hard 5×5 Set 81 Form Exercise

Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [8 _ _ | _ _ 7 | 4 _ _]

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Answer: 8 1 6 | 3 5 7 | 4 9 2

SubType
magic-square
Difficulty
hard
Grid
  • [8,null,null]
  • [null,null,7]
  • [4,null,null]
SolvedGrid
  • [8,1,6]
  • [3,5,7]
  • [4,9,2]
MagicConstant
15

Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ _ 12 | 9 11 _ | _ _ _]

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Answer: 14 7 12 | 9 11 13 | 10 15 8

SubType
magic-square
Difficulty
hard
Grid
  • [null,null,12]
  • [9,11,null]
  • [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: [17 _ _ | _ 14 18 | _ _ _]

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Answer: 17 12 13 | 10 14 18 | 15 16 11

SubType
magic-square
Difficulty
hard
Grid
  • [17,null,null]
  • [null,14,18]
  • [null,null,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 24. Grid: [9 _ 11 | _ _ 6 | _ _ _]

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Answer: 9 4 11 | 10 8 6 | 5 12 7

SubType
magic-square
Difficulty
hard
Grid
  • [9,null,11]
  • [null,null,6]
  • [null,null,null]
SolvedGrid
  • [9,4,11]
  • [10,8,6]
  • [5,12,7]
MagicConstant
24