Workbook Detail
Math Maze Multiplication Hard — Set 34
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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: +8 → +2 → +7 → +3 → +6. What is the final value?",
"answer": "36",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 8,
"result": 18
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{
"op": "+",
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{
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"operand": 7,
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{
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"result": 30
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{
"op": "+",
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"result": 36
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"pathDescription": "Step 1: +8 = 18; Step 2: +2 = 20; Step 3: +7 = 27; Step 4: +3 = 30; Step 5: +6 = 36"
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{
"type": "math-maze",
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"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +8 → ×3 → ×3 → -31 → +10. What is the final value?",
"answer": "141",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 8,
"result": 18
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{
"op": "×",
"operand": 3,
"result": 54
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{
"op": "×",
"operand": 3,
"result": 162
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{
"op": "-",
"operand": 31,
"result": 131
},
{
"op": "+",
"operand": 10,
"result": 141
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"finalValue": 141,
"pathDescription": "Step 1: +8 = 18; Step 2: ×3 = 54; Step 3: ×3 = 162; Step 4: -31 = 131; Step 5: +10 = 141"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -1 → -4 → ×2 → ×4 → +8. What is the final value?",
"answer": "24",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 1,
"result": 6
},
{
"op": "-",
"operand": 4,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
},
{
"op": "×",
"operand": 4,
"result": 16
},
{
"op": "+",
"operand": 8,
"result": 24
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],
"finalValue": 24,
"pathDescription": "Step 1: -1 = 6; Step 2: -4 = 2; Step 3: ×2 = 4; Step 4: ×4 = 16; Step 5: +8 = 24"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×2 → ×4 → -14 → -1 → ×2. What is the final value?",
"answer": "2",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 2,
"result": 4
},
{
"op": "×",
"operand": 4,
"result": 16
},
{
"op": "-",
"operand": 14,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "×",
"operand": 2,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: ×2 = 4; Step 2: ×4 = 16; Step 3: -14 = 2; Step 4: -1 = 1; Step 5: ×2 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×2 → ×2 → ×3 → ×3 → +2. What is the final value?",
"answer": "362",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "×",
"operand": 2,
"result": 40
},
{
"op": "×",
"operand": 3,
"result": 120
},
{
"op": "×",
"operand": 3,
"result": 360
},
{
"op": "+",
"operand": 2,
"result": 362
}
],
"finalValue": 362,
"pathDescription": "Step 1: ×2 = 20; Step 2: ×2 = 40; Step 3: ×3 = 120; Step 4: ×3 = 360; Step 5: +2 = 362"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +1 → -4 → -3 → -1 → -1. What is the final value?",
"answer": "-1",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 1,
"result": 8
},
{
"op": "-",
"operand": 4,
"result": 4
},
{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
}
],
"finalValue": -1,
"pathDescription": "Step 1: +1 = 8; Step 2: -4 = 4; Step 3: -3 = 1; Step 4: -1 = 0; Step 5: -1 = -1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -2 → -1 → +8 → +9 → ×3. What is the final value?",
"answer": "63",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 2,
"result": 5
},
{
"op": "-",
"operand": 1,
"result": 4
},
{
"op": "+",
"operand": 8,
"result": 12
},
{
"op": "+",
"operand": 9,
"result": 21
},
{
"op": "×",
"operand": 3,
"result": 63
}
],
"finalValue": 63,
"pathDescription": "Step 1: -2 = 5; Step 2: -1 = 4; Step 3: +8 = 12; Step 4: +9 = 21; Step 5: ×3 = 63"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: ×3 → -7 → -1 → +7 → ×2. What is the final value?",
"answer": "16",
"startValue": 3,
"steps": [
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "-",
"operand": 7,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "+",
"operand": 7,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
}
],
"finalValue": 16,
"pathDescription": "Step 1: ×3 = 9; Step 2: -7 = 2; Step 3: -1 = 1; Step 4: +7 = 8; Step 5: ×2 = 16"
}
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: +8 → +2 → +7 → +3 → +6. What is the final value?
- Math Maze: Start at 10. Follow the path: +8 → ×3 → ×3 → -31 → +10. What is the final value?
- Math Maze: Start at 7. Follow the path: -1 → -4 → ×2 → ×4 → +8. What is the final value?
- Math Maze: Start at 2. Follow the path: ×2 → ×4 → -14 → -1 → ×2. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → ×2 → ×3 → ×3 → +2. What is the final value?
- Math Maze: Start at 7. Follow the path: +1 → -4 → -3 → -1 → -1. What is the final value?
- Math Maze: Start at 7. Follow the path: -2 → -1 → +8 → +9 → ×3. What is the final value?
- Math Maze: Start at 3. Follow the path: ×3 → -7 → -1 → +7 → ×2. What is the final value?
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