Workbook Detail
Math Maze Mixed Small Hard — Set 35
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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 10. Follow the path: +3 → ×3 → +9 → -28 → ×2. What is the final value?",
"answer": "40",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 3,
"result": 13
},
{
"op": "×",
"operand": 3,
"result": 39
},
{
"op": "+",
"operand": 9,
"result": 48
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{
"op": "-",
"operand": 28,
"result": 20
},
{
"op": "×",
"operand": 2,
"result": 40
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],
"finalValue": 40,
"pathDescription": "Step 1: +3 = 13; Step 2: ×3 = 39; Step 3: +9 = 48; Step 4: -28 = 20; Step 5: ×2 = 40"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×3 → +10 → +9 → -19 → -10. What is the final value?",
"answer": "11",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "+",
"operand": 10,
"result": 31
},
{
"op": "+",
"operand": 9,
"result": 40
},
{
"op": "-",
"operand": 19,
"result": 21
},
{
"op": "-",
"operand": 10,
"result": 11
}
],
"finalValue": 11,
"pathDescription": "Step 1: ×3 = 21; Step 2: +10 = 31; Step 3: +9 = 40; Step 4: -19 = 21; Step 5: -10 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +10 → -14 → +4 → +6 → ×2. What is the final value?",
"answer": "30",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 10,
"result": 19
},
{
"op": "-",
"operand": 14,
"result": 5
},
{
"op": "+",
"operand": 4,
"result": 9
},
{
"op": "+",
"operand": 6,
"result": 15
},
{
"op": "×",
"operand": 2,
"result": 30
}
],
"finalValue": 30,
"pathDescription": "Step 1: +10 = 19; Step 2: -14 = 5; Step 3: +4 = 9; Step 4: +6 = 15; Step 5: ×2 = 30"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×4 → +6 → ×2 → +4 → -42. What is the final value?",
"answer": "6",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 4,
"result": 16
},
{
"op": "+",
"operand": 6,
"result": 22
},
{
"op": "×",
"operand": 2,
"result": 44
},
{
"op": "+",
"operand": 4,
"result": 48
},
{
"op": "-",
"operand": 42,
"result": 6
}
],
"finalValue": 6,
"pathDescription": "Step 1: ×4 = 16; Step 2: +6 = 22; Step 3: ×2 = 44; Step 4: +4 = 48; Step 5: -42 = 6"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +5 → -2 → +5 → ×3 → +9. What is the final value?",
"answer": "42",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 5,
"result": 8
},
{
"op": "-",
"operand": 2,
"result": 6
},
{
"op": "+",
"operand": 5,
"result": 11
},
{
"op": "×",
"operand": 3,
"result": 33
},
{
"op": "+",
"operand": 9,
"result": 42
}
],
"finalValue": 42,
"pathDescription": "Step 1: +5 = 8; Step 2: -2 = 6; Step 3: +5 = 11; Step 4: ×3 = 33; Step 5: +9 = 42"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -2 → +8 → -8 → +2 → -1. What is the final value?",
"answer": "2",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "+",
"operand": 8,
"result": 9
},
{
"op": "-",
"operand": 8,
"result": 1
},
{
"op": "+",
"operand": 2,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: -2 = 1; Step 2: +8 = 9; Step 3: -8 = 1; Step 4: +2 = 3; Step 5: -1 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → ×3 → ×3 → ×4 → ×4. What is the final value?",
"answer": "144",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "×",
"operand": 4,
"result": 144
}
],
"finalValue": 144,
"pathDescription": "Step 1: -1 = 1; Step 2: ×3 = 3; Step 3: ×3 = 9; Step 4: ×4 = 36; Step 5: ×4 = 144"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -2 → ×3 → ×2 → -12 → +7. What is the final value?",
"answer": "13",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 2,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "-",
"operand": 12,
"result": 6
},
{
"op": "+",
"operand": 7,
"result": 13
}
],
"finalValue": 13,
"pathDescription": "Step 1: -2 = 3; Step 2: ×3 = 9; Step 3: ×2 = 18; Step 4: -12 = 6; Step 5: +7 = 13"
}
],
"layout": {
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 10. Follow the path: +3 → ×3 → +9 → -28 → ×2. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → +10 → +9 → -19 → -10. What is the final value?
- Math Maze: Start at 9. Follow the path: +10 → -14 → +4 → +6 → ×2. What is the final value?
- Math Maze: Start at 4. Follow the path: ×4 → +6 → ×2 → +4 → -42. What is the final value?
- Math Maze: Start at 3. Follow the path: +5 → -2 → +5 → ×3 → +9. What is the final value?
- Math Maze: Start at 3. Follow the path: -2 → +8 → -8 → +2 → -1. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → ×3 → ×3 → ×4 → ×4. What is the final value?
- Math Maze: Start at 5. Follow the path: -2 → ×3 → ×2 → -12 → +7. What is the final value?
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