This site offers Java implementations of various cryptarithms and alphametrics, as well as the opportunity to send in your favorites. The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based - the more beautiful is the result. This award-winning site offers games and puzzles, quotes, and much more on a variety of topics from arithmetic and algebra to geometry and probability, and includes solutions and the mathematical theory behind each puzzle. An extensive list of Internet sites with significant collections of materials that can be used in the teaching of mathematics at the K-12 level.
Students then look for patterns and write the answer algebraically.
There are 1000 lockers, all shut and unlocked, and 1000 students. Suppose the first student goes along the row and opens every other locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. The fourth student changes the state of every fourth locker beginning with number 4.