The article considers the modular object-oriented dynamic learning environment Moodle which provides a full-fledged and modern study of disciplines, including mathematical ones, satisfying the various needs of teachers and students in the interactivity and effectiveness of learning technologies, developing the ability to work with a large amount of information. The task of creating assignments with variants, which the teacher must grade manually, is implemented. Flexible settings of creating and visibility of assignment variants for students are presented.