Workbook Detail
Math Maze Mixed Small Hard — Set 53
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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 2. Follow the path: -1 → -1 → +10 → ×3 → -2. What is the final value?",
"answer": "28",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
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"operand": 10,
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"operand": 3,
"result": 30
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{
"op": "-",
"operand": 2,
"result": 28
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"finalValue": 28,
"pathDescription": "Step 1: -1 = 1; Step 2: -1 = 0; Step 3: +10 = 10; Step 4: ×3 = 30; Step 5: -2 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×2 → -1 → +2 → +3 → -5. What is the final value?",
"answer": "3",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 2,
"result": 4
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{
"op": "-",
"operand": 1,
"result": 3
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{
"op": "+",
"operand": 2,
"result": 5
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{
"op": "+",
"operand": 3,
"result": 8
},
{
"op": "-",
"operand": 5,
"result": 3
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],
"finalValue": 3,
"pathDescription": "Step 1: ×2 = 4; Step 2: -1 = 3; Step 3: +2 = 5; Step 4: +3 = 8; Step 5: -5 = 3"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +8 → -2 → -3 → ×4 → -5. What is the final value?",
"answer": "19",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 8,
"result": 11
},
{
"op": "-",
"operand": 2,
"result": 9
},
{
"op": "-",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
},
{
"op": "-",
"operand": 5,
"result": 19
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],
"finalValue": 19,
"pathDescription": "Step 1: +8 = 11; Step 2: -2 = 9; Step 3: -3 = 6; Step 4: ×4 = 24; Step 5: -5 = 19"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → +3 → -1 → +3 → +3. What is the final value?",
"answer": "8",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 3,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 3,
"result": 5
},
{
"op": "+",
"operand": 3,
"result": 8
}
],
"finalValue": 8,
"pathDescription": "Step 1: -1 = 0; Step 2: +3 = 3; Step 3: -1 = 2; Step 4: +3 = 5; Step 5: +3 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -5 → +8 → -12 → -1 → -1. What is the final value?",
"answer": "-1",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 5,
"result": 5
},
{
"op": "+",
"operand": 8,
"result": 13
},
{
"op": "-",
"operand": 12,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
}
],
"finalValue": -1,
"pathDescription": "Step 1: -5 = 5; Step 2: +8 = 13; Step 3: -12 = 1; Step 4: -1 = 0; Step 5: -1 = -1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +7 → -11 → ×2 → +9 → +2. What is the final value?",
"answer": "17",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 7,
"result": 14
},
{
"op": "-",
"operand": 11,
"result": 3
},
{
"op": "×",
"operand": 2,
"result": 6
},
{
"op": "+",
"operand": 9,
"result": 15
},
{
"op": "+",
"operand": 2,
"result": 17
}
],
"finalValue": 17,
"pathDescription": "Step 1: +7 = 14; Step 2: -11 = 3; Step 3: ×2 = 6; Step 4: +9 = 15; Step 5: +2 = 17"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -1 → ×2 → -4 → ×3 → -1. What is the final value?",
"answer": "11",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 1,
"result": 4
},
{
"op": "×",
"operand": 2,
"result": 8
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{
"op": "-",
"operand": 4,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "-",
"operand": 1,
"result": 11
}
],
"finalValue": 11,
"pathDescription": "Step 1: -1 = 4; Step 2: ×2 = 8; Step 3: -4 = 4; Step 4: ×3 = 12; Step 5: -1 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → ×4 → +10 → -70 → +6. What is the final value?",
"answer": "66",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "×",
"operand": 4,
"result": 120
},
{
"op": "+",
"operand": 10,
"result": 130
},
{
"op": "-",
"operand": 70,
"result": 60
},
{
"op": "+",
"operand": 6,
"result": 66
}
],
"finalValue": 66,
"pathDescription": "Step 1: ×3 = 30; Step 2: ×4 = 120; Step 3: +10 = 130; Step 4: -70 = 60; Step 5: +6 = 66"
}
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 2. Follow the path: -1 → -1 → +10 → ×3 → -2. What is the final value?
- Math Maze: Start at 2. Follow the path: ×2 → -1 → +2 → +3 → -5. What is the final value?
- Math Maze: Start at 3. Follow the path: +8 → -2 → -3 → ×4 → -5. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → +3 → -1 → +3 → +3. What is the final value?
- Math Maze: Start at 10. Follow the path: -5 → +8 → -12 → -1 → -1. What is the final value?
- Math Maze: Start at 7. Follow the path: +7 → -11 → ×2 → +9 → +2. What is the final value?
- Math Maze: Start at 5. Follow the path: -1 → ×2 → -4 → ×3 → -1. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → ×4 → +10 → -70 → +6. What is the final value?
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