Workbook Detail
Math Maze Multiplication Hard — Set 94
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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 1. Follow the path: -1 → -1 → -1 → -1 → -1. What is the final value?",
"answer": "-4",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "-",
"operand": 1,
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{
"op": "-",
"operand": 1,
"result": -2
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{
"op": "-",
"operand": 1,
"result": -3
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{
"op": "-",
"operand": 1,
"result": -4
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"finalValue": -4,
"pathDescription": "Step 1: -1 = 0; Step 2: -1 = -1; Step 3: -1 = -2; Step 4: -1 = -3; Step 5: -1 = -4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -2 → +2 → ×2 → +2 → -2. What is the final value?",
"answer": "10",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 2,
"result": 3
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{
"op": "+",
"operand": 2,
"result": 5
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{
"op": "×",
"operand": 2,
"result": 10
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{
"op": "+",
"operand": 2,
"result": 12
},
{
"op": "-",
"operand": 2,
"result": 10
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],
"finalValue": 10,
"pathDescription": "Step 1: -2 = 3; Step 2: +2 = 5; Step 3: ×2 = 10; Step 4: +2 = 12; Step 5: -2 = 10"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×4 → ×4 → +1 → ×3 → ×4. What is the final value?",
"answer": "1932",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 4,
"result": 40
},
{
"op": "×",
"operand": 4,
"result": 160
},
{
"op": "+",
"operand": 1,
"result": 161
},
{
"op": "×",
"operand": 3,
"result": 483
},
{
"op": "×",
"operand": 4,
"result": 1932
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],
"finalValue": 1932,
"pathDescription": "Step 1: ×4 = 40; Step 2: ×4 = 160; Step 3: +1 = 161; Step 4: ×3 = 483; Step 5: ×4 = 1932"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +2 → ×3 → ×2 → -24 → ×2. What is the final value?",
"answer": "72",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 2,
"result": 10
},
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "×",
"operand": 2,
"result": 60
},
{
"op": "-",
"operand": 24,
"result": 36
},
{
"op": "×",
"operand": 2,
"result": 72
}
],
"finalValue": 72,
"pathDescription": "Step 1: +2 = 10; Step 2: ×3 = 30; Step 3: ×2 = 60; Step 4: -24 = 36; Step 5: ×2 = 72"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +6 → -5 → +4 → ×3 → -13. What is the final value?",
"answer": "14",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 6,
"result": 10
},
{
"op": "-",
"operand": 5,
"result": 5
},
{
"op": "+",
"operand": 4,
"result": 9
},
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "-",
"operand": 13,
"result": 14
}
],
"finalValue": 14,
"pathDescription": "Step 1: +6 = 10; Step 2: -5 = 5; Step 3: +4 = 9; Step 4: ×3 = 27; Step 5: -13 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×4 → -4 → -6 → +6 → +1. What is the final value?",
"answer": "17",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 4,
"result": 20
},
{
"op": "-",
"operand": 4,
"result": 16
},
{
"op": "-",
"operand": 6,
"result": 10
},
{
"op": "+",
"operand": 6,
"result": 16
},
{
"op": "+",
"operand": 1,
"result": 17
}
],
"finalValue": 17,
"pathDescription": "Step 1: ×4 = 20; Step 2: -4 = 16; Step 3: -6 = 10; Step 4: +6 = 16; Step 5: +1 = 17"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +1 → +4 → -2 → +8 → ×3. What is the final value?",
"answer": "57",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 1,
"result": 9
},
{
"op": "+",
"operand": 4,
"result": 13
},
{
"op": "-",
"operand": 2,
"result": 11
},
{
"op": "+",
"operand": 8,
"result": 19
},
{
"op": "×",
"operand": 3,
"result": 57
}
],
"finalValue": 57,
"pathDescription": "Step 1: +1 = 9; Step 2: +4 = 13; Step 3: -2 = 11; Step 4: +8 = 19; Step 5: ×3 = 57"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×3 → -18 → -8 → ×4 → -2. What is the final value?",
"answer": "2",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "-",
"operand": 18,
"result": 9
},
{
"op": "-",
"operand": 8,
"result": 1
},
{
"op": "×",
"operand": 4,
"result": 4
},
{
"op": "-",
"operand": 2,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: ×3 = 27; Step 2: -18 = 9; Step 3: -8 = 1; Step 4: ×4 = 4; Step 5: -2 = 2"
}
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 1. Follow the path: -1 → -1 → -1 → -1 → -1. What is the final value?
- Math Maze: Start at 5. Follow the path: -2 → +2 → ×2 → +2 → -2. What is the final value?
- Math Maze: Start at 10. Follow the path: ×4 → ×4 → +1 → ×3 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: +2 → ×3 → ×2 → -24 → ×2. What is the final value?
- Math Maze: Start at 4. Follow the path: +6 → -5 → +4 → ×3 → -13. What is the final value?
- Math Maze: Start at 5. Follow the path: ×4 → -4 → -6 → +6 → +1. What is the final value?
- Math Maze: Start at 8. Follow the path: +1 → +4 → -2 → +8 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: ×3 → -18 → -8 → ×4 → -2. What is the final value?
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