Abstract:New attempts were made in the design of 2024 national college entrance examination for mathematics, which includes the adjustment of the structure of the test paper, the highlighting on the innovative nature of the test questions and the selective function of the test questions for finding top innovative talents. The 2024 national college entrance mathematics examination(edition of national new curriculum) is characterized by innovative design, the reduction in the number of examination questions, the change in the order of examination questions layout, a higher degree of selectivity for the examination questions and the originality of test questions. A counting is made of the innovative types of questions and an analysis is made on some types of the innovative questions. The following teaching suggestions are put forward: attention being directed to concept teaching for the graspery of the essence of mathematics; the implementation of problem exploration to cultivate explorative ability; the learning of innovative methods to develop innovative literacy.