Magic Square 4×4 Hard — Set 85
Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ _ _ | _ _ _ | 8 15 10]
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Answer: 12 7 14 | 13 11 9 | 8 15 10
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,null,null]
- [null,null,null]
- [8,15,10]
- SolvedGrid
- [12,7,14]
- [13,11,9]
- [8,15,10]
- MagicConstant
- 33
Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [13 _ _ | 18 _ _ | _ _ 15]
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Answer: 13 12 17 | 18 14 10 | 11 16 15
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [13,null,null]
- [18,null,null]
- [null,null,15]
- SolvedGrid
- [13,12,17]
- [18,14,10]
- [11,16,15]
- MagicConstant
- 42
Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [12 _ _ | _ 11 9 | _ _ _]
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Answer: 12 7 14 | 13 11 9 | 8 15 10
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [12,null,null]
- [null,11,9]
- [null,null,null]
- SolvedGrid
- [12,7,14]
- [13,11,9]
- [8,15,10]
- MagicConstant
- 33
Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [_ 7 _ | _ 5 _ | _ _ 8]
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Answer: 2 7 6 | 9 5 1 | 4 3 8
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,7,null]
- [null,5,null]
- [null,null,8]
- SolvedGrid
- [2,7,6]
- [9,5,1]
- [4,3,8]
- 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.