Workbook Detail
Math Maze Subtraction Hard — Set 41
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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 7. Follow the path: +2 → ×3 → -13 → ×3 → -16. What is the final value?",
"answer": "26",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 2,
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"result": 42
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{
"op": "-",
"operand": 16,
"result": 26
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"finalValue": 26,
"pathDescription": "Step 1: +2 = 9; Step 2: ×3 = 27; Step 3: -13 = 14; Step 4: ×3 = 42; Step 5: -16 = 26"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -1 → -3 → ×4 → -3 → -1. What is the final value?",
"answer": "0",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 1,
"result": 4
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{
"op": "-",
"operand": 3,
"result": 1
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{
"op": "×",
"operand": 4,
"result": 4
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"operand": 3,
"result": 1
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{
"op": "-",
"operand": 1,
"result": 0
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"finalValue": 0,
"pathDescription": "Step 1: -1 = 4; Step 2: -3 = 1; Step 3: ×4 = 4; Step 4: -3 = 1; Step 5: -1 = 0"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×3 → ×3 → -20 → +5 → +5. What is the final value?",
"answer": "26",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "-",
"operand": 20,
"result": 16
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{
"op": "+",
"operand": 5,
"result": 21
},
{
"op": "+",
"operand": 5,
"result": 26
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],
"finalValue": 26,
"pathDescription": "Step 1: ×3 = 12; Step 2: ×3 = 36; Step 3: -20 = 16; Step 4: +5 = 21; Step 5: +5 = 26"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -1 → +6 → -6 → ×3 → -2. What is the final value?",
"answer": "10",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 1,
"result": 4
},
{
"op": "+",
"operand": 6,
"result": 10
},
{
"op": "-",
"operand": 6,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "-",
"operand": 2,
"result": 10
}
],
"finalValue": 10,
"pathDescription": "Step 1: -1 = 4; Step 2: +6 = 10; Step 3: -6 = 4; Step 4: ×3 = 12; Step 5: -2 = 10"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → +7 → ×2 → ×2 → +3. What is the final value?",
"answer": "35",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "+",
"operand": 7,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
},
{
"op": "×",
"operand": 2,
"result": 32
},
{
"op": "+",
"operand": 3,
"result": 35
}
],
"finalValue": 35,
"pathDescription": "Step 1: -1 = 1; Step 2: +7 = 8; Step 3: ×2 = 16; Step 4: ×2 = 32; Step 5: +3 = 35"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +5 → -9 → +8 → ×4 → +4. What is the final value?",
"answer": "48",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 5,
"result": 12
},
{
"op": "-",
"operand": 9,
"result": 3
},
{
"op": "+",
"operand": 8,
"result": 11
},
{
"op": "×",
"operand": 4,
"result": 44
},
{
"op": "+",
"operand": 4,
"result": 48
}
],
"finalValue": 48,
"pathDescription": "Step 1: +5 = 12; Step 2: -9 = 3; Step 3: +8 = 11; Step 4: ×4 = 44; Step 5: +4 = 48"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: ×3 → +10 → -23 → -3 → ×2. What is the final value?",
"answer": "4",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "+",
"operand": 10,
"result": 28
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{
"op": "-",
"operand": 23,
"result": 5
},
{
"op": "-",
"operand": 3,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
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],
"finalValue": 4,
"pathDescription": "Step 1: ×3 = 18; Step 2: +10 = 28; Step 3: -23 = 5; Step 4: -3 = 2; Step 5: ×2 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +3 → +9 → +8 → +7 → -25. What is the final value?",
"answer": "3",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 3,
"result": 4
},
{
"op": "+",
"operand": 9,
"result": 13
},
{
"op": "+",
"operand": 8,
"result": 21
},
{
"op": "+",
"operand": 7,
"result": 28
},
{
"op": "-",
"operand": 25,
"result": 3
}
],
"finalValue": 3,
"pathDescription": "Step 1: +3 = 4; Step 2: +9 = 13; Step 3: +8 = 21; Step 4: +7 = 28; Step 5: -25 = 3"
}
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: +2 → ×3 → -13 → ×3 → -16. What is the final value?
- Math Maze: Start at 5. Follow the path: -1 → -3 → ×4 → -3 → -1. What is the final value?
- Math Maze: Start at 4. Follow the path: ×3 → ×3 → -20 → +5 → +5. What is the final value?
- Math Maze: Start at 5. Follow the path: -1 → +6 → -6 → ×3 → -2. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → +7 → ×2 → ×2 → +3. What is the final value?
- Math Maze: Start at 7. Follow the path: +5 → -9 → +8 → ×4 → +4. What is the final value?
- Math Maze: Start at 6. Follow the path: ×3 → +10 → -23 → -3 → ×2. What is the final value?
- Math Maze: Start at 1. Follow the path: +3 → +9 → +8 → +7 → -25. What is the final value?
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