Workbook Detail
Math Maze Division Small Hard — Set 81
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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 7. Follow the path: ×4 → +5 → -26 → +10 → -1. What is the final value?",
"answer": "16",
"startValue": 7,
"steps": [
{
"op": "×",
"operand": 4,
"result": 28
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"operand": 26,
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"result": 17
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"result": 16
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"finalValue": 16,
"pathDescription": "Step 1: ×4 = 28; Step 2: +5 = 33; Step 3: -26 = 7; Step 4: +10 = 17; Step 5: -1 = 16"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 1. Follow the path: -1 → +8 → ×3 → -10 → -6. What is the final value?",
"answer": "8",
"startValue": 1,
"steps": [
{
"op": "-",
"operand": 1,
"result": 0
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{
"op": "+",
"operand": 8,
"result": 8
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{
"op": "×",
"operand": 3,
"result": 24
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{
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"operand": 10,
"result": 14
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{
"op": "-",
"operand": 6,
"result": 8
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"finalValue": 8,
"pathDescription": "Step 1: -1 = 0; Step 2: +8 = 8; Step 3: ×3 = 24; Step 4: -10 = 14; Step 5: -6 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: -3 → +9 → -10 → ×3 → +10. What is the final value?",
"answer": "13",
"startValue": 5,
"steps": [
{
"op": "-",
"operand": 3,
"result": 2
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{
"op": "+",
"operand": 9,
"result": 11
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{
"op": "-",
"operand": 10,
"result": 1
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{
"op": "×",
"operand": 3,
"result": 3
},
{
"op": "+",
"operand": 10,
"result": 13
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"finalValue": 13,
"pathDescription": "Step 1: -3 = 2; Step 2: +9 = 11; Step 3: -10 = 1; Step 4: ×3 = 3; Step 5: +10 = 13"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: ×2 → +6 → ×3 → ×2 → -78. What is the final value?",
"answer": "30",
"startValue": 6,
"steps": [
{
"op": "×",
"operand": 2,
"result": 12
},
{
"op": "+",
"operand": 6,
"result": 18
},
{
"op": "×",
"operand": 3,
"result": 54
},
{
"op": "×",
"operand": 2,
"result": 108
},
{
"op": "-",
"operand": 78,
"result": 30
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],
"finalValue": 30,
"pathDescription": "Step 1: ×2 = 12; Step 2: +6 = 18; Step 3: ×3 = 54; Step 4: ×2 = 108; Step 5: -78 = 30"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +6 → ×2 → -2 → ×3 → +6. What is the final value?",
"answer": "78",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 6,
"result": 13
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{
"op": "×",
"operand": 2,
"result": 26
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{
"op": "-",
"operand": 2,
"result": 24
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{
"op": "×",
"operand": 3,
"result": 72
},
{
"op": "+",
"operand": 6,
"result": 78
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"finalValue": 78,
"pathDescription": "Step 1: +6 = 13; Step 2: ×2 = 26; Step 3: -2 = 24; Step 4: ×3 = 72; Step 5: +6 = 78"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: +1 → -2 → +4 → ×2 → +4. What is the final value?",
"answer": "26",
"startValue": 8,
"steps": [
{
"op": "+",
"operand": 1,
"result": 9
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{
"op": "-",
"operand": 2,
"result": 7
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{
"op": "+",
"operand": 4,
"result": 11
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{
"op": "×",
"operand": 2,
"result": 22
},
{
"op": "+",
"operand": 4,
"result": 26
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],
"finalValue": 26,
"pathDescription": "Step 1: +1 = 9; Step 2: -2 = 7; Step 3: +4 = 11; Step 4: ×2 = 22; Step 5: +4 = 26"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -3 → -3 → ×4 → -11 → -4. What is the final value?",
"answer": "1",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 3,
"result": 7
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{
"op": "-",
"operand": 3,
"result": 4
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{
"op": "×",
"operand": 4,
"result": 16
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{
"op": "-",
"operand": 11,
"result": 5
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{
"op": "-",
"operand": 4,
"result": 1
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],
"finalValue": 1,
"pathDescription": "Step 1: -3 = 7; Step 2: -3 = 4; Step 3: ×4 = 16; Step 4: -11 = 5; Step 5: -4 = 1"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: -6 → +6 → -3 → -1 → +8. What is the final value?",
"answer": "11",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 6,
"result": 1
},
{
"op": "+",
"operand": 6,
"result": 7
},
{
"op": "-",
"operand": 3,
"result": 4
},
{
"op": "-",
"operand": 1,
"result": 3
},
{
"op": "+",
"operand": 8,
"result": 11
}
],
"finalValue": 11,
"pathDescription": "Step 1: -6 = 1; Step 2: +6 = 7; Step 3: -3 = 4; Step 4: -1 = 3; Step 5: +8 = 11"
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: ×4 → +5 → -26 → +10 → -1. What is the final value?
- Math Maze: Start at 1. Follow the path: -1 → +8 → ×3 → -10 → -6. What is the final value?
- Math Maze: Start at 5. Follow the path: -3 → +9 → -10 → ×3 → +10. What is the final value?
- Math Maze: Start at 6. Follow the path: ×2 → +6 → ×3 → ×2 → -78. What is the final value?
- Math Maze: Start at 7. Follow the path: +6 → ×2 → -2 → ×3 → +6. What is the final value?
- Math Maze: Start at 8. Follow the path: +1 → -2 → +4 → ×2 → +4. What is the final value?
- Math Maze: Start at 10. Follow the path: -3 → -3 → ×4 → -11 → -4. What is the final value?
- Math Maze: Start at 7. Follow the path: -6 → +6 → -3 → -1 → +8. What is the final value?
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