Magic Square 4×4 Hard — Set 80
Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [_ 3 _ | _ _ 9 | _ 7 _]
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Answer: 8 3 4 | 1 5 9 | 6 7 2
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,3,null]
- [null,null,9]
- [null,7,null]
- SolvedGrid
- [8,3,4]
- [1,5,9]
- [6,7,2]
- MagicConstant
- 15
Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ _ 12 | _ 11 13 | _ _ _]
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Answer: 14 7 12 | 9 11 13 | 10 15 8
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,null,12]
- [null,11,13]
- [null,null,null]
- SolvedGrid
- [14,7,12]
- [9,11,13]
- [10,15,8]
- MagicConstant
- 33
Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ _ _ | 10 _ 18 | _ 16 _]
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Answer: 17 12 13 | 10 14 18 | 15 16 11
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,null,null]
- [10,null,18]
- [null,16,null]
- SolvedGrid
- [17,12,13]
- [10,14,18]
- [15,16,11]
- MagicConstant
- 42
Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ 13 _ | _ 11 _ | 14 _ _]
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Answer: 12 13 8 | 7 11 15 | 14 9 10
- SubType
- magic-square
- Difficulty
- hard
- Grid
- [null,13,null]
- [null,11,null]
- [14,null,null]
- SolvedGrid
- [12,13,8]
- [7,11,15]
- [14,9,10]
- MagicConstant
- 33
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.