Workbook Detail
Function Machine Multiplication Hard — Set 33
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"subject": "arithmetic",
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"problems": [
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"type": "function-machine",
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"rule": "+4 ×2",
"input": 3,
"output": 14,
"question": "? → [+4 ×2] → 14",
"answer": 3,
"correctAnswer": "3",
"difficulty": "hard"
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{
"id": 2,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2 + 1",
"input": 4,
"output": 9,
"question": "Input: 4 → [?] → 9, what is the rule?",
"answer": "×2 + 1",
"correctAnswer": "×2 + 1",
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{
"id": 3,
"type": "function-machine",
"subType": "find-input",
"rule": "×2",
"input": 9,
"output": 18,
"question": "? → [×2] → 18",
"answer": 9,
"correctAnswer": "9",
"difficulty": "hard"
},
{
"id": 4,
"type": "function-machine",
"subType": "find-input",
"rule": "×2 + 3",
"input": 2,
"output": 7,
"question": "? → [×2 + 3] → 7",
"answer": 2,
"correctAnswer": "2",
"difficulty": "hard"
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{
"id": 5,
"type": "function-machine",
"subType": "find-input",
"rule": "-3",
"input": 5,
"output": 2,
"question": "? → [-3] → 2",
"answer": 5,
"correctAnswer": "5",
"difficulty": "hard"
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{
"id": 6,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2 + 1",
"input": 2,
"output": 5,
"question": "Input: 2 → [?] → 5, what is the rule?",
"answer": "×2 + 1",
"correctAnswer": "×2 + 1",
"difficulty": "hard"
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{
"id": 7,
"type": "function-machine",
"subType": "find-rule",
"rule": "×2",
"input": 7,
"output": 14,
"question": "Input: 7 → [?] → 14, what is the rule?",
"answer": "×2",
"correctAnswer": "×2",
"difficulty": "hard"
},
{
"id": 8,
"type": "function-machine",
"subType": "find-input",
"rule": "+2",
"input": 4,
"output": 6,
"question": "? → [+2] → 6",
"answer": 4,
"correctAnswer": "4",
"difficulty": "hard"
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}Teaching Notes
- ? → [+4 ×2] → 14
- Input: 4 → [?] → 9, what is the rule?
- ? → [×2] → 18
- ? → [×2 + 3] → 7
- ? → [-3] → 2
- Input: 2 → [?] → 5, what is the rule?
- Input: 7 → [?] → 14, what is the rule?
- ? → [+2] → 6
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