Workbook Detail
Math Maze Mixed Small Hard — Set 71
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{
"contentData": {
"operation": "math-maze",
"subject": "arithmetic",
"difficulty": "hard",
"config": {
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×2 → -1 → +2 → -1 → +9. What is the final value?",
"answer": "11",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 2,
"result": 2
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{
"op": "-",
"operand": 1,
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{
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"operand": 2,
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{
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"result": 2
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{
"op": "+",
"operand": 9,
"result": 11
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"finalValue": 11,
"pathDescription": "Step 1: ×2 = 2; Step 2: -1 = 1; Step 3: +2 = 3; Step 4: -1 = 2; Step 5: +9 = 11"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: +4 → -6 → -1 → +2 → +4. What is the final value?",
"answer": "9",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 4,
"result": 10
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{
"op": "-",
"operand": 6,
"result": 4
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{
"op": "-",
"operand": 1,
"result": 3
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{
"op": "+",
"operand": 2,
"result": 5
},
{
"op": "+",
"operand": 4,
"result": 9
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],
"finalValue": 9,
"pathDescription": "Step 1: +4 = 10; Step 2: -6 = 4; Step 3: -1 = 3; Step 4: +2 = 5; Step 5: +4 = 9"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×3 → -5 → +6 → +9 → -9. What is the final value?",
"answer": "25",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "-",
"operand": 5,
"result": 19
},
{
"op": "+",
"operand": 6,
"result": 25
},
{
"op": "+",
"operand": 9,
"result": 34
},
{
"op": "-",
"operand": 9,
"result": 25
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],
"finalValue": 25,
"pathDescription": "Step 1: ×3 = 24; Step 2: -5 = 19; Step 3: +6 = 25; Step 4: +9 = 34; Step 5: -9 = 25"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +9 → +6 → ×4 → ×2 → -192. What is the final value?",
"answer": "8",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 9,
"result": 19
},
{
"op": "+",
"operand": 6,
"result": 25
},
{
"op": "×",
"operand": 4,
"result": 100
},
{
"op": "×",
"operand": 2,
"result": 200
},
{
"op": "-",
"operand": 192,
"result": 8
}
],
"finalValue": 8,
"pathDescription": "Step 1: +9 = 19; Step 2: +6 = 25; Step 3: ×4 = 100; Step 4: ×2 = 200; Step 5: -192 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +1 → +10 → -4 → ×4 → ×2. What is the final value?",
"answer": "88",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 1,
"result": 5
},
{
"op": "+",
"operand": 10,
"result": 15
},
{
"op": "-",
"operand": 4,
"result": 11
},
{
"op": "×",
"operand": 4,
"result": 44
},
{
"op": "×",
"operand": 2,
"result": 88
}
],
"finalValue": 88,
"pathDescription": "Step 1: +1 = 5; Step 2: +10 = 15; Step 3: -4 = 11; Step 4: ×4 = 44; Step 5: ×2 = 88"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +1 → +1 → -1 → +2 → -1. What is the final value?",
"answer": "3",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 1,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 2,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
}
],
"finalValue": 3,
"pathDescription": "Step 1: +1 = 2; Step 2: +1 = 3; Step 3: -1 = 2; Step 4: +2 = 4; Step 5: -1 = 3"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -5 → +1 → ×4 → -2 → ×3. What is the final value?",
"answer": "18",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 5,
"result": 1
},
{
"op": "+",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "-",
"operand": 2,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
}
],
"finalValue": 18,
"pathDescription": "Step 1: -5 = 1; Step 2: +1 = 2; Step 3: ×4 = 8; Step 4: -2 = 6; Step 5: ×3 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +6 → ×3 → +7 → ×4 → ×3. What is the final value?",
"answer": "372",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 6,
"result": 8
},
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "+",
"operand": 7,
"result": 31
},
{
"op": "×",
"operand": 4,
"result": 124
},
{
"op": "×",
"operand": 3,
"result": 372
}
],
"finalValue": 372,
"pathDescription": "Step 1: +6 = 8; Step 2: ×3 = 24; Step 3: +7 = 31; Step 4: ×4 = 124; Step 5: ×3 = 372"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 1. Follow the path: ×2 → -1 → +2 → -1 → +9. What is the final value?
- Math Maze: Start at 6. Follow the path: +4 → -6 → -1 → +2 → +4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×3 → -5 → +6 → +9 → -9. What is the final value?
- Math Maze: Start at 10. Follow the path: +9 → +6 → ×4 → ×2 → -192. What is the final value?
- Math Maze: Start at 4. Follow the path: +1 → +10 → -4 → ×4 → ×2. What is the final value?
- Math Maze: Start at 1. Follow the path: +1 → +1 → -1 → +2 → -1. What is the final value?
- Math Maze: Start at 6. Follow the path: -5 → +1 → ×4 → -2 → ×3. What is the final value?
- Math Maze: Start at 2. Follow the path: +6 → ×3 → +7 → ×4 → ×3. What is the final value?
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