Polya claims that true problem solving is accompanied by the cognitive activities of mobilization, organization, isolation and combination, and by the evaluations of relevancy, proximity, and quality. Evaluations occur as a result of monitoring cognitive activities. According to Polya, these particular cognitive activities are a necessary part of true mathematical problem solving. Furthermore, Polya claims emotion arises from these evaluations. The selection of problems which sample a broad range of mathematical areas and which evoke Polya's cognitive activities is discussed. The problem set presented here may be used as a single instrument, or in subsets of three parallel instruments. The problems are appropriate for students in grades 10 through 14. The problem set is designed for the investigation of mathematical problem solving. (Author/ASK)