magic squares??

Question

build a 3x3 magic square using the numbers 10 through 18. Each number should only be used once, and the vertical, horizontal, and diagonal sums should all be equal. Is this the only magic square that can be made with these values? explain your answer.

Answer 1

Hi,


17..10..15

12..14..16

13..18..11

The numbers in these positions could be rotated by multiples of 90° or could be reflected vertically or horizontally. Essentially it's the same arrangement though.

Answer 2

Try this:

Get a piece of scrap paper that you don't need, and make a 3X3 grid on it. Then write the numbers 1 through 9 in a box. Cut out the pieces of paper and then arrange/rearrange them until you get a magic square (it actually takes about 3 minutes to do when you have it in front of you). Then add 9 to all the numbers, once you get a magic square.

Answer 3

It's easy enough to try to build a magic square using the numbers 1 through 9, then just add 9 to each number in the square. So for example, take
4 - 9 - 2
3 - 5 - 7
8 - 1 - 6
And add 9 to each of these numbers. You can rotate and take mirror images to get new magic squares, unless you don't consider these to be "different" squares.

Answer 4

17 10 15

12 14 16

13 18 11

Answer 5

so a techniques as i be responsive to... a magic sq. is a team of consecutive numbers from a million arranged in a manner that each and all of us numbers are of the comparable sum, horizontally, vertically, and diagonally....

Answer 6

how to do this

solve using the figures 1 to 9

then add on 9 to each figure to get your answer

and there will be more than one answer

Answer 7

see link, then add 9 to each entry.