Workbook Detail
Math Maze Multiplication Small Hard — Set 66
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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: ×3 → -16 → +7 → -10 → ×4. What is the final value?",
"answer": "8",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
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{
"op": "-",
"operand": 16,
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"operand": 7,
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"op": "×",
"operand": 4,
"result": 8
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"finalValue": 8,
"pathDescription": "Step 1: ×3 = 21; Step 2: -16 = 5; Step 3: +7 = 12; Step 4: -10 = 2; Step 5: ×4 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -6 → -1 → +2 → ×4 → +1. What is the final value?",
"answer": "13",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 6,
"result": 2
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{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "+",
"operand": 2,
"result": 3
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"operand": 4,
"result": 12
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"op": "+",
"operand": 1,
"result": 13
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"finalValue": 13,
"pathDescription": "Step 1: -6 = 2; Step 2: -1 = 1; Step 3: +2 = 3; Step 4: ×4 = 12; Step 5: +1 = 13"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → -1 → +1 → +2 → ×2. What is the final value?",
"answer": "4",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
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{
"op": "+",
"operand": 1,
"result": 0
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{
"op": "+",
"operand": 2,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
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],
"finalValue": 4,
"pathDescription": "Step 1: -1 = 0; Step 2: -1 = -1; Step 3: +1 = 0; Step 4: +2 = 2; Step 5: ×2 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → +8 → ×4 → +9 → ×2. What is the final value?",
"answer": "90",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "+",
"operand": 8,
"result": 9
},
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "+",
"operand": 9,
"result": 45
},
{
"op": "×",
"operand": 2,
"result": 90
}
],
"finalValue": 90,
"pathDescription": "Step 1: -1 = 1; Step 2: +8 = 9; Step 3: ×4 = 36; Step 4: +9 = 45; Step 5: ×2 = 90"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×2 → +2 → -11 → -5 → ×3. What is the final value?",
"answer": "6",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 2,
"result": 16
},
{
"op": "+",
"operand": 2,
"result": 18
},
{
"op": "-",
"operand": 11,
"result": 7
},
{
"op": "-",
"operand": 5,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
}
],
"finalValue": 6,
"pathDescription": "Step 1: ×2 = 16; Step 2: +2 = 18; Step 3: -11 = 7; Step 4: -5 = 2; Step 5: ×3 = 6"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +8 → -8 → -1 → ×4 → +3. What is the final value?",
"answer": "11",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 8,
"result": 11
},
{
"op": "-",
"operand": 8,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "+",
"operand": 3,
"result": 11
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],
"finalValue": 11,
"pathDescription": "Step 1: +8 = 11; Step 2: -8 = 3; Step 3: -1 = 2; Step 4: ×4 = 8; Step 5: +3 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -4 → -1 → +1 → ×3 → ×3. What is the final value?",
"answer": "18",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 4,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "+",
"operand": 1,
"result": 2
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{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
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],
"finalValue": 18,
"pathDescription": "Step 1: -4 = 2; Step 2: -1 = 1; Step 3: +1 = 2; Step 4: ×3 = 6; Step 5: ×3 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → +10 → -3 → ×4 → +7. What is the final value?",
"answer": "39",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "+",
"operand": 10,
"result": 11
},
{
"op": "-",
"operand": 3,
"result": 8
},
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "+",
"operand": 7,
"result": 39
}
],
"finalValue": 39,
"pathDescription": "Step 1: -1 = 1; Step 2: +10 = 11; Step 3: -3 = 8; Step 4: ×4 = 32; Step 5: +7 = 39"
}
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: ×3 → -16 → +7 → -10 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: -6 → -1 → +2 → ×4 → +1. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → -1 → +1 → +2 → ×2. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → +8 → ×4 → +9 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: ×2 → +2 → -11 → -5 → ×3. What is the final value?
- Math Maze: Start at 3. Follow the path: +8 → -8 → -1 → ×4 → +3. What is the final value?
- Math Maze: Start at 6. Follow the path: -4 → -1 → +1 → ×3 → ×3. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → +10 → -3 → ×4 → +7. What is the final value?
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