Abstract
This chapter discusses arithmetical pastimes. Arithmetical problems are those problems, the solution of which is not connected with any theory, and requires the ingenuity and patience of the solver. Problems of this kind include the search for interesting relationships between numbers, for numerical curiosities. The following are examples of arithmetical pastimes: distribute symbols of arithmetical operations and brackets between the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 without changing their order in such a way that the result should be a given number N. One could take some number and try to represent it in all possible ways; distribute the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 in given schemes in such a way that on carrying out the operations that are indicated, correct equalities are obtained; distribute the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 in such a way that the product of three three-digit numbers is as great as possible or as small as possible.
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