Summer is a great time to explore cool problems to keep your skills sharp!  Schedule a class today!

G
Topic
First Poster
Last Poster
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.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21

Introduction to Algebra A Self-Paced

Introduction to Algebra A
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Tuesday, Jun 10 - Aug 26

Calculus
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

AIME Problem Series A
Thursday, May 22 - Jul 31

AIME Problem Series B
Sunday, Jun 22 - Sep 21

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!


MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
0 replies
jlacosta
May 1, 2025
0 replies
Brain Breaker
nellis25   19
N Today at 12:44 AM by mindstorm562
This multiple choice question has at least one correct answer. If you guessed at random, what is the probability your answer would be incorrect?

\begin{align*}
{\color{blue}{\textrm{A: }}} &\quad 0 &{\color{red}{\textrm{E: }}} &\quad 1/4    \\
{\color{red}{\textrm{B: }}} &\quad 1/4 &{\color{blue}{\textrm{F: }}} &\quad  1/8  \\
{\color{blue}{\textrm{C: }}} &\quad  1/2 &{\color{red}{\textrm{G: }}} &\quad 3/4  \\
{\color{red}{\textrm{D: }}} &\quad 3/4   &{\color{blue}{\textrm{H: }}} &\quad 1 
\end{align*}
[center]IMAGE[/center]
19 replies
nellis25
Jul 26, 2021
mindstorm562
Today at 12:44 AM
NEAR vs. EARN
nellis25   49
N Today at 12:41 AM by mindstorm562
In a dark corner at AoPS headquarters, a monkey is randomly pressing keys on a typewriter. If the monkey ever types the word NEAR, then it will be rewarded with a chocolate-covered banana. But if the monkey ever types the word EARN, then it will be immediately promoted and given a nice corner office. Which is more likely to occur first?

[center]IMAGE[/center]
49 replies
nellis25
Jul 20, 2020
mindstorm562
Today at 12:41 AM
Triangle in a Grid
nellis25   13
N Yesterday at 7:07 PM by PompTart
Do there exist three lattice points in the coordinate plane, which form the vertices of an equilateral triangle? (A lattice point is a point where both coordinates are integers.)

[center]IMAGE[/center]
13 replies
nellis25
Jul 20, 2020
PompTart
Yesterday at 7:07 PM
Angle in a Square
nellis25   11
N Yesterday at 12:35 PM by PompTart
In square $ABCD,$ $M$ is the midpoint of side $\overline{AB}$ and $N$ is the midpoint of side $\overline{BC}.$ Let $P$ be the intersection of $\overline{AN}$ and $\overline{DM}.$ Find $\angle BPM.$

[center]IMAGE[/center]
11 replies
nellis25
Jun 29, 2020
PompTart
Yesterday at 12:35 PM
Two Rings in Space
nellis25   10
N Tuesday at 8:08 PM by PompTart
Given a regular octahedron where all the edge lengths are 2, the incircle of one face is drawn (shown in red), and the circumcircle of an adjacent face is also drawn (shown in yellow). Find the shortest distance between a point on the red circle and a point on the yellow circle.


[center]IMAGE[/center]
10 replies
nellis25
Jul 13, 2020
PompTart
Tuesday at 8:08 PM
Age Conundrum
nellis25   16
N May 26, 2025 by mindstorm562
The sum of Dancer's, Dasher's, and Prancer's ages is 60. When Prancer was born, Dasher's age was double that of Dancer's. How old is Dancer today?

[center]IMAGE[/center]
16 replies
nellis25
Nov 30, 2021
mindstorm562
May 26, 2025
The Points Don't Matter
devenware   51
N May 22, 2025 by PompTart
1000 points are placed on the plane. Can you always draw a line $\ell$ such that the two regions on either side of $\ell$ (excluding $\ell$) contain exactly 500 points each?
[center]
IMAGE
[/center]
51 replies
devenware
Apr 13, 2020
PompTart
May 22, 2025
Squares of Heptagons
nellis25   2
N May 21, 2025 by PompTart
A regular heptagon is divided as shown, where each variable or number denotes the length of the segment closest to it. What is $a^2+b^2+c^2?$

[center]IMAGE[/center]
2 replies
nellis25
Aug 30, 2021
PompTart
May 21, 2025
What's the Point
nellis25   13
N May 21, 2025 by PompTart
Grogg is trying to draw an equilateral triangle $\triangle ABC$ with a special point $P$ inside the triangle, so that $AP = 1, BP=2,$ and $CP=3.$ Can he do it? If so, what's the side-length of his triangle? If not, why not?
13 replies
nellis25
Sep 7, 2021
PompTart
May 21, 2025
Picking Probability
nellis25   24
N May 21, 2025 by PompTart
Grogg picks a real number between 0 and 1. Alex picks a real number between 1 and 2. What is the probability that Alex's number is more than double Grogg's number?

[center]IMAGE[/center]
24 replies
nellis25
Sep 13, 2021
PompTart
May 21, 2025
a