USAMTS!
Start Working on USAMTS Year 32 Round 1! This is it, team! The first actual official math competition of the season!

- Get the USAMTS Year 32 Round 1 Problems!
- Read all of the problems carefully now! That will load them into your brain and allow ideas to simmer to the surface.
- Start working on them now.
- Write up a brief (one or two paragraphs per problem) initial progress report to hand in on Tuesday in class. For each of the five problems you should give your initial impressions, and discuss which strategies or problem solving mindsets from Zeitz you think might be helpful as a possible initial approach. If you solve any, don’t hand in your solution, just discuss what problem solving strategies, if any, you used.
- Be patient! Be confident! Don’t give up easily!!

**Rules:** This will be a major consideration in determining your grade in this course, similar to a take-home exam (except that you have more than five weeks to work on it!). We will follow the contest rules stated at the USAMTS website. Read them carefully! You can use reference books, online math references (that don’t involve asking another human being), calculators, Maple, spreadsheets, Geogebra, mechanical models, rulers, protractors, etc. to solve these problems. What you cannot do is discuss the problem with anyone either directly or indirectly (including each other). You can not ask me questions about the problems to clarify the problem statement and so on, but you can ask me to explain Playbook facts, general mathematical terminology, theorems, and any questions about LaTeX.

These five problems will be due on Monday, October 19, 2020 at 10pm Eastern time by placing a pdf of your solutions in your Dropbox folder. Note that you should hand these solutions in to me, not submit them to the USAMTS competition! Undergraduates are not eligible for this contest, only high school students. Do not write more than one solution on a single sheet of paper (a single problem solution can be on multiple sheets of paper). Neatness counts for this training workout. LaTeX solutions are required. You should use the official LaTeX template provided at the bottom of that page at the USAMTS website. I will answer any LaTeX or Overleaf questions you have. I will try to provide you with a LaTeX template for answering Problem number one. Including figures or diagrams from Geogebra or Asymptote to help your exposition is highly encouraged.

I will grade it according to the rules of the USAMTS contest. In particular, rule #14 says “Each solution will be given a score of 0, 1, 2, 3, 4, or 5. Solutions will be graded both on mathematical correctness and on writing style.” No solutions will be graded before the due date of October 19.

Game on!! Go Scranton Mathletes!