Workbook Detail
Function Machine Multiplication Expert — Set 73
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"operation": "function-machine",
"subject": "arithmetic",
"difficulty": "expert",
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"problems": [
{
"id": 1,
"type": "function-machine",
"subType": "find-rule",
"rule": "+4 ×2",
"input": 1,
"output": 10,
"question": "Input: 1 → [?] → 10, what is the rule?",
"answer": "+4 ×2",
"correctAnswer": "+4 ×2",
"difficulty": "expert"
},
{
"id": 2,
"type": "function-machine",
"subType": "find-output",
"rule": "+10",
"input": 8,
"output": 18,
"question": "Input: 8 → [+10] → ?",
"answer": 18,
"correctAnswer": "18",
"difficulty": "expert"
},
{
"id": 3,
"type": "function-machine",
"subType": "find-output",
"rule": "×3",
"input": 6,
"output": 18,
"question": "Input: 6 → [×3] → ?",
"answer": 18,
"correctAnswer": "18",
"difficulty": "expert"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-input",
"rule": "×2",
"input": 2,
"output": 4,
"question": "? → [×2] → 4",
"answer": 2,
"correctAnswer": "2",
"difficulty": "expert"
},
{
"id": 5,
"type": "function-machine",
"subType": "find-input",
"rule": "+5",
"input": 5,
"output": 10,
"question": "? → [+5] → 10",
"answer": 5,
"correctAnswer": "5",
"difficulty": "expert"
},
{
"id": 6,
"type": "function-machine",
"subType": "find-output",
"rule": "×2 + 3",
"input": 6,
"output": 15,
"question": "Input: 6 → [×2 + 3] → ?",
"answer": 15,
"correctAnswer": "15",
"difficulty": "expert"
},
{
"id": 7,
"type": "function-machine",
"subType": "find-output",
"rule": "+5",
"input": 9,
"output": 14,
"question": "Input: 9 → [+5] → ?",
"answer": 14,
"correctAnswer": "14",
"difficulty": "expert"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-output",
"rule": "-1",
"input": 2,
"output": 1,
"question": "Input: 2 → [-1] → ?",
"answer": 1,
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}Teaching Notes
- Input: 1 → [?] → 10, what is the rule?
- Input: 8 → [+10] → ?
- Input: 6 → [×3] → ?
- ? → [×2] → 4
- ? → [+5] → 10
- Input: 6 → [×2 + 3] → ?
- Input: 9 → [+5] → ?
- Input: 2 → [-1] → ?
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