Includes bibliographical references.

1. A Surprising Property of the Integer 11 -- 2. An Unexpected Equality -- 3. An Arithmetic Game -- 4. Sangaku -- 5. Pagan Island -- 6. Persistent Numbers -- 7. An Application of van der Waerden's Theorem -- 8. Patruno's Proof of a Theorem of Archimedes -- 9. An Intractable Sun -- 10. A Cyclic Quadrilateral -- 11. An Unlikely Perfect Square -- 12. An Unlikely Symmetry -- 13. Two Famous Diophantine Equations -- 14. Brianchon and Ceva -- 15. Playing on a Polynomial -- 16. Overlapping Quadrants -- 17. The Circle and the Annulus -- 18. On a Balanced Incomplete Block Design -- 19. The Red and White Balls -- 20. A Prime Number Generator -- 21. Neuberg's Theorem -- 22. A Geometric Calculation -- 23. On Cubic Curves -- 24. An Olympiad Practice Problem -- 25. A Quadruple of Consecutive Integers -- 26. A Box-Packing Problem -- 27. An Awkward Integral -- 28. A Matter of Perspective -- 29. Sequences of Nested Radicals -- 30. Equations of Factorials -- 31. An Oft-Neglected Form -- 32. A Theorem of Leon Anne -- 33. Special Pairs of Positive Integers -- 34. An Intriguing Sequence -- 35. That Number Again -- 36. A Rational Function -- 37. An Unexpected Bijection -- 38. An Unruly Sum -- 39. An Interesting Inequality -- 40. A Series of Reciprocals -- 41. On the Least Common Multiple -- 42. A Family of Equations -- 43. Diophantine Reciprocals -- 44. Another Series of Reciprocals -- 45. An Illegible Multiple-Choice Problem -- 46. On the Partition Function p(n) -- 47. Proof by Interpretation -- 48. On O(n) and T(N) -- 49. A Surprising Result about Tilling a Rectangle -- 50. An Amazing Locus -- 51. Moessner's Theorem -- 53. Counting Triangles -- 54. The Probabilistic Method -- 55. An Application of Generating Functions -- 56. On Rat-Free Sets -- 57. A Further Note on Old Morsel 23.

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