Wednesday, September 29, 2010
10th Mexican Mathematical Olympiad Problems 1996
10th Mexican Mathematical Olympiad Problems 1996A1. ABCD is a quadrilateral. P and Q are points on the diagonal BD such that the points are in the order B, P, Q, D and BP = PQ = QD. The line AP meets BC at E, and the line Q meets CD at F. Show that ABCD is a parallelogram iff E and F are the midpoints of their sides. A2. 64 tokens are numbered 1, 2, ... , 64. The
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