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What is the sum of a 3×3 magic square?

What is the sum of a 3×3 magic square?

The Magic 3×3 Square top In a magic square you have to add 3 numbers again and again. Therefore the average sum of three numbers is 45:3=15. The number 15 is called the magic number of the 3×3 square. You can also achieve 15, if you add the middle number 5 three times.

How many 3×3 magic squares exist?

There are 8 possible magic squares for 3 X 3 matrix.

How do you calculate a magic square?

Magic Square Solution

  1. List the numbers in order from least to greatest on a sheet of paper.
  2. Add all nine of the numbers on your list up to get the total.
  3. Divide the total from Step 2 by 3.
  4. Go back to your list of numbers and the number in the very middle of that list will be placed in the center of the magic square.

Can you solve the 3×3 magic square completely?

SOLVE The 3×3 Magic Square Completely – There Can Only Be One! – YouTube SOLVE The 3×3 Magic Square Completely – There Can Only Be One! If playback doesn’t begin shortly, try restarting your device.

How is 45 equal to 3×3 magic square?

On the other hand, this is the same as adding the top row, the bottom row, and three times the middle number, so this is 15+15+middle+middle+middle. The only way to have 45 equal to 30 + 3 x middle, is if the middle number is 5. Once you know the middle is 5, you know that opposite numbers add to 10.

What’s the magic constant for a 3×3 puzzle?

The normal variations of these puzzles (the 3×3 puzzles that contain only 1-9) will have a magic constant of 15. This should make solving the early puzzle worksheets pretty easy. These worksheets are great practice for kids in grade 2, grade 3 or grade 4 who are mastering their addition facts.

Which is the least complex form of magic squares?

The 3×3 magic squares on these puzzle worksheets are the least complex form of magic squares you can solve. There are normal versions (with numbers 1-9) and non-normal versions that produce a different “magic number” when solved. Give them a try before moving on to the 4×4 magic squares!