Workbook Detail
Math Maze Multiplication Hard — Set 14
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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 5. Follow the path: ×4 → +5 → -20 → +8 → ×4. What is the final value?",
"answer": "52",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 4,
"result": 20
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{
"op": "+",
"operand": 5,
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"operand": 20,
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{
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"result": 13
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"op": "×",
"operand": 4,
"result": 52
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"pathDescription": "Step 1: ×4 = 20; Step 2: +5 = 25; Step 3: -20 = 5; Step 4: +8 = 13; Step 5: ×4 = 52"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×2 → +6 → ×3 → ×4 → ×4. What is the final value?",
"answer": "480",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 2,
"result": 4
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{
"op": "+",
"operand": 6,
"result": 10
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{
"op": "×",
"operand": 3,
"result": 30
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{
"op": "×",
"operand": 4,
"result": 120
},
{
"op": "×",
"operand": 4,
"result": 480
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],
"finalValue": 480,
"pathDescription": "Step 1: ×2 = 4; Step 2: +6 = 10; Step 3: ×3 = 30; Step 4: ×4 = 120; Step 5: ×4 = 480"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +3 → ×3 → +7 → -14 → -2. What is the final value?",
"answer": "12",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 3,
"result": 7
},
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "+",
"operand": 7,
"result": 28
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{
"op": "-",
"operand": 14,
"result": 14
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{
"op": "-",
"operand": 2,
"result": 12
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],
"finalValue": 12,
"pathDescription": "Step 1: +3 = 7; Step 2: ×3 = 21; Step 3: +7 = 28; Step 4: -14 = 14; Step 5: -2 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +5 → -6 → -1 → ×4 → -3. What is the final value?",
"answer": "1",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 5,
"result": 8
},
{
"op": "-",
"operand": 6,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "×",
"operand": 4,
"result": 4
},
{
"op": "-",
"operand": 3,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +5 = 8; Step 2: -6 = 2; Step 3: -1 = 1; Step 4: ×4 = 4; Step 5: -3 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -1 → -4 → -2 → +7 → -9. What is the final value?",
"answer": "1",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 1,
"result": 9
},
{
"op": "-",
"operand": 4,
"result": 5
},
{
"op": "-",
"operand": 2,
"result": 3
},
{
"op": "+",
"operand": 7,
"result": 10
},
{
"op": "-",
"operand": 9,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: -1 = 9; Step 2: -4 = 5; Step 3: -2 = 3; Step 4: +7 = 10; Step 5: -9 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → +7 → +1 → +6 → ×2. What is the final value?",
"answer": "88",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "+",
"operand": 7,
"result": 37
},
{
"op": "+",
"operand": 1,
"result": 38
},
{
"op": "+",
"operand": 6,
"result": 44
},
{
"op": "×",
"operand": 2,
"result": 88
}
],
"finalValue": 88,
"pathDescription": "Step 1: ×3 = 30; Step 2: +7 = 37; Step 3: +1 = 38; Step 4: +6 = 44; Step 5: ×2 = 88"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×2 → ×2 → ×3 → +2 → -80. What is the final value?",
"answer": "18",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 2,
"result": 16
},
{
"op": "×",
"operand": 2,
"result": 32
},
{
"op": "×",
"operand": 3,
"result": 96
},
{
"op": "+",
"operand": 2,
"result": 98
},
{
"op": "-",
"operand": 80,
"result": 18
}
],
"finalValue": 18,
"pathDescription": "Step 1: ×2 = 16; Step 2: ×2 = 32; Step 3: ×3 = 96; Step 4: +2 = 98; Step 5: -80 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×3 → -8 → ×3 → -9 → -2. What is the final value?",
"answer": "1",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "-",
"operand": 8,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "-",
"operand": 9,
"result": 3
},
{
"op": "-",
"operand": 2,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: ×3 = 12; Step 2: -8 = 4; Step 3: ×3 = 12; Step 4: -9 = 3; Step 5: -2 = 1"
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}Teaching Notes
- Math Maze: Start at 5. Follow the path: ×4 → +5 → -20 → +8 → ×4. What is the final value?
- Math Maze: Start at 2. Follow the path: ×2 → +6 → ×3 → ×4 → ×4. What is the final value?
- Math Maze: Start at 4. Follow the path: +3 → ×3 → +7 → -14 → -2. What is the final value?
- Math Maze: Start at 3. Follow the path: +5 → -6 → -1 → ×4 → -3. What is the final value?
- Math Maze: Start at 10. Follow the path: -1 → -4 → -2 → +7 → -9. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → +7 → +1 → +6 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: ×2 → ×2 → ×3 → +2 → -80. What is the final value?
- Math Maze: Start at 4. Follow the path: ×3 → -8 → ×3 → -9 → -2. What is the final value?
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