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Numerical and statistical methods are frequently used as a research tool in technical fields and are therefore an important part of studies within technical study programmes. The COVID-19 pandemic has affected university education resulting in the distance form of education. Experience has shown that to train the application of numerical and statistical methods as well as to create homework, which is a condition for students to complete subjects, it is important to provide a large number of exercises and tasks. The work describes a model of automated study materials design using computer technology with emphasis on optimizing the design in terms of three optimization conditions: any number of exercises and tasks, minimizing the design time required and a sufficient variety of exercises and tasks. Free Pascal programming language and the LaTeX typographic system were used as the basis for the model.