Workbook Detail
Math Maze Multiplication Small Hard — Set 74
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"operation": "math-maze",
"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: +9 → +8 → ×4 → -53 → -15. What is the final value?",
"answer": "40",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 9,
"result": 19
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{
"op": "+",
"operand": 8,
"result": 27
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{
"op": "×",
"operand": 4,
"result": 108
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{
"op": "-",
"operand": 53,
"result": 55
},
{
"op": "-",
"operand": 15,
"result": 40
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"finalValue": 40,
"pathDescription": "Step 1: +9 = 19; Step 2: +8 = 27; Step 3: ×4 = 108; Step 4: -53 = 55; Step 5: -15 = 40"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -5 → ×4 → -2 → ×3 → -4. What is the final value?",
"answer": "2",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 5,
"result": 1
},
{
"op": "×",
"operand": 4,
"result": 4
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{
"op": "-",
"operand": 2,
"result": 2
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{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 4,
"result": 2
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],
"finalValue": 2,
"pathDescription": "Step 1: -5 = 1; Step 2: ×4 = 4; Step 3: -2 = 2; Step 4: ×3 = 6; Step 5: -4 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -3 → ×4 → +9 → +7 → -7. What is the final value?",
"answer": "17",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 3,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "+",
"operand": 9,
"result": 17
},
{
"op": "+",
"operand": 7,
"result": 24
},
{
"op": "-",
"operand": 7,
"result": 17
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],
"finalValue": 17,
"pathDescription": "Step 1: -3 = 2; Step 2: ×4 = 8; Step 3: +9 = 17; Step 4: +7 = 24; Step 5: -7 = 17"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: ×3 → ×3 → ×3 → ×2 → +2. What is the final value?",
"answer": "164",
"startValue": 3,
"steps": [
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "×",
"operand": 3,
"result": 81
},
{
"op": "×",
"operand": 2,
"result": 162
},
{
"op": "+",
"operand": 2,
"result": 164
}
],
"finalValue": 164,
"pathDescription": "Step 1: ×3 = 9; Step 2: ×3 = 27; Step 3: ×3 = 81; Step 4: ×2 = 162; Step 5: +2 = 164"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -1 → ×4 → -18 → +6 → -2. What is the final value?",
"answer": "14",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 1,
"result": 7
},
{
"op": "×",
"operand": 4,
"result": 28
},
{
"op": "-",
"operand": 18,
"result": 10
},
{
"op": "+",
"operand": 6,
"result": 16
},
{
"op": "-",
"operand": 2,
"result": 14
}
],
"finalValue": 14,
"pathDescription": "Step 1: -1 = 7; Step 2: ×4 = 28; Step 3: -18 = 10; Step 4: +6 = 16; Step 5: -2 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -3 → -1 → +6 → +7 → +6. What is the final value?",
"answer": "19",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 6,
"result": 6
},
{
"op": "+",
"operand": 7,
"result": 13
},
{
"op": "+",
"operand": 6,
"result": 19
}
],
"finalValue": 19,
"pathDescription": "Step 1: -3 = 1; Step 2: -1 = 0; Step 3: +6 = 6; Step 4: +7 = 13; Step 5: +6 = 19"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×2 → +7 → ×2 → +3 → -4. What is the final value?",
"answer": "49",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "+",
"operand": 7,
"result": 25
},
{
"op": "×",
"operand": 2,
"result": 50
},
{
"op": "+",
"operand": 3,
"result": 53
},
{
"op": "-",
"operand": 4,
"result": 49
}
],
"finalValue": 49,
"pathDescription": "Step 1: ×2 = 18; Step 2: +7 = 25; Step 3: ×2 = 50; Step 4: +3 = 53; Step 5: -4 = 49"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×4 → ×3 → +1 → -37 → ×4. What is the final value?",
"answer": "96",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 4,
"result": 20
},
{
"op": "×",
"operand": 3,
"result": 60
},
{
"op": "+",
"operand": 1,
"result": 61
},
{
"op": "-",
"operand": 37,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
}
],
"finalValue": 96,
"pathDescription": "Step 1: ×4 = 20; Step 2: ×3 = 60; Step 3: +1 = 61; Step 4: -37 = 24; Step 5: ×4 = 96"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 10. Follow the path: +9 → +8 → ×4 → -53 → -15. What is the final value?
- Math Maze: Start at 6. Follow the path: -5 → ×4 → -2 → ×3 → -4. What is the final value?
- Math Maze: Start at 5. Follow the path: -3 → ×4 → +9 → +7 → -7. What is the final value?
- Math Maze: Start at 3. Follow the path: ×3 → ×3 → ×3 → ×2 → +2. What is the final value?
- Math Maze: Start at 8. Follow the path: -1 → ×4 → -18 → +6 → -2. What is the final value?
- Math Maze: Start at 4. Follow the path: -3 → -1 → +6 → +7 → +6. What is the final value?
- Math Maze: Start at 9. Follow the path: ×2 → +7 → ×2 → +3 → -4. What is the final value?
- Math Maze: Start at 5. Follow the path: ×4 → ×3 → +1 → -37 → ×4. What is the final value?
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