Presents questions and answers to the 1985 British Physics Olympiad (BPhO) Competition. Comments about the competition (the second year of British participation) and the winners who went to Yugoslavia (and placed second behind the USSR) are included. (JN)

Two important factors that influence problem solving are the nature of the task and the kind of knowledge brought to the problem by the solver. After a consideration of the definition of a problem, puzzle problems are discussed, as are problem representation and general processes of solution. Also discussed is the question of solving problems that…

Presents six mathematical problems (with answers) which focus on: (1) chess moves; (2) patterned numbers; (3) quadratics with rational roots; (4) number puzzles; (5) Euclidean geometry; and (6) Carrollian word puzzles. (JN)

Masters of worksheets are given that are designed to help students develop the problem-solving skills of analyzing information, identifying the question, and selecting pertinent facts. (MK)

Compared is the mass of a dozen eggs with the mass of air in an empty refrigerator. An answer and reasons for the answer are provided. (YP)

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)

Described is a calculator race that is designed to require a fast touch with the calculator and also the ability to apply mathematical knowledge. Sample questions are given. (MP)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

Four different types of problems from graph theory are presented and discussed. (MK)

Five graded sets of examples of alphametrics are provided. The puzzles are suggested for use in developing the traits of considering all possibilities and systematic working. (MP)

A sequence of numbers from combinatorial theory called the Bell numbers is discussed, along with several problems and examples that demonstrate their usefulness. (MN)

The article outlines a series of mathematical tasks for gifted students (aged 7-12 years), stressing the value of research and inservice education that is firmly teacher and classroom based. (Author/DB)

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

The goals and history of the Mathematical Olympiads for Elementary Schools are described. Teams, levels, and gender are discussed, as well as teacher training, administration, scoring, and awards. Sample problems are included. (MNS)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)