The Australian Mathematical Society Gazettes Puzzle Corner is a bimonthly column containing a handful of entertaining mathematical puzzles. The puzzles cover a range of difficulties, come from a variety of topics, and require a minimum of mathematical prerequisites to be solved. You can find the Puzzle Corner, as well as the rest of the Gazette online at: http://www.austms.org.au/Gazette+Volume+37+Number+4+September+2010 Please check it out when you feel like trying out random fun problems! Should you happen to solve any, be sure to send your solution to us. In each Puzzle Corner, the reader with the best submission will receive a book voucher to the value of $50, not to mention fame, glory and unlimited bragging rights! Entries are judged on the following criteria, in decreasing order of importance: accuracy, elegance, difficulty, and the number of correct solutions submitted. Please e-mail solutions to ivanguo1986@gmail.com or send paper entries to: Kevin White, School of Mathematics and Statistics, University of South Australia, Mawson Lakes SA 5095 The deadline for submission of solutions for Puzzle Corner 19 is 1 November 2010. The solutions to Puzzle Corner 18 will appear in Puzzle Corner 21 in the March 2011 issue of the Gazette. Thank you! Ivan