Workbook Detail
Math Maze Multiplication Small Hard — Set 87
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"subject": "arithmetic",
"difficulty": "hard",
"config": {
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +8 → +8 → ×4 → ×4 → ×4. What is the final value?",
"answer": "1280",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 8,
"result": 12
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{
"op": "+",
"operand": 8,
"result": 20
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{
"op": "×",
"operand": 4,
"result": 80
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{
"op": "×",
"operand": 4,
"result": 320
},
{
"op": "×",
"operand": 4,
"result": 1280
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"finalValue": 1280,
"pathDescription": "Step 1: +8 = 12; Step 2: +8 = 20; Step 3: ×4 = 80; Step 4: ×4 = 320; Step 5: ×4 = 1280"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +5 → -3 → -1 → +5 → +4. What is the final value?",
"answer": "11",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 5,
"result": 6
},
{
"op": "-",
"operand": 3,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
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{
"op": "+",
"operand": 5,
"result": 7
},
{
"op": "+",
"operand": 4,
"result": 11
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],
"finalValue": 11,
"pathDescription": "Step 1: +5 = 6; Step 2: -3 = 3; Step 3: -1 = 2; Step 4: +5 = 7; Step 5: +4 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +5 → -13 → -1 → ×2 → +5. What is the final value?",
"answer": "5",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 5,
"result": 14
},
{
"op": "-",
"operand": 13,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "×",
"operand": 2,
"result": 0
},
{
"op": "+",
"operand": 5,
"result": 5
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],
"finalValue": 5,
"pathDescription": "Step 1: +5 = 14; Step 2: -13 = 1; Step 3: -1 = 0; Step 4: ×2 = 0; Step 5: +5 = 5"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: +8 → +8 → ×3 → +1 → +1. What is the final value?",
"answer": "68",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 8,
"result": 14
},
{
"op": "+",
"operand": 8,
"result": 22
},
{
"op": "×",
"operand": 3,
"result": 66
},
{
"op": "+",
"operand": 1,
"result": 67
},
{
"op": "+",
"operand": 1,
"result": 68
}
],
"finalValue": 68,
"pathDescription": "Step 1: +8 = 14; Step 2: +8 = 22; Step 3: ×3 = 66; Step 4: +1 = 67; Step 5: +1 = 68"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -2 → -1 → +8 → +6 → -12. What is the final value?",
"answer": "2",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 8,
"result": 8
},
{
"op": "+",
"operand": 6,
"result": 14
},
{
"op": "-",
"operand": 12,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: -2 = 1; Step 2: -1 = 0; Step 3: +8 = 8; Step 4: +6 = 14; Step 5: -12 = 2"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×2 → -1 → ×2 → -12 → ×2. What is the final value?",
"answer": "28",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 2,
"result": 14
},
{
"op": "-",
"operand": 1,
"result": 13
},
{
"op": "×",
"operand": 2,
"result": 26
},
{
"op": "-",
"operand": 12,
"result": 14
},
{
"op": "×",
"operand": 2,
"result": 28
}
],
"finalValue": 28,
"pathDescription": "Step 1: ×2 = 14; Step 2: -1 = 13; Step 3: ×2 = 26; Step 4: -12 = 14; Step 5: ×2 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -1 → ×3 → ×3 → +7 → +6. What is the final value?",
"answer": "40",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "+",
"operand": 7,
"result": 34
},
{
"op": "+",
"operand": 6,
"result": 40
}
],
"finalValue": 40,
"pathDescription": "Step 1: -1 = 3; Step 2: ×3 = 9; Step 3: ×3 = 27; Step 4: +7 = 34; Step 5: +6 = 40"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +6 → -9 → +3 → -6 → +5. What is the final value?",
"answer": "9",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 6,
"result": 16
},
{
"op": "-",
"operand": 9,
"result": 7
},
{
"op": "+",
"operand": 3,
"result": 10
},
{
"op": "-",
"operand": 6,
"result": 4
},
{
"op": "+",
"operand": 5,
"result": 9
}
],
"finalValue": 9,
"pathDescription": "Step 1: +6 = 16; Step 2: -9 = 7; Step 3: +3 = 10; Step 4: -6 = 4; Step 5: +5 = 9"
}
],
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 4. Follow the path: +8 → +8 → ×4 → ×4 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: +5 → -3 → -1 → +5 → +4. What is the final value?
- Math Maze: Start at 9. Follow the path: +5 → -13 → -1 → ×2 → +5. What is the final value?
- Math Maze: Start at 6. Follow the path: +8 → +8 → ×3 → +1 → +1. What is the final value?
- Math Maze: Start at 3. Follow the path: -2 → -1 → +8 → +6 → -12. What is the final value?
- Math Maze: Start at 7. Follow the path: ×2 → -1 → ×2 → -12 → ×2. What is the final value?
- Math Maze: Start at 4. Follow the path: -1 → ×3 → ×3 → +7 → +6. What is the final value?
- Math Maze: Start at 10. Follow the path: +6 → -9 → +3 → -6 → +5. What is the final value?
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