medium Set 32 Form Exercise

This page uses a content type that does not have a custom renderer yet. Raw structured data is shown below.

{
    "outputTargets": {
        "screen": true,
        "print": true,
        "pdf": true,
        "answerKey": true
    },
    "_meta": {
        "nodeId": "node-1-leaf-pyramid-multiplication-4layer-medium",
        "pageNumber": 32,
        "generatedAt": "2026-03-16T15:21:51.103Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "5dbf5165d2b57377",
        "seedInput": "1|node-1-leaf-pyramid-multiplication-4layer-medium|32|1.0.0|",
        "schemaVersion": "2.0.0",
        "mathTemplateId": null,
        "archetype": "guided-solver",
        "siteId": 1
    },
    "semantics": {
        "solvability": {
            "isDeterministic": true,
            "solutionCount": 1
        },
        "difficulty": {
            "declaredLevel": "medium",
            "computedScore": 18,
            "metrics": {
                "problemCount": 4,
                "operation": "pyramid",
                "digits": 2,
                "regrouping": false
            }
        },
        "diversity": {
            "structuralHash": "b561ffddb4091138e540d36399321e87",
            "contentFingerprint": "86aef6cdcac6b253"
        },
        "interaction": {
            "checkable": true,
            "revealable": true,
            "randomizable": true,
            "hintable": false,
            "progressable": true,
            "inputType": [
                "text-input"
            ]
        }
    },
    "version": "2.0",
    "generatorId": "arithmetic-generator-v7.2.1",
    "operation": "pyramid",
    "subject": "arithmetic",
    "difficulty": "medium",
    "config": {
        "difficulty": "medium",
        "maxNumber": 10
    },
    "problems": [
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "medium",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [44] → [_, _] → [_, 11, 9] → [7, _, 5, 4]",
            "answer": "Row3[1]=13, Row2[1]=24, Row4[2]=6, Row2[2]=20",
            "levels": [
                [
                    44
                ],
                [
                    24,
                    20
                ],
                [
                    13,
                    11,
                    9
                ],
                [
                    7,
                    6,
                    5,
                    4
                ]
            ],
            "base": [
                7,
                6,
                5,
                4
            ],
            "topValue": 44,
            "hiddenCells": [
                {
                    "r": 2,
                    "c": 0,
                    "v": 13
                },
                {
                    "r": 1,
                    "c": 0,
                    "v": 24
                },
                {
                    "r": 3,
                    "c": 1,
                    "v": 6
                },
                {
                    "r": 1,
                    "c": 1,
                    "v": 20
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "medium",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [_, 17] → [10, 11, 6] → [_, 8, 3, _]",
            "answer": "Row2[1]=21, Row4[1]=2, Row1[1]=38, Row4[4]=3",
            "levels": [
                [
                    38
                ],
                [
                    21,
                    17
                ],
                [
                    10,
                    11,
                    6
                ],
                [
                    2,
                    8,
                    3,
                    3
                ]
            ],
            "base": [
                2,
                8,
                3,
                3
            ],
            "topValue": 38,
            "hiddenCells": [
                {
                    "r": 1,
                    "c": 0,
                    "v": 21
                },
                {
                    "r": 3,
                    "c": 0,
                    "v": 2
                },
                {
                    "r": 0,
                    "c": 0,
                    "v": 38
                },
                {
                    "r": 3,
                    "c": 3,
                    "v": 3
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "medium",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [42] → [_, 19] → [_, 11, _] → [8, 4, 7, _]",
            "answer": "Row2[1]=23, Row3[1]=12, Row3[3]=8, Row4[4]=1",
            "levels": [
                [
                    42
                ],
                [
                    23,
                    19
                ],
                [
                    12,
                    11,
                    8
                ],
                [
                    8,
                    4,
                    7,
                    1
                ]
            ],
            "base": [
                8,
                4,
                7,
                1
            ],
            "topValue": 42,
            "hiddenCells": [
                {
                    "r": 1,
                    "c": 0,
                    "v": 23
                },
                {
                    "r": 2,
                    "c": 0,
                    "v": 12
                },
                {
                    "r": 2,
                    "c": 2,
                    "v": 8
                },
                {
                    "r": 3,
                    "c": 3,
                    "v": 1
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "medium",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [55] → [_, 25] → [18, 12, 13] → [10, _, _, _]",
            "answer": "Row4[4]=9, Row4[2]=8, Row4[3]=4, Row2[1]=30",
            "levels": [
                [
                    55
                ],
                [
                    30,
                    25
                ],
                [
                    18,
                    12,
                    13
                ],
                [
                    10,
                    8,
                    4,
                    9
                ]
            ],
            "base": [
                10,
                8,
                4,
                9
            ],
            "topValue": 55,
            "hiddenCells": [
                {
                    "r": 3,
                    "c": 3,
                    "v": 9
                },
                {
                    "r": 3,
                    "c": 1,
                    "v": 8
                },
                {
                    "r": 3,
                    "c": 2,
                    "v": 4
                },
                {
                    "r": 1,
                    "c": 0,
                    "v": 30
                }
            ]
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "guided-solver",
    "_generatorId": "arithmetic-generator-v7.2.1"
}