{
  "Id": "595bed95-8cdb-40fc-9cf5-befb825158b8",
  "Title": "Whole Numbers: Properties, Operations, and Patterns \u2014 Grade 6 Review",
  "Subject": "Mathematics",
  "Topic": "Whole Numbers: introduction, properties, successors/predecessors, and patterns",
  "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": "2026-05-29T23:35:37.058926Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "Whole numbers include zero.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "In this chapter, natural numbers do not include zero.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "Whole numbers are closed under addition and multiplication.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "Whole numbers are commutative under subtraction.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "Whole numbers are commutative under division.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "The additive identity for whole numbers is 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "The multiplicative identity for whole numbers is 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "13 \u002B 8 = 8 \u002B 13.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "13 \u00D7 0 = 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "The successor of the smallest whole number is 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "How many whole numbers are smaller than 8?",
      "Options": [
        "A. 6",
        "B. 7",
        "C. 8",
        "D. 9"
      ],
      "Answer": "C. 8",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "The additive identity of whole numbers is:",
      "Options": [
        "A. 1",
        "B. 0",
        "C. 2",
        "D. 3"
      ],
      "Answer": "B. 0",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Which number is a power of both 2 and 3?",
      "Options": [
        "A. 1",
        "B. 0",
        "C. 2",
        "D. 3"
      ],
      "Answer": "A. 1",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "The successor of the smallest whole number is:",
      "Options": [
        "A. 0",
        "B. 1",
        "C. 2",
        "D. 3"
      ],
      "Answer": "B. 1",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "Find the successor of 8,06,998.",
      "Options": [
        "A. 8,07,000",
        "B. 8,06,999",
        "C. 8,06,998",
        "D. 8,06,997"
      ],
      "Answer": "B. 8,06,999",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Which property is illustrated by 291 \u00D7 (125 \u00D7 8)?",
      "Options": [
        "A. Associative property",
        "B. Closure property",
        "C. Commutative property",
        "D. Distributive property"
      ],
      "Answer": "A. Associative property",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Find the sum of the predecessors of 84,636 and 90,025.",
      "Options": [
        "A. 1,74,662",
        "B. 1,74,661",
        "C. 1,74,669",
        "D. 1,74,659"
      ],
      "Answer": "D. 1,74,659",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "Which pair represents square numbers?",
      "Options": [
        "A. 2 \u00D7 2, 1 \u00D7 2",
        "B. 2 \u00D7 2, 3 \u00D7 3",
        "C. 1 \u00D7 3, 4 \u00D7 4",
        "D. 2 \u00D7 3, 4 \u00D7 2"
      ],
      "Answer": "B. 2 \u00D7 2, 3 \u00D7 3",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Which of the following is not a natural number (with natural numbers starting at 1)?",
      "Options": [
        "A. 8 \u00D7 6 \u00F7 2",
        "B. 3 \u00D7 4 \u2212 4 \u00D7 3",
        "C. 20 \u002B 24 \u2212 2",
        "D. 18 \u002B 5 \u2212 5"
      ],
      "Answer": "B. 3 \u00D7 4 \u2212 4 \u00D7 3",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "Choose the correct use of the distributive property: 64 \u00D7 12 \u002B 64 \u00D7 14 =",
      "Options": [
        "A. 12 \u00D7 (64 \u002B 14)",
        "B. 64 \u00D7 (12 \u002B 14)",
        "C. 14 \u00D7 (64 \u002B 12)",
        "D. 12 \u00D7 (64 \u002B 64)"
      ],
      "Answer": "B. 64 \u00D7 (12 \u002B 14)",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The smallest whole number is _____.",
      "Options": [],
      "Answer": "0",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The successor of 0 is _____.",
      "Options": [],
      "Answer": "1",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "The predecessor of 2,997 is _____.",
      "Options": [],
      "Answer": "2,996",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "The successor of 8,06,998 is _____.",
      "Options": [],
      "Answer": "8,06,999",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "The additive identity for whole numbers is _____.",
      "Options": [],
      "Answer": "0",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The multiplicative identity for whole numbers is _____.",
      "Options": [],
      "Answer": "1",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Writing 102 \u00D7 6 as (100 \u002B 2) \u00D7 6 uses the _____ property.",
      "Options": [],
      "Answer": "distributive",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "The equality 2 \u002B 4 = 4 \u002B 2 shows the _____ property of addition.",
      "Options": [],
      "Answer": "commutative",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "291 \u00D7 (125 \u00D7 8) = (291 \u00D7 125) \u00D7 8 illustrates the _____ property of multiplication.",
      "Options": [],
      "Answer": "associative",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "Numbers used for counting (1, 2, 3, ...) are called _____ numbers.",
      "Options": [],
      "Answer": "natural",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "Amal supplies 15 litres of milk daily at \u20B930 per litre. How much does he earn in a week? Show your working.",
      "Options": [],
      "Answer": "Step 1: Daily earning = 15 \u00D7 30 = 450\nStep 2: Weekly earning = 450 \u00D7 7 = 3,150\nAnswer: \u20B93,150",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "Raman incurs a daily travel expense of \u20B9150 going to and from his office. How much does he spend on travel in the month of June?",
      "Options": [],
      "Answer": "Step 1: Days in June = 30\nStep 2: Total expense = 150 \u00D7 30 = 4,500\nAnswer: \u20B94,500",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "Sonu goes to music class four days a week and Manu goes three days a week. Calculate the total number of days they attend the class in a year (52 weeks).",
      "Options": [],
      "Answer": "Step 1: Sonu\u0027s days per year = 4 \u00D7 52 = 208\nStep 2: Manu\u0027s days per year = 3 \u00D7 52 = 156\nStep 3: Total days = 208 \u002B 156 = 364\nAnswer: 364 days",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "Find the product of the greatest 3-digit number and the greatest 2-digit number using a suitable property.",
      "Options": [],
      "Answer": "Step 1: Greatest 3-digit = 999; Greatest 2-digit = 99\nStep 2: 999 \u00D7 99 = 999 \u00D7 (100 \u2212 1)\nStep 3: = 99,900 \u2212 999 = 98,901\nAnswer: 98,901",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "Evaluate 64 \u00D7 12 \u002B 64 \u00D7 14 using the distributive property.",
      "Options": [],
      "Answer": "Step 1: 64 \u00D7 12 \u002B 64 \u00D7 14 = 64 \u00D7 (12 \u002B 14)\nStep 2: 12 \u002B 14 = 26\nStep 3: 64 \u00D7 26 = 64 \u00D7 20 \u002B 64 \u00D7 6 = 1,280 \u002B 384 = 1,664\nAnswer: 1,664",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "Find the sum by grouping: 703 \u002B 768 \u002B 297 \u002B 322.",
      "Options": [],
      "Answer": "Step 1: Group as (703 \u002B 297) \u002B (768 \u002B 322)\nStep 2: 703 \u002B 297 = 1,000; 768 \u002B 322 = 1,090\nStep 3: 1,000 \u002B 1,090 = 2,090\nAnswer: 2,090",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "Verify the property (a \u00D7 b) \u00D7 c = (b \u00D7 a) \u00D7 c by taking a = 1, b = 3, c = 2. Show both sides.",
      "Options": [],
      "Answer": "Step 1: (1 \u00D7 3) \u00D7 2 = 3 \u00D7 2 = 6\nStep 2: (3 \u00D7 1) \u00D7 2 = 3 \u00D7 2 = 6\nStep 3: Both sides are equal\nAnswer: Property holds (both sides equal 6)",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "Find the sum of the predecessors of 84,636 and 90,025.",
      "Options": [],
      "Answer": "Step 1: Predecessor of 84,636 = 84,635; Predecessor of 90,025 = 90,024\nStep 2: Sum = 84,635 \u002B 90,024\nStep 3: 84,635 \u002B 90,024 = 1,74,659\nAnswer: 1,74,659",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "How many whole numbers are smaller than 8? Show how you count them.",
      "Options": [],
      "Answer": "Step 1: Whole numbers from 0 up to 7 are: 0, 1, 2, 3, 4, 5, 6, 7\nStep 2: Count them = 8 numbers\nAnswer: 8",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "Raj bought 119 pieces of a fabric for \u20B93,567 each. He returned 19 pieces for a full refund. What is his net spending?",
      "Options": [],
      "Answer": "Step 1: Net pieces kept = 119 \u2212 19 = 100\nStep 2: Net amount = 3,567 \u00D7 100\nStep 3: 3,567 \u00D7 100 = 356,700\nAnswer: \u20B9356,700",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}