Magic Square 5×5 Expert — Set 78

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": 5,
        "config": {
            "gridSize": 5,
            "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 24. Grid: [11 _ 7 | 4 _ _ | 9 10 _]",
                "answer": "11 6 7 | 4 8 12 | 9 10 5",
                "grid": [
                    [
                        11,
                        null,
                        7
                    ],
                    [
                        4,
                        null,
                        null
                    ],
                    [
                        9,
                        10,
                        null
                    ]
                ],
                "solvedGrid": [
                    [
                        11,
                        6,
                        7
                    ],
                    [
                        4,
                        8,
                        12
                    ],
                    [
                        9,
                        10,
                        5
                    ]
                ],
                "magicConstant": 24
            },
            {
                "type": "magic-square",
                "subType": "magic-square",
                "difficulty": "expert",
                "question": "Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [10 9 _ | _ 11 _ | 8 13 _]",
                "answer": "10 9 14 | 15 11 7 | 8 13 12",
                "grid": [
                    [
                        10,
                        9,
                        null
                    ],
                    [
                        null,
                        11,
                        null
                    ],
                    [
                        8,
                        13,
                        null
                    ]
                ],
                "solvedGrid": [
                    [
                        10,
                        9,
                        14
                    ],
                    [
                        15,
                        11,
                        7
                    ],
                    [
                        8,
                        13,
                        12
                    ]
                ],
                "magicConstant": 33
            },
            {
                "type": "magic-square",
                "subType": "magic-square",
                "difficulty": "expert",
                "question": "Complete the magic square. Each row, column, and diagonal must sum to 24. Grid: [_ 10 5 | _ 8 _ | 11 6 _]",
                "answer": "9 10 5 | 4 8 12 | 11 6 7",
                "grid": [
                    [
                        null,
                        10,
                        5
                    ],
                    [
                        null,
                        8,
                        null
                    ],
                    [
                        11,
                        6,
                        null
                    ]
                ],
                "solvedGrid": [
                    [
                        9,
                        10,
                        5
                    ],
                    [
                        4,
                        8,
                        12
                    ],
                    [
                        11,
                        6,
                        7
                    ]
                ],
                "magicConstant": 24
            },
            {
                "type": "magic-square",
                "subType": "magic-square",
                "difficulty": "expert",
                "question": "Complete the magic square. Each row, column, and diagonal must sum to 33. Grid: [12 13 8 | _ 11 _ | 14 _ _]",
                "answer": "12 13 8 | 7 11 15 | 14 9 10",
                "grid": [
                    [
                        12,
                        13,
                        8
                    ],
                    [
                        null,
                        11,
                        null
                    ],
                    [
                        14,
                        null,
                        null
                    ]
                ],
                "solvedGrid": [
                    [
                        12,
                        13,
                        8
                    ],
                    [
                        7,
                        11,
                        15
                    ],
                    [
                        14,
                        9,
                        10
                    ]
                ],
                "magicConstant": 33
            }
        ],
        "layout": {
            "columns": 2,
            "problemsPerPage": 20
        }
    },
    "_archetype": "form-exercise",
    "_generatorId": "arithmetic-generator-v7.2.1"
}