May 2022
Problem of the Month

Magic Square



Fill in the empty cells to create a magic square whose magic sum is 46.

The four numbers in each row, each column, each long diagonal, each of the four corners, and any 2 x 2 group of touching cells will add up to 46.



Click here for a printer version



Solution:



You can determine the value of the cell in the 3rd row 4th column since 8 + 14 + 13 + that cell equals 46.
So that cell = 11.

Then the top right corner must equal 17 since the cells in the 4th column must equal 46.

So the cell in the 3rd row 2nd column must equal 6 since the diagonals add up to 46.

Then the cell in row 3 column 1 must equal 16 since the numbers in row 3 must add up to 46.

Then the cell in row 2 column 1 must be equal to 5 since the 2nd row adds up to 46.

Since each 2 x 2 group of touching cells must add up to 46, you can determine the following cells:
row 1 column 3: 7
row 1 column 2: 12
row 1 column 1: 10
row 4 column 2: 9
row 4 column 3: 18.



Correctly solved by:

1. Colin (Yowie) Bowey Beechworth, Victoria, Australia
2. Dr. Hari Kishan D.N. College,
Meerut, Uttar Pradesh, India
3. Mohamed Sheriff (Meddora) Freetown, Western area, Sierra Leone, West Africa
4. Cash Henrie Mountain View High School,
Mountain view, Wyoming
5. Ritwik Chaudhuri Santiniketan, West Bengal, India
6. Srikaran Pathuri Chesterfield Elementary School (3rd grade),
Chesterfield, Missouri
7. Davit Banana Istanbul, Turkey
8. Veena Mg Bangalore, Karnataka, India
9. Wyatt Rees Mountain View High School,
Mountain view, Wyoming
10. Aubrey Reger Mountain View High School,
Mountain view, Wyoming
11. Anonymous ------------
12. Ivy Joseph Pune, Maharashtra, India
10. Pace Goates Mountain View High School,
Mountain view, Wyoming
11. Gage Stephens Mountain View High School,
Mountain view, Wyoming
12. Indianna Covington Mountain View High School,
Mountain view, Wyoming
13. Shae Wiggill Mountain View High School,
Mountain view, Wyoming
14. Kelly Stubblefield Mobile, Alabama
15. Teancum Piekkola Mountain View High School,
Mountain view, Wyoming
16. Kamri Hutchings Mountain View High School,
Mountain view, Wyoming
17. Trace Hadley Mountain View High School,
Mountain view, Wyoming
18. Ashlee Tims Mountain View High School,
Mountain view, Wyoming
19. Katelynn Hope Mountain View High School,
Mountain view, Wyoming
20. Kassidy Hewitt Mountain View High School,
Mountain view, Wyoming
21. Joshua Collings Mountain View High School,
Mountain view, Wyoming
22. Trinity Beman Mountain View High School,
Mountain view, Wyoming
23. Halle Porter Mountain View High School,
Mountain view, Wyoming


Send any comments or questions to: David Pleacher