Mathcounts Tips for Beginners
(PDF file, not hard copy)
This book teaches you 40 important math tips that are very effective for solving many Mathcounts problems.
The book is for students who are new to Mathcounts competitions but can certainly benefit students who are competing at state and national levels.
About the Authors:
Yongcheng Chen is an environmental engineer with a Ph.D. degree in Engineering.
Jane Chen graduated from Stanford University. She is the co-author of the recent publication by Mathcounts Foundation: “The Most Challenging Mathcounts Problems Solved”.
Click below to order the pdf file for $19.99. Once you have placed your order, an email will be sent to your email address with a custom download link to the file.
Table of Contents
Chapter 1. Frog Hop the Stairs (click to read chapter)1Chapter 2. Cutting Wood Logs 8
Chapter 3. Plant Trees11
Chapter 4. In Which Column Is n15
Chapter 5. Crossing Numbers23
Chapter 6. How Many Tiles Will It Cross 26
Chapter 7. How Many Ways to Walk 31
Chapter 8. Number of Divisors 38
Chapter 9. Number of Square Divisors42
Chapter 10. Hand Shakes46
Chapter 11. Diagonal and Angles of Convex Polygons53
Chapter 12. Last Digit58
Chapter 13. Pick's Law62
Chapter 14. The Area of Rectangle66
Chapter 15. Net of A Cube70
Chapter 16. Net of An Octahedron 74
Chapter 17. Sum of All Digits79
Chapter 18. Sum of Numbers by Permutations of Digits84
Chapter 19. Greatest Value Not Attained 89
Chapter 20. Number Separation97
Chapter 21. Counting Lines104
Chapter 22. Counting Angles110
Chapter 23. Pythagorean Theorem and triangles114
Chapter 24. Counting Points120
Chapter 25. Counting Triangles With Lines (click to read chapter)127Chapter 26. Counting Triangles With Dots 133
Chapter 27. Counting Rectangles With Lines142
Chapter 28. Counting Rectangles With Dots149
Chapter 29. Cutting Regions by Simple Figures 154
Chapter 30. Counting Regions by Combined Figures 161
Chapter 31. Triangulation of Shapes 167
Chapter 32. Digits Arrangement173
Chapter 33. Page Numbering180
Chapter 34. How Many Faces Are Painted 183
Chapter 35. Tailing Zeros186
Chapter 36. All Your Base190
Chapter 37. Factoring Tricks195
Chapter 38. Denesting Square Root 201
Chapter 39. The Balance Pan Problems (click to read chapter)208Chapter 40. Rolling A Circle (click to read chapter)213
Index 219