Workbook Detail
Math Maze Subtraction Hard — Set 50
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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 5. Follow the path: +3 → ×3 → ×4 → ×4 → -17. What is the final value?",
"answer": "367",
"startValue": 5,
"steps": [
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"op": "+",
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{
"op": "-",
"operand": 17,
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"pathDescription": "Step 1: +3 = 8; Step 2: ×3 = 24; Step 3: ×4 = 96; Step 4: ×4 = 384; Step 5: -17 = 367"
},
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"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -2 → ×4 → +8 → -4 → +2. What is the final value?",
"answer": "18",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 2,
"result": 3
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{
"op": "×",
"operand": 4,
"result": 12
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{
"op": "+",
"operand": 8,
"result": 20
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{
"op": "-",
"operand": 4,
"result": 16
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"op": "+",
"operand": 2,
"result": 18
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"finalValue": 18,
"pathDescription": "Step 1: -2 = 3; Step 2: ×4 = 12; Step 3: +8 = 20; Step 4: -4 = 16; Step 5: +2 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -2 → +5 → ×4 → -6 → ×4. What is the final value?",
"answer": "88",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 2,
"result": 2
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{
"op": "+",
"operand": 5,
"result": 7
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{
"op": "×",
"operand": 4,
"result": 28
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{
"op": "-",
"operand": 6,
"result": 22
},
{
"op": "×",
"operand": 4,
"result": 88
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],
"finalValue": 88,
"pathDescription": "Step 1: -2 = 2; Step 2: +5 = 7; Step 3: ×4 = 28; Step 4: -6 = 22; Step 5: ×4 = 88"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +8 → ×3 → ×4 → -101 → +5. What is the final value?",
"answer": "36",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 8,
"result": 11
},
{
"op": "×",
"operand": 3,
"result": 33
},
{
"op": "×",
"operand": 4,
"result": 132
},
{
"op": "-",
"operand": 101,
"result": 31
},
{
"op": "+",
"operand": 5,
"result": 36
}
],
"finalValue": 36,
"pathDescription": "Step 1: +8 = 11; Step 2: ×3 = 33; Step 3: ×4 = 132; Step 4: -101 = 31; Step 5: +5 = 36"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → ×3 → +3 → +7 → ×4. What is the final value?",
"answer": "52",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "+",
"operand": 3,
"result": 6
},
{
"op": "+",
"operand": 7,
"result": 13
},
{
"op": "×",
"operand": 4,
"result": 52
}
],
"finalValue": 52,
"pathDescription": "Step 1: -1 = 1; Step 2: ×3 = 3; Step 3: +3 = 6; Step 4: +7 = 13; Step 5: ×4 = 52"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +8 → ×2 → +9 → -22 → ×4. What is the final value?",
"answer": "52",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 8,
"result": 13
},
{
"op": "×",
"operand": 2,
"result": 26
},
{
"op": "+",
"operand": 9,
"result": 35
},
{
"op": "-",
"operand": 22,
"result": 13
},
{
"op": "×",
"operand": 4,
"result": 52
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],
"finalValue": 52,
"pathDescription": "Step 1: +8 = 13; Step 2: ×2 = 26; Step 3: +9 = 35; Step 4: -22 = 13; Step 5: ×4 = 52"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +1 → -1 → ×3 → ×3 → ×2. What is the final value?",
"answer": "18",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 1,
"result": 2
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{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "×",
"operand": 3,
"result": 3
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{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 2,
"result": 18
}
],
"finalValue": 18,
"pathDescription": "Step 1: +1 = 2; Step 2: -1 = 1; Step 3: ×3 = 3; Step 4: ×3 = 9; Step 5: ×2 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +10 → +6 → -6 → -7 → +9. What is the final value?",
"answer": "20",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 10,
"result": 18
},
{
"op": "+",
"operand": 6,
"result": 24
},
{
"op": "-",
"operand": 6,
"result": 18
},
{
"op": "-",
"operand": 7,
"result": 11
},
{
"op": "+",
"operand": 9,
"result": 20
}
],
"finalValue": 20,
"pathDescription": "Step 1: +10 = 18; Step 2: +6 = 24; Step 3: -6 = 18; Step 4: -7 = 11; Step 5: +9 = 20"
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}Teaching Notes
- Math Maze: Start at 5. Follow the path: +3 → ×3 → ×4 → ×4 → -17. What is the final value?
- Math Maze: Start at 5. Follow the path: -2 → ×4 → +8 → -4 → +2. What is the final value?
- Math Maze: Start at 4. Follow the path: -2 → +5 → ×4 → -6 → ×4. What is the final value?
- Math Maze: Start at 3. Follow the path: +8 → ×3 → ×4 → -101 → +5. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → ×3 → +3 → +7 → ×4. What is the final value?
- Math Maze: Start at 5. Follow the path: +8 → ×2 → +9 → -22 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: +1 → -1 → ×3 → ×3 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: +10 → +6 → -6 → -7 → +9. What is the final value?
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