Function Machine Addition Expert — Set 12

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-function-machine-addition-expert",
        "pageNumber": 12,
        "generatedAt": "2026-03-16T15:22:08.469Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "62d8dd36cdb43906",
        "seedInput": "1|node-1-leaf-function-machine-addition-expert|12|1.0.0|",
        "schemaVersion": "2.0.0",
        "mathTemplateId": null,
        "archetype": "form-exercise",
        "siteId": 1
    },
    "semantics": {
        "solvability": {
            "isDeterministic": true,
            "solutionCount": 1
        },
        "difficulty": {
            "declaredLevel": "hard",
            "computedScore": 26,
            "metrics": {
                "problemCount": 8,
                "operation": "function-machine",
                "digits": 2,
                "regrouping": false
            }
        },
        "diversity": {
            "structuralHash": "547a4e6270e51d63b23b982097aa8386",
            "contentFingerprint": "c16a7f68dc910817"
        },
        "interaction": {
            "checkable": true,
            "revealable": true,
            "randomizable": true,
            "hintable": false,
            "progressable": true,
            "inputType": [
                "text-input"
            ]
        }
    },
    "version": "2.0",
    "generatorId": "arithmetic-generator-v7.2.1",
    "operation": "function-machine",
    "subject": "arithmetic",
    "difficulty": "expert",
    "config": {
        "difficulty": "expert",
        "maxNumber": 10
    },
    "problems": [
        {
            "id": 1,
            "type": "function-machine",
            "subType": "find-output",
            "rule": "+2",
            "input": 8,
            "output": 10,
            "question": "Input: 8 → [+2] → ?",
            "answer": 10,
            "correctAnswer": "10",
            "difficulty": "expert"
        },
        {
            "id": 2,
            "type": "function-machine",
            "subType": "find-input",
            "rule": "-1",
            "input": 5,
            "output": 4,
            "question": "? → [-1] → 4",
            "answer": 5,
            "correctAnswer": "5",
            "difficulty": "expert"
        },
        {
            "id": 3,
            "type": "function-machine",
            "subType": "find-output",
            "rule": "+2",
            "input": 6,
            "output": 8,
            "question": "Input: 6 → [+2] → ?",
            "answer": 8,
            "correctAnswer": "8",
            "difficulty": "expert"
        },
        {
            "id": 4,
            "type": "function-machine",
            "subType": "find-output",
            "rule": "×2 + 3",
            "input": 10,
            "output": 23,
            "question": "Input: 10 → [×2 + 3] → ?",
            "answer": 23,
            "correctAnswer": "23",
            "difficulty": "expert"
        },
        {
            "id": 5,
            "type": "function-machine",
            "subType": "find-input",
            "rule": "×2",
            "input": 7,
            "output": 14,
            "question": "? → [×2] → 14",
            "answer": 7,
            "correctAnswer": "7",
            "difficulty": "expert"
        },
        {
            "id": 6,
            "type": "function-machine",
            "subType": "find-rule",
            "rule": "×3 - 2",
            "input": 5,
            "output": 13,
            "question": "Input: 5 → [?] → 13, what is the rule?",
            "answer": "×3 - 2",
            "correctAnswer": "×3 - 2",
            "difficulty": "expert"
        },
        {
            "id": 7,
            "type": "function-machine",
            "subType": "find-output",
            "rule": "×2",
            "input": 1,
            "output": 2,
            "question": "Input: 1 → [×2] → ?",
            "answer": 2,
            "correctAnswer": "2",
            "difficulty": "expert"
        },
        {
            "id": 8,
            "type": "function-machine",
            "subType": "find-input",
            "rule": "×2 + 3",
            "input": 4,
            "output": 11,
            "question": "? → [×2 + 3] → 11",
            "answer": 4,
            "correctAnswer": "4",
            "difficulty": "expert"
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "form-exercise",
    "_generatorId": "arithmetic-generator-v7.2.1"
}