Modular arithmetic is used to show that there is at least one Friday the 13th in every year. A case-by-case proof is outlined and a proof of the general case is given. (DT)

An analysis is made of overall probabilities of juries making the correct decisions when the juries vary in size from two to beyond five. (DT)

The possibility of non-transitivity of preference choices is discussed. One example each from voting and from sports demonstrate some conditions where transitivity does not hold. Suggestions are made for using this type of problem in the classroom. (LS)

Discussed are techniques of presentation and solution of the Classical Cake Problem. A frosted cake with a square base is to be cut into n pieces with the volume of cake and frosting the same for each piece. Needed are minimal geometric concepts and the formula for the volume of a prism. (JP)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Outlines a guided discovery activity for ascertaining the conditions which allow for the correct tracing of networks. (JP)

A discussion of some number patterns which arose from a consideration of the number of diagonals of a general polygon. (MM)

A Norman window consists of a semi-circular section mounted surmounting a rectangular section. Modifications to a simple problem are presented that assume parts of the window are made with stained glass. The goal is to maximize the level of light transmission with a fixed perimeter. (MP)

Ideas and activities are presented which are designed to help students gain better understanding of area and area formulas. It is felt many pupils have developed extremely vague or false notions about the concepts, and fail to understand why areas of certain regions can be determined through linear measurement tools. (MP)