How do you solve a 7 by 7 magic square

Figure 5 exchange the pairs in the columns.For that matter, you can always add any arbitrary constant to all 9 cells and get a solution with larger values.Given a little thought, i found that there is a simple calculation to find the magic number of any sized grid:These 6x6 magic squares, even in their normal forms, are quite challenging and good brian teasers for middle school math wizards or even for math saavy adults.You can reduce 15 in a sum of three summands eight times:

However, magic squares can be created that add up to any magic total you like, provided that you know the right formula.Move diagonally, putting successive numbers in empty squares.These 6x6 magic square puzzle worksheets are very difficult.Here we equalise the rows before the columns, the opposite order to that discussed in the text.One of the possible solutions.

The 2 sections above show the solutions for center cell values of 5 and 6.What happens if we try 7 for the value in the center cell?An example of this is given below in the image, where the.The dimension of the square matrix is an (odd integer x odd integer) e.g., 3×3, 5×5, 7×7.Start in the middle of the top row, and let n = 1;

In this case, the magic number is 1+2+…+9 = 45 / 3 = 15.Then rotate and/or reflect it until you get one where the numbers match your given ones.A method for constructing a magic square for odd n is as follows:Sum required for each grid is shown on the left side of the grid.One such choice in the construction of a 6 by 6 magic square is shown in figures 4, 5 and 6 below.

The square is itself having smaller squares (same as a matrix) each containing a number.