{
  "Id": "d9e5357d-f9fe-471b-a952-05e9e1df2804",
  "Title": "Exploring Numbers and Numeration Systems Worksheet",
  "Subject": "Mathematics",
  "Topic": "Large Numbers, Numeration Systems, and Estimation",
  "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": "2026-05-31T13:08:20.859622Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "The number 9999989 is less than 9999999.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "Adding 1 to the greatest 7-digit number results in an 8-digit number.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "The Indian and International systems of numeration use the same comma placements.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "Rounding off a number to the nearest hundreds always increases its value.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "The Roman numeral MCMXI represents the year 1911.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "The face value of a digit is always equal to its place value in the number.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "Zero acts as a placeholder in large numbers.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "Rounding off can sometimes lead to a result greater than the actual sum.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "The predecessor of the smallest 7-digit number, when added with 1, gives the smallest 7-digit number.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "Round-off estimation is not useful in everyday calculations.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "What is the smallest 7-digit number?",
      "Options": [
        "A. 1000000",
        "B. 999999",
        "C. 10000000",
        "D. 9999999"
      ],
      "Answer": "A. 1000000",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "What is the greatest 7-digit number?",
      "Options": [
        "A. 9999999",
        "B. 10000000",
        "C. 8999999",
        "D. 7999999"
      ],
      "Answer": "A. 9999999",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "In the Indian numeral system, 1,00,00,000 is commonly known as:",
      "Options": [
        "A. One crore",
        "B. Ten million",
        "C. One hundred lakh",
        "D. Both A and C"
      ],
      "Answer": "D. Both A and C",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "According to the chapter, what is the predecessor of 100000?",
      "Options": [
        "A. 99999",
        "B. 999999",
        "C. 100001",
        "D. 1000000"
      ],
      "Answer": "A. 99999",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "What is the place value of 5 in 10506?",
      "Options": [
        "A. 50",
        "B. 500",
        "C. 5000",
        "D. 5"
      ],
      "Answer": "C. 5000",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Adding 1 to the greatest 7-digit number gives you the smallest _____-digit number.",
      "Options": [
        "A. 7",
        "B. 8",
        "C. 9",
        "D. 10"
      ],
      "Answer": "B. 8",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "In Roman numerals, the numeral IX represents:",
      "Options": [
        "A. 1",
        "B. 9",
        "C. 10",
        "D. 11"
      ],
      "Answer": "B. 9",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "Rounding 535674 to the nearest hundred results in:",
      "Options": [
        "A. 535700",
        "B. 535600",
        "C. 535674",
        "D. 536000"
      ],
      "Answer": "A. 535700",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Which of the following best describes the process of estimating large numbers by rounding?",
      "Options": [
        "A. Exact calculation",
        "B. Approximation",
        "C. Overestimation",
        "D. Underestimation"
      ],
      "Answer": "B. Approximation",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "What does the process of converting a Roman numeral to its numeric form involve?",
      "Options": [
        "A. Addition only",
        "B. Subtraction only",
        "C. Both addition and subtraction",
        "D. Multiplication"
      ],
      "Answer": "C. Both addition and subtraction",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The number obtained by adding 1 to the greatest 7-digit number is _____.",
      "Options": [],
      "Answer": "10000000",
      "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": "The smallest 9-digit number is _____.",
      "Options": [],
      "Answer": "100000000",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "In the Indian numbering system, 1,00,00,000 is called _____.",
      "Options": [],
      "Answer": "one crore",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "The place value of 5 in 10506 is _____.",
      "Options": [],
      "Answer": "5000",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The Roman numeral for 1911 is _____.",
      "Options": [],
      "Answer": "MCMXI",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "In rounding off numbers, if the digit to the right is 5 or more, you round _____.",
      "Options": [],
      "Answer": "up",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "Writing numbers in _____ order helps in identifying the smallest and largest numbers.",
      "Options": [],
      "Answer": "ascending",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "Rounding 535674 to the nearest hundred gives _____.",
      "Options": [],
      "Answer": "535700",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "In the international numeral system, 1000000 is known as _____.",
      "Options": [],
      "Answer": "one million",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "Add 7834567, 893600678, and 1035678. Show your working.",
      "Options": [],
      "Answer": "Step 1: Add 7834567 and 1035678 to get 8870245\nStep 2: Add 8870245 and 893600678 to get 902470923\nAnswer: 902470923",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "Find the sum of the greatest 8-digit number and the smallest 5-digit number. Show your working.",
      "Options": [],
      "Answer": "Step 1: Identify numbers: 99999999 and 10000\nStep 2: Sum = 99999999 \u002B 10000\nAnswer: 100009999",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "Estimate the difference between 89567 and 34589 when both are rounded to the nearest hundreds. Show your working.",
      "Options": [],
      "Answer": "Step 1: Round 89567 to 89600 and 34589 to 34600\nStep 2: Calculate difference: 89600 - 34600\nAnswer: 55000",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A man travels from a hotel to Varkala beach 850 m away and returns. Calculate the total distance traveled in 10 days if he makes one round trip per day. Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate daily round trip: 850 x 2 = 1700 m\nStep 2: Multiply by 10 days: 1700 x 10\nAnswer: 17000 m",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "A house priced at \u20B932,56,358 increases by 20 times the next year. Find its new price. Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply \u20B932,56,358 by 20\nStep 2: 3256358 x 20 = 65127160\nAnswer: \u20B965,127,160",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "A businessman invested \u20B91,20,00,000 and earned a profit of \u20B91,20,000. If he reinvests the profit, what is his total investment? Show your working.",
      "Options": [],
      "Answer": "Step 1: Identify investment: 12000000 and profit: 120000\nStep 2: Total = 12000000 \u002B 120000\nAnswer: 12120000",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "Vanaja completed a 1 km race in 96 seconds and Sunantha in 188 seconds. By how many seconds was Vanaja ahead? Show your working.",
      "Options": [],
      "Answer": "Step 1: Subtract Vanaja\u0027s time from Sunantha\u0027s time\nStep 2: 188 - 96 = 92\nAnswer: 92 seconds",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "Roy rounded 3567 and 935 to the nearest hundreds and multiplied them. What is the estimated product? Show your working.",
      "Options": [],
      "Answer": "Step 1: Round 3567 to 3600 and 935 to 900\nStep 2: Multiply rounded numbers: 3600 x 900\nAnswer: 3240000",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "Verify the place value calculation for the digit 5 in 21865734. Show your working.",
      "Options": [],
      "Answer": "Step 1: Identify digit 5 in number 21865734 (thousands place)\nStep 2: Calculate place value: 5 x 1000 = 5000\nAnswer: 5000",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "Convert the Roman numeral \u0027MCMXI\u0027 to its numeric value. Show your working.",
      "Options": [],
      "Answer": "Step 1: Interpret M as 1000, CM as 900, and XI as 11\nStep 2: Add values: 1000 \u002B 900 \u002B 11\nAnswer: 1911",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}