Workbook Detail
Math Maze Multiplication Small Hard — Set 46
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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 7. Follow the path: +1 → ×4 → ×2 → ×3 → ×4. What is the final value?",
"answer": "768",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 1,
"result": 8
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{
"op": "×",
"operand": 4,
"result": 32
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{
"op": "×",
"operand": 2,
"result": 64
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{
"op": "×",
"operand": 3,
"result": 192
},
{
"op": "×",
"operand": 4,
"result": 768
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"finalValue": 768,
"pathDescription": "Step 1: +1 = 8; Step 2: ×4 = 32; Step 3: ×2 = 64; Step 4: ×3 = 192; Step 5: ×4 = 768"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +10 → ×2 → -8 → -7 → +4. What is the final value?",
"answer": "19",
"startValue": 5,
"steps": [
{
"op": "+",
"operand": 10,
"result": 15
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{
"op": "×",
"operand": 2,
"result": 30
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{
"op": "-",
"operand": 8,
"result": 22
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{
"op": "-",
"operand": 7,
"result": 15
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{
"op": "+",
"operand": 4,
"result": 19
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],
"finalValue": 19,
"pathDescription": "Step 1: +10 = 15; Step 2: ×2 = 30; Step 3: -8 = 22; Step 4: -7 = 15; Step 5: +4 = 19"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×2 → ×2 → ×3 → +9 → -26. What is the final value?",
"answer": "31",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
},
{
"op": "×",
"operand": 3,
"result": 48
},
{
"op": "+",
"operand": 9,
"result": 57
},
{
"op": "-",
"operand": 26,
"result": 31
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],
"finalValue": 31,
"pathDescription": "Step 1: ×2 = 8; Step 2: ×2 = 16; Step 3: ×3 = 48; Step 4: +9 = 57; Step 5: -26 = 31"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×3 → -11 → ×3 → ×3 → ×3. What is the final value?",
"answer": "108",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 3,
"result": 15
},
{
"op": "-",
"operand": 11,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "×",
"operand": 3,
"result": 108
}
],
"finalValue": 108,
"pathDescription": "Step 1: ×3 = 15; Step 2: -11 = 4; Step 3: ×3 = 12; Step 4: ×3 = 36; Step 5: ×3 = 108"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +6 → -2 → +10 → +5 → -19. What is the final value?",
"answer": "1",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 6,
"result": 7
},
{
"op": "-",
"operand": 2,
"result": 5
},
{
"op": "+",
"operand": 10,
"result": 15
},
{
"op": "+",
"operand": 5,
"result": 20
},
{
"op": "-",
"operand": 19,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +6 = 7; Step 2: -2 = 5; Step 3: +10 = 15; Step 4: +5 = 20; Step 5: -19 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +2 → -5 → +4 → -6 → -1. What is the final value?",
"answer": "1",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 2,
"result": 9
},
{
"op": "-",
"operand": 5,
"result": 4
},
{
"op": "+",
"operand": 4,
"result": 8
},
{
"op": "-",
"operand": 6,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
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],
"finalValue": 1,
"pathDescription": "Step 1: +2 = 9; Step 2: -5 = 4; Step 3: +4 = 8; Step 4: -6 = 2; Step 5: -1 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×3 → -7 → ×3 → -3 → +7. What is the final value?",
"answer": "28",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 3,
"result": 15
},
{
"op": "-",
"operand": 7,
"result": 8
},
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "-",
"operand": 3,
"result": 21
},
{
"op": "+",
"operand": 7,
"result": 28
}
],
"finalValue": 28,
"pathDescription": "Step 1: ×3 = 15; Step 2: -7 = 8; Step 3: ×3 = 24; Step 4: -3 = 21; Step 5: +7 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +2 → ×3 → -5 → -1 → ×2. What is the final value?",
"answer": "6",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 2,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "-",
"operand": 5,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "×",
"operand": 2,
"result": 6
}
],
"finalValue": 6,
"pathDescription": "Step 1: +2 = 3; Step 2: ×3 = 9; Step 3: -5 = 4; Step 4: -1 = 3; Step 5: ×2 = 6"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 7. Follow the path: +1 → ×4 → ×2 → ×3 → ×4. What is the final value?
- Math Maze: Start at 5. Follow the path: +10 → ×2 → -8 → -7 → +4. What is the final value?
- Math Maze: Start at 4. Follow the path: ×2 → ×2 → ×3 → +9 → -26. What is the final value?
- Math Maze: Start at 5. Follow the path: ×3 → -11 → ×3 → ×3 → ×3. What is the final value?
- Math Maze: Start at 1. Follow the path: +6 → -2 → +10 → +5 → -19. What is the final value?
- Math Maze: Start at 7. Follow the path: +2 → -5 → +4 → -6 → -1. What is the final value?
- Math Maze: Start at 5. Follow the path: ×3 → -7 → ×3 → -3 → +7. What is the final value?
- Math Maze: Start at 1. Follow the path: +2 → ×3 → -5 → -1 → ×2. What is the final value?
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