How to solve a math magic squares

Magic squares – one of the oldest problems in mathematics. To learn how to solve them, you need to understand the principle. Use the following solution algorithm, which will help you to learn how to deal with this tricky task.

You will need

• paper;
• - a pen or pencil;
• - eraser;
• - the range.

Instruction

1. Draw the magic square on a sheet of paper. If your square is divided into 9 cells, they need to decompose the numbers 1 to 9 so that the sum of the numbers in each column, row and diagonal equal to 15. It is better to draw a square on paper and write the numbers don't pen, and a pencil - so it's easier to make changes and you don't miss strikeout numbers.
2. Write all cells to the digit 5. In this case, of course, the rule of the magic square in which all sides, columns, and diagonal must equal 15, will be observed.
3. Three cells Express the number 5. This can be, for example, the top-left cell, middle left and sure average. In two adjacent cells add to the fives figures 1 and 2, i.e. they have to become 6 and 7.
4. Now finish filling the square. Put in empty squares of the numbers 1, 2, 3, 4, 8, and 9. Remember that the sum of all sides, diagonals and columns must be equal to 15.
5. There is another method – use of symmetry. Draw a square of 5x5 cells. Inside this square, visitors can write consecutive numbers from 1 to 9. In the center should be a number 5.
6. Then "throw" the numbers 1 and 9 using the number 5 and write them next to the number 5, i.e. the unit should stand to the right of the five and nine on the left. Do the same with numbers 3 and 7 (put the top three under five, and a seven – over it).
7. Once you do, you will simply fill the remaining free cells.