Workbook Detail
Function Machine Mixed Ops Hard — Set 85
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"operation": "function-machine",
"subject": "arithmetic",
"difficulty": "hard",
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"problems": [
{
"id": 1,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2",
"input": 9,
"output": 18,
"question": "Input: 9 → [?] → 18, what is the rule?",
"answer": "×2",
"correctAnswer": "×2",
"difficulty": "hard"
},
{
"id": 2,
"type": "function-machine",
"subType": "find-input",
"rule": "×5",
"input": 1,
"output": 5,
"question": "? → [×5] → 5",
"answer": 1,
"correctAnswer": "1",
"difficulty": "hard"
},
{
"id": 3,
"type": "function-machine",
"subType": "find-input",
"rule": "+10",
"input": 7,
"output": 17,
"question": "? → [+10] → 17",
"answer": 7,
"correctAnswer": "7",
"difficulty": "hard"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-output",
"rule": "+2",
"input": 1,
"output": 3,
"question": "Input: 1 → [+2] → ?",
"answer": 3,
"correctAnswer": "3",
"difficulty": "hard"
},
{
"id": 5,
"type": "function-machine",
"subType": "find-input",
"rule": "×5",
"input": 9,
"output": 45,
"question": "? → [×5] → 45",
"answer": 9,
"correctAnswer": "9",
"difficulty": "hard"
},
{
"id": 6,
"type": "function-machine",
"subType": "find-output",
"rule": "+2",
"input": 2,
"output": 4,
"question": "Input: 2 → [+2] → ?",
"answer": 4,
"correctAnswer": "4",
"difficulty": "hard"
},
{
"id": 7,
"type": "function-machine",
"subType": "find-output",
"rule": "-3",
"input": 9,
"output": 6,
"question": "Input: 9 → [-3] → ?",
"answer": 6,
"correctAnswer": "6",
"difficulty": "hard"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-rule",
"rule": "×5",
"input": 8,
"output": 40,
"question": "Input: 8 → [?] → 40, what is the rule?",
"answer": "×5",
"correctAnswer": "×5",
"difficulty": "hard"
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"_archetype": "form-exercise",
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}Teaching Notes
- Input: 9 → [?] → 18, what is the rule?
- ? → [×5] → 5
- ? → [+10] → 17
- Input: 1 → [+2] → ?
- ? → [×5] → 45
- Input: 2 → [+2] → ?
- Input: 9 → [-3] → ?
- Input: 8 → [?] → 40, what is the rule?
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