Workbook Detail
Math Maze Mixed Small Hard — Set 77
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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 7. Follow the path: ×3 → ×3 → ×4 → -210 → +3. What is the final value?",
"answer": "45",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
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{
"op": "×",
"operand": 3,
"result": 63
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{
"op": "×",
"operand": 4,
"result": 252
},
{
"op": "-",
"operand": 210,
"result": 42
},
{
"op": "+",
"operand": 3,
"result": 45
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],
"finalValue": 45,
"pathDescription": "Step 1: ×3 = 21; Step 2: ×3 = 63; Step 3: ×4 = 252; Step 4: -210 = 42; Step 5: +3 = 45"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +1 → +7 → +4 → -10 → ×4. What is the final value?",
"answer": "20",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 1,
"result": 4
},
{
"op": "+",
"operand": 7,
"result": 11
},
{
"op": "+",
"operand": 4,
"result": 15
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{
"op": "-",
"operand": 10,
"result": 5
},
{
"op": "×",
"operand": 4,
"result": 20
}
],
"finalValue": 20,
"pathDescription": "Step 1: +1 = 4; Step 2: +7 = 11; Step 3: +4 = 15; Step 4: -10 = 5; Step 5: ×4 = 20"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +2 → -3 → +10 → +5 → -15. What is the final value?",
"answer": "1",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 2,
"result": 4
},
{
"op": "-",
"operand": 3,
"result": 1
},
{
"op": "+",
"operand": 10,
"result": 11
},
{
"op": "+",
"operand": 5,
"result": 16
},
{
"op": "-",
"operand": 15,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +2 = 4; Step 2: -3 = 1; Step 3: +10 = 11; Step 4: +5 = 16; Step 5: -15 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +1 → +8 → +5 → +4 → +3. What is the final value?",
"answer": "28",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 1,
"result": 8
},
{
"op": "+",
"operand": 8,
"result": 16
},
{
"op": "+",
"operand": 5,
"result": 21
},
{
"op": "+",
"operand": 4,
"result": 25
},
{
"op": "+",
"operand": 3,
"result": 28
}
],
"finalValue": 28,
"pathDescription": "Step 1: +1 = 8; Step 2: +8 = 16; Step 3: +5 = 21; Step 4: +4 = 25; Step 5: +3 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +10 → +5 → +1 → ×3 → +9. What is the final value?",
"answer": "60",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 10,
"result": 11
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{
"op": "+",
"operand": 5,
"result": 16
},
{
"op": "+",
"operand": 1,
"result": 17
},
{
"op": "×",
"operand": 3,
"result": 51
},
{
"op": "+",
"operand": 9,
"result": 60
}
],
"finalValue": 60,
"pathDescription": "Step 1: +10 = 11; Step 2: +5 = 16; Step 3: +1 = 17; Step 4: ×3 = 51; Step 5: +9 = 60"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×4 → -22 → -12 → ×3 → ×4. What is the final value?",
"answer": "24",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "-",
"operand": 22,
"result": 14
},
{
"op": "-",
"operand": 12,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
}
],
"finalValue": 24,
"pathDescription": "Step 1: ×4 = 36; Step 2: -22 = 14; Step 3: -12 = 2; Step 4: ×3 = 6; Step 5: ×4 = 24"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +4 → -9 → +4 → ×4 → ×4. What is the final value?",
"answer": "96",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 4,
"result": 11
},
{
"op": "-",
"operand": 9,
"result": 2
},
{
"op": "+",
"operand": 4,
"result": 6
},
{
"op": "×",
"operand": 4,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
}
],
"finalValue": 96,
"pathDescription": "Step 1: +4 = 11; Step 2: -9 = 2; Step 3: +4 = 6; Step 4: ×4 = 24; Step 5: ×4 = 96"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -1 → +3 → ×3 → ×2 → -17. What is the final value?",
"answer": "19",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "+",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "×",
"operand": 2,
"result": 36
},
{
"op": "-",
"operand": 17,
"result": 19
}
],
"finalValue": 19,
"pathDescription": "Step 1: -1 = 3; Step 2: +3 = 6; Step 3: ×3 = 18; Step 4: ×2 = 36; Step 5: -17 = 19"
}
],
"layout": {
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 7. Follow the path: ×3 → ×3 → ×4 → -210 → +3. What is the final value?
- Math Maze: Start at 3. Follow the path: +1 → +7 → +4 → -10 → ×4. What is the final value?
- Math Maze: Start at 2. Follow the path: +2 → -3 → +10 → +5 → -15. What is the final value?
- Math Maze: Start at 7. Follow the path: +1 → +8 → +5 → +4 → +3. What is the final value?
- Math Maze: Start at 1. Follow the path: +10 → +5 → +1 → ×3 → +9. What is the final value?
- Math Maze: Start at 9. Follow the path: ×4 → -22 → -12 → ×3 → ×4. What is the final value?
- Math Maze: Start at 7. Follow the path: +4 → -9 → +4 → ×4 → ×4. What is the final value?
- Math Maze: Start at 4. Follow the path: -1 → +3 → ×3 → ×2 → -17. What is the final value?
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