Why do solutions assume 30 60 90 triangles?
If you assume 45 45 90 you get 5/6 as answer, don’t you?

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We're Mustang Math, and we are currently recruiting for the 2025-2026 year! If you are a high school or college student and are passionate about promoting an interest in competition math to younger students, you should strongly consider filling out the following form: https://link.mustangmath.com/join. Every member in MM truly has the potential to make a huge impact, no matter your experience!

About Mustang Math

Mustang Math is a nonprofit organization of high school and college volunteers that is dedicated to providing middle schoolers access to challenging, interesting, fun, and collaborative math competitions and resources. Having reached over 4000 U.S. competitors and 1150 international competitors in our first six years, we are excited to expand our team to offer our events to even more mathematically inclined students.

PROJECTS
We have worked on various math-related projects. Our annual team math competition, Mustang Math Tournament (MMT) recently ran. We hosted 8 in-person competitions based in Washington, NorCal, SoCal, Illinois, Georgia, Massachusetts, Nevada and New Jersey, as well as an online competition run nationally. In total, we had almost 900 competitors, and the students had glowing reviews of the event. MMT International will once again be running later in August, and with it, we anticipate our contest to reach over a thousand students.

In our classes, we teach students math in fun and engaging math lessons and help them discover the beauty of mathematics. Our aspiring tech team is working on a variety of unique projects like our website and custom test platform. We also have a newsletter, which, combined with our social media presence, helps to keep the mathematics community engaged with cool puzzles, tidbits, and information about the math world! Our design team ensures all our merch and material is aesthetically pleasing.

Some highlights of this past year include 1000+ students in our classes, AMC10 mock with 150+ participants, our monthly newsletter to a subscriber base of 6000+, creating 8 designs for 800 pieces of physical merchandise, as well as improving our custom website (mustangmath.com, 20k visits) and test-taking platform (comp.mt, 6500+ users).

Why Join Mustang Math?

As a non-profit organization on the rise, there are numerous opportunities for volunteers to share ideas and suggest projects that they are interested in. Through our organizational structure, members who are committed have the opportunity to become a part of the leadership team. Overall, working in the Mustang Math team is both a fun and fulfilling experience where volunteers are able to pursue their passion all while learning how to take initiative and work with peers. We welcome everyone interested in joining!

More Information

To learn more, visit https://link.mustangmath.com/RecruitmentInfo. If you have any questions or concerns, please email us at contact@mustangmath.com.

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Is Zsigmondy's theorem allowed on the IMO, and is it allowed on the AMC series of proof competitions (e.g. USAJMO, USA TSTST)?

Alice the architect and Bob the builder play a game. First, Alice chooses two points and in the plane and a subset of the plane, which are announced to Bob. Next, Bob marks infinitely many points in the plane, designating each a city. He may not place two cities within distance at most one unit of each other, and no three cities he places may be collinear. Finally, roads are constructed between the cities as follows: for each pair of cities, they are connected with a road along the line segment if and only if the following condition holds: Alice wins the game if (i) the resulting roads allow for travel between any pair of cities via a finite sequence of roads and (ii) no two roads cross. Otherwise, Bob wins. Determine, with proof, which player has a winning strategy.

Note: is directly similar to if there exists a sequence of rotations, translations, and dilations sending to , to , and to .

So I got accepted into a summer program and already paid the fee of around $5000 dollars. It's for 8 weeks (my entire summer) and it's in person. I have a few questions
1. If I was to make MOP this year am I forced to attend?
2.If I don't attend the program but still qualify can I still put on my college application that I qualified for MOP or can you only put MOP qualifier if you actually attend the program.

Text display functions
In programs, you can utilize two different display windows: the graphing window and the text window. The graphing window if where graphing and any type of drawing happens, and the text window is for almost everything else (I say almost, because there are list, table and matrix views, which are different beasts in themselves). I will be focusing on the text window display functions which display text and strings.

The first and easiest is just string output. Simply place a string in its own line and it will print in the console. For example,

"TEXT"

just prints out TEXT to the console.
Akin to this is the output function. It is a little triangle in the pgrm menu which acts the same as the simple string output, except that it requires you to press EXE to continue program execution. If the argument is a string, the display is left flushed, but if it is a number or variable, it is right flushed. For example (/ means the output function):

"PRESS EXE"/
3/
"TEXT"

gives

PRESS EXE
                            -Disp-

<Press EXE>

PRESS EXE
                                 3
                             -Disp-

<Press EXE again>

PRESS EXE
                                  3
                             -Disp-
TEXT

Note: if you use the output function as the last call of your program, it will re-display the last outputted value once you press EXE and then exit the program if you press it again.

The last display function, found in the I/O of prgm menu, is Locate. This is my favorite display function because I can put anything I want on the text window anywhere. The syntax is

Locate <COL 1-21>, <ROW 1-7>, <arg (str, var, num etc)>

The following code puts 7 A's in a diagonal line:

Locate 1,1,"A"
Locate 2,2,"A"
Locate 3,3,"A"
Locate 4,4,"A"
Locate 5,5,"A"
Locate 6,6,"A"
Locate 7,7,"A"

A more efficient code using a for loop
Output:

A
 A
  A
   A
    A
     A
      A

For my coding I generally use the first two display functions in computational programs, while I almost exclusively use Locate for any games. I will cover the basic graphing displays in another post.

REVIVAL
The reason I haven't been posting lately is mainly I had a lot of school, but also that when I wasn't doing school I was programming my graphing calculator(s). I have become pretty comfortable with CASIO BASIC have made programs ranging from the quadratic formula to a sub-sinking game.
I will be posting about some of the programs I have created, and some little programming tips for CASIO calculators.

I have a CASIO fx-9750GII and an fx-9860G Slim that I code with BASIC, and a TI Nspire CX II CAS, which supports TI BASIC, Python, and lua scripting (I haven't learned lua, yet). The majority of my posts from here on out will be on CASIO programming, but I might occasionally post a little thing about python or TI BASIC.

Lastly, before I finish, I will give some teasers on what programs I have already completed:

• Drawing a direction field for a two-variable function
• Using Euler's method to approximate the value of a first order DE
• Converting a matrix to its reduced row echelon form
• My own version of Subway-Surfers
• Day-of-the-week finder for date in Gregorian calendar
• Radical simplifier
• Quadratic formula
• Submarine sinking game (ballistic missile game)
• And more...

Hey everyone!
I made a Connect Four (two players) program on my CASIO fx-9750GII using the CASI BASIC programming language.
Here are the features:
Press the left and right arrows to move columns
The EXE button places your chip
When a column is full, the will become a on the column
You win by getting four of the same chips in a row vertically, horizontally or diagonally
Here is some other useful info:
Uses 1084 bytes of memory
119 lines

BAISC code

P.S. I learned CASIO BASIC from the software guide (too large to attach), if anyone is interested. Page 212 (8-1)

Let be a triangle. Find all points on segment satisfying the following property: If and are the intersections of line with the common external tangent lines of the circumcircles of triangles and , then

Let be positive real numbers. Prove that .