Workbook Detail
Math Maze Subtraction Hard — Set 68
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"problems": [
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"type": "math-maze",
"subType": "math-maze",
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"question": "Math Maze: Start at 2. Follow the path: -1 → ×2 → ×2 → ×4 → -15. What is the final value?",
"answer": "1",
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"pathDescription": "Step 1: -1 = 1; Step 2: ×2 = 2; Step 3: ×2 = 4; Step 4: ×4 = 16; Step 5: -15 = 1"
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"question": "Math Maze: Start at 1. Follow the path: ×2 → ×2 → ×2 → -4 → ×3. What is the final value?",
"answer": "12",
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"steps": [
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"op": "×",
"operand": 2,
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"operand": 2,
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"op": "×",
"operand": 2,
"result": 8
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"operand": 3,
"result": 12
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"finalValue": 12,
"pathDescription": "Step 1: ×2 = 2; Step 2: ×2 = 4; Step 3: ×2 = 8; Step 4: -4 = 4; Step 5: ×3 = 12"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -2 → +6 → -3 → -2 → +2. What is the final value?",
"answer": "6",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 2,
"result": 3
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{
"op": "+",
"operand": 6,
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{
"op": "-",
"operand": 3,
"result": 6
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{
"op": "+",
"operand": 2,
"result": 6
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"finalValue": 6,
"pathDescription": "Step 1: -2 = 3; Step 2: +6 = 9; Step 3: -3 = 6; Step 4: -2 = 4; Step 5: +2 = 6"
},
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -3 → +4 → ×2 → -14 → +9. What is the final value?",
"answer": "13",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 3,
"result": 5
},
{
"op": "+",
"operand": 4,
"result": 9
},
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "-",
"operand": 14,
"result": 4
},
{
"op": "+",
"operand": 9,
"result": 13
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],
"finalValue": 13,
"pathDescription": "Step 1: -3 = 5; Step 2: +4 = 9; Step 3: ×2 = 18; Step 4: -14 = 4; Step 5: +9 = 13"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: -1 → ×4 → ×3 → -22 → -4. What is the final value?",
"answer": "10",
"startValue": 4,
"steps": [
{
"op": "-",
"operand": 1,
"result": 3
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{
"op": "×",
"operand": 4,
"result": 12
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{
"op": "×",
"operand": 3,
"result": 36
},
{
"op": "-",
"operand": 22,
"result": 14
},
{
"op": "-",
"operand": 4,
"result": 10
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"finalValue": 10,
"pathDescription": "Step 1: -1 = 3; Step 2: ×4 = 12; Step 3: ×3 = 36; Step 4: -22 = 14; Step 5: -4 = 10"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×2 → +4 → ×2 → ×2 → ×4. What is the final value?",
"answer": "352",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 2,
"result": 18
},
{
"op": "+",
"operand": 4,
"result": 22
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{
"op": "×",
"operand": 2,
"result": 44
},
{
"op": "×",
"operand": 2,
"result": 88
},
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"op": "×",
"operand": 4,
"result": 352
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"finalValue": 352,
"pathDescription": "Step 1: ×2 = 18; Step 2: +4 = 22; Step 3: ×2 = 44; Step 4: ×2 = 88; Step 5: ×4 = 352"
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{
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"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×2 → +8 → ×4 → -87 → ×3. What is the final value?",
"answer": "27",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 2,
"result": 16
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{
"op": "+",
"operand": 8,
"result": 24
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{
"op": "×",
"operand": 4,
"result": 96
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{
"op": "-",
"operand": 87,
"result": 9
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{
"op": "×",
"operand": 3,
"result": 27
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"finalValue": 27,
"pathDescription": "Step 1: ×2 = 16; Step 2: +8 = 24; Step 3: ×4 = 96; Step 4: -87 = 9; Step 5: ×3 = 27"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +1 → -1 → -2 → +2 → -1. What is the final value?",
"answer": "2",
"startValue": 3,
"steps": [
{
"op": "+",
"operand": 1,
"result": 4
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{
"op": "-",
"operand": 1,
"result": 3
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{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "+",
"operand": 2,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
}
],
"finalValue": 2,
"pathDescription": "Step 1: +1 = 4; Step 2: -1 = 3; Step 3: -2 = 1; Step 4: +2 = 3; Step 5: -1 = 2"
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}Teaching Notes
- Math Maze: Start at 2. Follow the path: -1 → ×2 → ×2 → ×4 → -15. What is the final value?
- Math Maze: Start at 1. Follow the path: ×2 → ×2 → ×2 → -4 → ×3. What is the final value?
- Math Maze: Start at 5. Follow the path: -2 → +6 → -3 → -2 → +2. What is the final value?
- Math Maze: Start at 8. Follow the path: -3 → +4 → ×2 → -14 → +9. What is the final value?
- Math Maze: Start at 4. Follow the path: -1 → ×4 → ×3 → -22 → -4. What is the final value?
- Math Maze: Start at 9. Follow the path: ×2 → +4 → ×2 → ×2 → ×4. What is the final value?
- Math Maze: Start at 8. Follow the path: ×2 → +8 → ×4 → -87 → ×3. What is the final value?
- Math Maze: Start at 3. Follow the path: +1 → -1 → -2 → +2 → -1. What is the final value?
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