hard Set 43 Form Exercise

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-math-maze-multiplication-small-hard",
        "pageNumber": 43,
        "generatedAt": "2026-03-16T15:22:00.466Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "ebeb405304a48ddb",
        "seedInput": "1|node-1-leaf-math-maze-multiplication-small-hard|43|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": "math-maze",
                "digits": 2,
                "regrouping": false
            }
        },
        "diversity": {
            "structuralHash": "547a4e6270e51d63b23b982097aa8386",
            "contentFingerprint": "982c88631589ef69"
        },
        "interaction": {
            "checkable": true,
            "revealable": true,
            "randomizable": true,
            "hintable": false,
            "progressable": true,
            "inputType": [
                "text-input"
            ]
        }
    },
    "version": "2.0",
    "generatorId": "arithmetic-generator-v7.2.1",
    "operation": "math-maze",
    "subject": "arithmetic",
    "difficulty": "hard",
    "config": {
        "difficulty": "hard",
        "maxNumber": 10
    },
    "problems": [
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 8. Follow the path: -7 → -1 → ×4 → -1 → ×2. What is the final value?",
            "answer": "-2",
            "startValue": 8,
            "steps": [
                {
                    "op": "-",
                    "operand": 7,
                    "result": 1
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": 0
                },
                {
                    "op": "×",
                    "operand": 4,
                    "result": 0
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": -1
                },
                {
                    "op": "×",
                    "operand": 2,
                    "result": -2
                }
            ],
            "finalValue": -2,
            "pathDescription": "Step 1: -7 = 1; Step 2: -1 = 0; Step 3: ×4 = 0; Step 4: -1 = -1; Step 5: ×2 = -2"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 5. Follow the path: -1 → ×4 → -12 → ×3 → ×3. What is the final value?",
            "answer": "36",
            "startValue": 5,
            "steps": [
                {
                    "op": "-",
                    "operand": 1,
                    "result": 4
                },
                {
                    "op": "×",
                    "operand": 4,
                    "result": 16
                },
                {
                    "op": "-",
                    "operand": 12,
                    "result": 4
                },
                {
                    "op": "×",
                    "operand": 3,
                    "result": 12
                },
                {
                    "op": "×",
                    "operand": 3,
                    "result": 36
                }
            ],
            "finalValue": 36,
            "pathDescription": "Step 1: -1 = 4; Step 2: ×4 = 16; Step 3: -12 = 4; Step 4: ×3 = 12; Step 5: ×3 = 36"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 3. Follow the path: ×2 → +3 → ×3 → ×4 → +5. What is the final value?",
            "answer": "113",
            "startValue": 3,
            "steps": [
                {
                    "op": "×",
                    "operand": 2,
                    "result": 6
                },
                {
                    "op": "+",
                    "operand": 3,
                    "result": 9
                },
                {
                    "op": "×",
                    "operand": 3,
                    "result": 27
                },
                {
                    "op": "×",
                    "operand": 4,
                    "result": 108
                },
                {
                    "op": "+",
                    "operand": 5,
                    "result": 113
                }
            ],
            "finalValue": 113,
            "pathDescription": "Step 1: ×2 = 6; Step 2: +3 = 9; Step 3: ×3 = 27; Step 4: ×4 = 108; Step 5: +5 = 113"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 2. Follow the path: -1 → -1 → -1 → -1 → +3. What is the final value?",
            "answer": "1",
            "startValue": 2,
            "steps": [
                {
                    "op": "-",
                    "operand": 1,
                    "result": 1
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": 0
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": -1
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": -2
                },
                {
                    "op": "+",
                    "operand": 3,
                    "result": 1
                }
            ],
            "finalValue": 1,
            "pathDescription": "Step 1: -1 = 1; Step 2: -1 = 0; Step 3: -1 = -1; Step 4: -1 = -2; Step 5: +3 = 1"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 6. Follow the path: +5 → -7 → -3 → -1 → ×4. What is the final value?",
            "answer": "0",
            "startValue": 6,
            "steps": [
                {
                    "op": "+",
                    "operand": 5,
                    "result": 11
                },
                {
                    "op": "-",
                    "operand": 7,
                    "result": 4
                },
                {
                    "op": "-",
                    "operand": 3,
                    "result": 1
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": 0
                },
                {
                    "op": "×",
                    "operand": 4,
                    "result": 0
                }
            ],
            "finalValue": 0,
            "pathDescription": "Step 1: +5 = 11; Step 2: -7 = 4; Step 3: -3 = 1; Step 4: -1 = 0; Step 5: ×4 = 0"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 3. Follow the path: +5 → +1 → -7 → ×2 → +6. What is the final value?",
            "answer": "10",
            "startValue": 3,
            "steps": [
                {
                    "op": "+",
                    "operand": 5,
                    "result": 8
                },
                {
                    "op": "+",
                    "operand": 1,
                    "result": 9
                },
                {
                    "op": "-",
                    "operand": 7,
                    "result": 2
                },
                {
                    "op": "×",
                    "operand": 2,
                    "result": 4
                },
                {
                    "op": "+",
                    "operand": 6,
                    "result": 10
                }
            ],
            "finalValue": 10,
            "pathDescription": "Step 1: +5 = 8; Step 2: +1 = 9; Step 3: -7 = 2; Step 4: ×2 = 4; Step 5: +6 = 10"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 5. Follow the path: ×2 → -6 → -3 → -1 → +5. What is the final value?",
            "answer": "5",
            "startValue": 5,
            "steps": [
                {
                    "op": "×",
                    "operand": 2,
                    "result": 10
                },
                {
                    "op": "-",
                    "operand": 6,
                    "result": 4
                },
                {
                    "op": "-",
                    "operand": 3,
                    "result": 1
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": 0
                },
                {
                    "op": "+",
                    "operand": 5,
                    "result": 5
                }
            ],
            "finalValue": 5,
            "pathDescription": "Step 1: ×2 = 10; Step 2: -6 = 4; Step 3: -3 = 1; Step 4: -1 = 0; Step 5: +5 = 5"
        },
        {
            "type": "math-maze",
            "subType": "math-maze",
            "difficulty": "hard",
            "question": "Math Maze: Start at 2. Follow the path: ×3 → -2 → -1 → +2 → -3. What is the final value?",
            "answer": "2",
            "startValue": 2,
            "steps": [
                {
                    "op": "×",
                    "operand": 3,
                    "result": 6
                },
                {
                    "op": "-",
                    "operand": 2,
                    "result": 4
                },
                {
                    "op": "-",
                    "operand": 1,
                    "result": 3
                },
                {
                    "op": "+",
                    "operand": 2,
                    "result": 5
                },
                {
                    "op": "-",
                    "operand": 3,
                    "result": 2
                }
            ],
            "finalValue": 2,
            "pathDescription": "Step 1: ×3 = 6; Step 2: -2 = 4; Step 3: -1 = 3; Step 4: +2 = 5; Step 5: -3 = 2"
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "form-exercise",
    "_generatorId": "arithmetic-generator-v7.2.1"
}