Workbook Detail
Function Machine Mixed Ops Hard — Set 17
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-leaf-function-machine-mixed-ops-hard",
"pageNumber": 17,
"generatedAt": "2026-03-16T15:22:09.148Z",
"generatorVersion": "v7.2.1-wp-g2",
"seed": "edce261690681102",
"seedInput": "1|node-1-leaf-function-machine-mixed-ops-hard|17|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": "function-machine",
"digits": 2,
"regrouping": false
}
},
"diversity": {
"structuralHash": "547a4e6270e51d63b23b982097aa8386",
"contentFingerprint": "8a4f1160554e84a8"
},
"interaction": {
"checkable": true,
"revealable": true,
"randomizable": true,
"hintable": false,
"progressable": true,
"inputType": [
"text-input"
]
}
},
"version": "2.0",
"generatorId": "arithmetic-generator-v7.2.1",
"operation": "function-machine",
"subject": "arithmetic",
"difficulty": "hard",
"config": {
"difficulty": "hard",
"maxNumber": 10
},
"problems": [
{
"id": 1,
"type": "function-machine",
"subType": "find-output",
"rule": "×2 + 3",
"input": 6,
"output": 15,
"question": "Input: 6 → [×2 + 3] → ?",
"answer": 15,
"correctAnswer": "15",
"difficulty": "hard"
},
{
"id": 2,
"type": "function-machine",
"subType": "find-output",
"rule": "×2",
"input": 1,
"output": 2,
"question": "Input: 1 → [×2] → ?",
"answer": 2,
"correctAnswer": "2",
"difficulty": "hard"
},
{
"id": 3,
"type": "function-machine",
"subType": "find-output",
"rule": "+5",
"input": 1,
"output": 6,
"question": "Input: 1 → [+5] → ?",
"answer": 6,
"correctAnswer": "6",
"difficulty": "hard"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-output",
"rule": "×3",
"input": 5,
"output": 15,
"question": "Input: 5 → [×3] → ?",
"answer": 15,
"correctAnswer": "15",
"difficulty": "hard"
},
{
"id": 5,
"type": "function-machine",
"subType": "find-input",
"rule": "+2",
"input": 1,
"output": 3,
"question": "? → [+2] → 3",
"answer": 1,
"correctAnswer": "1",
"difficulty": "hard"
},
{
"id": 6,
"type": "function-machine",
"subType": "find-input",
"rule": "+4 ×2",
"input": 3,
"output": 14,
"question": "? → [+4 ×2] → 14",
"answer": 3,
"correctAnswer": "3",
"difficulty": "hard"
},
{
"id": 7,
"type": "function-machine",
"subType": "find-output",
"rule": "×3 - 2",
"input": 3,
"output": 7,
"question": "Input: 3 → [×3 - 2] → ?",
"answer": 7,
"correctAnswer": "7",
"difficulty": "hard"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-rule",
"rule": "+4 ×2",
"input": 8,
"output": 24,
"question": "Input: 8 → [?] → 24, what is the rule?",
"answer": "+4 ×2",
"correctAnswer": "+4 ×2",
"difficulty": "hard"
}
],
"layout": {
"columns": 2,
"problemsPerPage": 20
},
"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Input: 6 → [×2 + 3] → ?
- Input: 1 → [×2] → ?
- Input: 1 → [+5] → ?
- Input: 5 → [×3] → ?
- ? → [+2] → 3
- ? → [+4 ×2] → 14
- Input: 3 → [×3 - 2] → ?
- Input: 8 → [?] → 24, what is the rule?
Practice function machine mixed ops with free printable worksheets. Uniquely generated — reinforce key math skills with every set.
Frequently Asked Questions
How do I use this Function Machine Mixed Ops 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.