Workbook Detail
Math Maze Mixed Small Hard — Set 66
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{
"contentData": {
"operation": "math-maze",
"subject": "arithmetic",
"difficulty": "hard",
"config": {
"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 → ×3 → +3 → -2 → -9. What is the final value?",
"answer": "28",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 3,
"result": 12
},
{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "+",
"operand": 3,
"result": 39
},
{
"op": "-",
"operand": 2,
"result": 37
},
{
"op": "-",
"operand": 9,
"result": 28
}
],
"finalValue": 28,
"pathDescription": "Step 1: +3 = 12; Step 2: ×3 = 36; Step 3: +3 = 39; Step 4: -2 = 37; Step 5: -9 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → -1 → +2 → -1 → -1. What is the final value?",
"answer": "-1",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
},
{
"op": "+",
"operand": 2,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
}
],
"finalValue": -1,
"pathDescription": "Step 1: -1 = 0; Step 2: -1 = -1; Step 3: +2 = 1; Step 4: -1 = 0; Step 5: -1 = -1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +6 → -9 → ×2 → ×3 → -20. What is the final value?",
"answer": "22",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 6,
"result": 16
},
{
"op": "-",
"operand": 9,
"result": 7
},
{
"op": "×",
"operand": 2,
"result": 14
},
{
"op": "×",
"operand": 3,
"result": 42
},
{
"op": "-",
"operand": 20,
"result": 22
}
],
"finalValue": 22,
"pathDescription": "Step 1: +6 = 16; Step 2: -9 = 7; Step 3: ×2 = 14; Step 4: ×3 = 42; Step 5: -20 = 22"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -1 → +7 → +2 → -4 → ×3. What is the final value?",
"answer": "33",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 1,
"result": 6
},
{
"op": "+",
"operand": 7,
"result": 13
},
{
"op": "+",
"operand": 2,
"result": 15
},
{
"op": "-",
"operand": 4,
"result": 11
},
{
"op": "×",
"operand": 3,
"result": 33
}
],
"finalValue": 33,
"pathDescription": "Step 1: -1 = 6; Step 2: +7 = 13; Step 3: +2 = 15; Step 4: -4 = 11; Step 5: ×3 = 33"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -2 → +6 → -1 → -2 → ×2. What is the final value?",
"answer": "16",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 2,
"result": 5
},
{
"op": "+",
"operand": 6,
"result": 11
},
{
"op": "-",
"operand": 1,
"result": 10
},
{
"op": "-",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
}
],
"finalValue": 16,
"pathDescription": "Step 1: -2 = 5; Step 2: +6 = 11; Step 3: -1 = 10; Step 4: -2 = 8; Step 5: ×2 = 16"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +2 → +9 → +5 → -7 → -5. What is the final value?",
"answer": "12",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 2,
"result": 10
},
{
"op": "+",
"operand": 9,
"result": 19
},
{
"op": "+",
"operand": 5,
"result": 24
},
{
"op": "-",
"operand": 7,
"result": 17
},
{
"op": "-",
"operand": 5,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: +2 = 10; Step 2: +9 = 19; Step 3: +5 = 24; Step 4: -7 = 17; Step 5: -5 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×3 → ×2 → ×4 → ×2 → ×2. What is the final value?",
"answer": "672",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "×",
"operand": 2,
"result": 42
},
{
"op": "×",
"operand": 4,
"result": 168
},
{
"op": "×",
"operand": 2,
"result": 336
},
{
"op": "×",
"operand": 2,
"result": 672
}
],
"finalValue": 672,
"pathDescription": "Step 1: ×3 = 21; Step 2: ×2 = 42; Step 3: ×4 = 168; Step 4: ×2 = 336; Step 5: ×2 = 672"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +10 → -17 → ×3 → ×2 → +7. What is the final value?",
"answer": "25",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 10,
"result": 20
},
{
"op": "-",
"operand": 17,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "+",
"operand": 7,
"result": 25
}
],
"finalValue": 25,
"pathDescription": "Step 1: +10 = 20; Step 2: -17 = 3; Step 3: ×3 = 9; Step 4: ×2 = 18; Step 5: +7 = 25"
}
],
"layout": {
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 9. Follow the path: +3 → ×3 → +3 → -2 → -9. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → -1 → +2 → -1 → -1. What is the final value?
- Math Maze: Start at 10. Follow the path: +6 → -9 → ×2 → ×3 → -20. What is the final value?
- Math Maze: Start at 7. Follow the path: -1 → +7 → +2 → -4 → ×3. What is the final value?
- Math Maze: Start at 7. Follow the path: -2 → +6 → -1 → -2 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: +2 → +9 → +5 → -7 → -5. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → ×2 → ×4 → ×2 → ×2. What is the final value?
- Math Maze: Start at 10. Follow the path: +10 → -17 → ×3 → ×2 → +7. What is the final value?
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