Workbook Detail
Number Detective Hard — Set 86
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": 86,
"generatedAt": "2026-03-16T15:21:34.494Z",
"generatorVersion": "v7.2.1-wp-g2",
"seed": "1ac843ed20277113",
"seedInput": "1|node-1-detective-hard|86|1.0.0|",
"schemaVersion": "2.0.0",
"mathTemplateId": null,
"archetype": "form-exercise",
"siteId": 1
},
"semantics": {
"solvability": {
"isDeterministic": true,
"solutionCount": 1
},
"difficulty": {
"declaredLevel": "hard",
"computedScore": 42,
"metrics": {
"problemCount": 16,
"operation": "number-detective",
"digits": 2,
"regrouping": false
}
},
"diversity": {
"structuralHash": "26802b37c5bf78d6d6875c0175169ff9",
"contentFingerprint": "0b56660aabaed1e2"
},
"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": 47,
"clues": [
"I am between 42 and 53",
"I am odd",
"My digits sum to 11",
"I am not divisible by 2 or 5"
],
"answer": 47,
"question": "Number Detective: I am a number. 1. I am between 42 and 53. 2. I am odd. 3. My digits sum to 11. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 28,
"clues": [
"I am between 20 and 36",
"I am even",
"My digits sum to 10",
"I am divisible by 4"
],
"answer": 28,
"question": "Number Detective: I am a number. 1. I am between 20 and 36. 2. I am even. 3. My digits sum to 10. 4. I am divisible by 4. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 87,
"clues": [
"I am between 81 and 98",
"I am odd",
"My digits sum to 15",
"I am divisible by 3"
],
"answer": 87,
"question": "Number Detective: I am a number. 1. I am between 81 and 98. 2. I am odd. 3. My digits sum to 15. 4. I am divisible by 3. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 94,
"clues": [
"I am between 79 and 108",
"I am even",
"My digits sum to 13",
"I am divisible by 2"
],
"answer": 94,
"question": "Number Detective: I am a number. 1. I am between 79 and 108. 2. I am even. 3. My digits sum to 13. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 70,
"clues": [
"I am between 59 and 83",
"I am even",
"My digits sum to 7",
"I am divisible by 2"
],
"answer": 70,
"question": "Number Detective: I am a number. 1. I am between 59 and 83. 2. I am even. 3. My digits sum to 7. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 4,
"clues": [
"I am between 1 and 16",
"I am even",
"I am greater than 1",
"I am divisible by 2"
],
"answer": 4,
"question": "Number Detective: I am a number. 1. I am between 1 and 16. 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": 37,
"clues": [
"I am between 31 and 50",
"I am odd",
"My digits sum to 10",
"I am not divisible by 2 or 5"
],
"answer": 37,
"question": "Number Detective: I am a number. 1. I am between 31 and 50. 2. I am odd. 3. My digits sum to 10. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 22,
"clues": [
"I am between 11 and 30",
"I am even",
"My digits sum to 4",
"I am divisible by 2"
],
"answer": 22,
"question": "Number Detective: I am a number. 1. I am between 11 and 30. 2. I am even. 3. My digits sum to 4. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 72,
"clues": [
"I am between 58 and 79",
"I am even",
"My digits sum to 9",
"I am divisible by 4"
],
"answer": 72,
"question": "Number Detective: I am a number. 1. I am between 58 and 79. 2. I am even. 3. My digits sum to 9. 4. I am divisible by 4. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 58,
"clues": [
"I am between 45 and 72",
"I am even",
"My digits sum to 13",
"I am divisible by 2"
],
"answer": 58,
"question": "Number Detective: I am a number. 1. I am between 45 and 72. 2. I am even. 3. My digits sum to 13. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 2,
"clues": [
"I am between 1 and 17",
"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 17. 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": 23,
"clues": [
"I am between 14 and 36",
"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 14 and 36. 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": 27,
"clues": [
"I am between 17 and 33",
"I am odd",
"My digits sum to 9",
"I am divisible by 3"
],
"answer": 27,
"question": "Number Detective: I am a number. 1. I am between 17 and 33. 2. I am odd. 3. My digits sum to 9. 4. I am divisible by 3. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 13,
"clues": [
"I am between 1 and 18",
"I am odd",
"My digits sum to 4",
"I am not divisible by 2 or 5"
],
"answer": 13,
"question": "Number Detective: I am a number. 1. I am between 1 and 18. 2. I am odd. 3. My digits sum to 4. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 82,
"clues": [
"I am between 71 and 92",
"I am even",
"My digits sum to 10",
"I am divisible by 2"
],
"answer": 82,
"question": "Number Detective: I am a number. 1. I am between 71 and 92. 2. I am even. 3. My digits sum to 10. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 7,
"clues": [
"I am between 1 and 14",
"I am odd",
"I am greater than 3",
"I am not divisible by 2 or 5"
],
"answer": 7,
"question": "Number Detective: I am a number. 1. I am between 1 and 14. 2. I am odd. 3. I am greater than 3. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
}
],
"layout": {
"columns": 2,
"problemsPerPage": 20
},
"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Number Detective: I am a number. 1. I am between 42 and 53. 2. I am odd. 3. My digits sum to 11. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 20 and 36. 2. I am even. 3. My digits sum to 10. 4. I am divisible by 4. What number am I?
- Number Detective: I am a number. 1. I am between 81 and 98. 2. I am odd. 3. My digits sum to 15. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 79 and 108. 2. I am even. 3. My digits sum to 13. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 59 and 83. 2. I am even. 3. My digits sum to 7. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 1 and 16. 2. I am even. 3. I am greater than 1. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 31 and 50. 2. I am odd. 3. My digits sum to 10. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 11 and 30. 2. I am even. 3. My digits sum to 4. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 58 and 79. 2. I am even. 3. My digits sum to 9. 4. I am divisible by 4. What number am I?
- Number Detective: I am a number. 1. I am between 45 and 72. 2. I am even. 3. My digits sum to 13. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 1 and 17. 2. I am even. 3. I am greater than 1. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 14 and 36. 2. I am odd. 3. My digits sum to 5. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 17 and 33. 2. I am odd. 3. My digits sum to 9. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 1 and 18. 2. I am odd. 3. My digits sum to 4. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 71 and 92. 2. I am even. 3. My digits sum to 10. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 1 and 14. 2. I am odd. 3. I am greater than 3. 4. I am not divisible by 2 or 5. What number am I?
Practice number detective with free printable worksheets. Uniquely generated — reinforce key math skills with every set.
Frequently Asked Questions
How do I use this Number Detective Hard Worksheets worksheet?
Print the worksheet and complete the problems. Each set number generates a unique arrangement. Use the same set number for all students in a class for consistent assessment.
Is there an answer key?
Yes — every worksheet includes a complete answer key. Print it separately or view it on screen.