What is the magic sum of 4 into 4 magic square?
Making a magic square before an audience, if done properly, can be an impressive demonstration of one’s apparent command of higher-level mathematics. I’ll show you how to do this, using a seemingly more difficult 4×4 grid. This magic square adds up to 34.
Is there a 4×4 magic square?
The 4×4 magic square consists of 4 rows which multiplied by 4 columns is 16 cells. The 4×4 magic square must contain 16 different numbers. A pure magic 4×4 square contains the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16.
What is a 4 by 4 square?
A standard foursquare area is one large square, 10′ x 10′ divided into four smaller squares (5′ x 5′), and each box is labeled A, B, C, D or 1, 2, 3, 4. The box labeled A or 1 contains a smaller service box (1.5′ x 1.5′) located in the far outside corner of the square.
How can we solve magic square?
There are five easy steps.
- List the nine consecutive numbers in order.
- Add them up then divide by three.
- The very middle number in a consecutive number list is the number for the middle square.
- Apply the rules in the magic square solution diagram.
How many squares are there in a 4×4 grid?
After they have had a chance to think about and have yelled out some more answers ask them how many squares there are in a 1×1 grid (1) and in a 2×2 grid (the 4 small squares and the 1 big square = 5) and a 3×3 grid (9 small squares, 4 of the 2×2, and 1 big one = 14). So the total for a 4×4 is 16 + 9 + 4 + 1 = 30.
How do you solve magic squares?
Here are the steps:
- List the numbers in order from least to greatest on a sheet of paper.
- Add all nine of the numbers on your list up to get the total.
- Divide the total from Step 2 by 3.
- 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.