Function Machine Addition Hard — Set 14

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

{
    "contentData": {
        "operation": "function-machine",
        "subject": "arithmetic",
        "difficulty": "hard",
        "config": {
            "difficulty": "hard",
            "maxNumber": 10
        },
        "problems": [
            {
                "id": 1,
                "type": "function-machine",
                "subType": "find-input",
                "rule": "-3",
                "input": 4,
                "output": 1,
                "question": "? → [-3] → 1",
                "answer": 4,
                "correctAnswer": "4",
                "difficulty": "hard"
            },
            {
                "id": 2,
                "type": "function-machine",
                "subType": "find-input",
                "rule": "×2",
                "input": 10,
                "output": 20,
                "question": "? → [×2] → 20",
                "answer": 10,
                "correctAnswer": "10",
                "difficulty": "hard"
            },
            {
                "id": 3,
                "type": "function-machine",
                "subType": "find-input",
                "rule": "+2",
                "input": 5,
                "output": 7,
                "question": "? → [+2] → 7",
                "answer": 5,
                "correctAnswer": "5",
                "difficulty": "hard"
            },
            {
                "id": 4,
                "type": "function-machine",
                "subType": "find-output",
                "rule": "-1",
                "input": 2,
                "output": 1,
                "question": "Input: 2 → [-1] → ?",
                "answer": 1,
                "correctAnswer": "1",
                "difficulty": "hard"
            },
            {
                "id": 5,
                "type": "function-machine",
                "subType": "find-rule",
                "rule": "×2 + 1",
                "input": 3,
                "output": 7,
                "question": "Input: 3 → [?] → 7, what is the rule?",
                "answer": "×2 + 1",
                "correctAnswer": "×2 + 1",
                "difficulty": "hard"
            },
            {
                "id": 6,
                "type": "function-machine",
                "subType": "find-output",
                "rule": "+2",
                "input": 10,
                "output": 12,
                "question": "Input: 10 → [+2] → ?",
                "answer": 12,
                "correctAnswer": "12",
                "difficulty": "hard"
            },
            {
                "id": 7,
                "type": "function-machine",
                "subType": "find-output",
                "rule": "-3",
                "input": 3,
                "output": 0,
                "question": "Input: 3 → [-3] → ?",
                "answer": 0,
                "correctAnswer": "0",
                "difficulty": "hard"
            },
            {
                "id": 8,
                "type": "function-machine",
                "subType": "find-input",
                "rule": "+4 ×2",
                "input": 3,
                "output": 14,
                "question": "? → [+4 ×2] → 14",
                "answer": 3,
                "correctAnswer": "3",
                "difficulty": "hard"
            }
        ],
        "layout": {
            "columns": 2,
            "problemsPerPage": 20
        }
    },
    "outputTargets": {
        "screen": true,
        "print": true,
        "pdf": true,
        "answerKey": true
    },
    "_archetype": "form-exercise",
    "_generatorId": "arithmetic-generator-v7.2.1"
}