Descriptions of Papua New Guinea's national high schools, grade 12 major/minor mathematics courses, and an analysis of the 1980 and 1981 major/minor course examination results are presented. The analysis is intended for use by post year 12 lecturers/instructors planning their courses. Findings indicate that topic scores were far too low for these instructors to have confidence that their students have a good command of the subject matter in the year 12 syllabus. The major conclusion is that there should be a reduction in the amount of work covered in the year 12 mathematics syllabi. It is recommended that the topics of calculus and vectors be omitted from the major syllabus and that more time be spent teaching such topics as algebra, analytical geometry, and graphs/curves. If students have a better grasp of algebra and graphs, the author suggests that work now completed in the topics of calculus and vectors could be covered more quickly, and with more relevance to other aspects of mathematics, by the post year 12 lecturers. (Included in appendices are major/minor course syllabi, copies of 1980 and 1981 major/minor examinations, and a brief outline of year 10 selection procedures.) (JN)