This worksheet examines the use of Kolomogorov-Smirnov (K-S) statistics and presents MAPLE implementations of their distributions under different conditions and assumptions.  The presentation aims at being representative rather than comprehensive, and so may serve as an introduction to the properties and use of K-S statistics.  The worksheet draws on existing work listed in the References section, and it implements transcriptions (by the author of this worksheet) of certain algorithms given in a subset of those references.