Workbook Detail
Function Machine Division Expert — Set 69
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{
"contentData": {
"operation": "function-machine",
"subject": "arithmetic",
"difficulty": "expert",
"config": {
"difficulty": "expert",
"maxNumber": 10
},
"problems": [
{
"id": 1,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2 + 1",
"input": 1,
"output": 3,
"question": "Input: 1 → [?] → 3, what is the rule?",
"answer": "×2 + 1",
"correctAnswer": "×2 + 1",
"difficulty": "expert"
},
{
"id": 2,
"type": "function-machine",
"subType": "find-rule",
"rule": "+2",
"input": 8,
"output": 10,
"question": "Input: 8 → [?] → 10, what is the rule?",
"answer": "+2",
"correctAnswer": "+2",
"difficulty": "expert"
},
{
"id": 3,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2 + 3",
"input": 9,
"output": 21,
"question": "Input: 9 → [?] → 21, what is the rule?",
"answer": "×2 + 3",
"correctAnswer": "×2 + 3",
"difficulty": "expert"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-output",
"rule": "×2 + 3",
"input": 10,
"output": 23,
"question": "Input: 10 → [×2 + 3] → ?",
"answer": 23,
"correctAnswer": "23",
"difficulty": "expert"
},
{
"id": 5,
"type": "function-machine",
"subType": "find-input",
"rule": "-1",
"input": 8,
"output": 7,
"question": "? → [-1] → 7",
"answer": 8,
"correctAnswer": "8",
"difficulty": "expert"
},
{
"id": 6,
"type": "function-machine",
"subType": "find-input",
"rule": "+5",
"input": 8,
"output": 13,
"question": "? → [+5] → 13",
"answer": 8,
"correctAnswer": "8",
"difficulty": "expert"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-output",
"rule": "+2",
"input": 2,
"output": 4,
"question": "Input: 2 → [+2] → ?",
"answer": 4,
"correctAnswer": "4",
"difficulty": "expert"
}
],
"layout": {
"columns": 2,
"problemsPerPage": 20
}
},
"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Input: 1 → [?] → 3, what is the rule?
- Input: 8 → [?] → 10, what is the rule?
- Input: 9 → [?] → 21, what is the rule?
- Input: 10 → [×2 + 3] → ?
- ? → [-1] → 7
- ? → [+5] → 13
- Input: 2 → [+2] → ?
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