{
  "Id": "646b4838-6e53-4097-900b-02e8cc921c80",
  "Title": "Whole Numbers and Their Properties: Advanced 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": "2026-05-24T22:43:16.997912Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "word_problem",
      "Text": "Raj bought 119 pieces of fabric for \u20B9 3,567 each. Later, he returned 19 pieces and received a refund. Calculate the total amount spent after the refund.",
      "Options": [],
      "Answer": "Step 1: Total cost of 119 pieces = 119 \u00D7 3,567\nStep 2: Total refund for 19 pieces = 19 \u00D7 3,567\nStep 3: Total spent = (119 \u00D7 3,567) - (19 \u00D7 3,567)\nAnswer: \u20B9 3,57,648",
      "Points": 10
    },
    {
      "Id": 2,
      "Type": "word_problem",
      "Text": "Amal supplies 15 litres of milk daily at \u20B9 30 per litre. Calculate his total earnings in one week.",
      "Options": [],
      "Answer": "Step 1: Daily earnings = 15 \u00D7 30\nStep 2: Weekly earnings = Daily earnings \u00D7 7\nAnswer: \u20B9 3,150",
      "Points": 10
    },
    {
      "Id": 3,
      "Type": "word_problem",
      "Text": "Raman incurs a daily travel expense of \u20B9 150. Calculate the total expense for the month of June, which has 30 days.",
      "Options": [],
      "Answer": "Step 1: Daily travel expense = 150\nStep 2: June travel expense = 150 \u00D7 30\nAnswer: \u20B9 4,500",
      "Points": 10
    },
    {
      "Id": 4,
      "Type": "word_problem",
      "Text": "Sonu attends music class 4 days a week and Manu 3 days a week. Find the total number of class days in a year if they continue their schedules.",
      "Options": [],
      "Answer": "Step 1: Sonu\u0027s yearly classes = 4 \u00D7 52\nStep 2: Manu\u0027s yearly classes = 3 \u00D7 52\nStep 3: Total class days = 4 \u00D7 52 \u002B 3 \u00D7 52\nAnswer: 364 days",
      "Points": 10
    },
    {
      "Id": 5,
      "Type": "word_problem",
      "Text": "Arun spends \u20B9 55 on lunch and \u20B9 40 on dinner daily. Find his weekly expenditure on both, and verify using the Distributive Property.",
      "Options": [],
      "Answer": "Step 1: Daily total expenditure = 55 \u002B 40\nStep 2: Weekly expenditure = (55 \u002B 40) \u00D7 7\nStep 3: Verification using distributive property: Weekly expenditure = (55 \u00D7 7) \u002B (40 \u00D7 7)\nAnswer: \u20B9 665",
      "Points": 10
    },
    {
      "Id": 6,
      "Type": "word_problem",
      "Text": "Calculate the product of the greatest 3-digit number and the greatest 2-digit number using the most suitable property.",
      "Options": [],
      "Answer": "Step 1: Greatest 3-digit number = 999\nStep 2: Greatest 2-digit number = 99\nStep 3: Product = 999 \u00D7 99\nAnswer: \u20B9 98,901",
      "Points": 10
    },
    {
      "Id": 7,
      "Type": "word_problem",
      "Text": "A teacher asks to find the successor and predecessor of the number 8,06,998. Calculate their sum.",
      "Options": [],
      "Answer": "Step 1: Predecessor = 8,06,997\nStep 2: Successor = 8,06,999\nStep 3: Sum of predecessor and successor = 8,06,997 \u002B 8,06,999\nAnswer: \u20B9 16,13,996",
      "Points": 10
    },
    {
      "Id": 8,
      "Type": "word_problem",
      "Text": "If the successor of a number is 8,07,000, find the original number.",
      "Options": [],
      "Answer": "Step 1: Let the number be x\nStep 2: Successor of x = x \u002B 1 = 8,07,000\nStep 3: x = 8,07,000 - 1\nAnswer: \u20B9 8,06,999",
      "Points": 10
    },
    {
      "Id": 9,
      "Type": "word_problem",
      "Text": "Use properties of whole numbers to rearrange and simplify the expression 703 \u002B 768 \u002B 297 \u002B 322.",
      "Options": [],
      "Answer": "Step 1: Group numbers as (703 \u002B 297) \u002B (768 \u002B 322)\nStep 2: Simplify inside brackets: 1,000 \u002B 1,090\nStep 3: Sum = 1,000 \u002B 1,090\nAnswer: \u20B9 2,090",
      "Points": 10
    },
    {
      "Id": 10,
      "Type": "word_problem",
      "Text": "Find the application of the Commutative Property in this scenario: (18 \u002B 5 - 5) and verify using whole number properties.",
      "Options": [],
      "Answer": "Step 1: Evaluate inside bracket: 18 \u002B (5 - 5)\nStep 2: Result is same as: (18 \u002B 0)\nStep 3: Application of commutative property: 18 = 18\nAnswer: 18",
      "Points": 10
    }
  ],
  "TotalPoints": 100
}