{
  "Id": "0621537b-5802-4208-adf5-fd10c1d6ed52",
  "Title": "Mastering Large Numbers with Numeration Systems",
  "Subject": "Mathematics",
  "Topic": "Large Numbers and Numeration Systems",
  "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-01.pdf",
  "SessionMaterialId": "cfca3df3-8f20-4d40-9569-83948cd9a81b",
  "GeneratedAt": "2026-05-29T23:16:15.355772Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "The number 7,999,999 is greater than 8,988,999.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "The face value of 7 in 57689 is 70.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "There are four zeroes at the end of the number 10000.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "The smallest 9-digit number is 100,000,000.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "All Roman numeral systems up to MCM are equal to 2000.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "The place value of zero in any number is always zero.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "If you add one to 9,999,999, the result will have eight digits.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "Rounding off 3987 to the nearest thousands gives 4000.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "The Indian system of numeration includes \u0027lakhs\u0027 and \u0027crores\u0027.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "The predecessor of 100000 is 99999.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "What is the smallest number with 7 digits?",
      "Options": [
        "A. 1000000",
        "B. 999999",
        "C. 10000000",
        "D. 9999999"
      ],
      "Answer": "A. 1000000",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "Which numeral system uses \u0027million\u0027?",
      "Options": [
        "A. Indian",
        "B. International",
        "C. Roman",
        "D. None"
      ],
      "Answer": "B. International",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "The place value of 5 in 10506 is:",
      "Options": [
        "A. 50",
        "B. 500",
        "C. 5000",
        "D. 5"
      ],
      "Answer": "A. 50",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "The sum of the predecessor of the smallest 7-digit number and 1 is:",
      "Options": [
        "A. 999999",
        "B. 1000000",
        "C. 100000",
        "D. 9999999"
      ],
      "Answer": "B. 1000000",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "Which of the following is the largest 7-digit number?",
      "Options": [
        "A. 9999999",
        "B. 8888888",
        "C. 7777777",
        "D. 6666666"
      ],
      "Answer": "A. 9999999",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "The predecessor of 100000 is:",
      "Options": [
        "A. 99999",
        "B. 999999",
        "C. 100001",
        "D. 100000"
      ],
      "Answer": "A. 99999",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "What is the face value of the digit 5 in the number 775?",
      "Options": [
        "A. 50",
        "B. 5",
        "C. 500",
        "D. 5000"
      ],
      "Answer": "B. 5",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "The least number of zeroes at the end when rounded off to the nearest tens is:",
      "Options": [
        "A. 0",
        "B. 1",
        "C. 2",
        "D. 3"
      ],
      "Answer": "A. 0",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Form a number with 6 in the tens place and 9 in the lakhs place:",
      "Options": [
        "A. 906",
        "B. 960",
        "C. 9000006",
        "D. 960000"
      ],
      "Answer": "C. 9000006",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "The estimated sum of 3987 and 6759 rounded to the nearest 1000 is:",
      "Options": [
        "A. 10000",
        "B. 9000",
        "C. 11000",
        "D. 12000"
      ],
      "Answer": "B. 9000",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The largest 7-digit number is _______.",
      "Options": [],
      "Answer": "9999999",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The smallest 8-digit number is _______.",
      "Options": [],
      "Answer": "10000000",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "When 1 is added to the greatest 7-digit number, we get _______.",
      "Options": [],
      "Answer": "10000000",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "In Roman numerals, the value of LXXI is _______.",
      "Options": [],
      "Answer": "71",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "The place value of 1 in the number 1002 is _______.",
      "Options": [],
      "Answer": "1000",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The predecessor of 1000000 is _______.",
      "Options": [],
      "Answer": "999999",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "In the Indian system, one million is written as _______ lakhs.",
      "Options": [],
      "Answer": "10",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "The new price of a house after a ____% increase is calculated by multiplying the old price by 1.20.",
      "Options": [],
      "Answer": "20",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "In a cricket series, a player needs to score more than _______ runs to complete 1000 runs if he currently has 867.",
      "Options": [],
      "Answer": "133",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "A number that exceeds 8,945,675 by 300,867 is _______.",
      "Options": [],
      "Answer": "9256542",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "Round 535674 to the nearest tens, hundreds, and thousands. Write all three results.",
      "Options": [],
      "Answer": "Step 1: Round 535674 to the nearest ten = 535670\nStep 2: Round 535674 to the nearest hundred = 535700\nStep 3: Round 535674 to the nearest thousand = 536000",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "Calculate the difference between 89567 and 34589 rounded to the nearest hundreds.",
      "Options": [],
      "Answer": "Step 1: Round 89567 to the nearest hundred = 89600\nStep 2: Round 34589 to the nearest hundred = 34600\nStep 3: Calculate difference = 89600 - 34600\nAnswer: 55000",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "A man travels a total distance of 850 m back and forth from a hotel to Varkala beach. Calculate the total distance he travels in 10 days.",
      "Options": [],
      "Answer": "Step 1: Calculate single day travel = 850 m \u00D7 2 = 1700 m\nStep 2: Calculate 10 days travel = 1700 m \u00D7 10 = 17000 m\nAnswer: 17000 m",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A businessman invested ? 1,20,00,000 and made a profit of F1,20,000. Calculate his total investment after reinvesting the profit.",
      "Options": [],
      "Answer": "Step 1: Initial investment = 12000000\nStep 2: Profit reinvested = 120000\nStep 3: Total investment = 12000000 \u002B 120000\nAnswer: 12120000",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "Calculate the number of people who know swimming if 1 out of every 15 people in a city of 884,235 know how to swim.",
      "Options": [],
      "Answer": "Step 1: Population = 884235\nStep 2: Calculate swimmers = 884235 / 15\nAnswer: 58949",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "Find the total income from an auditorium with 1500 seats, having different ticket prices for each category.",
      "Options": [],
      "Answer": "Step 1: Calculate income from 300 seats = 300 \u00D7 7500 = 2250000\nStep 2: Calculate income from 400 seats = 400 \u00D7 7250 = 2900000\nStep 3: Calculate income from 700 seats = 700 \u00D7 7100 = 4970000\nStep 4: Remaining seats = 100\nStep 5: Calculate income from 100 seats = 100 \u00D7 750 = 75000\nAnswer: 2250000 \u002B 2900000 \u002B 4970000 \u002B 75000 = 10250000",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "Vanaja finished a race in 196 seconds and Sunantha in 182 seconds. Calculate how many seconds Vanaja was ahead.",
      "Options": [],
      "Answer": "Step 1: Vanaja\u0027s time = 196 seconds\nStep 2: Sunantha\u0027s time = 182 seconds\nStep 3: Calculate difference = 196 - 182\nAnswer: 14 seconds",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "Form the greatest 8-digit number with digits 0, 2, 3, 5, 7, 8, 9 and 1 making sure it\u0027s greater than 98273105.",
      "Options": [],
      "Answer": "Step 1: Arrange digits in descending order = 98753210\nStep 2: Verify number \u003E 98273105\nAnswer: 98753210",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "Multiply the estimated product of 3567 and 935 after rounding off to nearest hundreds. Explain over or under estimation.",
      "Options": [],
      "Answer": "Step 1: Round 3567 to nearest hundred = 3600\nStep 2: Round 935 to nearest hundred = 900\nStep 3: Calculate product = 3600 \u00D7 900\nAnswer: 3240000\nExplanation: Estimated product is less because rounded values were higher distances from original.",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "Determine the year an old building was built with the Roman numeral \u0027MCMXI\u0027.",
      "Options": [],
      "Answer": "Step 1: M = 1000\nStep 2: CM = 900\nStep 3: XI = 11\nStep 4: Sum = 1000 \u002B 900 \u002B 11\nAnswer: 1911",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}