:Description
Table of Contents
Chapter 1. Frog Hop the Stairs (click to read chapter)1
Chapter 2. Cutting Wood Logs8
Chapter 3. Plant Trees11
Chapter 4. In Which Column Is n15
Chapter 5. Crossing Numbers23
Chapter 6. How Many Tiles Will It Cross26
Chapter 7. How Many Ways to Walk31
Chapter 8. Number of Divisors38
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 Octahedron74
Chapter 17. Sum of All Digits79
Chapter 18. Sum of Numbers by Permutations of Digits84
Chapter 19. Greatest Value Not Attained89
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)127
Chapter 26. Counting Triangles With Dots133
Chapter 27. Counting Rectangles With Lines142
Chapter 28. Counting Rectangles With Dots149
Chapter 29. Cutting Regions by Simple Figures154
Chapter 30. Counting Regions by Combined Figures161
Chapter 31. Triangulation of Shapes167
Chapter 32. Digits Arrangement173
Chapter 33. Page Numbering180
Chapter 34. How Many Faces Are Painted183
Chapter 35. Tailing Zeros186
Chapter 36. All Your Base190
Chapter 37. Factoring Tricks195
Chapter 38. Denesting Square Root201
Chapter 39. The Balance Pan Problems (click to read chapter)208
Chapter 40. Rolling A Circle (click to read chapter)213
Index
