Toyama Prefectural Public High School Entrance Examination - Mathematics case studies

The Toyama Prefectural Public High School Entrance Examination in Mathematics (富山県公立高等学校入学者選抜 数学) is the mathematics paper taken by students applying to prefectural public high schools in Toyama. It is a school-admission test, not a professional certification: candidates are usually third-year junior high students, and the score contributes to a broader selection that also weighs school records, interviews, and other components set by the prefecture and each school. The paper is written in Japanese and is designed to test the full junior high curriculum - number and algebraic expressions, equations and inequalities, functions and graphs, plane and solid geometry, data handling and probability - with an emphasis on explaining reasoning and constructing proofs rather than only computing answers. Because it is a gatekeeping exam for a limited number of places, accuracy under time pressure and clear written presentation both matter. The Toyama Prefectural Public High School Entrance Examination - Mathematics case studies are 5 cases and about 1,994 words.