Workbook Detail
Math Maze Division Small Hard — Set 87
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"operation": "math-maze",
"subject": "arithmetic",
"difficulty": "hard",
"config": {
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -1 → -2 → -1 → ×2 → +2. What is the final value?",
"answer": "2",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 1,
"result": 3
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{
"op": "-",
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{
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{
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"operand": 2,
"result": 0
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{
"op": "+",
"operand": 2,
"result": 2
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"finalValue": 2,
"pathDescription": "Step 1: -1 = 3; Step 2: -2 = 1; Step 3: -1 = 0; Step 4: ×2 = 0; Step 5: +2 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +2 → +9 → ×4 → ×3 → ×3. What is the final value?",
"answer": "756",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 2,
"result": 12
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{
"op": "+",
"operand": 9,
"result": 21
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{
"op": "×",
"operand": 4,
"result": 84
},
{
"op": "×",
"operand": 3,
"result": 252
},
{
"op": "×",
"operand": 3,
"result": 756
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],
"finalValue": 756,
"pathDescription": "Step 1: +2 = 12; Step 2: +9 = 21; Step 3: ×4 = 84; Step 4: ×3 = 252; Step 5: ×3 = 756"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×4 → ×3 → -30 → ×4 → -82. What is the final value?",
"answer": "182",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "×",
"operand": 3,
"result": 96
},
{
"op": "-",
"operand": 30,
"result": 66
},
{
"op": "×",
"operand": 4,
"result": 264
},
{
"op": "-",
"operand": 82,
"result": 182
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],
"finalValue": 182,
"pathDescription": "Step 1: ×4 = 32; Step 2: ×3 = 96; Step 3: -30 = 66; Step 4: ×4 = 264; Step 5: -82 = 182"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×3 → -22 → -1 → -1 → +9. What is the final value?",
"answer": "9",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "-",
"operand": 22,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 9,
"result": 9
}
],
"finalValue": 9,
"pathDescription": "Step 1: ×3 = 24; Step 2: -22 = 2; Step 3: -1 = 1; Step 4: -1 = 0; Step 5: +9 = 9"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +5 → +9 → ×2 → -12 → ×3. What is the final value?",
"answer": "60",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 5,
"result": 7
},
{
"op": "+",
"operand": 9,
"result": 16
},
{
"op": "×",
"operand": 2,
"result": 32
},
{
"op": "-",
"operand": 12,
"result": 20
},
{
"op": "×",
"operand": 3,
"result": 60
}
],
"finalValue": 60,
"pathDescription": "Step 1: +5 = 7; Step 2: +9 = 16; Step 3: ×2 = 32; Step 4: -12 = 20; Step 5: ×3 = 60"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×3 → ×2 → ×2 → +9 → -1. What is the final value?",
"answer": "116",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "×",
"operand": 2,
"result": 54
},
{
"op": "×",
"operand": 2,
"result": 108
},
{
"op": "+",
"operand": 9,
"result": 117
},
{
"op": "-",
"operand": 1,
"result": 116
}
],
"finalValue": 116,
"pathDescription": "Step 1: ×3 = 27; Step 2: ×2 = 54; Step 3: ×2 = 108; Step 4: +9 = 117; Step 5: -1 = 116"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: ×3 → -4 → +1 → +1 → +10. What is the final value?",
"answer": "17",
"startValue": 3,
"steps": [
{
"op": "×",
"operand": 3,
"result": 9
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{
"op": "-",
"operand": 4,
"result": 5
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{
"op": "+",
"operand": 1,
"result": 6
},
{
"op": "+",
"operand": 1,
"result": 7
},
{
"op": "+",
"operand": 10,
"result": 17
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],
"finalValue": 17,
"pathDescription": "Step 1: ×3 = 9; Step 2: -4 = 5; Step 3: +1 = 6; Step 4: +1 = 7; Step 5: +10 = 17"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×4 → +10 → -31 → ×4 → -7. What is the final value?",
"answer": "21",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 4,
"result": 28
},
{
"op": "+",
"operand": 10,
"result": 38
},
{
"op": "-",
"operand": 31,
"result": 7
},
{
"op": "×",
"operand": 4,
"result": 28
},
{
"op": "-",
"operand": 7,
"result": 21
}
],
"finalValue": 21,
"pathDescription": "Step 1: ×4 = 28; Step 2: +10 = 38; Step 3: -31 = 7; Step 4: ×4 = 28; Step 5: -7 = 21"
}
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 4. Follow the path: -1 → -2 → -1 → ×2 → +2. What is the final value?
- Math Maze: Start at 10. Follow the path: +2 → +9 → ×4 → ×3 → ×3. What is the final value?
- Math Maze: Start at 8. Follow the path: ×4 → ×3 → -30 → ×4 → -82. What is the final value?
- Math Maze: Start at 8. Follow the path: ×3 → -22 → -1 → -1 → +9. What is the final value?
- Math Maze: Start at 2. Follow the path: +5 → +9 → ×2 → -12 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: ×3 → ×2 → ×2 → +9 → -1. What is the final value?
- Math Maze: Start at 3. Follow the path: ×3 → -4 → +1 → +1 → +10. What is the final value?
- Math Maze: Start at 7. Follow the path: ×4 → +10 → -31 → ×4 → -7. What is the final value?
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