Workbook Detail
Math Maze Multiplication Small Hard — Set 29
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"subject": "arithmetic",
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → -1 → +3 → -1 → ×4. What is the final value?",
"answer": "12",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
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{
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"operand": 4,
"result": 12
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"finalValue": 12,
"pathDescription": "Step 1: -1 = 2; Step 2: -1 = 1; Step 3: +3 = 4; Step 4: -1 = 3; Step 5: ×4 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×3 → +7 → +10 → -4 → ×2. What is the final value?",
"answer": "74",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 3,
"result": 24
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{
"op": "+",
"operand": 7,
"result": 31
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{
"op": "+",
"operand": 10,
"result": 41
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{
"op": "-",
"operand": 4,
"result": 37
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{
"op": "×",
"operand": 2,
"result": 74
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"finalValue": 74,
"pathDescription": "Step 1: ×3 = 24; Step 2: +7 = 31; Step 3: +10 = 41; Step 4: -4 = 37; Step 5: ×2 = 74"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +4 → ×4 → -20 → -14 → +9. What is the final value?",
"answer": "11",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 4,
"result": 9
},
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "-",
"operand": 20,
"result": 16
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{
"op": "-",
"operand": 14,
"result": 2
},
{
"op": "+",
"operand": 9,
"result": 11
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],
"finalValue": 11,
"pathDescription": "Step 1: +4 = 9; Step 2: ×4 = 36; Step 3: -20 = 16; Step 4: -14 = 2; Step 5: +9 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → ×3 → ×2 → ×2 → ×4. What is the final value?",
"answer": "96",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 2,
"result": 12
},
{
"op": "×",
"operand": 2,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
}
],
"finalValue": 96,
"pathDescription": "Step 1: -1 = 2; Step 2: ×3 = 6; Step 3: ×2 = 12; Step 4: ×2 = 24; Step 5: ×4 = 96"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×3 → -15 → +4 → +1 → ×3. What is the final value?",
"answer": "42",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 3,
"result": 24
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{
"op": "-",
"operand": 15,
"result": 9
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{
"op": "+",
"operand": 4,
"result": 13
},
{
"op": "+",
"operand": 1,
"result": 14
},
{
"op": "×",
"operand": 3,
"result": 42
}
],
"finalValue": 42,
"pathDescription": "Step 1: ×3 = 24; Step 2: -15 = 9; Step 3: +4 = 13; Step 4: +1 = 14; Step 5: ×3 = 42"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +1 → -7 → +9 → ×2 → -10. What is the final value?",
"answer": "14",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 1,
"result": 10
},
{
"op": "-",
"operand": 7,
"result": 3
},
{
"op": "+",
"operand": 9,
"result": 12
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{
"op": "×",
"operand": 2,
"result": 24
},
{
"op": "-",
"operand": 10,
"result": 14
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"finalValue": 14,
"pathDescription": "Step 1: +1 = 10; Step 2: -7 = 3; Step 3: +9 = 12; Step 4: ×2 = 24; Step 5: -10 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×3 → ×2 → -49 → +1 → ×3. What is the final value?",
"answer": "18",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "×",
"operand": 2,
"result": 54
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{
"op": "-",
"operand": 49,
"result": 5
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{
"op": "+",
"operand": 1,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
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],
"finalValue": 18,
"pathDescription": "Step 1: ×3 = 27; Step 2: ×2 = 54; Step 3: -49 = 5; Step 4: +1 = 6; Step 5: ×3 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → ×3 → -1 → ×3 → ×3. What is the final value?",
"answer": "-9",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "×",
"operand": 3,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
},
{
"op": "×",
"operand": 3,
"result": -3
},
{
"op": "×",
"operand": 3,
"result": -9
}
],
"finalValue": -9,
"pathDescription": "Step 1: -1 = 0; Step 2: ×3 = 0; Step 3: -1 = -1; Step 4: ×3 = -3; Step 5: ×3 = -9"
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}Teaching Notes
- Math Maze: Start at 3. Follow the path: -1 → -1 → +3 → -1 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×3 → +7 → +10 → -4 → ×2. What is the final value?
- Math Maze: Start at 5. Follow the path: +4 → ×4 → -20 → -14 → +9. What is the final value?
- Math Maze: Start at 3. Follow the path: -1 → ×3 → ×2 → ×2 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×3 → -15 → +4 → +1 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: +1 → -7 → +9 → ×2 → -10. What is the final value?
- Math Maze: Start at 9. Follow the path: ×3 → ×2 → -49 → +1 → ×3. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → ×3 → -1 → ×3 → ×3. What is the final value?
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