Workbook Detail
Math Maze Multiplication Hard — Set 33
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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: +10 → ×2 → ×2 → -56 → ×4. What is the final value?",
"answer": "80",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 10,
"result": 19
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{
"op": "×",
"operand": 2,
"result": 38
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{
"op": "×",
"operand": 2,
"result": 76
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{
"op": "-",
"operand": 56,
"result": 20
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{
"op": "×",
"operand": 4,
"result": 80
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"finalValue": 80,
"pathDescription": "Step 1: +10 = 19; Step 2: ×2 = 38; Step 3: ×2 = 76; Step 4: -56 = 20; Step 5: ×4 = 80"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +6 → +7 → ×2 → +2 → +10. What is the final value?",
"answer": "48",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 6,
"result": 11
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{
"op": "+",
"operand": 7,
"result": 18
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{
"op": "×",
"operand": 2,
"result": 36
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{
"op": "+",
"operand": 2,
"result": 38
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{
"op": "+",
"operand": 10,
"result": 48
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],
"finalValue": 48,
"pathDescription": "Step 1: +6 = 11; Step 2: +7 = 18; Step 3: ×2 = 36; Step 4: +2 = 38; Step 5: +10 = 48"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: ×4 → +4 → -11 → +10 → +3. What is the final value?",
"answer": "18",
"startValue": 3,
"steps": [
{
"op": "×",
"operand": 4,
"result": 12
},
{
"op": "+",
"operand": 4,
"result": 16
},
{
"op": "-",
"operand": 11,
"result": 5
},
{
"op": "+",
"operand": 10,
"result": 15
},
{
"op": "+",
"operand": 3,
"result": 18
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],
"finalValue": 18,
"pathDescription": "Step 1: ×4 = 12; Step 2: +4 = 16; Step 3: -11 = 5; Step 4: +10 = 15; Step 5: +3 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +10 → -1 → +10 → +2 → ×3. What is the final value?",
"answer": "69",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 10,
"result": 12
},
{
"op": "-",
"operand": 1,
"result": 11
},
{
"op": "+",
"operand": 10,
"result": 21
},
{
"op": "+",
"operand": 2,
"result": 23
},
{
"op": "×",
"operand": 3,
"result": 69
}
],
"finalValue": 69,
"pathDescription": "Step 1: +10 = 12; Step 2: -1 = 11; Step 3: +10 = 21; Step 4: +2 = 23; Step 5: ×3 = 69"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +4 → ×3 → -18 → -5 → -11. What is the final value?",
"answer": "2",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 4,
"result": 12
},
{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "-",
"operand": 18,
"result": 18
},
{
"op": "-",
"operand": 5,
"result": 13
},
{
"op": "-",
"operand": 11,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: +4 = 12; Step 2: ×3 = 36; Step 3: -18 = 18; Step 4: -5 = 13; Step 5: -11 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: +3 → +5 → +10 → -14 → +10. What is the final value?",
"answer": "20",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 3,
"result": 9
},
{
"op": "+",
"operand": 5,
"result": 14
},
{
"op": "+",
"operand": 10,
"result": 24
},
{
"op": "-",
"operand": 14,
"result": 10
},
{
"op": "+",
"operand": 10,
"result": 20
}
],
"finalValue": 20,
"pathDescription": "Step 1: +3 = 9; Step 2: +5 = 14; Step 3: +10 = 24; Step 4: -14 = 10; Step 5: +10 = 20"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -7 → -1 → -1 → -1 → ×4. What is the final value?",
"answer": "-4",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 7,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
},
{
"op": "×",
"operand": 4,
"result": -4
}
],
"finalValue": -4,
"pathDescription": "Step 1: -7 = 2; Step 2: -1 = 1; Step 3: -1 = 0; Step 4: -1 = -1; Step 5: ×4 = -4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +3 → ×4 → +3 → -2 → ×3. What is the final value?",
"answer": "51",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 3,
"result": 4
},
{
"op": "×",
"operand": 4,
"result": 16
},
{
"op": "+",
"operand": 3,
"result": 19
},
{
"op": "-",
"operand": 2,
"result": 17
},
{
"op": "×",
"operand": 3,
"result": 51
}
],
"finalValue": 51,
"pathDescription": "Step 1: +3 = 4; Step 2: ×4 = 16; Step 3: +3 = 19; Step 4: -2 = 17; Step 5: ×3 = 51"
}
],
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 9. Follow the path: +10 → ×2 → ×2 → -56 → ×4. What is the final value?
- Math Maze: Start at 5. Follow the path: +6 → +7 → ×2 → +2 → +10. What is the final value?
- Math Maze: Start at 3. Follow the path: ×4 → +4 → -11 → +10 → +3. What is the final value?
- Math Maze: Start at 2. Follow the path: +10 → -1 → +10 → +2 → ×3. What is the final value?
- Math Maze: Start at 8. Follow the path: +4 → ×3 → -18 → -5 → -11. What is the final value?
- Math Maze: Start at 6. Follow the path: +3 → +5 → +10 → -14 → +10. What is the final value?
- Math Maze: Start at 9. Follow the path: -7 → -1 → -1 → -1 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: +3 → ×4 → +3 → -2 → ×3. What is the final value?
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