Workbook Detail
Math Maze Division Small Hard — Set 31
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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: ×3 → ×2 → +3 → ×3 → +8. What is the final value?",
"answer": "197",
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"steps": [
{
"op": "×",
"operand": 3,
"result": 30
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{
"op": "×",
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"result": 60
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"operand": 3,
"result": 63
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"operand": 3,
"result": 189
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{
"op": "+",
"operand": 8,
"result": 197
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"pathDescription": "Step 1: ×3 = 30; Step 2: ×2 = 60; Step 3: +3 = 63; Step 4: ×3 = 189; Step 5: +8 = 197"
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{
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"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → ×3 → ×3 → -170 → +8. What is the final value?",
"answer": "108",
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"steps": [
{
"op": "×",
"operand": 3,
"result": 30
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{
"op": "×",
"operand": 3,
"result": 90
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{
"op": "×",
"operand": 3,
"result": 270
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{
"op": "-",
"operand": 170,
"result": 100
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{
"op": "+",
"operand": 8,
"result": 108
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"finalValue": 108,
"pathDescription": "Step 1: ×3 = 30; Step 2: ×3 = 90; Step 3: ×3 = 270; Step 4: -170 = 100; Step 5: +8 = 108"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +8 → ×4 → +5 → ×3 → +2. What is the final value?",
"answer": "209",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 8,
"result": 16
},
{
"op": "×",
"operand": 4,
"result": 64
},
{
"op": "+",
"operand": 5,
"result": 69
},
{
"op": "×",
"operand": 3,
"result": 207
},
{
"op": "+",
"operand": 2,
"result": 209
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"finalValue": 209,
"pathDescription": "Step 1: +8 = 16; Step 2: ×4 = 64; Step 3: +5 = 69; Step 4: ×3 = 207; Step 5: +2 = 209"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -4 → ×3 → ×4 → ×3 → +1. What is the final value?",
"answer": "109",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 4,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
},
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "×",
"operand": 3,
"result": 108
},
{
"op": "+",
"operand": 1,
"result": 109
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],
"finalValue": 109,
"pathDescription": "Step 1: -4 = 3; Step 2: ×3 = 9; Step 3: ×4 = 36; Step 4: ×3 = 108; Step 5: +1 = 109"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: ×2 → +10 → +1 → ×3 → -16. What is the final value?",
"answer": "59",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 2,
"result": 14
},
{
"op": "+",
"operand": 10,
"result": 24
},
{
"op": "+",
"operand": 1,
"result": 25
},
{
"op": "×",
"operand": 3,
"result": 75
},
{
"op": "-",
"operand": 16,
"result": 59
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"finalValue": 59,
"pathDescription": "Step 1: ×2 = 14; Step 2: +10 = 24; Step 3: +1 = 25; Step 4: ×3 = 75; Step 5: -16 = 59"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -4 → -1 → -1 → -1 → +2. What is the final value?",
"answer": "0",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 4,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "-",
"operand": 1,
"result": -1
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{
"op": "-",
"operand": 1,
"result": -2
},
{
"op": "+",
"operand": 2,
"result": 0
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],
"finalValue": 0,
"pathDescription": "Step 1: -4 = 1; Step 2: -1 = 0; Step 3: -1 = -1; Step 4: -1 = -2; Step 5: +2 = 0"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -3 → ×2 → -1 → -2 → +1. What is the final value?",
"answer": "4",
"startValue": 6,
"steps": [
{
"op": "-",
"operand": 3,
"result": 3
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{
"op": "×",
"operand": 2,
"result": 6
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{
"op": "-",
"operand": 1,
"result": 5
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{
"op": "-",
"operand": 2,
"result": 3
},
{
"op": "+",
"operand": 1,
"result": 4
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"finalValue": 4,
"pathDescription": "Step 1: -3 = 3; Step 2: ×2 = 6; Step 3: -1 = 5; Step 4: -2 = 3; Step 5: +1 = 4"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +5 → +2 → +1 → +1 → -11. What is the final value?",
"answer": "8",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 5,
"result": 15
},
{
"op": "+",
"operand": 2,
"result": 17
},
{
"op": "+",
"operand": 1,
"result": 18
},
{
"op": "+",
"operand": 1,
"result": 19
},
{
"op": "-",
"operand": 11,
"result": 8
}
],
"finalValue": 8,
"pathDescription": "Step 1: +5 = 15; Step 2: +2 = 17; Step 3: +1 = 18; Step 4: +1 = 19; Step 5: -11 = 8"
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: ×3 → ×2 → +3 → ×3 → +8. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → ×3 → ×3 → -170 → +8. What is the final value?
- Math Maze: Start at 8. Follow the path: +8 → ×4 → +5 → ×3 → +2. What is the final value?
- Math Maze: Start at 7. Follow the path: -4 → ×3 → ×4 → ×3 → +1. What is the final value?
- Math Maze: Start at 7. Follow the path: ×2 → +10 → +1 → ×3 → -16. What is the final value?
- Math Maze: Start at 5. Follow the path: -4 → -1 → -1 → -1 → +2. What is the final value?
- Math Maze: Start at 6. Follow the path: -3 → ×2 → -1 → -2 → +1. What is the final value?
- Math Maze: Start at 10. Follow the path: +5 → +2 → +1 → +1 → -11. What is the final value?
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