Workbook Detail
Math Maze Multiplication Hard — Set 67
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{
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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 2. Follow the path: -1 → -1 → -1 → -1 → ×4. What is the final value?",
"answer": "-8",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "-",
"operand": 1,
"result": -1
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{
"op": "-",
"operand": 1,
"result": -2
},
{
"op": "×",
"operand": 4,
"result": -8
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],
"finalValue": -8,
"pathDescription": "Step 1: -1 = 1; Step 2: -1 = 0; Step 3: -1 = -1; Step 4: -1 = -2; Step 5: ×4 = -8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +3 → ×3 → +1 → ×2 → ×2. What is the final value?",
"answer": "136",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 3,
"result": 11
},
{
"op": "×",
"operand": 3,
"result": 33
},
{
"op": "+",
"operand": 1,
"result": 34
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{
"op": "×",
"operand": 2,
"result": 68
},
{
"op": "×",
"operand": 2,
"result": 136
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],
"finalValue": 136,
"pathDescription": "Step 1: +3 = 11; Step 2: ×3 = 33; Step 3: +1 = 34; Step 4: ×2 = 68; Step 5: ×2 = 136"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +7 → -7 → ×4 → -10 → +10. What is the final value?",
"answer": "12",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 7,
"result": 10
},
{
"op": "-",
"operand": 7,
"result": 3
},
{
"op": "×",
"operand": 4,
"result": 12
},
{
"op": "-",
"operand": 10,
"result": 2
},
{
"op": "+",
"operand": 10,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: +7 = 10; Step 2: -7 = 3; Step 3: ×4 = 12; Step 4: -10 = 2; Step 5: +10 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×3 → -1 → ×4 → ×4 → ×4. What is the final value?",
"answer": "128",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "×",
"operand": 4,
"result": 128
}
],
"finalValue": 128,
"pathDescription": "Step 1: ×3 = 3; Step 2: -1 = 2; Step 3: ×4 = 8; Step 4: ×4 = 32; Step 5: ×4 = 128"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → -2 → ×4 → -13 → +9. What is the final value?",
"answer": "12",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 2,
"result": 4
},
{
"op": "×",
"operand": 4,
"result": 16
},
{
"op": "-",
"operand": 13,
"result": 3
},
{
"op": "+",
"operand": 9,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: ×3 = 6; Step 2: -2 = 4; Step 3: ×4 = 16; Step 4: -13 = 3; Step 5: +9 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +9 → +6 → -10 → -4 → +9. What is the final value?",
"answer": "14",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 9,
"result": 13
},
{
"op": "+",
"operand": 6,
"result": 19
},
{
"op": "-",
"operand": 10,
"result": 9
},
{
"op": "-",
"operand": 4,
"result": 5
},
{
"op": "+",
"operand": 9,
"result": 14
}
],
"finalValue": 14,
"pathDescription": "Step 1: +9 = 13; Step 2: +6 = 19; Step 3: -10 = 9; Step 4: -4 = 5; Step 5: +9 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → +10 → ×3 → ×2 → -66. What is the final value?",
"answer": "6",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 10,
"result": 12
},
{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "×",
"operand": 2,
"result": 72
},
{
"op": "-",
"operand": 66,
"result": 6
}
],
"finalValue": 6,
"pathDescription": "Step 1: -1 = 2; Step 2: +10 = 12; Step 3: ×3 = 36; Step 4: ×2 = 72; Step 5: -66 = 6"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×4 → ×4 → ×2 → -23 → +4. What is the final value?",
"answer": "45",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "×",
"operand": 2,
"result": 64
},
{
"op": "-",
"operand": 23,
"result": 41
},
{
"op": "+",
"operand": 4,
"result": 45
}
],
"finalValue": 45,
"pathDescription": "Step 1: ×4 = 8; Step 2: ×4 = 32; Step 3: ×2 = 64; Step 4: -23 = 41; Step 5: +4 = 45"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 2. Follow the path: -1 → -1 → -1 → -1 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: +3 → ×3 → +1 → ×2 → ×2. What is the final value?
- Math Maze: Start at 3. Follow the path: +7 → -7 → ×4 → -10 → +10. What is the final value?
- Math Maze: Start at 1. Follow the path: ×3 → -1 → ×4 → ×4 → ×4. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → -2 → ×4 → -13 → +9. What is the final value?
- Math Maze: Start at 4. Follow the path: +9 → +6 → -10 → -4 → +9. What is the final value?
- Math Maze: Start at 3. Follow the path: -1 → +10 → ×3 → ×2 → -66. What is the final value?
- Math Maze: Start at 2. Follow the path: ×4 → ×4 → ×2 → -23 → +4. What is the final value?
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