ZIML Math Competition Book Varsity Division 2016-2017

Each month during the school year, Areteem Institute hosts the online Zoom International Math League (ZIML) competitions. Students can compete in one of five divisions based on their age and mathematical level.

The ZIML monthly contest are held at https://ziml.areteem.org.

• Varsity: The top division. Covers material on the level of the last 10 questions on the AMC 12 and AIME level. This division is open to all age levels.
• Junior Varsity: The second highest competition division. Covers material at the AMC 10/12 level and State/National MathCounts level. Note that material such as complex numbers, advanced trigonometry, and logarithms are not required at this level. This division is open to all age levels.
• High School (Division H): This division focuses on material from a standard high school curriculum. It covers topics up to and including pre-calculus. This division will serve as excellent practice for students preparing for the math portions of the SAT or ACT. This division is open to all age levels.
• Middle School (Division M): This division focuses on problem solving using math concepts from a standard middle school math curriculum. Covers material on the level of AMC 8 and School/Chapter MathCounts. This division is open to all students who have not started grade 9.
• Upper Elementary (Division E): This division focuses on advanced problem solving with mathematical concepts from upper elementary school. Covers material at a level comparable to MOEMS Division E. This division is open to all students who have not started grade 6.

This book is suitable for middle school and high school students who wants to challenge themselves with math problems that require in-depth problem-solving skills. It contains the problems, answers, and full solutions from the nine ZIML Varsity Division Competitions held during the 2016-2017 School Year. The general difficulty of the problems are comparable to hard AMC 12 and AIME problems. No knowledge of calculus is required for solving the problems. The book is divided into three parts:

1. The complete Varsity Division ZIML Competitions (20 questions per competition) from October 2016 to June 2017.
2. The solutions for each of the competitions, including detailed work and helpful tricks.
3. An appendix including the topics and knowledge points covered for Varsity Division, a glossary including common mathematical terms, and answer keys for each of the competitions so students can easily check their work.

The questions found on the ZIML competitions are meant to test your problem solving skills and train you to apply the knowledge you know to many different applications. We hope you enjoy the problems!

Dr. Kevin Wang is a co-founder and the Academic Director at Areteem Institute, a WASC-accreditted educational organization. He holds a Ph.D. in Mathematics from the Pennsylvania State University, and has broad experiences in academia and industry. With great passion in STEM education, he devotes his efforts in developing curricula and educational systems to not only help the top-performing students, but also bring the less experienced students into the wonderful world of math and science. He has coached many students who eventually reached the very top of major national and international math and science competitions. Dr. Wang himself was a former China Team member for the International Mathematical Olympiad.

Kelly Ren is a co-founder and the Program Director at Areteem Institute. Ms. Ren has a B.S. degree in Physics, and a Master's Degree in Electrical Engineering from Pennsylvania State University. Her visionary and leadership skills led her to positions in business and management in high tech, software and financial services companies. Ms. Ren also teaches math and science courses at Areteem; her logical and clear instruction has resulted in both parents and students coming back for more. She served as Grand Awards Judge at the Intel Science and Engineering Fair, as well as judges at various state and local level science fairs.

John Lensmire is the Curriculm Director at Areteem Institute. John received his Masters of Arts in Mathematics at the UCLA in 2015 and his B.A in Mathematics with high distinction and a Minor in Computer Science at the University of Minnesota, Twin Cities in 2010. In 2011, he participated in a Symposium on Theoretical Aspects of Computer Science held in Dortmund, Germany. John also was in the 11th percentile in North America for the Lowell Putnam Mathematics Competition.

David Reynoso is a dedicated educator and works as an academic specialist developing our math curriculum. He received his Masters in Mathematics from the University of Maryland at College Park and his Bachelors in Mathematics from the University of Guanajuato. While at the University of Maryland, he taught many courses including College Algebra and Trigonometry, Probability and Elementary Mathematical Models. In middle school he won the Silver medal twice in the Mexican Mathematical Olympiad.

For information about Areteem Institute, visit http://www.areteem.org.