Workbook Detail
Math Maze Multiplication Small Hard — Set 32
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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 6. Follow the path: ×4 → ×3 → -64 → ×3 → +2. What is the final value?",
"answer": "26",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 4,
"result": 24
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{
"op": "×",
"operand": 3,
"result": 72
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{
"op": "-",
"operand": 64,
"result": 8
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"operand": 3,
"result": 24
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{
"op": "+",
"operand": 2,
"result": 26
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"finalValue": 26,
"pathDescription": "Step 1: ×4 = 24; Step 2: ×3 = 72; Step 3: -64 = 8; Step 4: ×3 = 24; Step 5: +2 = 26"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×3 → +7 → +4 → +10 → ×3. What is the final value?",
"answer": "108",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 3,
"result": 15
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{
"op": "+",
"operand": 7,
"result": 22
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{
"op": "+",
"operand": 4,
"result": 26
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{
"op": "+",
"operand": 10,
"result": 36
},
{
"op": "×",
"operand": 3,
"result": 108
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],
"finalValue": 108,
"pathDescription": "Step 1: ×3 = 15; Step 2: +7 = 22; Step 3: +4 = 26; Step 4: +10 = 36; Step 5: ×3 = 108"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -6 → ×3 → +2 → -2 → -7. What is the final value?",
"answer": "2",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 6,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "+",
"operand": 2,
"result": 11
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{
"op": "-",
"operand": 2,
"result": 9
},
{
"op": "-",
"operand": 7,
"result": 2
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],
"finalValue": 2,
"pathDescription": "Step 1: -6 = 3; Step 2: ×3 = 9; Step 3: +2 = 11; Step 4: -2 = 9; Step 5: -7 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +4 → -5 → +9 → +5 → ×4. What is the final value?",
"answer": "92",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 4,
"result": 14
},
{
"op": "-",
"operand": 5,
"result": 9
},
{
"op": "+",
"operand": 9,
"result": 18
},
{
"op": "+",
"operand": 5,
"result": 23
},
{
"op": "×",
"operand": 4,
"result": 92
}
],
"finalValue": 92,
"pathDescription": "Step 1: +4 = 14; Step 2: -5 = 9; Step 3: +9 = 18; Step 4: +5 = 23; Step 5: ×4 = 92"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -6 → -1 → +10 → -1 → ×3. What is the final value?",
"answer": "27",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 6,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "+",
"operand": 10,
"result": 10
},
{
"op": "-",
"operand": 1,
"result": 9
},
{
"op": "×",
"operand": 3,
"result": 27
}
],
"finalValue": 27,
"pathDescription": "Step 1: -6 = 1; Step 2: -1 = 0; Step 3: +10 = 10; Step 4: -1 = 9; Step 5: ×3 = 27"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +5 → +4 → ×4 → +9 → -24. What is the final value?",
"answer": "49",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 5,
"result": 12
},
{
"op": "+",
"operand": 4,
"result": 16
},
{
"op": "×",
"operand": 4,
"result": 64
},
{
"op": "+",
"operand": 9,
"result": 73
},
{
"op": "-",
"operand": 24,
"result": 49
}
],
"finalValue": 49,
"pathDescription": "Step 1: +5 = 12; Step 2: +4 = 16; Step 3: ×4 = 64; Step 4: +9 = 73; Step 5: -24 = 49"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +3 → -3 → ×4 → -9 → +8. What is the final value?",
"answer": "19",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 3,
"result": 8
},
{
"op": "-",
"operand": 3,
"result": 5
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{
"op": "×",
"operand": 4,
"result": 20
},
{
"op": "-",
"operand": 9,
"result": 11
},
{
"op": "+",
"operand": 8,
"result": 19
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],
"finalValue": 19,
"pathDescription": "Step 1: +3 = 8; Step 2: -3 = 5; Step 3: ×4 = 20; Step 4: -9 = 11; Step 5: +8 = 19"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -3 → -3 → ×2 → ×3 → +9. What is the final value?",
"answer": "27",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 3,
"result": 3
},
{
"op": "×",
"operand": 2,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "+",
"operand": 9,
"result": 27
}
],
"finalValue": 27,
"pathDescription": "Step 1: -3 = 6; Step 2: -3 = 3; Step 3: ×2 = 6; Step 4: ×3 = 18; Step 5: +9 = 27"
}
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 6. Follow the path: ×4 → ×3 → -64 → ×3 → +2. What is the final value?
- Math Maze: Start at 5. Follow the path: ×3 → +7 → +4 → +10 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: -6 → ×3 → +2 → -2 → -7. What is the final value?
- Math Maze: Start at 10. Follow the path: +4 → -5 → +9 → +5 → ×4. What is the final value?
- Math Maze: Start at 7. Follow the path: -6 → -1 → +10 → -1 → ×3. What is the final value?
- Math Maze: Start at 7. Follow the path: +5 → +4 → ×4 → +9 → -24. What is the final value?
- Math Maze: Start at 5. Follow the path: +3 → -3 → ×4 → -9 → +8. What is the final value?
- Math Maze: Start at 9. Follow the path: -3 → -3 → ×2 → ×3 → +9. What is the final value?
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