{
  "Id": "626e08aa-8b97-41bb-accc-3f74d2a69d7a",
  "Title": "Whole Numbers Exploration Worksheet",
  "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": "2026-05-31T13:02:35.433362Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "Counting numbers have meaning only when referring to specific objects.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "Zero is not used when counting discrete objects.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "Every whole number has a successor.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "The additive identity of whole numbers is 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "1 is the only number that is simultaneously a power of both 2 and 3.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "The associative property applies to addition of whole numbers.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "Multiplication of whole numbers is always commutative.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "Subtraction of whole numbers is commutative.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "Division of whole numbers is commutative.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "The successor of a whole number is always greater than the original number.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "How many whole numbers are smaller than 8?",
      "Options": [
        "A. 7",
        "B. 8",
        "C. 6",
        "D. 5"
      ],
      "Answer": "A. 7",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "What is the additive identity of whole numbers?",
      "Options": [
        "A. 0",
        "B. 1",
        "C. 2",
        "D. 3"
      ],
      "Answer": "A. 0",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Which number is simultaneously a power of both 2 and 3?",
      "Options": [
        "A. 1",
        "B. 0",
        "C. 2",
        "D. 6"
      ],
      "Answer": "A. 1",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "What is the successor of the smallest whole number?",
      "Options": [
        "A. 1",
        "B. 2",
        "C. 0",
        "D. 3"
      ],
      "Answer": "A. 1",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "What is the successor of 8,06,998?",
      "Options": [
        "A. 8,07,000",
        "B. 8,06,998",
        "C. 8,06,999",
        "D. 8,06,997"
      ],
      "Answer": "C. 8,06,999",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Which property is demonstrated by the equation 2 \u002B 4 = 4 \u002B 2?",
      "Options": [
        "A. Associative",
        "B. Commutative",
        "C. Distributive",
        "D. Closure"
      ],
      "Answer": "B. Commutative",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Which property is used in the expression 64 \u00D7 12 \u002B 64 \u00D7 14?",
      "Options": [
        "A. Distributive",
        "B. Commutative",
        "C. Associative",
        "D. Closure"
      ],
      "Answer": "A. Distributive",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "Which pattern is often observed in whole numbers?",
      "Options": [
        "A. Arithmetic sequence",
        "B. Geometric sequence",
        "C. Exponential growth",
        "D. Harmonic sequence"
      ],
      "Answer": "A. Arithmetic sequence",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Which property allows rearranging numbers in multiplication?",
      "Options": [
        "A. Commutative",
        "B. Associative",
        "C. Distributive",
        "D. Identity"
      ],
      "Answer": "A. Commutative",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "Which operation among whole numbers is not commutative?",
      "Options": [
        "A. Addition",
        "B. Multiplication",
        "C. Subtraction",
        "D. Counting"
      ],
      "Answer": "C. Subtraction",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The set of numbers used for counting is known as _____ .",
      "Options": [],
      "Answer": "whole numbers",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The number 0 is often referred to as the _____ element in addition.",
      "Options": [],
      "Answer": "identity",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "When 8,06,998 is increased by one, it becomes _____ .",
      "Options": [],
      "Answer": "8,06,999",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "The number that comes immediately after a given whole number is its _____ .",
      "Options": [],
      "Answer": "successor",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "The result of adding two numbers is called their _____ .",
      "Options": [],
      "Answer": "sum",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "In the expression 64 \u00D7 (12 \u002B 14), the _____ property is applied.",
      "Options": [],
      "Answer": "distributive",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Every whole number has a _____ which comes immediately before it.",
      "Options": [],
      "Answer": "predecessor",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "Subtraction is not a _____ operation.",
      "Options": [],
      "Answer": "commutative",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "We do not use 0 for _____ since it represents the absence of quantity.",
      "Options": [],
      "Answer": "counting",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "The _____ property allows numbers to be regrouped during addition.",
      "Options": [],
      "Answer": "associative",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "If there are 25 students in a class and each student has 2 pencils, how many pencils are there in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply the number of students by the number of pencils per student.\nStep 2: 25 \u00D7 2\nAnswer: 50 pencils",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "A school has three sections with 4, 5, and 6 teachers respectively. What is the total number of teachers? Show your working.",
      "Options": [],
      "Answer": "Step 1: Add the number of teachers in each section.\nStep 2: 4 \u002B 5 \u002B 6\nAnswer: 15 teachers",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "In a test with 40 questions, if each wrong answer deducts 1 mark, how many marks are deducted when all answers are wrong? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply the number of questions by the deduction per question.\nStep 2: 40 \u00D7 1\nAnswer: 40 marks deducted",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "If you had 2 chocolates and gave both away, how many chocolates would you have left? Show your working.",
      "Options": [],
      "Answer": "Step 1: Start with the total number of chocolates.\nStep 2: Subtract the number given away: 2 - 2\nAnswer: 0 chocolates",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "Using the distributive property, calculate 102 \u00D7 6 by breaking 102 into 100 and 2. Show your working.",
      "Options": [],
      "Answer": "Step 1: Express 102 as 100 \u002B 2\nStep 2: Calculate 100 \u00D7 6 \u002B 2 \u00D7 6\nAnswer: 600 \u002B 12 = 612",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "A shop sells oranges at 3 units each. How much would 15 oranges cost? Show your working.",
      "Options": [],
      "Answer": "Step 1: Identify the cost per orange.\nStep 2: Multiply the cost by the number of oranges: 15 \u00D7 3\nAnswer: 45 units",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "Amal supplies 15 litres of milk daily at a rate of 30 per litre. How much does he earn in a week? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate daily earnings: 15 \u00D7 30\nStep 2: Multiply by 7 for a week: (15 \u00D7 30) \u00D7 7\nAnswer: 3150",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "Raman incurs a daily travel expense of 150. How much does he spend in the month of June (30 days)? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply the daily expense by 30.\nStep 2: 150 \u00D7 30\nAnswer: 4500",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "Sonu attends music class 4 days a week and Manu attends 3 days a week. Calculate the total number of days they attend in a year (assume 52 weeks). Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate weekly attendance: 4 \u002B 3 = 7 days\nStep 2: Multiply by 52: 7 \u00D7 52\nAnswer: 364 days",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "Using the distributive property, compute (15 - 3) \u00D7 20 by expanding the expression. Show your working.",
      "Options": [],
      "Answer": "Step 1: Expand the expression to 15\u00D720 - 3\u00D720\nStep 2: Compute the values: 300 - 60\nAnswer: 240",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}