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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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0 replies
jlacosta
May 1, 2025
0 replies
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[PMO26 Qualis] I.3 Change every number
aops-g5-gethsemanea2   4
N 19 minutes ago by Shinfu
The arithmetic mean of $11$ integers is $10$. After adding $20$ to each of the first four and subtracting $24$ from each of the last seven, what is the new mean?

$\text{(a) }2\qquad\text{(b) }3\qquad\text{(c) }4\qquad\text{(d) }6$

Answer confirmation
4 replies
aops-g5-gethsemanea2
Feb 9, 2025
Shinfu
19 minutes ago
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khan academy
Spacepandamath13   17
N 26 minutes ago by KF329
I haven't done khan academy in so long but today I had to learn law of sines. I wish khan academy taught competition math because their format, and self paced learning seems a bit better than aops' plus sal's videos for each topic are so good
17 replies
Spacepandamath13
May 18, 2025
KF329
26 minutes ago
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Random game
Spacepandamath13   22
N 28 minutes ago by maxamc
If the number is even divide by 2
if the number is odd add 2025
I'll start: 56
Everyone gets to post one time before the next person posts and then u can post again
22 replies
Spacepandamath13
2 hours ago
maxamc
28 minutes ago
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9 Favorite topic
A7456321   13
N an hour ago by A7456321
What is your favorite math topic/subject?

If you don't know why you are here, go binge watch something!

If you forgot why you are here, go to a hospital! :)

If you know why you are here and have voted, maybe say why you picked the option that you picked in a response) :thumbup:

Timeline

Oh yeah and you see that little thumb in the top right corner? The one that upvotes when you press it? Yeah. Press it. Thaaaaaaaanks! :D
13 replies
A7456321
Friday at 11:53 PM
A7456321
an hour ago
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Inequalities
sqing   21
N 2 hours ago by sqing
Let $ a,b,c>0 , a+b+c +abc=4$. Prove that
$$ \frac {a}{a^2+2}+\frac {b}{b^2+2}+\frac {c}{c^2+2} \leq 1$$Let $ a,b,c>0 , ab+bc+ca+abc=4$. Prove that
$$ \frac {a}{a^2+2}+\frac {b}{b^2+2}+\frac {c}{c^2+2} \leq 1$$
21 replies
sqing
May 15, 2025
sqing
2 hours ago
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Inequalities
sqing   22
N 2 hours ago by sqing
Let $ a,b>0 $ . Prove that
$$ \frac{a}{a^2+a +2b+1}+ \frac{b}{b^2+2a +b+1} \leq \frac{2}{5} $$$$ \frac{a}{a^2+2a +b+1}+ \frac{b}{b^2+a +2b+1} \leq \frac{2}{5} $$
22 replies
sqing
May 13, 2025
sqing
2 hours ago
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Minimize
lgx57   3
N 2 hours ago by MathRook7817
Minimize $\sqrt{\cos^2 x+(2-\sin x)^2}+\dfrac{1}{2}\sqrt{(\sqrt 3-\cos x)^2+(\sin x+1)^2}$
3 replies
lgx57
Friday at 1:29 PM
MathRook7817
2 hours ago
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2019 PMO Qualifying Stage III.3
wonderboy807   2
N 3 hours ago by aops-g5-gethsemanea2
A sequence \{a_n\}_{n \geq 1} of positive integers is defined by a_1 = 2 and for integers n > 1,

\frac{1}{a_1} + \frac{1}{a_2} + \cdots + \frac{1}{a_{n-1}} + \frac{n}{a_n} = 1.

Determine the value of \sum_{k=1}^{\infty} \frac{3^k(k+3)}{4^k a_k}.
2 replies
wonderboy807
4 hours ago
aops-g5-gethsemanea2
3 hours ago
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a tst 2013 test
Math2030   6
N 3 hours ago by Math2030
Given the sequence $(a_n): a_1=1, a_2=11$ and $a_{n+2}=a_{n+1}+5a_{n}, n \geq 1$
. Prove that $a_n $not is a perfect square for all $n > 3$.
6 replies
Math2030
Yesterday at 5:26 AM
Math2030
3 hours ago
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MTG MOSTP 2025 Handout Problem.
wonderboy807   2
N 3 hours ago by LilKirb
Let S_n = \sqrt{1 + \frac{1}{1^2} + \frac{1}{2^2}} + \sqrt{1 + \frac{1}{2^2} + \frac{1}{3^2}} + ... + \sqrt{1 + \frac{1}{n^2} + \frac{1}{(n+1)^2}} What is the numerical ratio of \frac{S_{2024}}{2024}?

2 replies
wonderboy807
4 hours ago
LilKirb
3 hours ago
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Original Problem: Geometry and Functions
wonderboy807   1
N 4 hours ago by wonderboy807
For any positive integer n, let F(n) be the number of interior diagonals in a convex polygon with n+3 sides. Find 1/(F(1)) + 1/(F(2)) + ... + 1/F(10))

Answer: Click to reveal hidden text
1 reply
wonderboy807
4 hours ago
wonderboy807
4 hours ago
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[Sipnayan SHS] Written Round, Average, #4.6
LilKirb   4
N Yesterday at 8:13 PM by Shan3t
Define the function
\[f(n) = \sum_{k=0}^{n} \binom{n}{k} a_k, \quad n = 1, 2, 3, \ldots\]where
\[a_k = \begin{cases} 3^k, & \text{if } k \text{ is even}, \\ 0, & \text{if } k \text{ is odd}. \end{cases} \]Find the remainder when \( f(10^9 + 2) \) is divided by \( 2^{20} + 1 \)
4 replies
LilKirb
Yesterday at 2:25 PM
Shan3t
Yesterday at 8:13 PM
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Remaining balls
pacoga   4
N Yesterday at 8:12 PM by mafj
A bag contains $20$ white balls, $30$ red balls and $40$ black balls. We extract balls at random without replacement until the bag becomes empty. What is the probability that there are still black and red balls in the bag when the last white ball is drawn?

4 replies
pacoga
Feb 3, 2021
mafj
Yesterday at 8:12 PM
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Linear algebra
Feynmann123   4
N Yesterday at 7:54 PM by OGMATH
Hi everyone,

I was wondering whether when I tried to compute e^(2x2 matrix) and got the expansions of sinx and cosx with the method of discounting the constant junk whether it plays any significance. I am a UK student and none of this is in my School syllabus so I was just wondering…


4 replies
Feynmann123
Yesterday at 6:44 PM
OGMATH
Yesterday at 7:54 PM
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Mathpath acceptance rate
fossasor   15
N Apr 22, 2025 by ZMB038
Does someone have an estimate for the acceptance rate for MathPath?
15 replies
fossasor
Dec 21, 2024
ZMB038
Apr 22, 2025
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Mathpath acceptance rate
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Reveal topic tags
summer program
MathPath
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fossasor
610 posts
fossasor
#1 h  Dec 21, 2024, 10:20 PM
Y by
Does someone have an estimate for the acceptance rate for MathPath?
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oinava
509 posts
oinava
#2 h  Dec 21, 2024, 11:25 PM
Y by
Years ago it was about 15%, but probably much lower now.
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fossasor
610 posts
fossasor
#3 h  Dec 22, 2024, 4:42 AM
Y by
Ugh, that's unfortunate. Is there any suggestion you can make for me to improve my chances of acceptance?
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lily2030
598 posts
lily2030
#4 h  Dec 22, 2024, 6:37 AM
Y by
How hard is mathpath?
What is the level that people are at to get in? (in terms of mathcounts, amc 10, amc 8, etc.)
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oinava
509 posts
oinava
#5 h  Dec 22, 2024, 1:47 PM
Y by
fossasor wrote:
Ugh, that's unfortunate. Is there any suggestion you can make for me to improve my chances of acceptance?

Convince some mathematicians to open more middle school math camps or increase the size of existing ones.

Anything an applicant does to improve their chances makes everyone else's chances lower.
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oinava
509 posts
oinava
#6 h  Dec 22, 2024, 1:59 PM
Y by
lily2030 wrote:
How hard is mathpath?
What is the level that people are at to get in? (in terms of mathcounts, amc 10, amc 8, etc.)

It's a secret. The staff don't want applicants to know.

I gather that the theory is that it's not supposed to matter, because the Qualifying Test is mostly self-selecting as a preview of the MathPath experience. MathCamp is like an all day, all week, all month Qualifying Test.

Only attempt as much of the Qualifying Test as you enjoy. Then if you get in, trust that they know you are ready for camp (which is highly adaptive with dozens of different courses to choose from, and no grades), because there are many more qualified applicants than spots.
And if you don't get in, it's OK because not getting everything you want is just how life is, and no harm done because you enjoyed the time you spent taking the test.

The only big problem with this theory is that the Qualifying Test is a solitary, lonely experience, but camp is very social and interactive.

https://www.mathpath.org/life/faq
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fossasor
610 posts
fossasor
#7 h  Dec 22, 2024, 3:07 PM
Y by
oinava wrote:
fossasor wrote:
Ugh, that's unfortunate. Is there any suggestion you can make for me to improve my chances of acceptance?

Convince some mathematicians to open more middle school math camps or increase the size of existing ones.

Anything an applicant does to improve their chances makes everyone else's chances lower.

... any ACTUAL advice?
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dragonborn56
1536 posts
dragonborn56
#8 h  Dec 22, 2024, 9:26 PM
Y by
I don;t think that there is much that you can do apart from trying your best on the qualifying test and submitting early. Also, if you are rejected, try again next year if you are able. I myself was rejected the first time that I applied, and tried again and was admitted.
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SOAR1231
28 posts
SOAR1231
#9 h  Jan 30, 2025, 5:08 PM
Y by
apply earlier
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fossasor
610 posts
fossasor
#10 h  Jan 30, 2025, 11:24 PM
Y by
I have - my application was submitted completely this Sunday, so it's all out of my hands now. Thank you for the advice!
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SOAR1231
28 posts
SOAR1231
#11 h  Jan 31, 2025, 1:46 AM
Y by
oh nice, some decisions already came out
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DreamineYT
298 posts
DreamineYT
#12 h  Jan 31, 2025, 3:21 AM
Y by
lily2030 wrote:
How hard is mathpath?
What is the level that people are at to get in? (in terms of mathcounts, amc 10, amc 8, etc.)

imo i dont think they focus on this very much. I think they focus more on like ur hobbies and stuff because they want u to have a life outside of math

all of the courses have very different difficulties, and the ones that are together(plenaries) can sometimes be challeniging. Also, it's not like AMSP where comp math is the main focus. It's more about research math or theoretical math(topology, for example)
This post has been edited 1 time. Last edited by DreamineYT, Jan 31, 2025, 3:22 AM
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ZMB038
280 posts
ZMB038
#13 h  Apr 10, 2025, 12:18 PM
Y by
This summer will be my first year going, what's math Path like?
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ZMB038
280 posts
ZMB038
#14 h  Apr 14, 2025, 12:28 PM
Y by
DreamineYT wrote:
lily2030 wrote:
How hard is mathpath?
What is the level that people are at to get in? (in terms of mathcounts, amc 10, amc 8, etc.)

imo i dont think they focus on this very much. I think they focus more on like ur hobbies and stuff because they want u to have a life outside of math

all of the courses have very different difficulties, and the ones that are together(plenaries) can sometimes be challeniging. Also, it's not like AMSP where comp math is the main focus. It's more about research math or theoretical math(topology, for example)

It looks really fun, can't wait to go. I like proofs better than comp math anyway.
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RainbowSquirrel53B
594 posts
RainbowSquirrel53B
#15 h  Apr 15, 2025, 10:30 PM
Y by
ZMB038 wrote:
This summer will be my first year going, what's math Path like?

fun :D you meet lots of cool people
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ZMB038
280 posts
ZMB038
#16 h  Apr 22, 2025, 6:15 PM
Y by
RainbowSquirrel53B wrote:
ZMB038 wrote:
This summer will be my first year going, what's math Path like?

fun :D you meet lots of cool people

Cool, are you going this year?
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