[ 9 ] [ 2 ] [ 7 ][ 4 ] [ 6 ] [ 8 ][ 5 ] [10 ] [ 3 ]
Take any valid 4 x 4 magic square. For example: 9 6 3 16 4 15 10 5 14 1 8 11 7 1 10 16 Decrease every number by 6, so that the smallest number you will find in the square is -5, and the largest number in the square will be 10. This is a valid magic square for the set of numbers given and can be rotated any of four ways, and reflected either of two ways.
To make a fraction magic square, start by filling in the grid with fractions so that each row, column, and diagonal has the same sum. Use different fractions that have the same sum but different denominators to create a variety of solutions. You can also adjust the value of the fractions to make the magic square more challenging.
Here's an idea: Why not simply draw an ordinary 3 x 3 magic square with the numbers 1 through 9, then in each cell, draw a line under the number and add a denominator of 10. Bingo. You have a magic square comprised of the fractions 1/10 through 9/10, and the universal sum is 1.5 instead of 15. Something along those lines.
10*10 = 100 of them.
[ 9 ] [ 2 ] [ 7 ][ 4 ] [ 6 ] [ 8 ][ 5 ] [10 ] [ 3 ]
Take any valid 4 x 4 magic square. For example: 9 6 3 16 4 15 10 5 14 1 8 11 7 1 10 16 Decrease every number by 6, so that the smallest number you will find in the square is -5, and the largest number in the square will be 10. This is a valid magic square for the set of numbers given and can be rotated any of four ways, and reflected either of two ways.
To make a fraction magic square, start by filling in the grid with fractions so that each row, column, and diagonal has the same sum. Use different fractions that have the same sum but different denominators to create a variety of solutions. You can also adjust the value of the fractions to make the magic square more challenging.
Here's an idea: Why not simply draw an ordinary 3 x 3 magic square with the numbers 1 through 9, then in each cell, draw a line under the number and add a denominator of 10. Bingo. You have a magic square comprised of the fractions 1/10 through 9/10, and the universal sum is 1.5 instead of 15. Something along those lines.
10*10 = 100 of them.
3x3 magic square 25 total
its impossible because in a 4 by 4 magic square u need 16 numbers u cant do it with just 0-9
Yes. Simply take a square with one and add the same number to each one of the numbers in it.
Start with a magic square which includes the number 3. Then either: Add 3 to each number, or Multiply each number by any integer other than 3.
10 000
The constant is 34.
Just take any magic square, and multiply every number by 5. Here you will get another magic square with all numbers multiples of 5.