Math Answer Magic Square 3x3
Once you have one you can get all the others by turning or flipping the one you found.
Math answer magic square 3x3. This should make solving the early puzzle worksheets pretty easy. I found on a similar question a general way to solve 3x3 magic squares if they had to be filled with the numbers 1 n 2. In one sense this is true in another it is not. It is true because all the 3x3 magic squares are related by symmetry.
Every other pattern is a rotation or reflection. For a 3x3 magic square there is actually only one normal solution and all of the puzzles are derived from rotations or reflections of that puzzle. People normally say there is only one 3x3 magic square. From the upper left the first square on the right is a reflection through the center transposes columns 1 and 3 for example.
Just like any magic square one has to fill in 9 different numbers p 1 p 2 p 9 to a 3 3 grid. In fact there is really only one pattern. There are 8 ways to make a 3 3 magic square. Also if you know a general way to solve a magic square with negative numbers it would be greatly appreciated.
The normal variations of these puzzles the 3x3 puzzles that contain only 1 9 will have a magic constant of 15.