Workbook Detail
Math Maze Subtraction Hard — Set 85
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"subject": "arithmetic",
"difficulty": "hard",
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -7 → ×4 → -2 → ×2 → ×4. What is the final value?",
"answer": "16",
"startValue": 8,
"steps": [
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"op": "-",
"operand": 7,
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"result": 16
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"pathDescription": "Step 1: -7 = 1; Step 2: ×4 = 4; Step 3: -2 = 2; Step 4: ×2 = 4; Step 5: ×4 = 16"
},
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +10 → ×2 → -27 → ×3 → -19. What is the final value?",
"answer": "2",
"startValue": 7,
"steps": [
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"op": "+",
"operand": 10,
"result": 17
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{
"op": "×",
"operand": 2,
"result": 34
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{
"op": "-",
"operand": 27,
"result": 7
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{
"op": "×",
"operand": 3,
"result": 21
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{
"op": "-",
"operand": 19,
"result": 2
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"finalValue": 2,
"pathDescription": "Step 1: +10 = 17; Step 2: ×2 = 34; Step 3: -27 = 7; Step 4: ×3 = 21; Step 5: -19 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×2 → -3 → -1 → ×4 → +9. What is the final value?",
"answer": "73",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "-",
"operand": 3,
"result": 17
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{
"op": "-",
"operand": 1,
"result": 16
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{
"op": "×",
"operand": 4,
"result": 64
},
{
"op": "+",
"operand": 9,
"result": 73
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],
"finalValue": 73,
"pathDescription": "Step 1: ×2 = 20; Step 2: -3 = 17; Step 3: -1 = 16; Step 4: ×4 = 64; Step 5: +9 = 73"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → +2 → -1 → -1 → +1. What is the final value?",
"answer": "1",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 2,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 1,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: -1 = 0; Step 2: +2 = 2; Step 3: -1 = 1; Step 4: -1 = 0; Step 5: +1 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -3 → ×3 → +7 → ×4 → -30. What is the final value?",
"answer": "70",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "+",
"operand": 7,
"result": 25
},
{
"op": "×",
"operand": 4,
"result": 100
},
{
"op": "-",
"operand": 30,
"result": 70
}
],
"finalValue": 70,
"pathDescription": "Step 1: -3 = 6; Step 2: ×3 = 18; Step 3: +7 = 25; Step 4: ×4 = 100; Step 5: -30 = 70"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +1 → +7 → -8 → +2 → -2. What is the final value?",
"answer": "1",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 7,
"result": 9
},
{
"op": "-",
"operand": 8,
"result": 1
},
{
"op": "+",
"operand": 2,
"result": 3
},
{
"op": "-",
"operand": 2,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +1 = 2; Step 2: +7 = 9; Step 3: -8 = 1; Step 4: +2 = 3; Step 5: -2 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +5 → ×2 → +8 → -17 → ×2. What is the final value?",
"answer": "38",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 5,
"result": 14
},
{
"op": "×",
"operand": 2,
"result": 28
},
{
"op": "+",
"operand": 8,
"result": 36
},
{
"op": "-",
"operand": 17,
"result": 19
},
{
"op": "×",
"operand": 2,
"result": 38
}
],
"finalValue": 38,
"pathDescription": "Step 1: +5 = 14; Step 2: ×2 = 28; Step 3: +8 = 36; Step 4: -17 = 19; Step 5: ×2 = 38"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +2 → -8 → ×3 → +1 → ×4. What is the final value?",
"answer": "40",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 2,
"result": 11
},
{
"op": "-",
"operand": 8,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "+",
"operand": 1,
"result": 10
},
{
"op": "×",
"operand": 4,
"result": 40
}
],
"finalValue": 40,
"pathDescription": "Step 1: +2 = 11; Step 2: -8 = 3; Step 3: ×3 = 9; Step 4: +1 = 10; Step 5: ×4 = 40"
}
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}Teaching Notes
- Math Maze: Start at 8. Follow the path: -7 → ×4 → -2 → ×2 → ×4. What is the final value?
- Math Maze: Start at 7. Follow the path: +10 → ×2 → -27 → ×3 → -19. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → -3 → -1 → ×4 → +9. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → +2 → -1 → -1 → +1. What is the final value?
- Math Maze: Start at 9. Follow the path: -3 → ×3 → +7 → ×4 → -30. What is the final value?
- Math Maze: Start at 1. Follow the path: +1 → +7 → -8 → +2 → -2. What is the final value?
- Math Maze: Start at 9. Follow the path: +5 → ×2 → +8 → -17 → ×2. What is the final value?
- Math Maze: Start at 9. Follow the path: +2 → -8 → ×3 → +1 → ×4. What is the final value?
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