In this article, the authors would like to look at a range of solutions submitted by Year 4-5 teams in the 2003 "Naturally Mathematical Challenge" to a question that involves no more than the numbers 1 to 6 and possible arrangements of them. In the context of other competition questions and in their elaboration of mathematical process, they have described the way in which Polya's four step heuristic for problem solving, now popularly known as the "See, Plan, Do, Check model", can be used by students not only to guide their initial thinking, but also as a framework for reporting on their method of solution. This article shows how the model can be used effectively by students in the middle primary years; but not all teams adhere to the model, and the authors also give examples where a "guess and check" approach is used, and they point out the severe limitations of this approach. In contrast, they also show how a systematic listing of possibilities can lead to a very complete solution.