**Henry Wan**,** Ph.D.**

We have developed a comprehensive, integrated, non-redundant, well-annotated database “**CMP**” consisting of competitive math problems, including all previous problems on the AMC 8/10/12, AIME, **MATHCOUNTS**, **Math Kangaroo Contest, ****Math Olympiads for Elementary and Middle Schools**** (MOEMS), **ARML, HMMT, **Math League**, PUMaC, Stanford Math Tournament (SMT). The **CPM** is an invaluable **“big data” system we use for our research and development, and is a golden resource for our students, who are the ultimate beneficiaries.**

We have also devised a **data mining and predictive analytics tool for math problem **

**. Using this powerful tool, we can align query math problems against those present in the target database “**

*similarity searching***CPM**,” and then find those similar problems in the

**CMP**database.

For those hard problems on the 2016 AMC 8, based on the database searching, we have found:

**2016 AMC 8 Problem 21****is completely the same as 2001 AMC 10 Problem 23/2001 AMC 12****Problem 11****2016 AMC 8 Problem 24 is totally the same as****the following problems:***2004*International Schools Mathematics Teachers Foundation (**ISMTF****)***Junior Mathematics Competition – Team Event*Problem 17- Click
to find this problem.**HERE**

- Click
*2005*BRITISH COLUMBIA COLLEGES Senior High School Mathematics Contest,**Final Round, Part B (May 6, 2005) Problem 1**.- Click
to find this problem.**HERE**

- Click
Part B Problem 1*2008*Bermuda S2 US Grade 10 Mathematics Olympiad (May 4, 2008),- Click
to find this problem.**HERE**

- Click

In my AMC 10/12 Prep Class, I ever used Problem #23 on the 2001 AMC 10, as a typical example, to elegantly solve discrete probability problems on the AMC10/12, including the complementary probabilities. There were 23 middle schoolers to attend my AMC 10/12 Prep Class. When they attended the 2016 AMC 8, they already knew how to solve this problem and its answer. So they took one second to bubble the correct answer (B) and then got 1 point easily!

This year’s AMC 8 has a similar difficulty level as last year’s AMC 8; however, it was much more difficult than the AMC 8 of the years before 2015. Because the AMC 8 problems are getting harder, we must practice not only previous AMC 8 problems but also easy or medium difficulty level problems from previous AMC 10 to do well on the AMC 8.

Click * HERE* to see my detailed solutions of the hard problems on the 2016 AMC 8.

Click ** HERE** find out more about Math Competitions!

Click ** HERE** to find out more about SAT Prep!

**Copyright Dr. Henry Wan. All rights reserved****. **