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1 | The article consideres the possibilities of computer tests developed in the system “Iren” and training environment MOODLE. Describes the types of training tests: practice tests, theory tests and home task tests. Provides the basic types of test tasks in both systems: multiple choice (with one or several answers), completion, matching, ordering and classification tasks. It is shown that both systems are a powerful tool in preparation of the tests and in testing. Considers in detail such differences in the preparation of the tests in the system “Iren” and MOODLE, which are important in creation of educational tests in mathematical disciplines, such as: the introduction of variability in tasks by setting a random numeric values using mathematical formulas, the ability to create tasks connected by the same numerical parameters. The problem of both systems consists in the lack of accessibility for students. Keywords: training test, test program, the program complex “Iren”, training environment MOODLE | 830 |