Workbook Detail
Number Detective Hard — Set 89
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": 89,
"generatedAt": "2026-03-16T15:21:34.494Z",
"generatorVersion": "v7.2.1-wp-g2",
"seed": "75a8c6fa7054d3dc",
"seedInput": "1|node-1-detective-hard|89|1.0.0|",
"schemaVersion": "2.0.0",
"mathTemplateId": null,
"archetype": "form-exercise",
"siteId": 1
},
"semantics": {
"solvability": {
"isDeterministic": true,
"solutionCount": 1
},
"difficulty": {
"declaredLevel": "hard",
"computedScore": 48,
"metrics": {
"problemCount": 19,
"operation": "number-detective",
"digits": 2,
"regrouping": false
}
},
"diversity": {
"structuralHash": "168e9de888825e093dcc98f5ca85271b",
"contentFingerprint": "ddc40fe14d814a77"
},
"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": 57,
"clues": [
"I am between 50 and 63",
"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 50 and 63. 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": 55,
"clues": [
"I am between 44 and 65",
"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 44 and 65. 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": 23,
"clues": [
"I am between 17 and 38",
"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 17 and 38. 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": 34,
"clues": [
"I am between 20 and 42",
"I am even",
"My digits sum to 7",
"I am divisible by 2"
],
"answer": 34,
"question": "Number Detective: I am a number. 1. I am between 20 and 42. 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": 98,
"clues": [
"I am between 85 and 107",
"I am even",
"My digits sum to 17",
"I am divisible by 2"
],
"answer": 98,
"question": "Number Detective: I am a number. 1. I am between 85 and 107. 2. I am even. 3. My digits sum to 17. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 71,
"clues": [
"I am between 57 and 86",
"I am odd",
"My digits sum to 8",
"I am not divisible by 2 or 5"
],
"answer": 71,
"question": "Number Detective: I am a number. 1. I am between 57 and 86. 2. I am odd. 3. My digits sum to 8. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 21,
"clues": [
"I am between 8 and 32",
"I am odd",
"My digits sum to 3",
"I am divisible by 3"
],
"answer": 21,
"question": "Number Detective: I am a number. 1. I am between 8 and 32. 2. I am odd. 3. My digits sum to 3. 4. I am divisible by 3. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 53,
"clues": [
"I am between 41 and 58",
"I am odd",
"My digits sum to 8",
"I am not divisible by 2 or 5"
],
"answer": 53,
"question": "Number Detective: I am a number. 1. I am between 41 and 58. 2. I am odd. 3. My digits sum to 8. 4. I am not divisible by 2 or 5. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 70,
"clues": [
"I am between 63 and 81",
"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 63 and 81. 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": 56,
"clues": [
"I am between 43 and 71",
"I am even",
"My digits sum to 11",
"I am divisible by 2"
],
"answer": 56,
"question": "Number Detective: I am a number. 1. I am between 43 and 71. 2. I am even. 3. My digits sum to 11. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 88,
"clues": [
"I am between 76 and 93",
"I am even",
"My digits sum to 16",
"I am divisible by 2"
],
"answer": 88,
"question": "Number Detective: I am a number. 1. I am between 76 and 93. 2. I am even. 3. My digits sum to 16. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 29,
"clues": [
"I am between 20 and 44",
"I am odd",
"My digits sum to 11",
"I am not divisible by 2 or 5"
],
"answer": 29,
"question": "Number Detective: I am a number. 1. I am between 20 and 44. 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": 46,
"clues": [
"I am between 36 and 59",
"I am even",
"My digits sum to 10",
"I am divisible by 2"
],
"answer": 46,
"question": "Number Detective: I am a number. 1. I am between 36 and 59. 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": 40,
"clues": [
"I am between 33 and 55",
"I am even",
"My digits sum to 4",
"I am divisible by 2"
],
"answer": 40,
"question": "Number Detective: I am a number. 1. I am between 33 and 55. 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": 26,
"clues": [
"I am between 17 and 34",
"I am even",
"My digits sum to 8",
"I am divisible by 2"
],
"answer": 26,
"question": "Number Detective: I am a number. 1. I am between 17 and 34. 2. I am even. 3. My digits sum to 8. 4. I am divisible by 2. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 48,
"clues": [
"I am between 41 and 56",
"I am even",
"My digits sum to 12",
"I am divisible by 3"
],
"answer": 48,
"question": "Number Detective: I am a number. 1. I am between 41 and 56. 2. I am even. 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": 99,
"clues": [
"I am between 91 and 107",
"I am odd",
"My digits sum to 18",
"I am divisible by 3"
],
"answer": 99,
"question": "Number Detective: I am a number. 1. I am between 91 and 107. 2. I am odd. 3. My digits sum to 18. 4. I am divisible by 3. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 12,
"clues": [
"I am between 1 and 19",
"I am even",
"My digits sum to 3",
"I am divisible by 3"
],
"answer": 12,
"question": "Number Detective: I am a number. 1. I am between 1 and 19. 2. I am even. 3. My digits sum to 3. 4. I am divisible by 3. What number am I?",
"difficulty": "hard"
},
{
"type": "number-detective",
"subType": "number-detective",
"mystery": 90,
"clues": [
"I am between 84 and 102",
"I am even",
"My digits sum to 9",
"I am divisible by 3"
],
"answer": 90,
"question": "Number Detective: I am a number. 1. I am between 84 and 102. 2. I am even. 3. My digits sum to 9. 4. I am divisible by 3. 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 50 and 63. 2. I am odd. 3. My digits sum to 12. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 44 and 65. 2. I am odd. 3. My digits sum to 10. 4. I am divisible by 5. What number am I?
- Number Detective: I am a number. 1. I am between 17 and 38. 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 20 and 42. 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 85 and 107. 2. I am even. 3. My digits sum to 17. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 57 and 86. 2. I am odd. 3. My digits sum to 8. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 8 and 32. 2. I am odd. 3. My digits sum to 3. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 41 and 58. 2. I am odd. 3. My digits sum to 8. 4. I am not divisible by 2 or 5. What number am I?
- Number Detective: I am a number. 1. I am between 63 and 81. 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 43 and 71. 2. I am even. 3. My digits sum to 11. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 76 and 93. 2. I am even. 3. My digits sum to 16. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 20 and 44. 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 36 and 59. 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 33 and 55. 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 17 and 34. 2. I am even. 3. My digits sum to 8. 4. I am divisible by 2. What number am I?
- Number Detective: I am a number. 1. I am between 41 and 56. 2. I am even. 3. My digits sum to 12. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 91 and 107. 2. I am odd. 3. My digits sum to 18. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 1 and 19. 2. I am even. 3. My digits sum to 3. 4. I am divisible by 3. What number am I?
- Number Detective: I am a number. 1. I am between 84 and 102. 2. I am even. 3. My digits sum to 9. 4. I am divisible by 3. 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.