Workbook Detail
Math Maze Multiplication Small Hard — Set 96
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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 3. Follow the path: -1 → -1 → +5 → -3 → +2. What is the final value?",
"answer": "5",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
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"operand": 5,
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"op": "+",
"operand": 2,
"result": 5
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"finalValue": 5,
"pathDescription": "Step 1: -1 = 2; Step 2: -1 = 1; Step 3: +5 = 6; Step 4: -3 = 3; Step 5: +2 = 5"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: -3 → -1 → +7 → ×4 → ×4. What is the final value?",
"answer": "144",
"startValue": 6,
"steps": [
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"op": "-",
"operand": 3,
"result": 3
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{
"op": "-",
"operand": 1,
"result": 2
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{
"op": "+",
"operand": 7,
"result": 9
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{
"op": "×",
"operand": 4,
"result": 36
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{
"op": "×",
"operand": 4,
"result": 144
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"finalValue": 144,
"pathDescription": "Step 1: -3 = 3; Step 2: -1 = 2; Step 3: +7 = 9; Step 4: ×4 = 36; Step 5: ×4 = 144"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +1 → +1 → +9 → ×4 → -37. What is the final value?",
"answer": "11",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 1,
"result": 2
},
{
"op": "+",
"operand": 1,
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{
"op": "+",
"operand": 9,
"result": 12
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{
"op": "×",
"operand": 4,
"result": 48
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{
"op": "-",
"operand": 37,
"result": 11
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"finalValue": 11,
"pathDescription": "Step 1: +1 = 2; Step 2: +1 = 3; Step 3: +9 = 12; Step 4: ×4 = 48; Step 5: -37 = 11"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: ×3 → ×3 → +6 → +2 → ×3. What is the final value?",
"answer": "78",
"startValue": 2,
"steps": [
{
"op": "×",
"operand": 3,
"result": 6
},
{
"op": "×",
"operand": 3,
"result": 18
},
{
"op": "+",
"operand": 6,
"result": 24
},
{
"op": "+",
"operand": 2,
"result": 26
},
{
"op": "×",
"operand": 3,
"result": 78
}
],
"finalValue": 78,
"pathDescription": "Step 1: ×3 = 6; Step 2: ×3 = 18; Step 3: +6 = 24; Step 4: +2 = 26; Step 5: ×3 = 78"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: +7 → +9 → ×2 → -21 → -9. What is the final value?",
"answer": "4",
"startValue": 1,
"steps": [
{
"op": "+",
"operand": 7,
"result": 8
},
{
"op": "+",
"operand": 9,
"result": 17
},
{
"op": "×",
"operand": 2,
"result": 34
},
{
"op": "-",
"operand": 21,
"result": 13
},
{
"op": "-",
"operand": 9,
"result": 4
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],
"finalValue": 4,
"pathDescription": "Step 1: +7 = 8; Step 2: +9 = 17; Step 3: ×2 = 34; Step 4: -21 = 13; Step 5: -9 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -2 → +7 → -7 → ×3 → ×2. What is the final value?",
"answer": "6",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 2,
"result": 1
},
{
"op": "+",
"operand": 7,
"result": 8
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{
"op": "-",
"operand": 7,
"result": 1
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{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "×",
"operand": 2,
"result": 6
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],
"finalValue": 6,
"pathDescription": "Step 1: -2 = 1; Step 2: +7 = 8; Step 3: -7 = 1; Step 4: ×3 = 3; Step 5: ×2 = 6"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 2. Follow the path: +9 → ×2 → ×2 → -20 → ×4. What is the final value?",
"answer": "96",
"startValue": 2,
"steps": [
{
"op": "+",
"operand": 9,
"result": 11
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{
"op": "×",
"operand": 2,
"result": 22
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{
"op": "×",
"operand": 2,
"result": 44
},
{
"op": "-",
"operand": 20,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
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"finalValue": 96,
"pathDescription": "Step 1: +9 = 11; Step 2: ×2 = 22; Step 3: ×2 = 44; Step 4: -20 = 24; Step 5: ×4 = 96"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: ×2 → -1 → +6 → +6 → -12. What is the final value?",
"answer": "5",
"startValue": 3,
"steps": [
{
"op": "×",
"operand": 2,
"result": 6
},
{
"op": "-",
"operand": 1,
"result": 5
},
{
"op": "+",
"operand": 6,
"result": 11
},
{
"op": "+",
"operand": 6,
"result": 17
},
{
"op": "-",
"operand": 12,
"result": 5
}
],
"finalValue": 5,
"pathDescription": "Step 1: ×2 = 6; Step 2: -1 = 5; Step 3: +6 = 11; Step 4: +6 = 17; Step 5: -12 = 5"
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}Teaching Notes
- Math Maze: Start at 3. Follow the path: -1 → -1 → +5 → -3 → +2. What is the final value?
- Math Maze: Start at 6. Follow the path: -3 → -1 → +7 → ×4 → ×4. What is the final value?
- Math Maze: Start at 1. Follow the path: +1 → +1 → +9 → ×4 → -37. What is the final value?
- Math Maze: Start at 2. Follow the path: ×3 → ×3 → +6 → +2 → ×3. What is the final value?
- Math Maze: Start at 1. Follow the path: +7 → +9 → ×2 → -21 → -9. What is the final value?
- Math Maze: Start at 3. Follow the path: -2 → +7 → -7 → ×3 → ×2. What is the final value?
- Math Maze: Start at 2. Follow the path: +9 → ×2 → ×2 → -20 → ×4. What is the final value?
- Math Maze: Start at 3. Follow the path: ×2 → -1 → +6 → +6 → -12. What is the final value?
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