Workbook Detail
Math Maze Subtraction Small Medium — Set 66
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{
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"subject": "arithmetic",
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 10. Follow the path: ×3 → -21 → ×3 → ×2. What is the final value?",
"answer": "54",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
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{
"op": "-",
"operand": 21,
"result": 9
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{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "×",
"operand": 2,
"result": 54
}
],
"finalValue": 54,
"pathDescription": "Step 1: ×3 = 30; Step 2: -21 = 9; Step 3: ×3 = 27; Step 4: ×2 = 54"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 2. Follow the path: -1 → +5 → ×2 → -8. What is the final value?",
"answer": "4",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "+",
"operand": 5,
"result": 6
},
{
"op": "×",
"operand": 2,
"result": 12
},
{
"op": "-",
"operand": 8,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: -1 = 1; Step 2: +5 = 6; Step 3: ×2 = 12; Step 4: -8 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 7. Follow the path: -3 → ×2 → +7 → -1. What is the final value?",
"answer": "14",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 3,
"result": 4
},
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "+",
"operand": 7,
"result": 15
},
{
"op": "-",
"operand": 1,
"result": 14
}
],
"finalValue": 14,
"pathDescription": "Step 1: -3 = 4; Step 2: ×2 = 8; Step 3: +7 = 15; Step 4: -1 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 7. Follow the path: ×3 → +2 → -20 → -1. What is the final value?",
"answer": "2",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "+",
"operand": 2,
"result": 23
},
{
"op": "-",
"operand": 20,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: ×3 = 21; Step 2: +2 = 23; Step 3: -20 = 3; Step 4: -1 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 10. Follow the path: ×2 → ×4 → ×3 → ×4. What is the final value?",
"answer": "960",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "×",
"operand": 4,
"result": 80
},
{
"op": "×",
"operand": 3,
"result": 240
},
{
"op": "×",
"operand": 4,
"result": 960
}
],
"finalValue": 960,
"pathDescription": "Step 1: ×2 = 20; Step 2: ×4 = 80; Step 3: ×3 = 240; Step 4: ×4 = 960"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 1. Follow the path: ×3 → +8 → ×3 → +9. What is the final value?",
"answer": "42",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "+",
"operand": 8,
"result": 11
},
{
"op": "×",
"operand": 3,
"result": 33
},
{
"op": "+",
"operand": 9,
"result": 42
}
],
"finalValue": 42,
"pathDescription": "Step 1: ×3 = 3; Step 2: +8 = 11; Step 3: ×3 = 33; Step 4: +9 = 42"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 8. Follow the path: +2 → -6 → -3 → +1. What is the final value?",
"answer": "2",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 2,
"result": 10
},
{
"op": "-",
"operand": 6,
"result": 4
},
{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "+",
"operand": 1,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: +2 = 10; Step 2: -6 = 4; Step 3: -3 = 1; Step 4: +1 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "medium",
"question": "Math Maze: Start at 5. Follow the path: +7 → +4 → +3 → -9. What is the final value?",
"answer": "10",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 7,
"result": 12
},
{
"op": "+",
"operand": 4,
"result": 16
},
{
"op": "+",
"operand": 3,
"result": 19
},
{
"op": "-",
"operand": 9,
"result": 10
}
],
"finalValue": 10,
"pathDescription": "Step 1: +7 = 12; Step 2: +4 = 16; Step 3: +3 = 19; Step 4: -9 = 10"
}
],
"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 → -21 → ×3 → ×2. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → +5 → ×2 → -8. What is the final value?
- Math Maze: Start at 7. Follow the path: -3 → ×2 → +7 → -1. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → +2 → -20 → -1. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → ×4 → ×3 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: ×3 → +8 → ×3 → +9. What is the final value?
- Math Maze: Start at 8. Follow the path: +2 → -6 → -3 → +1. What is the final value?
- Math Maze: Start at 5. Follow the path: +7 → +4 → +3 → -9. What is the final value?
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