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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]
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0 replies
jlacosta
Mar 2, 2025
0 replies
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Join my math tutoring server!
Mathmaster1296   2
N a minute ago by Math_Tutoring
Hey guys,
I just created a Discord Server for all kinds of math people to share difficult problems that they are stuck on; hopefully this serves as a place where we can all collectively grow together and try to hone our (competitive) math skills. That being said, please join my server! Here is the link to join:
https://discord.gg/Qpmcar4WV4
2 replies
+1 w
Mathmaster1296
21 minutes ago
Math_Tutoring
a minute ago
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2025 USA(J)MO Cutoff Predictions
KevinChen_Yay   58
N 7 minutes ago by ezpotd
What do y'all think JMO winner and MOP cuts will be?

(Also, to satisfy the USAMO takers; what about the bronze, silver, gold, green mop, blue mop, black mop?)
58 replies
+2 w
KevinChen_Yay
Today at 12:33 PM
ezpotd
7 minutes ago
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Use of ChatGPT on Purple Comet
Toinfinity   1
N 7 minutes ago by RoyalPrince
Hellos everyone,

The rules are kinda unclear. Can we use ChatGPT or other Generative AI on the Puprel Comet exam?????

Thank you
1 reply
Toinfinity
13 minutes ago
RoyalPrince
7 minutes ago
J
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USA Canada math camp
Bread10   22
N 17 minutes ago by akliu
How difficult is it to get into USA Canada math camp? What should be expected from an accepted applicant in terms of the qualifying quiz, essays and other awards or math context?
22 replies
Bread10
Mar 2, 2025
akliu
17 minutes ago
J
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Inequalities
sqing   29
N Today at 1:20 PM by SomeonecoolLovesMaths
Let $ a,b>0 $ and $ \frac{1}{a}+\frac{1}{b}=1. $ Prove that
$$(a^2-a+1)(b^2-b+1) \geq 9$$$$ (a^2-a+b+1)(b^2-b+a+1) \geq 25$$Let $ a,b>0 $ and $ \frac{1}{a}+\frac{1}{b}=\frac{2}{3}. $ Prove that
$$(a+8)(a^2-a+b+2)(b^2-b+5)\geq1331$$$$(a+10)(a^2-a+b+4)(b^2-b+7)\geq2197$$
29 replies
sqing
Mar 10, 2025
SomeonecoolLovesMaths
Today at 1:20 PM
J
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2019 Chile Classification / Qualifying NMO Juniors XXXI
parmenides51   6
N Today at 1:19 PM by bhontu
p1. Consider the sequence of positive integers $2, 3, 5, 6, 7, 8, 10, 11 ...$. which are not perfect squares. Calculate the $2019$-th term of the sequence.


p2. In a triangle $ABC$, let $D$ be the midpoint of side $BC$ and $E$ be the midpoint of segment $AD$. Lines $AC$ and $BE$ intersect at $F$. Show that $3AF = AC$.


p3. Find all positive integers $n$ such that $n! + 2019$ is a square perfect.


p4. In a party, there is a certain group of people, none of whom has more than $3$ friends in this. However, if two people are not friends at least they have a friend in this party. What is the largest possible number of people in the party?
6 replies
parmenides51
Oct 11, 2021
bhontu
Today at 1:19 PM
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Inequalities
sqing   12
N Today at 1:12 PM by sqing
Let $ a,b $ be real numbers such that $ a + b \geq |ab + 1|. $ Prove that$$ a^3 + b^3 \geq |a^3 b^3 + 1|$$Let $ a,b $ be real numbers such that $ 2(a + b ) \geq |ab + 1|. $ Prove that$$26( a^3 + b^3) \geq |a^3 b^3 + 1|$$Let $ a,b $ be real numbers such that $ 4(a + b) \geq 3|ab + 1|. $ Prove that$$148(a^3 + b^3) \geq27 |a^3 b^3 + 1|$$
12 replies
sqing
Mar 8, 2025
sqing
Today at 1:12 PM
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FB = BK , circumcircle and altitude related (In the World of Mathematics 516)
parmenides51   3
N Today at 12:09 PM by AshAuktober
Let $BT$ be the altitude and $H$ be the intersection point of the altitudes of triangle $ABC$. Point $N$ is symmetric to $H$ with respect to $BC$. The circumcircle of triangle $ATN$ intersects $BC$ at points $F$ and $K$. Prove that $FB = BK$.

(V. Starodub, Kyiv)
3 replies
parmenides51
Apr 19, 2020
AshAuktober
Today at 12:09 PM
J
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Polynomial with roots in geometric progression
red_dog   0
Today at 9:54 AM
Let $f\in\mathbb{C}[X], \ f=aX^3+bX^2+cX+d, \ a,b,c,d\in\mathbb{R}^*$ a polynomial whose roots $x_1,x_2,x_3$ are in geometric progression with ration $q\in(0,\infty)$. Find $S_n=x_1^n+x_2^n+x_3^n$.
0 replies
red_dog
Today at 9:54 AM
0 replies
J
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Good Functional equation question
vexploresmathysics   1
N Today at 9:30 AM by jasperE3
If f : R^+ --> R^+ satisfying f(f(x)/y ) = yf ( y ) + (f(x)). Then the value of α such that Sigma K = 1 to n [ 1 / f(K) ] = 420
1 reply
vexploresmathysics
Jul 1, 2024
jasperE3
Today at 9:30 AM
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Functional Equation
AnhQuang_67   2
N Today at 9:03 AM by jasperE3
Find all function $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfying:
$$3f(\dfrac{x-1}{3x+2})-5f(\dfrac{1-x}{x-2})=\dfrac{8}{x-1}, \forall x \notin \{0,\dfrac{-2}{3},1,2\}$$
2 replies
AnhQuang_67
Jan 7, 2025
jasperE3
Today at 9:03 AM
J
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a+b+c=3 ine
jokehim   4
N Today at 8:26 AM by lbh_qys
Problem. Given non-negative real numbers $a,b,c$ satisfying $a+b+c=3.$ Prove that $$\color{black}{\frac{a\left(b+c\right)}{bc+3}+\frac{b\left(c+a\right)}{ca+3}+\frac{c\left(a+b\right)}{ab+3}\le \frac{3}{2}.}$$Proposed by Phan Ngoc Chau
4 replies
jokehim
Mar 18, 2025
lbh_qys
Today at 8:26 AM
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IOQM P5 2024
SomeonecoolLovesMaths   13
N Today at 8:10 AM by quasar_lord
Let $a = \frac{x}{y} +\frac{y}{z} +\frac{z}{x}$, let $b = \frac{x}{z} +\frac{y}{x} +\frac{z}{y}$ and let $c = \left(\frac{x}{y} +\frac{y}{z} \right)\left(\frac{y}{z} +\frac{z}{x} \right)\left(\frac{z}{x} +\frac{x}{y} \right)$. The value of $|ab-c|$ is:
13 replies
SomeonecoolLovesMaths
Sep 8, 2024
quasar_lord
Today at 8:10 AM
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IOQM P4 2024
SomeonecoolLovesMaths   8
N Today at 8:04 AM by quasar_lord
Let $ABCD$ be a quadrilateral with $\angle ADC = 70^{\circ}$, $\angle ACD = 70^{\circ}$, $\angle ACB = 10^{\circ}$ and $\angle BAD = 110^{\circ}$. The measure of $\angle CAB$ (in degrees) is:
8 replies
SomeonecoolLovesMaths
Sep 8, 2024
quasar_lord
Today at 8:04 AM
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J
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College Math Competitions
gavinhaominwang   6
N Mar 19, 2025 by xHypotenuse
What are the major competitions that take place at college? For example HMMT.
6 replies
gavinhaominwang
Mar 19, 2025
xHypotenuse
Mar 19, 2025
J
College Math Competitions
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gavinhaominwang
73 posts
gavinhaominwang
#1 h  Mar 19, 2025, 1:39 AM
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What are the major competitions that take place at college? For example HMMT.
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jkim0656
297 posts
jkim0656
#2 h  Mar 19, 2025, 1:56 AM
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umm harvard-mit?
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PojoDotCom
124 posts
PojoDotCom
#3 h  Mar 19, 2025, 2:04 AM
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SMT (Stanford Math Tournament)
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sadas123
1065 posts
sadas123
#4 h  Mar 19, 2025, 2:13 AM
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Duke and Berkley Math tournaments.
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kamuii
225 posts
kamuii
#5 h  Mar 19, 2025, 2:14 AM
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CMIMC, ARML, PUMAC, Harvey Mudd - Caltech
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EaZ_Shadow
1109 posts
EaZ_Shadow
#6 h  Mar 19, 2025, 3:10 AM
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gavinhaominwang wrote:
What are the major competitions that take place at college? For example HMMT.

Putnam Lowell
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xHypotenuse
739 posts
xHypotenuse
#7 h  Mar 19, 2025, 7:41 AM • 1 Y
Y by KevinChen_Yay
SCMC, HMMT, SMT, BMT CMIMC, Harvey Mudd, PUMAC
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