Workbook Detail
Math Maze Division Small Hard — Set 92
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"subject": "arithmetic",
"difficulty": "hard",
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×4 → +8 → ×3 → +2 → ×4. What is the final value?",
"answer": "584",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 4,
"result": 40
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{
"op": "+",
"operand": 8,
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{
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"operand": 3,
"result": 144
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"result": 584
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"pathDescription": "Step 1: ×4 = 40; Step 2: +8 = 48; Step 3: ×3 = 144; Step 4: +2 = 146; Step 5: ×4 = 584"
},
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -4 → +8 → ×4 → +3 → +4. What is the final value?",
"answer": "63",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 4,
"result": 6
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{
"op": "+",
"operand": 8,
"result": 14
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{
"op": "×",
"operand": 4,
"result": 56
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{
"op": "+",
"operand": 3,
"result": 59
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{
"op": "+",
"operand": 4,
"result": 63
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"finalValue": 63,
"pathDescription": "Step 1: -4 = 6; Step 2: +8 = 14; Step 3: ×4 = 56; Step 4: +3 = 59; Step 5: +4 = 63"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×3 → ×3 → -15 → +2 → -4. What is the final value?",
"answer": "46",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "×",
"operand": 3,
"result": 63
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{
"op": "-",
"operand": 15,
"result": 48
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{
"op": "+",
"operand": 2,
"result": 50
},
{
"op": "-",
"operand": 4,
"result": 46
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],
"finalValue": 46,
"pathDescription": "Step 1: ×3 = 21; Step 2: ×3 = 63; Step 3: -15 = 48; Step 4: +2 = 50; Step 5: -4 = 46"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → -1 → ×4 → +2 → +9. What is the final value?",
"answer": "7",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
},
{
"op": "×",
"operand": 4,
"result": -4
},
{
"op": "+",
"operand": 2,
"result": -2
},
{
"op": "+",
"operand": 9,
"result": 7
}
],
"finalValue": 7,
"pathDescription": "Step 1: -1 = 0; Step 2: -1 = -1; Step 3: ×4 = -4; Step 4: +2 = -2; Step 5: +9 = 7"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +10 → -14 → +3 → ×2 → -13. What is the final value?",
"answer": "1",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 10,
"result": 18
},
{
"op": "-",
"operand": 14,
"result": 4
},
{
"op": "+",
"operand": 3,
"result": 7
},
{
"op": "×",
"operand": 2,
"result": 14
},
{
"op": "-",
"operand": 13,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +10 = 18; Step 2: -14 = 4; Step 3: +3 = 7; Step 4: ×2 = 14; Step 5: -13 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +2 → ×3 → +9 → +5 → -4. What is the final value?",
"answer": "31",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 2,
"result": 7
},
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "+",
"operand": 9,
"result": 30
},
{
"op": "+",
"operand": 5,
"result": 35
},
{
"op": "-",
"operand": 4,
"result": 31
}
],
"finalValue": 31,
"pathDescription": "Step 1: +2 = 7; Step 2: ×3 = 21; Step 3: +9 = 30; Step 4: +5 = 35; Step 5: -4 = 31"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×2 → ×4 → ×2. What is the final value?",
"answer": "384",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
},
{
"op": "×",
"operand": 2,
"result": 48
},
{
"op": "×",
"operand": 4,
"result": 192
},
{
"op": "×",
"operand": 2,
"result": 384
}
],
"finalValue": 384,
"pathDescription": "Step 1: ×3 = 6; Step 2: ×4 = 24; Step 3: ×2 = 48; Step 4: ×4 = 192; Step 5: ×2 = 384"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -2 → -1 → ×3 → ×2 → -1. What is the final value?",
"answer": "11",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 2,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 2,
"result": 12
},
{
"op": "-",
"operand": 1,
"result": 11
}
],
"finalValue": 11,
"pathDescription": "Step 1: -2 = 3; Step 2: -1 = 2; Step 3: ×3 = 6; Step 4: ×2 = 12; Step 5: -1 = 11"
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: ×4 → +8 → ×3 → +2 → ×4. What is the final value?
- Math Maze: Start at 10. Follow the path: -4 → +8 → ×4 → +3 → +4. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → ×3 → -15 → +2 → -4. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → -1 → ×4 → +2 → +9. What is the final value?
- Math Maze: Start at 8. Follow the path: +10 → -14 → +3 → ×2 → -13. What is the final value?
- Math Maze: Start at 5. Follow the path: +2 → ×3 → +9 → +5 → -4. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×2 → ×4 → ×2. What is the final value?
- Math Maze: Start at 5. Follow the path: -2 → -1 → ×3 → ×2 → -1. What is the final value?
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