Workbook Detail
Math Maze Multiplication Small Hard — Set 39
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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 9. Follow the path: ×3 → ×4 → ×2 → +6 → ×4. What is the final value?",
"answer": "888",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 3,
"result": 27
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{
"op": "×",
"operand": 4,
"result": 108
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{
"op": "×",
"operand": 2,
"result": 216
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{
"op": "+",
"operand": 6,
"result": 222
},
{
"op": "×",
"operand": 4,
"result": 888
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],
"finalValue": 888,
"pathDescription": "Step 1: ×3 = 27; Step 2: ×4 = 108; Step 3: ×2 = 216; Step 4: +6 = 222; Step 5: ×4 = 888"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +1 → +2 → -6 → +9 → ×2. What is the final value?",
"answer": "30",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 1,
"result": 10
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{
"op": "+",
"operand": 2,
"result": 12
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{
"op": "-",
"operand": 6,
"result": 6
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{
"op": "+",
"operand": 9,
"result": 15
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{
"op": "×",
"operand": 2,
"result": 30
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],
"finalValue": 30,
"pathDescription": "Step 1: +1 = 10; Step 2: +2 = 12; Step 3: -6 = 6; Step 4: +9 = 15; Step 5: ×2 = 30"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → ×3 → -3 → ×3 → +2. What is the final value?",
"answer": "11",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 3,
"result": 3
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{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "+",
"operand": 2,
"result": 11
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],
"finalValue": 11,
"pathDescription": "Step 1: -1 = 2; Step 2: ×3 = 6; Step 3: -3 = 3; Step 4: ×3 = 9; Step 5: +2 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +5 → -4 → +9 → +7 → -10. What is the final value?",
"answer": "15",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 5,
"result": 13
},
{
"op": "-",
"operand": 4,
"result": 9
},
{
"op": "+",
"operand": 9,
"result": 18
},
{
"op": "+",
"operand": 7,
"result": 25
},
{
"op": "-",
"operand": 10,
"result": 15
}
],
"finalValue": 15,
"pathDescription": "Step 1: +5 = 13; Step 2: -4 = 9; Step 3: +9 = 18; Step 4: +7 = 25; Step 5: -10 = 15"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +2 → -5 → -1 → ×4 → +10. What is the final value?",
"answer": "22",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 2,
"result": 9
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{
"op": "-",
"operand": 5,
"result": 4
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{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "×",
"operand": 4,
"result": 12
},
{
"op": "+",
"operand": 10,
"result": 22
}
],
"finalValue": 22,
"pathDescription": "Step 1: +2 = 9; Step 2: -5 = 4; Step 3: -1 = 3; Step 4: ×4 = 12; Step 5: +10 = 22"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×2 → +9 → -10 → +3 → ×3. What is the final value?",
"answer": "12",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 2,
"result": 2
},
{
"op": "+",
"operand": 9,
"result": 11
},
{
"op": "-",
"operand": 10,
"result": 1
},
{
"op": "+",
"operand": 3,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: ×2 = 2; Step 2: +9 = 11; Step 3: -10 = 1; Step 4: +3 = 4; Step 5: ×3 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -8 → ×2 → +2 → -3 → -1. What is the final value?",
"answer": "2",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 8,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
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{
"op": "+",
"operand": 2,
"result": 6
},
{
"op": "-",
"operand": 3,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
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],
"finalValue": 2,
"pathDescription": "Step 1: -8 = 2; Step 2: ×2 = 4; Step 3: +2 = 6; Step 4: -3 = 3; Step 5: -1 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -1 → +3 → -1 → -8 → -1. What is the final value?",
"answer": "0",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 1,
"result": 7
},
{
"op": "+",
"operand": 3,
"result": 10
},
{
"op": "-",
"operand": 1,
"result": 9
},
{
"op": "-",
"operand": 8,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
}
],
"finalValue": 0,
"pathDescription": "Step 1: -1 = 7; Step 2: +3 = 10; Step 3: -1 = 9; Step 4: -8 = 1; Step 5: -1 = 0"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 9. Follow the path: ×3 → ×4 → ×2 → +6 → ×4. What is the final value?
- Math Maze: Start at 9. Follow the path: +1 → +2 → -6 → +9 → ×2. What is the final value?
- Math Maze: Start at 3. Follow the path: -1 → ×3 → -3 → ×3 → +2. What is the final value?
- Math Maze: Start at 8. Follow the path: +5 → -4 → +9 → +7 → -10. What is the final value?
- Math Maze: Start at 7. Follow the path: +2 → -5 → -1 → ×4 → +10. What is the final value?
- Math Maze: Start at 1. Follow the path: ×2 → +9 → -10 → +3 → ×3. What is the final value?
- Math Maze: Start at 10. Follow the path: -8 → ×2 → +2 → -3 → -1. What is the final value?
- Math Maze: Start at 8. Follow the path: -1 → +3 → -1 → -8 → -1. What is the final value?
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