Workbook Detail
Math Maze Mixed Small Hard — Set 97
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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 9. Follow the path: -5 → ×3 → ×2 → -7 → +1. What is the final value?",
"answer": "18",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 5,
"result": 4
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{
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"operand": 3,
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{
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"operand": 2,
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{
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"operand": 7,
"result": 17
},
{
"op": "+",
"operand": 1,
"result": 18
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],
"finalValue": 18,
"pathDescription": "Step 1: -5 = 4; Step 2: ×3 = 12; Step 3: ×2 = 24; Step 4: -7 = 17; Step 5: +1 = 18"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: -1 → ×2 → ×3 → +2 → ×4. What is the final value?",
"answer": "32",
"startValue": 2,
"steps": [
{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "×",
"operand": 2,
"result": 2
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{
"op": "×",
"operand": 3,
"result": 6
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{
"op": "+",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 4,
"result": 32
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],
"finalValue": 32,
"pathDescription": "Step 1: -1 = 1; Step 2: ×2 = 2; Step 3: ×3 = 6; Step 4: +2 = 8; Step 5: ×4 = 32"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×4 → +1 → -5 → +1 → -17. What is the final value?",
"answer": "12",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "+",
"operand": 1,
"result": 33
},
{
"op": "-",
"operand": 5,
"result": 28
},
{
"op": "+",
"operand": 1,
"result": 29
},
{
"op": "-",
"operand": 17,
"result": 12
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],
"finalValue": 12,
"pathDescription": "Step 1: ×4 = 32; Step 2: +1 = 33; Step 3: -5 = 28; Step 4: +1 = 29; Step 5: -17 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +6 → -5 → +2 → ×2 → ×2. What is the final value?",
"answer": "40",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 6,
"result": 13
},
{
"op": "-",
"operand": 5,
"result": 8
},
{
"op": "+",
"operand": 2,
"result": 10
},
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "×",
"operand": 2,
"result": 40
}
],
"finalValue": 40,
"pathDescription": "Step 1: +6 = 13; Step 2: -5 = 8; Step 3: +2 = 10; Step 4: ×2 = 20; Step 5: ×2 = 40"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +6 → -10 → -3 → +9 → +9. What is the final value?",
"answer": "19",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 6,
"result": 14
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{
"op": "-",
"operand": 10,
"result": 4
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{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "+",
"operand": 9,
"result": 10
},
{
"op": "+",
"operand": 9,
"result": 19
}
],
"finalValue": 19,
"pathDescription": "Step 1: +6 = 14; Step 2: -10 = 4; Step 3: -3 = 1; Step 4: +9 = 10; Step 5: +9 = 19"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -2 → ×4 → -4 → -1 → +2. What is the final value?",
"answer": "5",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 2,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "-",
"operand": 4,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "+",
"operand": 2,
"result": 5
}
],
"finalValue": 5,
"pathDescription": "Step 1: -2 = 2; Step 2: ×4 = 8; Step 3: -4 = 4; Step 4: -1 = 3; Step 5: +2 = 5"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: +2 → -4 → +2 → -1 → ×4. What is the final value?",
"answer": "12",
"startValue": 4,
"steps": [
{
"op": "+",
"operand": 2,
"result": 6
},
{
"op": "-",
"operand": 4,
"result": 2
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{
"op": "+",
"operand": 2,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "×",
"operand": 4,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: +2 = 6; Step 2: -4 = 2; Step 3: +2 = 4; Step 4: -1 = 3; Step 5: ×4 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×3 → -10 → -1 → +5 → ×4. What is the final value?",
"answer": "24",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "-",
"operand": 10,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "+",
"operand": 5,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
}
],
"finalValue": 24,
"pathDescription": "Step 1: ×3 = 12; Step 2: -10 = 2; Step 3: -1 = 1; Step 4: +5 = 6; Step 5: ×4 = 24"
}
],
"layout": {
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 9. Follow the path: -5 → ×3 → ×2 → -7 → +1. What is the final value?
- Math Maze: Start at 2. Follow the path: -1 → ×2 → ×3 → +2 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×4 → +1 → -5 → +1 → -17. What is the final value?
- Math Maze: Start at 7. Follow the path: +6 → -5 → +2 → ×2 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: +6 → -10 → -3 → +9 → +9. What is the final value?
- Math Maze: Start at 4. Follow the path: -2 → ×4 → -4 → -1 → +2. What is the final value?
- Math Maze: Start at 4. Follow the path: +2 → -4 → +2 → -1 → ×4. What is the final value?
- Math Maze: Start at 4. Follow the path: ×3 → -10 → -1 → +5 → ×4. What is the final value?
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