Workbook Detail
Math Maze Division Small Hard — Set 36
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"problems": [
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"type": "math-maze",
"subType": "math-maze",
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"question": "Math Maze: Start at 7. Follow the path: -4 → -2 → -1 → ×4 → +7. What is the final value?",
"answer": "7",
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"steps": [
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"op": "-",
"operand": 4,
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"pathDescription": "Step 1: -4 = 3; Step 2: -2 = 1; Step 3: -1 = 0; Step 4: ×4 = 0; Step 5: +7 = 7"
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"question": "Math Maze: Start at 3. Follow the path: ×4 → ×3 → +4 → +9 → ×2. What is the final value?",
"answer": "98",
"startValue": 3,
"steps": [
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"op": "×",
"operand": 4,
"result": 12
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"op": "×",
"operand": 3,
"result": 36
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"op": "+",
"operand": 4,
"result": 40
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"operand": 9,
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"op": "×",
"operand": 2,
"result": 98
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"pathDescription": "Step 1: ×4 = 12; Step 2: ×3 = 36; Step 3: +4 = 40; Step 4: +9 = 49; Step 5: ×2 = 98"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×2 → -1 → ×3 → ×4 → ×4. What is the final value?",
"answer": "48",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 2,
"result": 2
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{
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{
"op": "×",
"operand": 3,
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"op": "×",
"operand": 4,
"result": 48
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"pathDescription": "Step 1: ×2 = 2; Step 2: -1 = 1; Step 3: ×3 = 3; Step 4: ×4 = 12; Step 5: ×4 = 48"
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"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: ×2 → +2 → +7 → +10 → -15. What is the final value?",
"answer": "6",
"startValue": 1,
"steps": [
{
"op": "×",
"operand": 2,
"result": 2
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{
"op": "+",
"operand": 2,
"result": 4
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{
"op": "+",
"operand": 7,
"result": 11
},
{
"op": "+",
"operand": 10,
"result": 21
},
{
"op": "-",
"operand": 15,
"result": 6
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],
"finalValue": 6,
"pathDescription": "Step 1: ×2 = 2; Step 2: +2 = 4; Step 3: +7 = 11; Step 4: +10 = 21; Step 5: -15 = 6"
},
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +1 → ×2 → -9 → +9 → ×2. What is the final value?",
"answer": "36",
"startValue": 8,
"steps": [
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"op": "+",
"operand": 1,
"result": 9
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{
"op": "×",
"operand": 2,
"result": 18
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{
"op": "-",
"operand": 9,
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"op": "+",
"operand": 9,
"result": 18
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"op": "×",
"operand": 2,
"result": 36
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"finalValue": 36,
"pathDescription": "Step 1: +1 = 9; Step 2: ×2 = 18; Step 3: -9 = 9; Step 4: +9 = 18; Step 5: ×2 = 36"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×3 → +8 → ×3 → ×3 → +6. What is the final value?",
"answer": "186",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 3,
"result": 12
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{
"op": "+",
"operand": 8,
"result": 20
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{
"op": "×",
"operand": 3,
"result": 60
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{
"op": "×",
"operand": 3,
"result": 180
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{
"op": "+",
"operand": 6,
"result": 186
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"finalValue": 186,
"pathDescription": "Step 1: ×3 = 12; Step 2: +8 = 20; Step 3: ×3 = 60; Step 4: ×3 = 180; Step 5: +6 = 186"
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{
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"question": "Math Maze: Start at 7. Follow the path: +3 → ×2 → ×2 → ×2 → -55. What is the final value?",
"answer": "25",
"startValue": 7,
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{
"op": "+",
"operand": 3,
"result": 10
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{
"op": "×",
"operand": 2,
"result": 20
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{
"op": "×",
"operand": 2,
"result": 40
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{
"op": "×",
"operand": 2,
"result": 80
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{
"op": "-",
"operand": 55,
"result": 25
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"finalValue": 25,
"pathDescription": "Step 1: +3 = 10; Step 2: ×2 = 20; Step 3: ×2 = 40; Step 4: ×2 = 80; Step 5: -55 = 25"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → ×2 → ×3 → -178 → +7. What is the final value?",
"answer": "9",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "×",
"operand": 2,
"result": 60
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{
"op": "×",
"operand": 3,
"result": 180
},
{
"op": "-",
"operand": 178,
"result": 2
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{
"op": "+",
"operand": 7,
"result": 9
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],
"finalValue": 9,
"pathDescription": "Step 1: ×3 = 30; Step 2: ×2 = 60; Step 3: ×3 = 180; Step 4: -178 = 2; Step 5: +7 = 9"
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: -4 → -2 → -1 → ×4 → +7. What is the final value?
- Math Maze: Start at 3. Follow the path: ×4 → ×3 → +4 → +9 → ×2. What is the final value?
- Math Maze: Start at 1. Follow the path: ×2 → -1 → ×3 → ×4 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: ×2 → +2 → +7 → +10 → -15. What is the final value?
- Math Maze: Start at 8. Follow the path: +1 → ×2 → -9 → +9 → ×2. What is the final value?
- Math Maze: Start at 4. Follow the path: ×3 → +8 → ×3 → ×3 → +6. What is the final value?
- Math Maze: Start at 7. Follow the path: +3 → ×2 → ×2 → ×2 → -55. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → ×2 → ×3 → -178 → +7. What is the final value?
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