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Summary:
When elementary knowledge about divisibility of natural numbers is being taught at elementary schools, word problems are dealt with, whose theoretical base is the Chinese remainder theorem. This theorem can also be used for the solution of more difficult problems. One of them is quoted in this article and is intended mainly for teachers. A set of word problems for sixth- and seventh-grade pupils, whose difficulty increases gradually, is included. Problems based on the Chinese remainder theorem and problems on the divisibility of natural numbers are given.
References:
[1] Juškevič, A. P.: Dějiny matematiky ve středověku. (1977). Praha: Akademia. MR 0525203
[2] Larson, L. C.: Metódy riešenia matematických problémov. (1990). Bratislava: Alfa.
[3] Mathematics Magazine. Vol. 54, No. 5 (1981), 272-284. MR 1572378
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