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Computer-adaptive testing is a modern method of verifying students' knowledge. In many other fields and disciplines it already is permanently and effectively used, mainly to save time. Mathematics, however, is perceived as traditional and conservative scientific field. Therefore, we can often meet the opinion that electronic tests in mathematics are not an appropriate instrument for testing students. We must remark that due to the nature of the field all the necessary knowledge can really not be tested by tests with the choice of the correct answers. In mathematics we can mention outlining graph of a function. Still, computer-adaptive testing can be used in mathematics to test some partial knowledge. In our opinion, it is very well applicable for continuous testing of knowledge and in larger groups. This is mainly due to the huge time savings. It is important to realize that the basis for electronic testing is a suitable software application. In this paper there is shown how to create examples for computer-adaptive testing. We will not deal directly with examining theoretical knowledge in mathematics. The tests will be focused on the ability to solve arithmetic tasks and on applying theoretical knowledge in solving specific examples. In the paper several aspects of the computer-adaptive testing in mathematics are discussed. The good choice of appropriate examples is studied. The selection on the examples is carried out from two different perspectives. The appropriate choice is illustrated on concrete examples.