From Erdos to Kiev : problems of Olympiad caliber

Includes index

1. Seven solutions George Evagelopoulos 2. A decomposition of a triangle 3. Aime - 1987 4. A problem from the 1991 AIME examination 5. Nine unused problems from the 1987 International Olympiad 6. Two problems from the 1988 USA Olympiad 7. From the 1988 International Olympiad 8. A geometric gem of Duane DeTemple 9. A Kiev Olympiad problem 10. Some student favorites 11. Four unused problems from the 1988 International Olympiad 12. From the 1988 AIME examination 13. An unused Bulgarian problem on the medial triangle and the Gergonne triangle 14. Two solutions by John Morvay from the 1982 Leningrad High School Olympiad 15. Two solutions by Ed Doolittle 16. From the 1987 Spanish Olympiad 17. A problem from Johann Walter 18. From the 1987 Balkan Olympiad 19. From various Kurschak competitions 20. Two questions from the 1986 National Junior High School Mathematics competition of the People's Republic of China 21. From the 1986 Spanish Olympiad 22. A geometric construction 23. An inequality involving logarithms 24. On isosceles right-angled pedal triangles 25. Two problems from the 1987 Austrian Olympiad 26. From the 1988 Canadian Olympiad 27. A problem on closed sets 28. From the 1987 Austrian-Polish team competition 29. An engaging property concerning the incircle of a triangle 30. On floors and ceilings 31. Two problems from the 1987 International Olympiad 32. On arithmetic progressions 33. A property of triangles having an angle of 30 degrees 34. From the 1985 Bulgarian Spring competition 35. An unused International Olympiad problem from Britain 36. A Romanian Olympiad proposal 37. From the 1984 Bulgarian Olympiad 38. Two Erds̲ problems 39. From the 1985 Bulgarian Olympiad 40. From a Chinese contest 41. A Japanese temple geometry problem 42. Two problems from the Second Balkan Olympiad, 1985 43. A property of pedal triangles 44. Three more solutions George Evagelopoulos 45. The power mean inequality.

Most of the problems in the collection have appeared on national or international Olympiads or other contests ... The problems included in this collection are taken from geometry, number theory, probability, and combinatorics.