Number Pyramid Mixed 5layer Expert — Set 13

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

{
    "_meta": {
        "nodeId": "node-1-leaf-pyramid-mixed-5layer-expert",
        "pageNumber": 13,
        "generatedAt": "2026-03-16T15:21:51.505Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "5b2cfbd1fbe0d745",
        "seedInput": "1|node-1-leaf-pyramid-mixed-5layer-expert|13|1.0.0|",
        "schemaVersion": "2.0.0",
        "mathTemplateId": null,
        "archetype": "guided-solver",
        "siteId": 1
    },
    "semantics": {
        "solvability": {
            "isDeterministic": true,
            "solutionCount": 1
        },
        "difficulty": {
            "declaredLevel": "hard",
            "computedScore": 18,
            "metrics": {
                "problemCount": 4,
                "operation": "pyramid",
                "digits": 2,
                "regrouping": false
            }
        },
        "diversity": {
            "structuralHash": "b561ffddb4091138e540d36399321e87",
            "contentFingerprint": "4b75305212366b76"
        },
        "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": "expert",
    "config": {
        "difficulty": "expert",
        "maxNumber": 10
    },
    "problems": [
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "expert",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [21] → [9, 12] → [_, _, 5]",
            "answer": "Row3[1]=2, Row3[2]=7",
            "levels": [
                [
                    21
                ],
                [
                    9,
                    12
                ],
                [
                    2,
                    7,
                    5
                ]
            ],
            "base": [
                2,
                7,
                5
            ],
            "topValue": 21,
            "hiddenCells": [
                {
                    "r": 2,
                    "c": 0,
                    "v": 2
                },
                {
                    "r": 2,
                    "c": 1,
                    "v": 7
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "expert",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [6, 7] → [4, 2, _]",
            "answer": "Row1[1]=13, Row3[3]=5",
            "levels": [
                [
                    13
                ],
                [
                    6,
                    7
                ],
                [
                    4,
                    2,
                    5
                ]
            ],
            "base": [
                4,
                2,
                5
            ],
            "topValue": 13,
            "hiddenCells": [
                {
                    "r": 0,
                    "c": 0,
                    "v": 13
                },
                {
                    "r": 2,
                    "c": 2,
                    "v": 5
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "expert",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [14, 15] → [5, 9, _]",
            "answer": "Row3[3]=6, Row1[1]=29",
            "levels": [
                [
                    29
                ],
                [
                    14,
                    15
                ],
                [
                    5,
                    9,
                    6
                ]
            ],
            "base": [
                5,
                9,
                6
            ],
            "topValue": 29,
            "hiddenCells": [
                {
                    "r": 2,
                    "c": 2,
                    "v": 6
                },
                {
                    "r": 0,
                    "c": 0,
                    "v": 29
                }
            ]
        },
        {
            "type": "number-pyramid",
            "subType": "number-pyramid",
            "difficulty": "expert",
            "question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [6, 7] → [1, 5, _]",
            "answer": "Row3[3]=2, Row1[1]=13",
            "levels": [
                [
                    13
                ],
                [
                    6,
                    7
                ],
                [
                    1,
                    5,
                    2
                ]
            ],
            "base": [
                1,
                5,
                2
            ],
            "topValue": 13,
            "hiddenCells": [
                {
                    "r": 2,
                    "c": 2,
                    "v": 2
                },
                {
                    "r": 0,
                    "c": 0,
                    "v": 13
                }
            ]
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "guided-solver",
    "_generatorId": "arithmetic-generator-v7.2.1"
}