Workbook Detail
Math Maze Multiplication Hard — Set 29
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"subject": "arithmetic",
"difficulty": "hard",
"config": {
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +10 → +5 → +1 → ×2 → +10. What is the final value?",
"answer": "62",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 10,
"result": 20
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{
"op": "+",
"operand": 5,
"result": 25
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{
"op": "+",
"operand": 1,
"result": 26
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{
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"operand": 2,
"result": 52
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{
"op": "+",
"operand": 10,
"result": 62
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"finalValue": 62,
"pathDescription": "Step 1: +10 = 20; Step 2: +5 = 25; Step 3: +1 = 26; Step 4: ×2 = 52; Step 5: +10 = 62"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×2 → -1 → ×4 → +7 → -54. What is the final value?",
"answer": "13",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 2,
"result": 16
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{
"op": "-",
"operand": 1,
"result": 15
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{
"op": "×",
"operand": 4,
"result": 60
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{
"op": "+",
"operand": 7,
"result": 67
},
{
"op": "-",
"operand": 54,
"result": 13
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"finalValue": 13,
"pathDescription": "Step 1: ×2 = 16; Step 2: -1 = 15; Step 3: ×4 = 60; Step 4: +7 = 67; Step 5: -54 = 13"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +5 → +3 → ×3 → +6 → -16. What is the final value?",
"answer": "44",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 5,
"result": 15
},
{
"op": "+",
"operand": 3,
"result": 18
},
{
"op": "×",
"operand": 3,
"result": 54
},
{
"op": "+",
"operand": 6,
"result": 60
},
{
"op": "-",
"operand": 16,
"result": 44
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],
"finalValue": 44,
"pathDescription": "Step 1: +5 = 15; Step 2: +3 = 18; Step 3: ×3 = 54; Step 4: +6 = 60; Step 5: -16 = 44"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -2 → ×2 → +10 → ×4 → ×4. What is the final value?",
"answer": "224",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 2,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
},
{
"op": "+",
"operand": 10,
"result": 14
},
{
"op": "×",
"operand": 4,
"result": 56
},
{
"op": "×",
"operand": 4,
"result": 224
}
],
"finalValue": 224,
"pathDescription": "Step 1: -2 = 2; Step 2: ×2 = 4; Step 3: +10 = 14; Step 4: ×4 = 56; Step 5: ×4 = 224"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -3 → -1 → -2 → +2 → +1. What is the final value?",
"answer": "4",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 3,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "+",
"operand": 2,
"result": 3
},
{
"op": "+",
"operand": 1,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: -3 = 4; Step 2: -1 = 3; Step 3: -2 = 1; Step 4: +2 = 3; Step 5: +1 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +2 → +9 → ×4 → +3 → +7. What is the final value?",
"answer": "94",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 2,
"result": 12
},
{
"op": "+",
"operand": 9,
"result": 21
},
{
"op": "×",
"operand": 4,
"result": 84
},
{
"op": "+",
"operand": 3,
"result": 87
},
{
"op": "+",
"operand": 7,
"result": 94
}
],
"finalValue": 94,
"pathDescription": "Step 1: +2 = 12; Step 2: +9 = 21; Step 3: ×4 = 84; Step 4: +3 = 87; Step 5: +7 = 94"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → ×4 → -3 → ×2 → -1. What is the final value?",
"answer": "1",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "×",
"operand": 4,
"result": 4
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{
"op": "-",
"operand": 3,
"result": 1
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{
"op": "×",
"operand": 2,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: -1 = 1; Step 2: ×4 = 4; Step 3: -3 = 1; Step 4: ×2 = 2; Step 5: -1 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +7 → -6 → -1 → +3 → +3. What is the final value?",
"answer": "7",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 7,
"result": 8
},
{
"op": "-",
"operand": 6,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "+",
"operand": 3,
"result": 4
},
{
"op": "+",
"operand": 3,
"result": 7
}
],
"finalValue": 7,
"pathDescription": "Step 1: +7 = 8; Step 2: -6 = 2; Step 3: -1 = 1; Step 4: +3 = 4; Step 5: +3 = 7"
}
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: +10 → +5 → +1 → ×2 → +10. What is the final value?
- Math Maze: Start at 8. Follow the path: ×2 → -1 → ×4 → +7 → -54. What is the final value?
- Math Maze: Start at 10. Follow the path: +5 → +3 → ×3 → +6 → -16. What is the final value?
- Math Maze: Start at 4. Follow the path: -2 → ×2 → +10 → ×4 → ×4. What is the final value?
- Math Maze: Start at 7. Follow the path: -3 → -1 → -2 → +2 → +1. What is the final value?
- Math Maze: Start at 10. Follow the path: +2 → +9 → ×4 → +3 → +7. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → ×4 → -3 → ×2 → -1. What is the final value?
- Math Maze: Start at 1. Follow the path: +7 → -6 → -1 → +3 → +3. What is the final value?
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