Solutions to Calendar

Problems 1, 8, 10, and 24 were submitted by Stanley F. Taback, Lehman College—CUNY, Bronx, NY 10468-1589, and Jennifer Taback, University of Chicago. Problems 2–5 appear in the article “Mathematics Competitions for Students under 15 in Austria,” which appears in Mathematics Competitions (8 [1995]), a journal of the World Federation of National Mathematics Competitions. The authors, Robert Geretschläger and Gottfried Perz, granted permission to include the problems. Robert Geretschläger may be reached at Bundesrealgymnasium, Keplerstrasse 1, A-8020 Graz, Austria. Gottfried Perz teaches at Pestolozzigymnasium in Graz, Austria. Problems 6 and 7 were contributed by Alton T. Olson and Lynn Gordon, University of Alberta, Edmonton, AB T6G 2G5. Problems 9, 14, 16, and 28 were originally prepared by Eileen Shannon for the Hamilton Junior Mathematics Contest. They were subsequently contributed for the February Calendar by Eileen Shannon, Westmount Secondary School, Hamilton, Ontario. Problems 11–13 were contributed by Catherine Gorini and Eric Hart, Maharishi International University, Fairfield, IA 52557-1052, and Teddy Hirsch, Maharishi School, Fairfield, IA 52556. Problems 15, 17–20, 22, 25, and 26 were submitted by Patricia A. Brosnan, Ohjo State University, Columbus, OH 43210-1172. The problems were created by students James A. FitzSimmons, Ji Yon Kim, Marsha Nichol, and Ronnie Pavlov. Problems 21 and 23 were contributed by William K. Tomhave, Concordia College, Moorhead, Minnesota. Major assistance was provided by Charles Heuer, Gerald Heuer, and Roger Ragland, all of Concordia College. Problem 27 appeared ill the 1995 Invitational Mathematics Challenge (Grade 10), a contest prepared by the Canadian Mathematics Competition, University of Waterloo, Waterloo, ON N2L 3Gl.