Workbook Detail
Math Maze Division Small Hard — Set 78
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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: +10 → ×2 → ×2 → +8 → ×3. What is the final value?",
"answer": "264",
"startValue": 10,
"steps": [
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"op": "+",
"operand": 10,
"result": 20
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{
"op": "×",
"operand": 2,
"result": 40
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{
"op": "×",
"operand": 2,
"result": 80
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{
"op": "+",
"operand": 8,
"result": 88
},
{
"op": "×",
"operand": 3,
"result": 264
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"finalValue": 264,
"pathDescription": "Step 1: +10 = 20; Step 2: ×2 = 40; Step 3: ×2 = 80; Step 4: +8 = 88; Step 5: ×3 = 264"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×2 → -1 → +5 → -5 → -1. What is the final value?",
"answer": "8",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 2,
"result": 10
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{
"op": "-",
"operand": 1,
"result": 9
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{
"op": "+",
"operand": 5,
"result": 14
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{
"op": "-",
"operand": 5,
"result": 9
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{
"op": "-",
"operand": 1,
"result": 8
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"finalValue": 8,
"pathDescription": "Step 1: ×2 = 10; Step 2: -1 = 9; Step 3: +5 = 14; Step 4: -5 = 9; Step 5: -1 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -1 → -2 → ×4 → -3 → -1. What is the final value?",
"answer": "0",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "-",
"operand": 2,
"result": 1
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{
"op": "×",
"operand": 4,
"result": 4
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{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
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],
"finalValue": 0,
"pathDescription": "Step 1: -1 = 3; Step 2: -2 = 1; Step 3: ×4 = 4; Step 4: -3 = 1; Step 5: -1 = 0"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×3 → ×4 → -191. What is the final value?",
"answer": "97",
"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": 191,
"result": 97
}
],
"finalValue": 97,
"pathDescription": "Step 1: ×3 = 6; Step 2: ×4 = 24; Step 3: ×3 = 72; Step 4: ×4 = 288; Step 5: -191 = 97"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +6 → -2 → -4 → -4 → -4. What is the final value?",
"answer": "1",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 6,
"result": 15
},
{
"op": "-",
"operand": 2,
"result": 13
},
{
"op": "-",
"operand": 4,
"result": 9
},
{
"op": "-",
"operand": 4,
"result": 5
},
{
"op": "-",
"operand": 4,
"result": 1
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],
"finalValue": 1,
"pathDescription": "Step 1: +6 = 15; Step 2: -2 = 13; Step 3: -4 = 9; Step 4: -4 = 5; Step 5: -4 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×2 → +5 → +1 → ×4 → ×2. What is the final value?",
"answer": "112",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "+",
"operand": 5,
"result": 13
},
{
"op": "+",
"operand": 1,
"result": 14
},
{
"op": "×",
"operand": 4,
"result": 56
},
{
"op": "×",
"operand": 2,
"result": 112
}
],
"finalValue": 112,
"pathDescription": "Step 1: ×2 = 8; Step 2: +5 = 13; Step 3: +1 = 14; Step 4: ×4 = 56; Step 5: ×2 = 112"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -2 → ×3 → ×3 → +1 → ×4. What is the final value?",
"answer": "220",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 2,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "×",
"operand": 3,
"result": 54
},
{
"op": "+",
"operand": 1,
"result": 55
},
{
"op": "×",
"operand": 4,
"result": 220
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],
"finalValue": 220,
"pathDescription": "Step 1: -2 = 6; Step 2: ×3 = 18; Step 3: ×3 = 54; Step 4: +1 = 55; Step 5: ×4 = 220"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: ×2 → +6 → -1 → +7 → +5. What is the final value?",
"answer": "29",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 2,
"result": 12
},
{
"op": "+",
"operand": 6,
"result": 18
},
{
"op": "-",
"operand": 1,
"result": 17
},
{
"op": "+",
"operand": 7,
"result": 24
},
{
"op": "+",
"operand": 5,
"result": 29
}
],
"finalValue": 29,
"pathDescription": "Step 1: ×2 = 12; Step 2: +6 = 18; Step 3: -1 = 17; Step 4: +7 = 24; Step 5: +5 = 29"
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: +10 → ×2 → ×2 → +8 → ×3. What is the final value?
- Math Maze: Start at 5. Follow the path: ×2 → -1 → +5 → -5 → -1. What is the final value?
- Math Maze: Start at 4. Follow the path: -1 → -2 → ×4 → -3 → -1. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → ×4 → ×3 → ×4 → -191. What is the final value?
- Math Maze: Start at 9. Follow the path: +6 → -2 → -4 → -4 → -4. What is the final value?
- Math Maze: Start at 4. Follow the path: ×2 → +5 → +1 → ×4 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: -2 → ×3 → ×3 → +1 → ×4. What is the final value?
- Math Maze: Start at 6. Follow the path: ×2 → +6 → -1 → +7 → +5. What is the final value?
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