Let $ABC$ be a triangle of orthocenter $H$. The circle of diameter $AC$ and the circumcircle of triangle $AHB$ intersect a second time in $K$.
Prove that the line $(CK)$ passes through the midpoint of segment $HB$.
2 replies
MTA_2024
May 7, 2025
Royal_mhyasd
6 hours ago
J
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Square number
linkxink0603   4
N Today at 3:29 AM by pooh123
Find m is positive interger such that m^4+3^m is square number
4 replies
linkxink0603
Yesterday at 11:20 AM
pooh123
Today at 3:29 AM
J
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Alcumus Reset
greenplanet2050   1
N Today at 2:10 AM by Craftybutterfly
I want to reset my Alcumus but it says "You cannot reset your Alcumus data while you are in current AoPS classes."

But I don't have any ongoing AoPs classes and my last class Precalculus already ended.
1 reply
greenplanet2050
Today at 2:05 AM
Craftybutterfly
Today at 2:10 AM
J
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Inequalities
sqing   7
N Today at 2:01 AM by sqing
Let $ a,b>0, a^2+ab+b^2 \geq 6 $. Prove that
$$a^4+ab+b^4\geq 10$$Let $ a,b>0, a^2+ab+b^2 \leq \sqrt{10} $. Prove that
$$a^4+ab+b^4 \leq 10$$Let $ a,b>0, a^2+ab+b^2 \geq \frac{15}{2} $. Prove that
$$ a^4-ab+b^4\geq 10$$Let $ a,b>0, a^2+ab+b^2 \leq \sqrt{10} $. Prove that
$$-\frac{1}{8}\leq a^4-ab+b^4\leq 10$$
7 replies
sqing
Thursday at 2:42 PM
sqing
Today at 2:01 AM
J
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Compilation of functions problems
Saucepan_man02   2
N Today at 12:45 AM by Saucepan_man02
Could anyone post some handout/compilation of problems related to functions (difficulty similar to AIME/ARML/HMMT etc)?

Thanks..
2 replies
Saucepan_man02
May 7, 2025
Saucepan_man02
Today at 12:45 AM
J
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How many triangles
Ecrin_eren   5
N Today at 12:10 AM by jasperE3


"Inside a triangle, 2025 points are placed, and each point is connected to the vertices of the smallest triangle that contains it. In the final state, how many small triangles are formed?"


5 replies
Ecrin_eren
May 2, 2025
jasperE3
Today at 12:10 AM
J
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Triangle on a tetrahedron
vanstraelen   2
N Yesterday at 7:51 PM by ReticulatedPython

Given a regular tetrahedron $(A,BCD)$ with edges $l$.
Construct at the apex $A$ three perpendiculars to the three lateral faces.
Take a point on each perpendicular at a distance $l$ from the apex such that these three points lie above the apex.
Calculate the lenghts of the sides of the triangle.
2 replies
vanstraelen
Yesterday at 2:43 PM
ReticulatedPython
Yesterday at 7:51 PM
J
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shadow of a cylinder, shadow of a cone
vanstraelen   2
N Yesterday at 6:33 PM by vanstraelen

a) Given is a right cylinder of height $2R$ and radius $R$.
The sun shines on this solid at an angle of $45^{\circ}$.
What is the area of the shadow that this solid casts on the plane of the botom base?

b) Given is a right cone of height $2R$ and radius $R$.
The sun shines on this solid at an angle of $45^{\circ}$.
What is the area of the shadow that this solid casts on the plane of the base?
2 replies
vanstraelen
Yesterday at 3:08 PM
vanstraelen
Yesterday at 6:33 PM
J
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2023 Official Mock NAIME #15 f(f(f(x))) = f(f(x))
parmenides51   3
N Yesterday at 5:13 PM by jasperE3
How many non-bijective functions $f$ exist that satisfy $f(f(f(x))) = f(f(x))$ for all real $x$ and the domain of f is strictly within the set of $\{1,2,3,5,6,7,9\}$, the range being $\{1,2,4,6,7,8,9\}$?

Even though this is an AIME problem, a proof is mandatory for full credit. Constants must be ignored as we dont want an infinite number of solutions.
3 replies
parmenides51
Dec 4, 2023
jasperE3
Yesterday at 5:13 PM
J
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Geometry
AlexCenteno2007   3
N Yesterday at 4:18 PM by AlexCenteno2007
Let ABC be an acute triangle and let D, E and F be the feet of the altitudes from A, B and C respectively. The straight line EF and the circumcircle of ABC intersect at P such that F is between E and P, the straight lines BP and DF intersect at Q. Show that if ED = EP then CQ and DP are parallel.
3 replies
AlexCenteno2007
Apr 28, 2025
AlexCenteno2007
Yesterday at 4:18 PM
J
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k (Another) Reaper bug
RedChameleon   3
N Thursday at 7:44 PM by jlacosta
Sbarrack updated the home page of reaper. Now when I want to click on current or upcoming games, when I click the buttons, they do not redirect me to the game.

I have not recorded footage because I'm lazy but I'm currently on a Chromebook and I'm using Chrome.
3 replies
RedChameleon
Thursday at 5:43 PM
jlacosta
Thursday at 7:44 PM
J
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k Is it a error for reaper
tyrantfire4   5
N Thursday at 7:14 PM by k1glaucus
I was going to reap on reaper and it put me on a strange reaper page I figured out to to reap by using the url
https://artofproblemsolving.com/reaper/reaper?id=85and changing the 85 but it was so weird I kept the page
5 replies
tyrantfire4
Thursday at 6:20 PM
k1glaucus
Thursday at 7:14 PM
J
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k Preview before submitting challenge problems is gone
C-123Math   4
N Aug 19, 2023 by C-123Math
Hello,
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
4 replies
C-123Math
Aug 18, 2023
C-123Math
Aug 19, 2023
J
Preview before submitting challenge problems is gone
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Reveal topic tags
calculus
LaTeX
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G H BBookmark kLocked kLocked NReply
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C-123Math
252 posts
C-123Math
#1 h  Aug 18, 2023, 5:13 PM • 1 Y
Y by levibailey
Hello,
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
Z Y
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ethancui0529
1116 posts
ethancui0529
#2 h  Aug 18, 2023, 5:33 PM
Y by
I think there are certain types of symbols that won't render latex. Could you show a screenshot for a better look?
This post has been edited 2 times. Last edited by ethancui0529, Aug 18, 2023, 5:33 PM
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TwitchX
421 posts
TwitchX
#3 h  Aug 18, 2023, 5:42 PM
Y by
Cannot reproduce.
Attachments:
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club52
724 posts
club52
#4 h  Aug 18, 2023, 6:17 PM
Y by
Hello, as seen here, this is intentionally off for calculus. For non-calculus AoPS Courses, the LaTeX should render fine, but for the calculus course specifically, it does not work, as some calculus symbols are not able to be parsed in the box.
Z Y
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C-123Math
252 posts
C-123Math
#5 h  Aug 19, 2023, 8:02 PM
Y by
Alright, thank you :)
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