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Read full issue - Canadian Mathematical Society

Read full issue - Canadian Mathematical Society

Read full issue - Canadian Mathematical

THE ACADEMY CORNER No. 20 Bruce Shawyer 257 All communications about this column should be sent to Bruce Shawyer, Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada. A1C 5S7 THE BERNOULLI TRIALS 1998 The Bernoulli Trials, an undergraduate mathematics competition, was held Saturday, March 7 at the University of Waterloo. This is the second year for this event, which is a double knockout competition with \true" or \false" as the answers on each round. The participants have 10 minutes for each question, and drop out after their second incorrect answer. There were 29 student participants in the competition, which lasted 4 hours and 16 rounds. The winner was third year student Frederic Latour. Second place went to rst year student Joel Kamnitzer, and third and fourth to Richard Hoshino and Derek Kisman. In keeping with the nature ofthe answers required, the prizes were awarded in coins: 100 toonies for rst place, 100 loonies for second, and quarters for third and fourth. Ian Goulden and Christopher Small 1. In the gure below, the two circles are tangent at A. The point C is the center of the larger circle, and FC is perpendicular to AB. The line segment DB is of length 9, and the line segment FE is of length 5. A E F C D TRUE OR FALSE? The diameter of the larger circle is less than or equal to 49. B

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