USAMTS!
Start Working on USAMTS Year 30 Round 1! This is it, team! The first actual official math competition of the season!

- Get the USAMTS Year 30 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. Record your progress in your logs as you go.
- 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 website. 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. The only thing you cannot do is discuss the problem with anyone either directly or indirectly. 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, etc.

These five problems will be due on Monday, October 15, 2018 at 8pm by placing a pdf of your solutions in your Dropbox folder. Note that Note that unless you are still in high school or middle school, you should hand these solutions in to me, not submit them to the USAMTS competition! 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. Problem number one can be easily typed in LaTeX using a table or matrix. Including figures or diagrams from Geogebra or Asymptote to help your exposition is highly encouraged.

If you are currently in high school, in addition to handing in your solutions to me as stated above, you must also officially register for the USAMTS contest itself at the USAMTS website (do that now), and submit your official solutions to them as an official participant.

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 16.

Game on!! Go Scranton Mathletes!