{
  "Id": "fe9fe2f3-e1e7-4c62-aec9-e65095d908e2",
  "Title": "Advanced Whole Numbers Problem Solving",
  "Subject": "Mathematics",
  "Topic": "Whole Numbers",
  "Instructions": "Read each question carefully and answer to the best of your ability. Show all working for word problems.",
  "EstimatedMinutes": 35,
  "StudentProfileId": "dd186faa-f489-46ee-84e4-26e2d01e2691",
  "SourceFileName": "Math-Ch-03.pdf",
  "SessionMaterialId": "f1df02ff-5823-40a8-9472-7d17fee8b78a",
  "GeneratedAt": "2026-05-24T21:11:32.390711Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "word_problem",
      "Text": "If Indian independence day is celebrated on 15th August, calculate the total number of days from 1st January of a leap year to 15th August. Show your working.",
      "Options": [],
      "Answer": "Step 1: Number of days in January = 31\nStep 2: Number of days in February (leap year) = 29\nStep 3: Number of days in March = 31\nStep 4: Number of days in April = 30\nStep 5: Number of days in May = 31\nStep 6: Number of days in June = 30\nStep 7: Number of days in July = 31\nStep 8: Number of days until 15th August = 15\nTotal = 31 \u002B 29 \u002B 31 \u002B 30 \u002B 31 \u002B 30 \u002B 31 \u002B 15\nAnswer: 228 days",
      "Points": 10
    },
    {
      "Id": 2,
      "Type": "word_problem",
      "Text": "A factory produces 125 widgets per day. Due to increased demand, they decide to work an extra day each fortnight. Calculate the increase in production after 3 months. Show your working.",
      "Options": [],
      "Answer": "Step 1: Number of days in 3 months assuming average 30 days per month = 90\nStep 2: Number of extra days worked in 3 months (90 / 14 = 6 fortnights) = 6\nStep 3: Total normal production in 3 months = 125 \u00D7 90\nStep 4: Additional production = 125 \u00D7 6\nTotal increase in production = 125 \u00D7 6\nAnswer: 750 additional widgets",
      "Points": 10
    },
    {
      "Id": 3,
      "Type": "word_problem",
      "Text": "Swathi gets paid \u20B9 45 per hour. She worked 35 hours one week, and 42 hours the next week. Calculate her total earnings for these two weeks. Show your working.",
      "Options": [],
      "Answer": "Step 1: Earnings for first week = 45 \u00D7 35\nStep 2: Earnings for second week = 45 \u00D7 42\nTotal earnings = (45 \u00D7 35) \u002B (45 \u00D7 42)\nAnswer: \u20B9 3,465",
      "Points": 10
    },
    {
      "Id": 4,
      "Type": "word_problem",
      "Text": "A bookstore had a stock of 5,000 books. They sold 245 books each week for 4 weeks and then received a new shipment of 1,500. Calculate the current inventory. Show your working.",
      "Options": [],
      "Answer": "Step 1: Books sold in 4 weeks = 245 \u00D7 4\nStep 2: Total stock after sales = 5,000 - (245 \u00D7 4)\nStep 3: Current inventory after new shipment = (5,000 - 980) \u002B 1,500\nAnswer: 5,520 books",
      "Points": 10
    },
    {
      "Id": 5,
      "Type": "word_problem",
      "Text": "A rectangular garden has a length that is twice its width. If the perimeter of the garden is 300 meters, find the dimensions of the garden. Show your working.",
      "Options": [],
      "Answer": "Step 1: Let width = W, then length = 2W\nStep 2: Formula for perimeter = 2(length \u002B width) = 2(2W \u002B W)\nStep 3: 6W = 300\nStep 4: W = 300 / 6\nWidth = 50 meters, Length = 100 meters\nAnswer: Dimensions are 50 meters by 100 meters",
      "Points": 10
    },
    {
      "Id": 6,
      "Type": "word_problem",
      "Text": "A school fundraiser sells entry tickets at \u20B9 150 each and raffle tickets at \u20B9 25 each. If 240 entry tickets and 150 raffle tickets are sold, calculate the total revenue generated. Show your working.",
      "Options": [],
      "Answer": "Step 1: Revenue from entry tickets = 150 \u00D7 240\nStep 2: Revenue from raffle tickets = 25 \u00D7 150\nTotal revenue = (150 \u00D7 240) \u002B (25 \u00D7 150)\nAnswer: \u20B9 39,750",
      "Points": 10
    },
    {
      "Id": 7,
      "Type": "word_problem",
      "Text": "A car travels at a constant speed of 90 km/h. Calculate the distance traveled in 3 hours and 45 minutes. Show your working.",
      "Options": [],
      "Answer": "Step 1: Convert 45 minutes to hours = 45/60 = 0.75\nStep 2: Total time in hours = 3 \u002B 0.75 = 3.75\nStep 3: Distance = Speed \u00D7 Time\nDistance = 90 \u00D7 3.75\nAnswer: 337.5 km",
      "Points": 10
    },
    {
      "Id": 8,
      "Type": "word_problem",
      "Text": "A tank can be filled by a pipe in 4 hours and emptied by another pipe in 6 hours. If both pipes are opened together, how long will it take to fill the tank? Show your working.",
      "Options": [],
      "Answer": "Step 1: Rate of filling = 1/4 tank per hour\nStep 2: Rate of emptying = 1/6 tank per hour\nStep 3: Net rate = (1/4 - 1/6) tank per hour\nStep 4: Net rate = 1/12 tank per hour\nTime to fill = 1 / (1/12)\nAnswer: 12 hours",
      "Points": 10
    },
    {
      "Id": 9,
      "Type": "word_problem",
      "Text": "A grocer purchased a sack of rice weighing 60 kg. If he sells parts of it weighing 12.5 kg, 15 kg, and 23 kg, how much rice is left? Show your working.",
      "Options": [],
      "Answer": "Step 1: Total weight of rice sold = 12.5 \u002B 15 \u002B 23\nStep 2: Total weight of rice sold = 50.5 kg\nStep 3: Rice left = 60 - 50.5\nAnswer: 9.5 kg",
      "Points": 10
    },
    {
      "Id": 10,
      "Type": "word_problem",
      "Text": "An organization has a budget of \u20B9 2,00,000 for projects. If it spends \u20B9 52,750 on Project A, \u20B9 68,945 on Project B, and \u20B9 23,250 on Project C, how much budget remains? Show your working.",
      "Options": [],
      "Answer": "Step 1: Total expenditure = 52,750 \u002B 68,945 \u002B 23,250\nStep 2: Total expenditure = 1,44,945\nStep 3: Remaining budget = 2,00,000 - 1,44,945\nAnswer: \u20B9 55,055",
      "Points": 10
    }
  ],
  "TotalPoints": 100
}