Cryptarithms

A type of mathematical puzzle in which the digits of an arithmetic exercise are replaced by lette

Course outline

A recreational mathematics magazine published from Belgium once introduced a cryptarithm in the following manner - "Cryptographers, to hide the meanings of messages, put digits in place of letters. As a form of retaliation, we will replace each digit of the following exercise with a letter." Cryptarithms are mathematical puzzles in which the digits appearing in an arithmetic exercise are replaced by letters, or sometimes by blank boxes. The task of the problem-solver is to reconstruct all the missing digits of the original exercise. In this course, we will look at cryptarithms built from addition, subtraction, multiplication and division exercises. Solving cryptarithms is like doing challenging detective work, and it can thus not only help children enjoy analyzing arithmetic exercises (which can otherwise seem boring), but can be a fun challenge even for adults.

Prerequisites

A basic knowledge of how to add, subtract, multiply and divide whole numbers is all that you need, in addition to some logical reasoning.

Syllabus
1. What is a cryptarithm?