Workbook Detail
Math Maze Division Small Hard — Set 74
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"problems": [
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"type": "math-maze",
"subType": "math-maze",
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"question": "Math Maze: Start at 1. Follow the path: ×3 → +5 → +1 → ×2 → -11. What is the final value?",
"answer": "7",
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"steps": [
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"op": "×",
"operand": 3,
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"pathDescription": "Step 1: ×3 = 3; Step 2: +5 = 8; Step 3: +1 = 9; Step 4: ×2 = 18; Step 5: -11 = 7"
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"question": "Math Maze: Start at 10. Follow the path: ×2 → -7 → +6 → -12 → ×2. What is the final value?",
"answer": "14",
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"steps": [
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"op": "×",
"operand": 2,
"result": 20
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"op": "-",
"operand": 7,
"result": 13
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"op": "+",
"operand": 6,
"result": 19
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"operand": 12,
"result": 7
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"op": "×",
"operand": 2,
"result": 14
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"finalValue": 14,
"pathDescription": "Step 1: ×2 = 20; Step 2: -7 = 13; Step 3: +6 = 19; Step 4: -12 = 7; Step 5: ×2 = 14"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×3 → +6 → +4 → -27 → ×4. What is the final value?",
"answer": "40",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 3,
"result": 27
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{
"op": "+",
"operand": 6,
"result": 33
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{
"op": "+",
"operand": 4,
"result": 37
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{
"op": "-",
"operand": 27,
"result": 10
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"op": "×",
"operand": 4,
"result": 40
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"pathDescription": "Step 1: ×3 = 27; Step 2: +6 = 33; Step 3: +4 = 37; Step 4: -27 = 10; Step 5: ×4 = 40"
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"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×4 → +9 → -27 → ×2 → ×4. What is the final value?",
"answer": "112",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 4,
"result": 32
},
{
"op": "+",
"operand": 9,
"result": 41
},
{
"op": "-",
"operand": 27,
"result": 14
},
{
"op": "×",
"operand": 2,
"result": 28
},
{
"op": "×",
"operand": 4,
"result": 112
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"finalValue": 112,
"pathDescription": "Step 1: ×4 = 32; Step 2: +9 = 41; Step 3: -27 = 14; Step 4: ×2 = 28; Step 5: ×4 = 112"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -4 → ×4 → ×3 → +6 → ×3. What is the final value?",
"answer": "234",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 4,
"result": 6
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{
"op": "×",
"operand": 4,
"result": 24
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{
"op": "×",
"operand": 3,
"result": 72
},
{
"op": "+",
"operand": 6,
"result": 78
},
{
"op": "×",
"operand": 3,
"result": 234
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"finalValue": 234,
"pathDescription": "Step 1: -4 = 6; Step 2: ×4 = 24; Step 3: ×3 = 72; Step 4: +6 = 78; Step 5: ×3 = 234"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: ×4 → +3 → ×3 → ×4 → +4. What is the final value?",
"answer": "328",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 4,
"result": 24
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{
"op": "+",
"operand": 3,
"result": 27
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{
"op": "×",
"operand": 3,
"result": 81
},
{
"op": "×",
"operand": 4,
"result": 324
},
{
"op": "+",
"operand": 4,
"result": 328
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"finalValue": 328,
"pathDescription": "Step 1: ×4 = 24; Step 2: +3 = 27; Step 3: ×3 = 81; Step 4: ×4 = 324; Step 5: +4 = 328"
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"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +7 → -4 → ×3 → ×3 → ×4. What is the final value?",
"answer": "180",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 7,
"result": 9
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{
"op": "-",
"operand": 4,
"result": 5
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{
"op": "×",
"operand": 3,
"result": 15
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{
"op": "×",
"operand": 3,
"result": 45
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{
"op": "×",
"operand": 4,
"result": 180
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"finalValue": 180,
"pathDescription": "Step 1: +7 = 9; Step 2: -4 = 5; Step 3: ×3 = 15; Step 4: ×3 = 45; Step 5: ×4 = 180"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → ×3 → ×2 → +10 → ×3. What is the final value?",
"answer": "138",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "×",
"operand": 2,
"result": 36
},
{
"op": "+",
"operand": 10,
"result": 46
},
{
"op": "×",
"operand": 3,
"result": 138
}
],
"finalValue": 138,
"pathDescription": "Step 1: ×3 = 6; Step 2: ×3 = 18; Step 3: ×2 = 36; Step 4: +10 = 46; Step 5: ×3 = 138"
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}Teaching Notes
- Math Maze: Start at 1. Follow the path: ×3 → +5 → +1 → ×2 → -11. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → -7 → +6 → -12 → ×2. What is the final value?
- Math Maze: Start at 9. Follow the path: ×3 → +6 → +4 → -27 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×4 → +9 → -27 → ×2 → ×4. What is the final value?
- Math Maze: Start at 10. Follow the path: -4 → ×4 → ×3 → +6 → ×3. What is the final value?
- Math Maze: Start at 6. Follow the path: ×4 → +3 → ×3 → ×4 → +4. What is the final value?
- Math Maze: Start at 2. Follow the path: +7 → -4 → ×3 → ×3 → ×4. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → ×3 → ×2 → +10 → ×3. What is the final value?
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