Looking at the four 4x4 magic squares, I need to find which ones are complete and correctly filled.
Let me check each one:
First square (Magic Sum = 34):
Rows:
- 16 + 9 + 3 + ? = 28 + ? → missing number
- 11 + ? + 8 + ? → two missing numbers
- 7 + 6 + ? + ? → two missing numbers
- 4 + ? + 1 + ? → three missing numbers
This square has many empty cells - it's incomplete.
Second square (Magic Sum = 42):
Rows:
- 4 + ? + 15 + ? → two missing
- ? + 12 + ? + ? → three missing
- 9 + ? + 14 + ? → three missing
- 6 + ? + 17 + ? → three missing
Also incomplete.
Third square (Magic Sum = 46):
Rows:
- 19 + 5 + ? + ? → two missing
- 8 + ? + 13 + ? → three missing
- 10 + ? + 15 + ? → three missing
- 7 + ? + 18 + ? → three missing
Incomplete.
Fourth square (Magic Sum = 38):
Rows:
- 17 + ? + 4 + ? → two missing
- ? + 12 + 9 + ? → three missing
- 10 + ? + 7 + ? → three missing
- 15 + ? + 2 + ? → three missing
All four squares have empty cells. The task appears to be asking students to fill in the missing numbers so that every row, column, and diagonal adds up to the given magic sum.
Since all squares are incomplete, there is no single "final answer" to provide as a completed solution. The student would need to solve each puzzle by filling in the blanks using the magic sum constraint.
Final Answer: All four magic squares are incomplete and require solving by filling in the missing numbers so that each row, column, and diagonal equals the specified magic sum.
Parent Tip: Review the logic above to help your child master the concept of magic squares worksheet.