8.3: Wonder Play Grow - Digit Disguise

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Digit Disguise

DIGIT DISGUISES: A game of algebraic deduction by David K Butler 2019

$A labeled diagram titled "MINE" showing a 2x5 grid of blocks labeled A to J. Each block has two smaller, empty rectangles inside it. The top row contains blocks A to E, and the bottom row contains blocks F to J. The entire grid is outlined with a thick black border and has a light blue background.$

Set Up

 Each player/team take a sheet, and without letting the other player see, write the ten digits 0 to 9, each in a separate box in the "MINE" grid.
 Set up so you can write in the “THEIRS” grid without the other player/team seeing the “MINE” grid. (See reverse side for more instructions.)

How to Play

 Each number has been disguised as a letter. You need to find out which number each of the other player/team’s letters is.
 On your turn, ask for the result of a calculation involving exactly two different letters and one of the operations +, -, ×, ÷. Some examples are A – B or C÷J or H+D or E×G.
 The other player/team answers your question truthfully, either telling you which of their letters is the result, or telling you the result is not a letter. Nobody ever says a number.
 You can write notes in response anywhere on the paper if you like.
 Now it is the other player/team’s turn.
 Once during the game, instead of asking for a calculation, you can say what number you think goes with every letter. If you are right, you win! If you are wrong, you lose! Either way the game is over.

$A labeled diagram titled "THEIRS" showing a 2x5 grid of blocks labeled A to J. Each block has two smaller, empty rectangles inside it. The top row contains blocks A to E, and the bottom row contains blocks F to J. The entire grid is outlined with a thick black border and has a light blue background.$

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