Tuesday, October 5, 2010

2nd Junior Balkan Mathematical Olympiad Problems 1998

1.  The number 11...122...25 has 1997 1s and 1998 2s. Show that it is a perfect square. 2.  The convex pentagon ABCDE has AB = AE = CD = 1 and angle ABC = angle DEA = 90o and BC + DE = 1. Find its area. 3.
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