Problems in Arithmetic

The present book contains problems in arithmetic for pupils of the 5th and 6th forms. It includes all the arithmetic problems from the books “Problems in Arithmetic and Visual Geometry (5th Form)”, MCCME Publ., 2020 and “Problems in Arithmetic and Visual Geometry (6th Form)”, MCCME Publ., 2021, as well as 300 additional problems, mostly more difficult ones.

These problems as compared to the ones proposed in the standard textbook in order to truly understand the material are somewhat more difficult. Problems of this kind are sometimes called entertaining or ingenuity problems. Ingenuity can be used to find solutions that cannot be obtained by standard arguments covered in school. The problems are entertaining in the sense that pupils faced with such problems enjoy figuring them out. Of course, not all the problems are simultaneously entertaining and require ingenuity. Some problems in the book are easy, others more difficult.