The document explains the concept of magic squares, detailing how to create and solve various sizes, including 3x3, 4x4, 6x6, and 7x7 squares. It discusses the method of filling in the squares using an 'up-one, right-one' pattern while addressing the calculation of the 'magic constant' for sums of rows, columns, and diagonals. Additionally, it mentions specific techniques for larger magic squares and highlights in the corners for structure.

1. MAGIC SQUARE

2. WHAT IS MAGIC SQUARE?

3. TYPES OF MAGIC SQUARES
• The “magic constant” sum of each row, column, and diagonal with
where n is the number of squares in each row.

4. 3 X 3 MAGIC SQUARE

5. PLACE THE NUMBER 1 IN THE CENTER
BOX ON THE TOP ROW.

6. F OLLOW A N UP- ON E , RI G HT- ON E PAT T E RN T O F I LL IN T H E RE M A I N I N G N UM B E RS .
I F T H E M O V E M E N T T A K E S Y O U T O A B O X T H A T I S A L R E A D Y O C C U P I E D , G O B A C K T O T H E L A S T B O X T H A T H A S B E E N F I L L E D I N , A N D P L A C E T H E N E X T N U M B E R D I R E C T L Y B E L O W I T .

7. 4 X4 OR DOUBLY EVEN MAGIC SQUARE

8. HOW TO GET THE SUM

9. CREATE HIGHLIGHTS A–D IN THE
CORNERS OF THE MAGIC SQUARE.
In a 4 x 4 square, only mark the
4 corner boxes as your
highlights.
For an 8 x 8 magic square, the
Highlights become 2 x 2 mini
squares in the corners.
In a 12 x 12 square, each
Highlight is a 3 x 3 area.

10. CREATE THE CENTRAL HIGHLIGHT.

11. FILL IN THE HIGHLIGHTED AREAS OF
YOUR MAGIC SQUARE.
1 in the top-left box and 4 in
the top-right box
6 and 7 in the second and third
boxes in Row 2
10 and 11 in the second and
third boxes of Row 3
13 in the bottom-left box and
16 in the bottom-right box

12. FILL IN THE REST OF THE MAGIC
SQUARE BY COUNTING BACKWARD

13. CALCULATE THE MAGIC CONSTANT.

14. 6 X 6 MAGIC SQUARE
Divide the magic square into four
quadrants of equal size.

15. YOU WILL GET FOUR 3 X 3 MAGIC
SQUARES

16. SOLVE EACH QUADRANT USING A ONE-UP, ONE-RIGHT
PATTERN.

17. CREATE HIGHLIGHTS A AND D.

18. CREATE HIGHLIGHTS A AND D.
SWAP THE POSITIONS OF HIGHLIGHTS A AND D.

19. SWAP THE RIGHT COLUMNS IN B AND C
FOR MAGIC SQUARES LARGER THAN 6 X 6.

20. HOW DO YOU SOLVE A 7X7 MAGIC
SQUARE?
• Place the first number of the magic square in the center box of the
top row.Then, use an up-one, right-one pattern to add the
numbers.