Workbook Detail
Math Maze Addition Small Hard — Set 99
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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: -3 → -2 → -1 → +10 → -9. What is the final value?",
"answer": "2",
"startValue": 7,
"steps": [
{
"op": "-",
"operand": 3,
"result": 4
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"result": 2
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"finalValue": 2,
"pathDescription": "Step 1: -3 = 4; Step 2: -2 = 2; Step 3: -1 = 1; Step 4: +10 = 11; Step 5: -9 = 2"
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"type": "math-maze",
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"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: +1 → +7 → +4 → ×3 → +8. What is the final value?",
"answer": "53",
"startValue": 3,
"steps": [
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"op": "+",
"operand": 1,
"result": 4
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{
"op": "+",
"operand": 7,
"result": 11
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{
"op": "+",
"operand": 4,
"result": 15
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"operand": 3,
"result": 45
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"op": "+",
"operand": 8,
"result": 53
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"finalValue": 53,
"pathDescription": "Step 1: +1 = 4; Step 2: +7 = 11; Step 3: +4 = 15; Step 4: ×3 = 45; Step 5: +8 = 53"
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{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×2 → ×4 → ×4 → ×2 → ×3. What is the final value?",
"answer": "1920",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "×",
"operand": 4,
"result": 80
},
{
"op": "×",
"operand": 4,
"result": 320
},
{
"op": "×",
"operand": 2,
"result": 640
},
{
"op": "×",
"operand": 3,
"result": 1920
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"finalValue": 1920,
"pathDescription": "Step 1: ×2 = 20; Step 2: ×4 = 80; Step 3: ×4 = 320; Step 4: ×2 = 640; Step 5: ×3 = 1920"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 4. Follow the path: ×2 → -2 → +7 → -9 → ×3. What is the final value?",
"answer": "12",
"startValue": 4,
"steps": [
{
"op": "×",
"operand": 2,
"result": 8
},
{
"op": "-",
"operand": 2,
"result": 6
},
{
"op": "+",
"operand": 7,
"result": 13
},
{
"op": "-",
"operand": 9,
"result": 4
},
{
"op": "×",
"operand": 3,
"result": 12
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],
"finalValue": 12,
"pathDescription": "Step 1: ×2 = 8; Step 2: -2 = 6; Step 3: +7 = 13; Step 4: -9 = 4; Step 5: ×3 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 3. Follow the path: -1 → +4 → +5 → ×2 → +9. What is the final value?",
"answer": "31",
"startValue": 3,
"steps": [
{
"op": "-",
"operand": 1,
"result": 2
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{
"op": "+",
"operand": 4,
"result": 6
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{
"op": "+",
"operand": 5,
"result": 11
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{
"op": "×",
"operand": 2,
"result": 22
},
{
"op": "+",
"operand": 9,
"result": 31
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"finalValue": 31,
"pathDescription": "Step 1: -1 = 2; Step 2: +4 = 6; Step 3: +5 = 11; Step 4: ×2 = 22; Step 5: +9 = 31"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: ×4 → +9 → -41 → +10 → ×3. What is the final value?",
"answer": "42",
"startValue": 9,
"steps": [
{
"op": "×",
"operand": 4,
"result": 36
},
{
"op": "+",
"operand": 9,
"result": 45
},
{
"op": "-",
"operand": 41,
"result": 4
},
{
"op": "+",
"operand": 10,
"result": 14
},
{
"op": "×",
"operand": 3,
"result": 42
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],
"finalValue": 42,
"pathDescription": "Step 1: ×4 = 36; Step 2: +9 = 45; Step 3: -41 = 4; Step 4: +10 = 14; Step 5: ×3 = 42"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 7. Follow the path: +1 → ×2 → ×2 → -4 → ×2. What is the final value?",
"answer": "56",
"startValue": 7,
"steps": [
{
"op": "+",
"operand": 1,
"result": 8
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{
"op": "×",
"operand": 2,
"result": 16
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{
"op": "×",
"operand": 2,
"result": 32
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{
"op": "-",
"operand": 4,
"result": 28
},
{
"op": "×",
"operand": 2,
"result": 56
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],
"finalValue": 56,
"pathDescription": "Step 1: +1 = 8; Step 2: ×2 = 16; Step 3: ×2 = 32; Step 4: -4 = 28; Step 5: ×2 = 56"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +10 → +2 → +10 → -28 → ×3. What is the final value?",
"answer": "9",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 10,
"result": 19
},
{
"op": "+",
"operand": 2,
"result": 21
},
{
"op": "+",
"operand": 10,
"result": 31
},
{
"op": "-",
"operand": 28,
"result": 3
},
{
"op": "×",
"operand": 3,
"result": 9
}
],
"finalValue": 9,
"pathDescription": "Step 1: +10 = 19; Step 2: +2 = 21; Step 3: +10 = 31; Step 4: -28 = 3; Step 5: ×3 = 9"
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}Teaching Notes
- Math Maze: Start at 7. Follow the path: -3 → -2 → -1 → +10 → -9. What is the final value?
- Math Maze: Start at 3. Follow the path: +1 → +7 → +4 → ×3 → +8. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → ×4 → ×4 → ×2 → ×3. What is the final value?
- Math Maze: Start at 4. Follow the path: ×2 → -2 → +7 → -9 → ×3. What is the final value?
- Math Maze: Start at 3. Follow the path: -1 → +4 → +5 → ×2 → +9. What is the final value?
- Math Maze: Start at 9. Follow the path: ×4 → +9 → -41 → +10 → ×3. What is the final value?
- Math Maze: Start at 7. Follow the path: +1 → ×2 → ×2 → -4 → ×2. What is the final value?
- Math Maze: Start at 9. Follow the path: +10 → +2 → +10 → -28 → ×3. What is the final value?
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