Workbook Detail
Math Maze Division Small Hard — Set 51
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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 10. Follow the path: ×2 → +3 → ×3 → ×2 → ×3. What is the final value?",
"answer": "414",
"startValue": 10,
"steps": [
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"op": "×",
"operand": 2,
"result": 20
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{
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"operand": 3,
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"operand": 3,
"result": 69
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"operand": 2,
"result": 138
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"op": "×",
"operand": 3,
"result": 414
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"finalValue": 414,
"pathDescription": "Step 1: ×2 = 20; Step 2: +3 = 23; Step 3: ×3 = 69; Step 4: ×2 = 138; Step 5: ×3 = 414"
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{
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"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +6 → ×2 → ×4 → -51 → +8. What is the final value?",
"answer": "13",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 6,
"result": 7
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{
"op": "×",
"operand": 2,
"result": 14
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{
"op": "×",
"operand": 4,
"result": 56
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"op": "-",
"operand": 51,
"result": 5
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{
"op": "+",
"operand": 8,
"result": 13
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"finalValue": 13,
"pathDescription": "Step 1: +6 = 7; Step 2: ×2 = 14; Step 3: ×4 = 56; Step 4: -51 = 5; Step 5: +8 = 13"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +4 → +8 → ×2 → +2 → -18. What is the final value?",
"answer": "24",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 4,
"result": 12
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{
"op": "+",
"operand": 8,
"result": 20
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{
"op": "×",
"operand": 2,
"result": 40
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{
"op": "+",
"operand": 2,
"result": 42
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{
"op": "-",
"operand": 18,
"result": 24
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"finalValue": 24,
"pathDescription": "Step 1: +4 = 12; Step 2: +8 = 20; Step 3: ×2 = 40; Step 4: +2 = 42; Step 5: -18 = 24"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +8 → -8 → ×3 → -1 → -1. What is the final value?",
"answer": "4",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 8,
"result": 10
},
{
"op": "-",
"operand": 8,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 1,
"result": 5
},
{
"op": "-",
"operand": 1,
"result": 4
}
],
"finalValue": 4,
"pathDescription": "Step 1: +8 = 10; Step 2: -8 = 2; Step 3: ×3 = 6; Step 4: -1 = 5; Step 5: -1 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×2 → +2 → +1 → ×4 → ×3. What is the final value?",
"answer": "60",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 2,
"result": 2
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{
"op": "+",
"operand": 2,
"result": 4
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{
"op": "+",
"operand": 1,
"result": 5
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{
"op": "×",
"operand": 4,
"result": 20
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{
"op": "×",
"operand": 3,
"result": 60
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"finalValue": 60,
"pathDescription": "Step 1: ×2 = 2; Step 2: +2 = 4; Step 3: +1 = 5; Step 4: ×4 = 20; Step 5: ×3 = 60"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -5 → +1 → -1 → -1 → -1. What is the final value?",
"answer": "-1",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 5,
"result": 1
},
{
"op": "+",
"operand": 1,
"result": 2
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{
"op": "-",
"operand": 1,
"result": 1
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{
"op": "-",
"operand": 1,
"result": 0
},
{
"op": "-",
"operand": 1,
"result": -1
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],
"finalValue": -1,
"pathDescription": "Step 1: -5 = 1; Step 2: +1 = 2; Step 3: -1 = 1; Step 4: -1 = 0; Step 5: -1 = -1"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +4 → +9 → -6 → +9 → +9. What is the final value?",
"answer": "35",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 4,
"result": 14
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{
"op": "+",
"operand": 9,
"result": 23
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{
"op": "-",
"operand": 6,
"result": 17
},
{
"op": "+",
"operand": 9,
"result": 26
},
{
"op": "+",
"operand": 9,
"result": 35
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],
"finalValue": 35,
"pathDescription": "Step 1: +4 = 14; Step 2: +9 = 23; Step 3: -6 = 17; Step 4: +9 = 26; Step 5: +9 = 35"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +9 → ×3 → -7 → ×4 → -76. What is the final value?",
"answer": "16",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 9,
"result": 10
},
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "-",
"operand": 7,
"result": 23
},
{
"op": "×",
"operand": 4,
"result": 92
},
{
"op": "-",
"operand": 76,
"result": 16
}
],
"finalValue": 16,
"pathDescription": "Step 1: +9 = 10; Step 2: ×3 = 30; Step 3: -7 = 23; Step 4: ×4 = 92; Step 5: -76 = 16"
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: ×2 → +3 → ×3 → ×2 → ×3. What is the final value?
- Math Maze: Start at 1. Follow the path: +6 → ×2 → ×4 → -51 → +8. What is the final value?
- Math Maze: Start at 8. Follow the path: +4 → +8 → ×2 → +2 → -18. What is the final value?
- Math Maze: Start at 2. Follow the path: +8 → -8 → ×3 → -1 → -1. What is the final value?
- Math Maze: Start at 1. Follow the path: ×2 → +2 → +1 → ×4 → ×3. What is the final value?
- Math Maze: Start at 6. Follow the path: -5 → +1 → -1 → -1 → -1. What is the final value?
- Math Maze: Start at 10. Follow the path: +4 → +9 → -6 → +9 → +9. What is the final value?
- Math Maze: Start at 1. Follow the path: +9 → ×3 → -7 → ×4 → -76. What is the final value?
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