Side By Side Math Puzzles
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On these pages you will find a series of Math Puzzles called the "Side By Side" puzzles. Each puzzle consists of
a series of seven numbers, which may include repeated numbers. The numbers will appear
in a grid like the one shown below:
Your job will be to rearrange the numbers in that row so the result conforms to a "rule". Each
game has its own rule. Rearrange the numbers by clicking the arrows underneath the numbers to move
them either left or right in the row. When you are finished, you can check your solution by clicking
the "Check Solution" button.
Each puzzle can be solved, and most can be solved in more than one way.
In this version of "Side By Side", you must arrange the numbers so that no two
numbers which are side by side add to make one of the other numbers in the row.
In this version of "Side By Side", you must arrange the numbers so that every pair
of side by side numbers is relatively prime. In other words, any two numbers which are
side by side cannot have any common factors besides 1.
This game is very similar to the Addition Game, except that in addition to the rule that
no two side by side numbers can add to make another number in the row, there is a
second rule, that no side by side numbers can subtract to make another
number in the row.
How The Puzzles Were Created
The puzzles were created using a random process; a program was written to
randomly generate a puzzle, and then try to randomly solve it. The program
attempted to solve each puzzle one thousand times, and kept track of how many
valid solutions were found. In each case, if there was at least one solution found
and no more than ten solutions found, the puzzle was stored in a database.
Each version of the game (Addition, Factors, and Expert) has approximately 400 puzzles.
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