Workbook Detail
Magic Square 4×4 Expert — Set 54
This page uses a content type that does not have a custom renderer yet. Raw structured data is shown below.
{
"contentData": {
"operation": "magic-square",
"subject": "arithmetic",
"difficulty": "expert",
"gridSize": 4,
"config": {
"gridSize": 4,
"difficulty": "expert",
"maxNumber": 10
},
"problems": [
{
"type": "magic-square",
"subType": "magic-square",
"difficulty": "expert",
"question": "Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ _ _ | 18 _ 10 | 13 12 17]",
"answer": "11 16 15 | 18 14 10 | 13 12 17",
"grid": [
[
null,
null,
null
],
[
18,
null,
10
],
[
13,
12,
17
]
],
"solvedGrid": [
[
11,
16,
15
],
[
18,
14,
10
],
[
13,
12,
17
]
],
"magicConstant": 42
},
{
"type": "magic-square",
"subType": "magic-square",
"difficulty": "expert",
"question": "Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [11 _ 9 | _ _ _ | 7 12 5]",
"answer": "11 4 9 | 6 8 10 | 7 12 5",
"grid": [
[
11,
null,
9
],
[
null,
null,
null
],
[
7,
12,
5
]
],
"solvedGrid": [
[
11,
4,
9
],
[
6,
8,
10
],
[
7,
12,
5
]
],
"magicConstant": 24
},
{
"type": "magic-square",
"subType": "magic-square",
"difficulty": "expert",
"question": "Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [8 1 6 | _ _ _ | 4 _ 2]",
"answer": "8 1 6 | 3 5 7 | 4 9 2",
"grid": [
[
8,
1,
6
],
[
null,
null,
null
],
[
4,
null,
2
]
],
"solvedGrid": [
[
8,
1,
6
],
[
3,
5,
7
],
[
4,
9,
2
]
],
"magicConstant": 15
},
{
"type": "magic-square",
"subType": "magic-square",
"difficulty": "expert",
"question": "Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ 9 _ | _ _ 15 | 12 13 8]",
"answer": "14 9 10 | 7 11 15 | 12 13 8",
"grid": [
[
null,
9,
null
],
[
null,
null,
15
],
[
12,
13,
8
]
],
"solvedGrid": [
[
14,
9,
10
],
[
7,
11,
15
],
[
12,
13,
8
]
],
"magicConstant": 33
}
],
"layout": {
"columns": 2,
"problemsPerPage": 20
}
},
"outputTargets": {
"screen": true,
"print": true,
"pdf": true,
"answerKey": true
},
"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Complete the magic square. Each row, column, and diagonal must sum to 42. Grid: [_ _ _ | 18 _ 10 | 13 12 17]
- Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [11 _ 9 | _ _ _ | 7 12 5]
- Complete the magic square. Each row, column, and diagonal must sum to 15. Grid: [8 1 6 | _ _ _ | 4 _ 2]
- Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [_ 9 _ | _ _ 15 | 12 13 8]
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 Expert 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.