Math Four Square Puzzle

The symbols 1 2 3 4 have to be entered into the empty cells in the 4 x 4 square shown below in such a way that each symbol occurs once in every row once in every column and once in every coloured 2 x 2 sub square. Four square math game is an engaging game to help students build number sense. The central four numbers and the four corners also make the same total.

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To make it easier to understand we have applied our algorithm to a small 4 x 4 puzzle but you can apply the same technique to larger puzzles.

Math four square puzzle. However because this is a puzzle the children are not presented with a complete 4 x 4 magic square but by pieces that will make the magic square if they are assembled correctly. 8 13 16 6 puzzle is a very popular puzzle and you can find 8 6 13 8 box puzzle on every social media. The 4x4 magic square puzzles is solved by finding the values that make the sums all rows columns and diagonals equal to the same value. A real math square puzzle however is where the results and operations are given and the student must derive the values that plug into each equation to get the result.

I have provided you the answer of 8 box puzzle solution. This is much more challenging and is nearly impossible with the 5x5 puzzle at this point making it a computer programming exercise might be more relevant. The normal variations of these puzzles in other words 4x4 puzzles that contain only 1 16 in their cells have a magic constant of 34 no matter how the numbers are arranged. The sum is referred to as the magic constant.

Students practice their addition subtraction multiplication and division facts through this game which can be played in stations centers or whole class. So first a statement of the puzzle. I have included an addition variation of the game which is gre.