Workbook Detail
Math Maze Division Small Hard — Set 47
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"operation": "math-maze",
"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: ×4 → +2 → ×2 → +9 → -36. What is the final value?",
"answer": "57",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 4,
"result": 40
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{
"op": "+",
"operand": 2,
"result": 42
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{
"op": "×",
"operand": 2,
"result": 84
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{
"op": "+",
"operand": 9,
"result": 93
},
{
"op": "-",
"operand": 36,
"result": 57
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"finalValue": 57,
"pathDescription": "Step 1: ×4 = 40; Step 2: +2 = 42; Step 3: ×2 = 84; Step 4: +9 = 93; Step 5: -36 = 57"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +8 → +7 → -3 → -2 → ×4. What is the final value?",
"answer": "44",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 8,
"result": 9
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{
"op": "+",
"operand": 7,
"result": 16
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{
"op": "-",
"operand": 3,
"result": 13
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{
"op": "-",
"operand": 2,
"result": 11
},
{
"op": "×",
"operand": 4,
"result": 44
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],
"finalValue": 44,
"pathDescription": "Step 1: +8 = 9; Step 2: +7 = 16; Step 3: -3 = 13; Step 4: -2 = 11; Step 5: ×4 = 44"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -7 → -1 → -1 → ×2 → -1. What is the final value?",
"answer": "-3",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 7,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
},
{
"op": "×",
"operand": 2,
"result": -2
},
{
"op": "-",
"operand": 1,
"result": -3
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],
"finalValue": -3,
"pathDescription": "Step 1: -7 = 1; Step 2: -1 = 0; Step 3: -1 = -1; Step 4: ×2 = -2; Step 5: -1 = -3"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -2 → +9 → -2 → +6 → -11. What is the final value?",
"answer": "3",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "+",
"operand": 9,
"result": 10
},
{
"op": "-",
"operand": 2,
"result": 8
},
{
"op": "+",
"operand": 6,
"result": 14
},
{
"op": "-",
"operand": 11,
"result": 3
}
],
"finalValue": 3,
"pathDescription": "Step 1: -2 = 1; Step 2: +9 = 10; Step 3: -2 = 8; Step 4: +6 = 14; Step 5: -11 = 3"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -1 → +6 → ×2 → +6 → +7. What is the final value?",
"answer": "39",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 1,
"result": 7
},
{
"op": "+",
"operand": 6,
"result": 13
},
{
"op": "×",
"operand": 2,
"result": 26
},
{
"op": "+",
"operand": 6,
"result": 32
},
{
"op": "+",
"operand": 7,
"result": 39
}
],
"finalValue": 39,
"pathDescription": "Step 1: -1 = 7; Step 2: +6 = 13; Step 3: ×2 = 26; Step 4: +6 = 32; Step 5: +7 = 39"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -7 → -1 → ×4 → ×4 → +4. What is the final value?",
"answer": "4",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 7,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "×",
"operand": 4,
"result": 0
},
{
"op": "×",
"operand": 4,
"result": 0
},
{
"op": "+",
"operand": 4,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: -7 = 1; Step 2: -1 = 0; Step 3: ×4 = 0; Step 4: ×4 = 0; Step 5: +4 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×3 → ×4 → ×3. What is the final value?",
"answer": "864",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
},
{
"op": "×",
"operand": 3,
"result": 72
},
{
"op": "×",
"operand": 4,
"result": 288
},
{
"op": "×",
"operand": 3,
"result": 864
}
],
"finalValue": 864,
"pathDescription": "Step 1: ×3 = 6; Step 2: ×4 = 24; Step 3: ×3 = 72; Step 4: ×4 = 288; Step 5: ×3 = 864"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +5 → +5 → +5 → ×4 → ×3. What is the final value?",
"answer": "288",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 5,
"result": 14
},
{
"op": "+",
"operand": 5,
"result": 19
},
{
"op": "+",
"operand": 5,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
},
{
"op": "×",
"operand": 3,
"result": 288
}
],
"finalValue": 288,
"pathDescription": "Step 1: +5 = 14; Step 2: +5 = 19; Step 3: +5 = 24; Step 4: ×4 = 96; Step 5: ×3 = 288"
}
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 10. Follow the path: ×4 → +2 → ×2 → +9 → -36. What is the final value?
- Math Maze: Start at 1. Follow the path: +8 → +7 → -3 → -2 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: -7 → -1 → -1 → ×2 → -1. What is the final value?
- Math Maze: Start at 3. Follow the path: -2 → +9 → -2 → +6 → -11. What is the final value?
- Math Maze: Start at 8. Follow the path: -1 → +6 → ×2 → +6 → +7. What is the final value?
- Math Maze: Start at 8. Follow the path: -7 → -1 → ×4 → ×4 → +4. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×3 → ×4 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: +5 → +5 → +5 → ×4 → ×3. What is the final value?
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