Workbook Detail
Math Maze Division Small Hard — Set 93
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"subject": "arithmetic",
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"problems": [
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"type": "math-maze",
"subType": "math-maze",
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"question": "Math Maze: Start at 7. Follow the path: -6 → ×4 → ×4 → -8 → -7. What is the final value?",
"answer": "1",
"startValue": 7,
"steps": [
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"pathDescription": "Step 1: -6 = 1; Step 2: ×4 = 4; Step 3: ×4 = 16; Step 4: -8 = 8; Step 5: -7 = 1"
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"question": "Math Maze: Start at 4. Follow the path: ×4 → -2 → -9 → +4 → +3. What is the final value?",
"answer": "12",
"startValue": 4,
"steps": [
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"op": "×",
"operand": 4,
"result": 16
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"op": "-",
"operand": 2,
"result": 14
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{
"op": "-",
"operand": 9,
"result": 5
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{
"op": "+",
"operand": 4,
"result": 9
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"op": "+",
"operand": 3,
"result": 12
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"finalValue": 12,
"pathDescription": "Step 1: ×4 = 16; Step 2: -2 = 14; Step 3: -9 = 5; Step 4: +4 = 9; Step 5: +3 = 12"
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"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: ×2 → +9 → +5 → ×3 → -14. What is the final value?",
"answer": "76",
"startValue": 8,
"steps": [
{
"op": "×",
"operand": 2,
"result": 16
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{
"op": "+",
"operand": 9,
"result": 25
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{
"op": "+",
"operand": 5,
"result": 30
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{
"op": "×",
"operand": 3,
"result": 90
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{
"op": "-",
"operand": 14,
"result": 76
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"finalValue": 76,
"pathDescription": "Step 1: ×2 = 16; Step 2: +9 = 25; Step 3: +5 = 30; Step 4: ×3 = 90; Step 5: -14 = 76"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +7 → -12 → -1 → -2 → ×2. What is the final value?",
"answer": "4",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 7,
"result": 17
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{
"op": "-",
"operand": 12,
"result": 5
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{
"op": "-",
"operand": 1,
"result": 4
},
{
"op": "-",
"operand": 2,
"result": 2
},
{
"op": "×",
"operand": 2,
"result": 4
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],
"finalValue": 4,
"pathDescription": "Step 1: +7 = 17; Step 2: -12 = 5; Step 3: -1 = 4; Step 4: -2 = 2; Step 5: ×2 = 4"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: +5 → -4 → +4 → ×2 → +7. What is the final value?",
"answer": "27",
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"steps": [
{
"op": "+",
"operand": 5,
"result": 10
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{
"op": "-",
"operand": 4,
"result": 6
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{
"op": "+",
"operand": 4,
"result": 10
},
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "+",
"operand": 7,
"result": 27
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"finalValue": 27,
"pathDescription": "Step 1: +5 = 10; Step 2: -4 = 6; Step 3: +4 = 10; Step 4: ×2 = 20; Step 5: +7 = 27"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: ×4 → -19 → -4 → +10 → +5. What is the final value?",
"answer": "16",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 4,
"result": 24
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{
"op": "-",
"operand": 19,
"result": 5
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{
"op": "-",
"operand": 4,
"result": 1
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{
"op": "+",
"operand": 10,
"result": 11
},
{
"op": "+",
"operand": 5,
"result": 16
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"finalValue": 16,
"pathDescription": "Step 1: ×4 = 24; Step 2: -19 = 5; Step 3: -4 = 1; Step 4: +10 = 11; Step 5: +5 = 16"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → -1 → ×4 → ×2 → ×4. What is the final value?",
"answer": "32",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
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{
"op": "-",
"operand": 1,
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"op": "×",
"operand": 4,
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{
"op": "×",
"operand": 2,
"result": 8
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"op": "×",
"operand": 4,
"result": 32
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"finalValue": 32,
"pathDescription": "Step 1: -1 = 2; Step 2: -1 = 1; Step 3: ×4 = 4; Step 4: ×2 = 8; Step 5: ×4 = 32"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → ×2 → -10 → -19 → -7. What is the final value?",
"answer": "24",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "×",
"operand": 2,
"result": 60
},
{
"op": "-",
"operand": 10,
"result": 50
},
{
"op": "-",
"operand": 19,
"result": 31
},
{
"op": "-",
"operand": 7,
"result": 24
}
],
"finalValue": 24,
"pathDescription": "Step 1: ×3 = 30; Step 2: ×2 = 60; Step 3: -10 = 50; Step 4: -19 = 31; Step 5: -7 = 24"
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: -6 → ×4 → ×4 → -8 → -7. What is the final value?
- Math Maze: Start at 4. Follow the path: ×4 → -2 → -9 → +4 → +3. What is the final value?
- Math Maze: Start at 8. Follow the path: ×2 → +9 → +5 → ×3 → -14. What is the final value?
- Math Maze: Start at 10. Follow the path: +7 → -12 → -1 → -2 → ×2. What is the final value?
- Math Maze: Start at 5. Follow the path: +5 → -4 → +4 → ×2 → +7. What is the final value?
- Math Maze: Start at 6. Follow the path: ×4 → -19 → -4 → +10 → +5. What is the final value?
- Math Maze: Start at 3. Follow the path: -1 → -1 → ×4 → ×2 → ×4. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → ×2 → -10 → -19 → -7. What is the final value?
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