The aim of this study is to define the student mathematical representation of Grade 11 high school in solving linear programming questions based on David Keirsey’s personality type. This research were analyzed through a qualitative description. The research was conducted at Senior High School 1 Jember. Data is obtained based on questionnaires, linear programming research questions and interviews. Subjects based on the similarity of the linear programming test results of each type of personality. Each personality has two subjects of study. The results revealed that Artisan students used mathematical and visual expression representation forms. The Idealist students used mathematical, visual, and verbal representation forms. The Guardian students used only the representation form for mathematical expression. Whereas Rational students used only the representation form of mathematical and verbal expression.