Table of contents
1.Frog Hop the Stairs (click to see the sample file) 1
2.Cutting Wood Logs 8
3.
Plant Trees 11
4.
In Which Column Is n 15
5.
Crossing Numbers 23
6.
How Many Tiles Will It Cross 26
7.
How Many Ways to Walk 31
8.Number
of Divisors 38
9.
Number of Square Divisors 42
10.
Hand Shakes 46
11.
Diagonal and Angles of Convex Polygons 53
12.
Last Digit 58
13.Pick's Law 62
14.
The Area of Rectangle 66
15.
Net of A Cube 70
16.
Net of An Octahedron 74
17.
Sum of All Digits 79
18.
Sum of Numbers by Permutations of Digits 84
19.Greatest
Value Not Attained 89
20.
Number Separation 97
21.
Counting Lines 104
22.
Counting Angles 110
23.
Counting Points 114
24.
Counting Triangles With Lines 120
25.Counting Triangles With Dots (click to see sample file) 127
26.
Counting Rectangles With Lines 133
27.
Counting Rectangles With Dots 142
28.Counting
Solids 149
29.
Cutting Regions by Simple Figures 154
30.
Counting Regions by Combined Figures 161
31.
Triangulation of Shapes 167
32.
Digits Arrangement 173
33.Page Numbering 180
34.
How Many Faces Are Painted 183
35.
Tailing Zeros 186
36.
All Your Base 190
37.
Factoring Tricks 195
38.
Denesting Square Root 201
39.The
Balance Pan Problems (click to see sample file) 208
40.Rolling A Circle (click to see the sample) 213
Index 219