Workbook Detail
Function Machine Division Hard — Set 18
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"operation": "function-machine",
"subject": "arithmetic",
"difficulty": "hard",
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"problems": [
{
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"type": "function-machine",
"subType": "find-input",
"rule": "-3",
"input": 5,
"output": 2,
"question": "? → [-3] → 2",
"answer": 5,
"correctAnswer": "5",
"difficulty": "hard"
},
{
"id": 2,
"type": "function-machine",
"subType": "find-input",
"rule": "+5",
"input": 1,
"output": 6,
"question": "? → [+5] → 6",
"answer": 1,
"correctAnswer": "1",
"difficulty": "hard"
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{
"id": 3,
"type": "function-machine",
"subType": "find-input",
"rule": "+5",
"input": 4,
"output": 9,
"question": "? → [+5] → 9",
"answer": 4,
"correctAnswer": "4",
"difficulty": "hard"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-input",
"rule": "×2 + 3",
"input": 6,
"output": 15,
"question": "? → [×2 + 3] → 15",
"answer": 6,
"correctAnswer": "6",
"difficulty": "hard"
},
{
"id": 5,
"type": "function-machine",
"subType": "find-output",
"rule": "+2",
"input": 5,
"output": 7,
"question": "Input: 5 → [+2] → ?",
"answer": 7,
"correctAnswer": "7",
"difficulty": "hard"
},
{
"id": 6,
"type": "function-machine",
"subType": "find-output",
"rule": "×2 + 1",
"input": 9,
"output": 19,
"question": "Input: 9 → [×2 + 1] → ?",
"answer": 19,
"correctAnswer": "19",
"difficulty": "hard"
},
{
"id": 7,
"type": "function-machine",
"subType": "find-rule",
"rule": "×3 - 2",
"input": 10,
"output": 28,
"question": "Input: 10 → [?] → 28, what is the rule?",
"answer": "×3 - 2",
"correctAnswer": "×3 - 2",
"difficulty": "hard"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-output",
"rule": "×2 + 3",
"input": 9,
"output": 21,
"question": "Input: 9 → [×2 + 3] → ?",
"answer": 21,
"correctAnswer": "21",
"difficulty": "hard"
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"_archetype": "form-exercise",
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}Teaching Notes
- ? → [-3] → 2
- ? → [+5] → 6
- ? → [+5] → 9
- ? → [×2 + 3] → 15
- Input: 5 → [+2] → ?
- Input: 9 → [×2 + 1] → ?
- Input: 10 → [?] → 28, what is the rule?
- Input: 9 → [×2 + 3] → ?
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