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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. 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 events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
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April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 2, 2025
0 replies
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Vieta's Bash (I think??)
Sid-darth-vater   7
N 31 minutes ago by vanstraelen
I technically have a solution (I didn't come up with it, it was the official solution) but it seems unintuitive. Can someone find a sol/explain to me how they got to it? (like why did u do the steps that u did) sorry if this seems a lil vague

7 replies
Sid-darth-vater
2 hours ago
vanstraelen
31 minutes ago
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A problem involving modulus from JEE coaching
AshAuktober   6
N an hour ago by no_room_for_error
Solve over $\mathbb{R}$:
$$|x-1|+|x+2| = 3x.$$
(There are two ways to do this, one being bashing out cases. Try to find the other.)
6 replies
AshAuktober
Today at 8:44 AM
no_room_for_error
an hour ago
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Combinatorial proof
MathBot101101   9
N an hour ago by MathBot101101
Is there a way to prove
\frac{1}{(1+1)!}+\frac{2}{(2+1)!}+...+\frac{n}{(n+1)!}=1-\frac{1}{{n+1)!}
without induction and using only combinatorial arguments?

Induction proof wasn't quite as pleasing for me.
9 replies
MathBot101101
Yesterday at 7:37 AM
MathBot101101
an hour ago
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k VOLUNTEERING OPPORTUNITY FOR HIGH/MIDDLE SCHOOLERS
im_space_cadet   0
2 hours ago
Hi everyone!
Do you specialize in contest math? Do you have a passion for teaching? Do you want to help leverage those college apps? Well, I have something for all of you.

I am im_space_cadet, and during the fall of last year, I opened my non-profit DeltaMathPrep which teaches students preparing for contest math the problem-solving skills they need in order to succeed at these competitions. Currently, we are very much understaffed and would greatly appreciate the help of more tutors on our platform.

Each week on Saturday and Wednesday, we meet once for each competition: Wednesday for AMC 8 and Saturday for AMC 10 and we go over a past year paper for the entire class. On both of these days, we meet at 9PM EST in the night.

This is a great opportunity for anyone who is looking to have a solid activity to add to their college resumes that requires low effort from tutors and is very flexible with regards to time.

This is the link to our non-profit for anyone who would like to view our initiative:
https://www.deltamathprep.org/

If you are interested in this opportunity, please send me a DM on AoPS or respond to this post expressing your interest. I look forward to having you all on the team!

Thanks,
im_space_cadet
0 replies
im_space_cadet
2 hours ago
0 replies
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select a point, draw a line to get max area (1987 Lomonosov Tournament)
parmenides51   1
N Apr 30, 2021 by Inequality.
Brother and sister divide a triangular cake like this: he points a point on the cake, and she draws a straight line passing through this point and selects a piece for herself. Everyone wants to get a piece as much as possible. Where should the brother put an end to? What part of the cake will each receive in this case?
1 reply
parmenides51
Apr 30, 2021
Inequality.
Apr 30, 2021
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select a point, draw a line to get max area (1987 Lomonosov Tournament)
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Reveal topic tags
geometry
geometric inequality
max
Lomonosov Tournament
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parmenides51
30630 posts
parmenides51
#1 h  Apr 30, 2021, 3:33 PM
Y by
Brother and sister divide a triangular cake like this: he points a point on the cake, and she draws a straight line passing through this point and selects a piece for herself. Everyone wants to get a piece as much as possible. Where should the brother put an end to? What part of the cake will each receive in this case?
This post has been edited 1 time. Last edited by parmenides51, May 20, 2022, 7:45 AM
Z K Y
The post below has been deleted. Click to close.
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Inequality.
220 posts
Inequality.
#2 h  Apr 30, 2021, 3:44 PM
Y by
The barycenter maybe? Sister gets $\frac 59$ while brother gets $\frac 49$ of the cake.
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