Magic Square 4×4 Hard — Set 78
Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ _ _ | _ 14 10 | _ 12 _]
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Answer: 11 16 15 | 18 14 10 | 13 12 17
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,null,null]
- [null,14,10]
- [null,12,null]
- SolvedGrid
- [11,16,15]
- [18,14,10]
- [13,12,17]
- MagicConstant
- 42
Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ 10 15 | _ _ _ | 13 _ _]
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Answer: 17 10 15 | 12 14 16 | 13 18 11
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,10,15]
- [null,null,null]
- [13,null,null]
- SolvedGrid
- [17,10,15]
- [12,14,16]
- [13,18,11]
- MagicConstant
- 42
Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [_ _ _ | _ _ _ | 5 10 9]
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Answer: 7 6 11 | 12 8 4 | 5 10 9
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,null,null]
- [null,null,null]
- [5,10,9]
- SolvedGrid
- [7,6,11]
- [12,8,4]
- [5,10,9]
- MagicConstant
- 24
Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [_ 9 _ | 7 _ _ | 6 _ _]
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Answer: 2 9 4 | 7 5 3 | 6 1 8
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,9,null]
- [7,null,null]
- [6,null,null]
- SolvedGrid
- [2,9,4]
- [7,5,3]
- [6,1,8]
- MagicConstant
- 15
Teaching Notes
Practice magic square 4x4 with free printable worksheets. Uniquely generated — reinforce key math skills with every set.
Frequently Asked Questions
How do I use this Magic Square 4x4 Hard Worksheets worksheet?
Print the worksheet and complete the problems. Each set number generates a unique arrangement. Use the same set number for all students in a class for consistent assessment.
Is there an answer key?
Yes — every worksheet includes a complete answer key. Print it separately or view it on screen.