The publication is a guide for preparation for external independent evaluation (EIE) both in groups and individually. All theoretical and practical material is divided into 16 topics and repetitions before the final test. 16 thematic tests and a mock (final) test are issued separately as “Tests. Appendix to the manual "Complete course of preparation for EIT in mathematics". All tests are presented in two versions. A separate publication "Solutions to key and complex problems from the manual" Complete course of preparation for external evaluation in mathematics "" contains solutions to most problems and answers to all test tasks. It is necessary for those who are preparing for the external examination in mathematics. All topics are compiled in accordance with the EIT program in mathematics. The manual is addressed to students of graduating classes of schools, gymnasiums, lyceums, technical schools, colleges, graduates of previous years, who need to pass the external examination in mathematics to enter higher education. The publication can be used in lessons, extracurricular activities and, especially, in the system of pre-university training.