Workbook Detail
Math Maze Subtraction Hard — Set 43
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"subject": "arithmetic",
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"problems": [
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +9 → -7 → ×4 → -18 → ×4. What is the final value?",
"answer": "120",
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"pathDescription": "Step 1: +9 = 19; Step 2: -7 = 12; Step 3: ×4 = 48; Step 4: -18 = 30; Step 5: ×4 = 120"
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"question": "Math Maze: Start at 5. Follow the path: -4 → -1 → +1 → ×2 → +2. What is the final value?",
"answer": "4",
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"op": "-",
"operand": 4,
"result": 1
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"op": "-",
"operand": 1,
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{
"op": "+",
"operand": 1,
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"operand": 2,
"result": 2
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{
"op": "+",
"operand": 2,
"result": 4
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"finalValue": 4,
"pathDescription": "Step 1: -4 = 1; Step 2: -1 = 0; Step 3: +1 = 1; Step 4: ×2 = 2; Step 5: +2 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -9 → ×4 → ×2 → +10 → +9. What is the final value?",
"answer": "27",
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"steps": [
{
"op": "-",
"operand": 9,
"result": 1
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{
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{
"op": "×",
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{
"op": "+",
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"result": 27
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"finalValue": 27,
"pathDescription": "Step 1: -9 = 1; Step 2: ×4 = 4; Step 3: ×2 = 8; Step 4: +10 = 18; Step 5: +9 = 27"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -3 → ×3 → -4 → ×4 → ×2. What is the final value?",
"answer": "16",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 3,
"result": 2
},
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "-",
"operand": 4,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
},
{
"op": "×",
"operand": 2,
"result": 16
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],
"finalValue": 16,
"pathDescription": "Step 1: -3 = 2; Step 2: ×3 = 6; Step 3: -4 = 2; Step 4: ×4 = 8; Step 5: ×2 = 16"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: -5 → -2 → ×3 → ×3 → +10. What is the final value?",
"answer": "28",
"startValue": 9,
"steps": [
{
"op": "-",
"operand": 5,
"result": 4
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{
"op": "-",
"operand": 2,
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{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "+",
"operand": 10,
"result": 28
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],
"finalValue": 28,
"pathDescription": "Step 1: -5 = 4; Step 2: -2 = 2; Step 3: ×3 = 6; Step 4: ×3 = 18; Step 5: +10 = 28"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: +9 → -11 → -2 → +8 → ×3. What is the final value?",
"answer": "30",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 9,
"result": 15
},
{
"op": "-",
"operand": 11,
"result": 4
},
{
"op": "-",
"operand": 2,
"result": 2
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{
"op": "+",
"operand": 8,
"result": 10
},
{
"op": "×",
"operand": 3,
"result": 30
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"finalValue": 30,
"pathDescription": "Step 1: +9 = 15; Step 2: -11 = 4; Step 3: -2 = 2; Step 4: +8 = 10; Step 5: ×3 = 30"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +8 → -2 → +2 → ×4 → +1. What is the final value?",
"answer": "69",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 8,
"result": 17
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{
"op": "-",
"operand": 2,
"result": 15
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{
"op": "+",
"operand": 2,
"result": 17
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{
"op": "×",
"operand": 4,
"result": 68
},
{
"op": "+",
"operand": 1,
"result": 69
}
],
"finalValue": 69,
"pathDescription": "Step 1: +8 = 17; Step 2: -2 = 15; Step 3: +2 = 17; Step 4: ×4 = 68; Step 5: +1 = 69"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +7 → +6 → -11 → ×3 → +9. What is the final value?",
"answer": "21",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 7,
"result": 9
},
{
"op": "+",
"operand": 6,
"result": 15
},
{
"op": "-",
"operand": 11,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
},
{
"op": "+",
"operand": 9,
"result": 21
}
],
"finalValue": 21,
"pathDescription": "Step 1: +7 = 9; Step 2: +6 = 15; Step 3: -11 = 4; Step 4: ×3 = 12; Step 5: +9 = 21"
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}Teaching Notes
- Math Maze: Start at 10. Follow the path: +9 → -7 → ×4 → -18 → ×4. What is the final value?
- Math Maze: Start at 5. Follow the path: -4 → -1 → +1 → ×2 → +2. What is the final value?
- Math Maze: Start at 10. Follow the path: -9 → ×4 → ×2 → +10 → +9. What is the final value?
- Math Maze: Start at 5. Follow the path: -3 → ×3 → -4 → ×4 → ×2. What is the final value?
- Math Maze: Start at 9. Follow the path: -5 → -2 → ×3 → ×3 → +10. What is the final value?
- Math Maze: Start at 6. Follow the path: +9 → -11 → -2 → +8 → ×3. What is the final value?
- Math Maze: Start at 9. Follow the path: +8 → -2 → +2 → ×4 → +1. What is the final value?
- Math Maze: Start at 2. Follow the path: +7 → +6 → -11 → ×3 → +9. What is the final value?
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