medium Set 65 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-mixed-3layer-medium",
        "pageNumber": 65,
        "generatedAt": "2026-03-16T15:21:51.133Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "02d12c271b9479a5",
        "seedInput": "1|node-1-leaf-pyramid-mixed-3layer-medium|65|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": "ba9197cb690150c9"
        },
        "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): [34] → [_, 19] → [_, 10, _] → [3, 2, _, 1]",
            "answer": "Row3[3]=9, Row2[1]=15, Row4[3]=8, Row3[1]=5",
            "levels": [
                [
                    34
                ],
                [
                    15,
                    19
                ],
                [
                    5,
                    10,
                    9
                ],
                [
                    3,
                    2,
                    8,
                    1
                ]
            ],
            "base": [
                3,
                2,
                8,
                1
            ],
            "topValue": 34,
            "hiddenCells": [
                {
                    "r": 2,
                    "c": 2,
                    "v": 9
                },
                {
                    "r": 1,
                    "c": 0,
                    "v": 15
                },
                {
                    "r": 3,
                    "c": 2,
                    "v": 8
                },
                {
                    "r": 2,
                    "c": 0,
                    "v": 5
                }
            ]
        },
        {
            "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): [_] → [_, 25] → [8, _, 13] → [_, 7, 5, 8]",
            "answer": "Row1[1]=45, Row2[1]=20, Row4[1]=1, Row3[2]=12",
            "levels": [
                [
                    45
                ],
                [
                    20,
                    25
                ],
                [
                    8,
                    12,
                    13
                ],
                [
                    1,
                    7,
                    5,
                    8
                ]
            ],
            "base": [
                1,
                7,
                5,
                8
            ],
            "topValue": 45,
            "hiddenCells": [
                {
                    "r": 0,
                    "c": 0,
                    "v": 45
                },
                {
                    "r": 1,
                    "c": 0,
                    "v": 20
                },
                {
                    "r": 3,
                    "c": 0,
                    "v": 1
                },
                {
                    "r": 2,
                    "c": 1,
                    "v": 12
                }
            ]
        },
        {
            "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): [_] → [22, _] → [13, 9, 10] → [9, _, 5, _]",
            "answer": "Row4[2]=4, Row4[4]=5, Row1[1]=41, Row2[2]=19",
            "levels": [
                [
                    41
                ],
                [
                    22,
                    19
                ],
                [
                    13,
                    9,
                    10
                ],
                [
                    9,
                    4,
                    5,
                    5
                ]
            ],
            "base": [
                9,
                4,
                5,
                5
            ],
            "topValue": 41,
            "hiddenCells": [
                {
                    "r": 3,
                    "c": 1,
                    "v": 4
                },
                {
                    "r": 3,
                    "c": 3,
                    "v": 5
                },
                {
                    "r": 0,
                    "c": 0,
                    "v": 41
                },
                {
                    "r": 1,
                    "c": 1,
                    "v": 19
                }
            ]
        },
        {
            "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): [_] → [29, 27] → [_, _, 14] → [9, _, 6, 8]",
            "answer": "Row1[1]=56, Row4[2]=7, Row3[1]=16, Row3[2]=13",
            "levels": [
                [
                    56
                ],
                [
                    29,
                    27
                ],
                [
                    16,
                    13,
                    14
                ],
                [
                    9,
                    7,
                    6,
                    8
                ]
            ],
            "base": [
                9,
                7,
                6,
                8
            ],
            "topValue": 56,
            "hiddenCells": [
                {
                    "r": 0,
                    "c": 0,
                    "v": 56
                },
                {
                    "r": 3,
                    "c": 1,
                    "v": 7
                },
                {
                    "r": 2,
                    "c": 0,
                    "v": 16
                },
                {
                    "r": 2,
                    "c": 1,
                    "v": 13
                }
            ]
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "guided-solver",
    "_generatorId": "arithmetic-generator-v7.2.1"
}