Workbook Detail
Math Maze Division Small Hard — Set 68
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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 6. Follow the path: +3 → +2 → ×3 → +7 → ×4. What is the final value?",
"answer": "160",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 3,
"result": 9
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{
"op": "+",
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"result": 40
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{
"op": "×",
"operand": 4,
"result": 160
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"finalValue": 160,
"pathDescription": "Step 1: +3 = 9; Step 2: +2 = 11; Step 3: ×3 = 33; Step 4: +7 = 40; Step 5: ×4 = 160"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -8 → ×4 → -3 → -1 → +9. What is the final value?",
"answer": "9",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 8,
"result": 1
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{
"op": "×",
"operand": 4,
"result": 4
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{
"op": "-",
"operand": 3,
"result": 1
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{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "+",
"operand": 9,
"result": 9
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],
"finalValue": 9,
"pathDescription": "Step 1: -8 = 1; Step 2: ×4 = 4; Step 3: -3 = 1; Step 4: -1 = 0; Step 5: +9 = 9"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -8 → +4 → +4 → +9 → +7. What is the final value?",
"answer": "26",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 8,
"result": 2
},
{
"op": "+",
"operand": 4,
"result": 6
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{
"op": "+",
"operand": 4,
"result": 10
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{
"op": "+",
"operand": 9,
"result": 19
},
{
"op": "+",
"operand": 7,
"result": 26
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],
"finalValue": 26,
"pathDescription": "Step 1: -8 = 2; Step 2: +4 = 6; Step 3: +4 = 10; Step 4: +9 = 19; Step 5: +7 = 26"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×2 → ×3 → ×3 → +4 → ×4. What is the final value?",
"answer": "304",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 3,
"result": 24
},
{
"op": "×",
"operand": 3,
"result": 72
},
{
"op": "+",
"operand": 4,
"result": 76
},
{
"op": "×",
"operand": 4,
"result": 304
}
],
"finalValue": 304,
"pathDescription": "Step 1: ×2 = 8; Step 2: ×3 = 24; Step 3: ×3 = 72; Step 4: +4 = 76; Step 5: ×4 = 304"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +6 → +2 → +6 → -19 → +6. What is the final value?",
"answer": "8",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 6,
"result": 13
},
{
"op": "+",
"operand": 2,
"result": 15
},
{
"op": "+",
"operand": 6,
"result": 21
},
{
"op": "-",
"operand": 19,
"result": 2
},
{
"op": "+",
"operand": 6,
"result": 8
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],
"finalValue": 8,
"pathDescription": "Step 1: +6 = 13; Step 2: +2 = 15; Step 3: +6 = 21; Step 4: -19 = 2; Step 5: +6 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +3 → ×2 → ×2 → ×2 → -31. What is the final value?",
"answer": "1",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 3,
"result": 4
},
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
},
{
"op": "×",
"operand": 2,
"result": 32
},
{
"op": "-",
"operand": 31,
"result": 1
}
],
"finalValue": 1,
"pathDescription": "Step 1: +3 = 4; Step 2: ×2 = 8; Step 3: ×2 = 16; Step 4: ×2 = 32; Step 5: -31 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×3 → ×2 → +1 → +3 → +9. What is the final value?",
"answer": "55",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 3,
"result": 21
},
{
"op": "×",
"operand": 2,
"result": 42
},
{
"op": "+",
"operand": 1,
"result": 43
},
{
"op": "+",
"operand": 3,
"result": 46
},
{
"op": "+",
"operand": 9,
"result": 55
}
],
"finalValue": 55,
"pathDescription": "Step 1: ×3 = 21; Step 2: ×2 = 42; Step 3: +1 = 43; Step 4: +3 = 46; Step 5: +9 = 55"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +8 → ×4 → -26 → -9 → ×4. What is the final value?",
"answer": "4",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 8,
"result": 9
},
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "-",
"operand": 26,
"result": 10
},
{
"op": "-",
"operand": 9,
"result": 1
},
{
"op": "×",
"operand": 4,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: +8 = 9; Step 2: ×4 = 36; Step 3: -26 = 10; Step 4: -9 = 1; Step 5: ×4 = 4"
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"_archetype": "form-exercise",
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}Teaching Notes
- Math Maze: Start at 6. Follow the path: +3 → +2 → ×3 → +7 → ×4. What is the final value?
- Math Maze: Start at 9. Follow the path: -8 → ×4 → -3 → -1 → +9. What is the final value?
- Math Maze: Start at 10. Follow the path: -8 → +4 → +4 → +9 → +7. What is the final value?
- Math Maze: Start at 4. Follow the path: ×2 → ×3 → ×3 → +4 → ×4. What is the final value?
- Math Maze: Start at 7. Follow the path: +6 → +2 → +6 → -19 → +6. What is the final value?
- Math Maze: Start at 1. Follow the path: +3 → ×2 → ×2 → ×2 → -31. What is the final value?
- Math Maze: Start at 7. Follow the path: ×3 → ×2 → +1 → +3 → +9. What is the final value?
- Math Maze: Start at 1. Follow the path: +8 → ×4 → -26 → -9 → ×4. What is the final value?
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