{
  "Id": "4c0082bb-fcef-461a-942f-fe1c73d19d23",
  "Title": "Challenging Whole Numbers Word Problems",
  "Subject": "Mathematics",
  "Topic": "Whole Numbers and Their Properties",
  "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": "2026-05-25T13:20:14.195594Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "word_problem",
      "Text": "A factory can produce 15,000 widgets per month. If the demand for the widgets increases by 20% each month, how many widgets will the factory need to produce in the third month to meet the demand? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the increase in demand for the first month: 15,000 \u00D7 0.20 = 3,000\nStep 2: Calculate the total demand for the second month: 15,000 \u002B 3,000 = 18,000\nStep 3: Calculate the increase in demand for the second month: 18,000 \u00D7 0.20 = 3,600\nStep 4: Calculate the total demand for the third month: 18,000 \u002B 3,600 = 21,600\nAnswer: 21,600 widgets",
      "Points": 10
    },
    {
      "Id": 2,
      "Type": "word_problem",
      "Text": "A large cargo ship has a capacity of 8,000,000 kilograms. If each container weighs 120,000 kilograms and the ship is 80% loaded, how many containers are on the ship? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the loaded weight: 8,000,000 \u00D7 0.80 = 6,400,000 kg\nStep 2: Calculate the number of containers: 6,400,000 \u00F7 120,000 = 53.33\nStep 3: Since only whole containers can be loaded, round down to the nearest whole number.\nAnswer: 53 containers",
      "Points": 10
    },
    {
      "Id": 3,
      "Type": "word_problem",
      "Text": "A classroom has 30 students, and each student needs 5 textbooks for different subjects. Two textbooks out of the required 5 were not available initially. If the school is now providing the remaining textbooks, how many textbooks are being distributed? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the total number of textbooks needed per student: 5 textbooks\nStep 2: Subtract the unavailable textbooks: 5 - 2 = 3 textbooks\nStep 3: Calculate the total number of textbooks distributed: 30 \u00D7 3 = 90\nAnswer: 90 textbooks",
      "Points": 10
    },
    {
      "Id": 4,
      "Type": "word_problem",
      "Text": "A gardener plants rows of trees with each row containing 48 trees. She plans to plant 5 such rows but removes 8 trees from the last row. How many trees does she plant in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the total number of trees in 5 full rows: 5 \u00D7 48 = 240\nStep 2: Adjust for the 8 trees removed: 240 - 8 = 232\nAnswer: 232 trees",
      "Points": 10
    },
    {
      "Id": 5,
      "Type": "word_problem",
      "Text": "A bus travels 120 km in 1.5 hours. If it maintains the same speed, how far will it travel in 5 hours? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the speed of the bus: 120 \u00F7 1.5 = 80 km/h\nStep 2: Calculate the distance for 5 hours: 80 \u00D7 5 = 400 km\nAnswer: 400 km",
      "Points": 10
    },
    {
      "Id": 6,
      "Type": "word_problem",
      "Text": "A company packages juice in boxes, each box containing 24 bottles. The company receives an order for 50 boxes, but later the buyer cancels 10 boxes. How many bottles are in the final order? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the initial number of bottles: 50 \u00D7 24 = 1,200\nStep 2: Calculate the reduction due to cancellation: 10 \u00D7 24 = 240\nStep 3: Calculate the final number of bottles: 1,200 - 240 = 960\nAnswer: 960 bottles",
      "Points": 10
    },
    {
      "Id": 7,
      "Type": "word_problem",
      "Text": "A train travels at a speed of 72 km/h and needs to cover a distance of 648 km. How long will it take the train to complete the journey? Show your working.",
      "Options": [],
      "Answer": "Step 1: Use the formula Time = Distance / Speed\nStep 2: Calculate the time required: 648 \u00F7 72 = 9 hours\nAnswer: 9 hours",
      "Points": 10
    },
    {
      "Id": 8,
      "Type": "word_problem",
      "Text": "A tank can hold 4,500 liters of water. If 1/5 of the tank is empty, how much water is currently in the tank? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the empty portion of the tank: 4,500 \u00D7 1/5 = 900 liters\nStep 2: Calculate the filled portion: 4,500 - 900 = 3,600 liters\nAnswer: 3,600 liters",
      "Points": 10
    },
    {
      "Id": 9,
      "Type": "word_problem",
      "Text": "If 9 labourers can finish a job in 12 days, how many days will it take for 6 labourers to finish the same job, assuming they work at the same rate? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the total amount of labour necessary (men-days): 9 \u00D7 12 = 108 men-days\nStep 2: Calculate the number of days required for 6 labourers: 108 \u00F7 6 = 18\nAnswer: 18 days",
      "Points": 10
    },
    {
      "Id": 10,
      "Type": "word_problem",
      "Text": "A car dealership offers two types of financing: 5% simple interest for 2 years or 3% simple interest for 4 years. If a customer plans to make a purchase of 5,00,000, which financing option requires them to pay less interest? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate the interest for the first option: 5,00,000 \u00D7 0.05 \u00D7 2 = 50,000\nStep 2: Calculate the interest for the second option: 5,00,000 \u00D7 0.03 \u00D7 4 = 60,000\nStep 3: Compare the interest amounts.\nAnswer: The first option requires less interest (50,000 vs 60,000).",
      "Points": 10
    }
  ],
  "TotalPoints": 100
}