hard Set 82 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-detective-hard",
        "pageNumber": 82,
        "generatedAt": "2026-03-16T15:21:34.494Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "74b98f8922e5a377",
        "seedInput": "1|node-1-detective-hard|82|1.0.0|",
        "schemaVersion": "2.0.0",
        "mathTemplateId": null,
        "archetype": "form-exercise",
        "siteId": 1
    },
    "semantics": {
        "solvability": {
            "isDeterministic": true,
            "solutionCount": 1
        },
        "difficulty": {
            "declaredLevel": "hard",
            "computedScore": 50,
            "metrics": {
                "problemCount": 20,
                "operation": "number-detective",
                "digits": 2,
                "regrouping": false
            }
        },
        "diversity": {
            "structuralHash": "079b8b6eb5f463b0b665b01f69b624f0",
            "contentFingerprint": "65b440abb05b0cd5"
        },
        "interaction": {
            "checkable": true,
            "revealable": true,
            "randomizable": true,
            "hintable": false,
            "progressable": true,
            "inputType": [
                "text-input"
            ]
        }
    },
    "version": "2.0",
    "generatorId": "arithmetic-generator-v7.2.1",
    "operation": "number-detective",
    "subject": "arithmetic",
    "difficulty": "hard",
    "config": {
        "difficulty": "hard",
        "maxNumber": 10
    },
    "problems": [
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 2,
            "clues": [
                "I am between 1 and 11",
                "I am even",
                "I am greater than 1",
                "I am divisible by 2"
            ],
            "answer": 2,
            "question": "Number Detective: I am a number. 1. I am between 1 and 11. 2. I am even. 3. I am greater than 1. 4. I am divisible by 2. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 55,
            "clues": [
                "I am between 47 and 60",
                "I am odd",
                "My digits sum to 10",
                "I am divisible by 5"
            ],
            "answer": 55,
            "question": "Number Detective: I am a number. 1. I am between 47 and 60. 2. I am odd. 3. My digits sum to 10. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 35,
            "clues": [
                "I am between 29 and 50",
                "I am odd",
                "My digits sum to 8",
                "I am divisible by 5"
            ],
            "answer": 35,
            "question": "Number Detective: I am a number. 1. I am between 29 and 50. 2. I am odd. 3. My digits sum to 8. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 9,
            "clues": [
                "I am between 1 and 15",
                "I am odd",
                "I am greater than 6",
                "I am divisible by 3"
            ],
            "answer": 9,
            "question": "Number Detective: I am a number. 1. I am between 1 and 15. 2. I am odd. 3. I am greater than 6. 4. I am divisible by 3. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 79,
            "clues": [
                "I am between 70 and 91",
                "I am odd",
                "My digits sum to 16",
                "I am not divisible by 2 or 5"
            ],
            "answer": 79,
            "question": "Number Detective: I am a number. 1. I am between 70 and 91. 2. I am odd. 3. My digits sum to 16. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 30,
            "clues": [
                "I am between 25 and 37",
                "I am even",
                "My digits sum to 3",
                "I am divisible by 2"
            ],
            "answer": 30,
            "question": "Number Detective: I am a number. 1. I am between 25 and 37. 2. I am even. 3. My digits sum to 3. 4. I am divisible by 2. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 97,
            "clues": [
                "I am between 86 and 102",
                "I am odd",
                "My digits sum to 16",
                "I am not divisible by 2 or 5"
            ],
            "answer": 97,
            "question": "Number Detective: I am a number. 1. I am between 86 and 102. 2. I am odd. 3. My digits sum to 16. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 80,
            "clues": [
                "I am between 71 and 87",
                "I am even",
                "My digits sum to 8",
                "I am divisible by 5"
            ],
            "answer": 80,
            "question": "Number Detective: I am a number. 1. I am between 71 and 87. 2. I am even. 3. My digits sum to 8. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 39,
            "clues": [
                "I am between 30 and 44",
                "I am odd",
                "My digits sum to 12",
                "I am divisible by 3"
            ],
            "answer": 39,
            "question": "Number Detective: I am a number. 1. I am between 30 and 44. 2. I am odd. 3. My digits sum to 12. 4. I am divisible by 3. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 23,
            "clues": [
                "I am between 10 and 37",
                "I am odd",
                "My digits sum to 5",
                "I am not divisible by 2 or 5"
            ],
            "answer": 23,
            "question": "Number Detective: I am a number. 1. I am between 10 and 37. 2. I am odd. 3. My digits sum to 5. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 10,
            "clues": [
                "I am between 3 and 21",
                "I am even",
                "My digits sum to 1",
                "I am divisible by 5"
            ],
            "answer": 10,
            "question": "Number Detective: I am a number. 1. I am between 3 and 21. 2. I am even. 3. My digits sum to 1. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 42,
            "clues": [
                "I am between 27 and 50",
                "I am even",
                "My digits sum to 6",
                "I am divisible by 2"
            ],
            "answer": 42,
            "question": "Number Detective: I am a number. 1. I am between 27 and 50. 2. I am even. 3. My digits sum to 6. 4. I am divisible by 2. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 5,
            "clues": [
                "I am between 1 and 10",
                "I am odd",
                "I am greater than 4",
                "I am divisible by 5"
            ],
            "answer": 5,
            "question": "Number Detective: I am a number. 1. I am between 1 and 10. 2. I am odd. 3. I am greater than 4. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 57,
            "clues": [
                "I am between 45 and 62",
                "I am odd",
                "My digits sum to 12",
                "I am divisible by 3"
            ],
            "answer": 57,
            "question": "Number Detective: I am a number. 1. I am between 45 and 62. 2. I am odd. 3. My digits sum to 12. 4. I am divisible by 3. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 59,
            "clues": [
                "I am between 47 and 71",
                "I am odd",
                "My digits sum to 14",
                "I am not divisible by 2 or 5"
            ],
            "answer": 59,
            "question": "Number Detective: I am a number. 1. I am between 47 and 71. 2. I am odd. 3. My digits sum to 14. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 7,
            "clues": [
                "I am between 1 and 13",
                "I am odd",
                "I am greater than 4",
                "I am not divisible by 2 or 5"
            ],
            "answer": 7,
            "question": "Number Detective: I am a number. 1. I am between 1 and 13. 2. I am odd. 3. I am greater than 4. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 49,
            "clues": [
                "I am between 43 and 63",
                "I am odd",
                "My digits sum to 13",
                "I am not divisible by 2 or 5"
            ],
            "answer": 49,
            "question": "Number Detective: I am a number. 1. I am between 43 and 63. 2. I am odd. 3. My digits sum to 13. 4. I am not divisible by 2 or 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 95,
            "clues": [
                "I am between 90 and 108",
                "I am odd",
                "My digits sum to 14",
                "I am divisible by 5"
            ],
            "answer": 95,
            "question": "Number Detective: I am a number. 1. I am between 90 and 108. 2. I am odd. 3. My digits sum to 14. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 90,
            "clues": [
                "I am between 81 and 101",
                "I am even",
                "My digits sum to 9",
                "I am divisible by 5"
            ],
            "answer": 90,
            "question": "Number Detective: I am a number. 1. I am between 81 and 101. 2. I am even. 3. My digits sum to 9. 4. I am divisible by 5. What number am I?",
            "difficulty": "hard"
        },
        {
            "type": "number-detective",
            "subType": "number-detective",
            "mystery": 38,
            "clues": [
                "I am between 23 and 52",
                "I am even",
                "My digits sum to 11",
                "I am divisible by 2"
            ],
            "answer": 38,
            "question": "Number Detective: I am a number. 1. I am between 23 and 52. 2. I am even. 3. My digits sum to 11. 4. I am divisible by 2. What number am I?",
            "difficulty": "hard"
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": "form-exercise",
    "_generatorId": "arithmetic-generator-v7.2.1"
}