Workbook Detail

Magic Square 4×4 Hard — Set 82

Arithmetic B
hard 4×4 Set 82 Form Exercise

Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [_ 12 _ | _ 8 _ | 11 _ _]

Show answer

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

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

Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ _ 13 | _ _ _ | 15 _ 17]

Show answer

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

SubType
magic-square
Difficulty
hard
Grid
  • [null,null,13]
  • [null,null,null]
  • [15,null,17]
SolvedGrid
  • [11,18,13]
  • [16,14,12]
  • [15,10,17]
MagicConstant
42

Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [_ _ 7 | 4 _ _ | 9 _ _]

Show answer

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

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

Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [8 1 _ | _ _ _ | _ _ 2]

Show answer

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

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

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.

Workbook Detail

Magic Square 4×4 Hard — Set 82

Arithmetic B
hard 4×4 Set 82 Form Exercise

Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ _ _ | 7 _ _ | 12 13 _]

Show answer

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

SubType
magic-square
Difficulty
hard
Grid
  • [null,null,null]
  • [7,null,null]
  • [12,13,null]
SolvedGrid
  • [14,9,10]
  • [7,11,15]
  • [12,13,8]
MagicConstant
33

Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [_ 10 _ | _ _ 4 | _ 6 _]

Show answer

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

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

Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [13 _ 11 | _ 14 _ | _ _ _]

Show answer

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

SubType
magic-square
Difficulty
hard
Grid
  • [13,null,11]
  • [null,14,null]
  • [null,null,null]
SolvedGrid
  • [13,18,11]
  • [12,14,16]
  • [17,10,15]
MagicConstant
42

Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [_ _ 2 | _ _ 9 | _ _ 4]

Show answer

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

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

Teaching Notes

Practice magic square 4x4 with free hard printable worksheets. Uniquely generated — reinforce key math skills.

Frequently Asked Questions

How do I use this Magic Square 4x4 Hard Practice?

Print the worksheet and use it for independent practice, homework, or assessment. The included answer key allows for quick grading.

Is there an answer key?

Yes — the answer key is included and can be printed separately.