Workbook Detail
Math Maze Multiplication Small Hard — Set 34
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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 9. Follow the path: +3 → ×3 → +3 → ×3 → +3. What is the final value?",
"answer": "120",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 3,
"result": 12
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{
"op": "×",
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"result": 36
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{
"op": "+",
"operand": 3,
"result": 39
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{
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"operand": 3,
"result": 117
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{
"op": "+",
"operand": 3,
"result": 120
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"pathDescription": "Step 1: +3 = 12; Step 2: ×3 = 36; Step 3: +3 = 39; Step 4: ×3 = 117; Step 5: +3 = 120"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×3 → -17 → +1 → +6 → +4. What is the final value?",
"answer": "15",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
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{
"op": "-",
"operand": 17,
"result": 4
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{
"op": "+",
"operand": 1,
"result": 5
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{
"op": "+",
"operand": 6,
"result": 11
},
{
"op": "+",
"operand": 4,
"result": 15
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"finalValue": 15,
"pathDescription": "Step 1: ×3 = 21; Step 2: -17 = 4; Step 3: +1 = 5; Step 4: +6 = 11; Step 5: +4 = 15"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×4 → +6 → +10 → +5 → +3. What is the final value?",
"answer": "52",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 4,
"result": 28
},
{
"op": "+",
"operand": 6,
"result": 34
},
{
"op": "+",
"operand": 10,
"result": 44
},
{
"op": "+",
"operand": 5,
"result": 49
},
{
"op": "+",
"operand": 3,
"result": 52
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],
"finalValue": 52,
"pathDescription": "Step 1: ×4 = 28; Step 2: +6 = 34; Step 3: +10 = 44; Step 4: +5 = 49; Step 5: +3 = 52"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +2 → +7 → ×4 → -10 → +7. What is the final value?",
"answer": "61",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 2,
"result": 9
},
{
"op": "+",
"operand": 7,
"result": 16
},
{
"op": "×",
"operand": 4,
"result": 64
},
{
"op": "-",
"operand": 10,
"result": 54
},
{
"op": "+",
"operand": 7,
"result": 61
}
],
"finalValue": 61,
"pathDescription": "Step 1: +2 = 9; Step 2: +7 = 16; Step 3: ×4 = 64; Step 4: -10 = 54; Step 5: +7 = 61"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +6 → ×3 → +3 → +10 → -5. What is the final value?",
"answer": "50",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 6,
"result": 14
},
{
"op": "×",
"operand": 3,
"result": 42
},
{
"op": "+",
"operand": 3,
"result": 45
},
{
"op": "+",
"operand": 10,
"result": 55
},
{
"op": "-",
"operand": 5,
"result": 50
}
],
"finalValue": 50,
"pathDescription": "Step 1: +6 = 14; Step 2: ×3 = 42; Step 3: +3 = 45; Step 4: +10 = 55; Step 5: -5 = 50"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -1 → ×2 → ×3 → +4 → +8. What is the final value?",
"answer": "36",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 1,
"result": 4
},
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "+",
"operand": 4,
"result": 28
},
{
"op": "+",
"operand": 8,
"result": 36
}
],
"finalValue": 36,
"pathDescription": "Step 1: -1 = 4; Step 2: ×2 = 8; Step 3: ×3 = 24; Step 4: +4 = 28; Step 5: +8 = 36"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -5 → -1 → ×3 → ×3 → -1. What is the final value?",
"answer": "-1",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 5,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "×",
"operand": 3,
"result": 0
},
{
"op": "×",
"operand": 3,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
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],
"finalValue": -1,
"pathDescription": "Step 1: -5 = 1; Step 2: -1 = 0; Step 3: ×3 = 0; Step 4: ×3 = 0; Step 5: -1 = -1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×4 → -23 → ×2 → -4 → -10. What is the final value?",
"answer": "4",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "-",
"operand": 23,
"result": 9
},
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "-",
"operand": 4,
"result": 14
},
{
"op": "-",
"operand": 10,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: ×4 = 32; Step 2: -23 = 9; Step 3: ×2 = 18; Step 4: -4 = 14; Step 5: -10 = 4"
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}Teaching Notes
- Math Maze: Start at 9. Follow the path: +3 → ×3 → +3 → ×3 → +3. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → -17 → +1 → +6 → +4. What is the final value?
- Math Maze: Start at 7. Follow the path: ×4 → +6 → +10 → +5 → +3. What is the final value?
- Math Maze: Start at 7. Follow the path: +2 → +7 → ×4 → -10 → +7. What is the final value?
- Math Maze: Start at 8. Follow the path: +6 → ×3 → +3 → +10 → -5. What is the final value?
- Math Maze: Start at 5. Follow the path: -1 → ×2 → ×3 → +4 → +8. What is the final value?
- Math Maze: Start at 6. Follow the path: -5 → -1 → ×3 → ×3 → -1. What is the final value?
- Math Maze: Start at 8. Follow the path: ×4 → -23 → ×2 → -4 → -10. What is the final value?
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