From Erdös to Kiev

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 Erdös 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.