{
  "Id": "0d82d24b-ca8a-4964-acf8-57ca4b9cedfc",
  "Title": "Integers Mastery: Number Line, Opposites, and Operations (Grade 6)",
  "Subject": "Mathematics",
  "Topic": "Integers: order, number line, opposites, absolute value, addition and subtraction",
  "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": "manual-input",
  "SessionMaterialId": "438c5847-105a-4f9a-bc68-a03c5ff296cd",
  "GeneratedAt": "2026-07-13T19:24:41.301689Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "Zero is its own additive inverse.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "The opposite of a negative integer is a positive integer.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "The absolute value of \u22129 is greater than the absolute value of 7.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "Moving left on the number line increases the value of an integer.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "The sum of two integers with the same sign has the same sign as the addends.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "The difference of any integer and zero is the integer itself.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "Subtraction of integers is commutative.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "There are exactly four integers strictly between \u22122 and 3.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "The absolute value of any integer is never negative.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "Adding \u22125 to an integer always makes it larger.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which integer is 6 units to the left of 3 on the number line?",
      "Options": [
        "A. 9",
        "B. \u22123",
        "C. 0",
        "D. 6"
      ],
      "Answer": "B. \u22123",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "What is the successor of \u22127?",
      "Options": [
        "A. \u22128",
        "B. \u22126",
        "C. 6",
        "D. 8"
      ],
      "Answer": "B. \u22126",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Which comparison is correct?",
      "Options": [
        "A. \u221212 \u003E \u22129",
        "B. \u22129 \u003E \u22127",
        "C. \u22125 \u003C \u22122",
        "D. 0 \u003C \u22121"
      ],
      "Answer": "C. \u22125 \u003C \u22122",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "Which integer has the least value?",
      "Options": [
        "A. \u22124",
        "B. \u221215",
        "C. 0",
        "D. 7"
      ],
      "Answer": "B. \u221215",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "If you start at \u22122 and move 9 steps to the right, where do you land?",
      "Options": [
        "A. \u221211",
        "B. 11",
        "C. 7",
        "D. \u22127"
      ],
      "Answer": "C. 7",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Which pair of integers are additive inverses?",
      "Options": [
        "A. \u22128 and 8",
        "B. 5 and 5",
        "C. 0 and 1",
        "D. \u22123 and \u22123"
      ],
      "Answer": "A. \u22128 and 8",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Which expression is equal to \u221214?",
      "Options": [
        "A. (\u22129) \u002B (\u22125)",
        "B. (\u221210) \u002B 3",
        "C. 20 \u2212 7",
        "D. (\u22126) \u2212 5"
      ],
      "Answer": "A. (\u22129) \u002B (\u22125)",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "The absolute value of \u221211 is",
      "Options": [
        "A. \u221211",
        "B. 11",
        "C. \u22121",
        "D. 0"
      ],
      "Answer": "B. 11",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Which situation represents a negative integer?",
      "Options": [
        "A. A balloon rises 12 meters",
        "B. A bank balance increases by 150 rupees",
        "C. A hiker descends 40 meters",
        "D. A temperature rises by 3\u00B0C"
      ],
      "Answer": "C. A hiker descends 40 meters",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "How many integers are there from \u22122 to 4 inclusive?",
      "Options": [
        "A. 5",
        "B. 6",
        "C. 7",
        "D. 8"
      ],
      "Answer": "C. 7",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The opposite of \u221213 is _____ .",
      "Options": [],
      "Answer": "13",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The integer 0 has an absolute value of _____ .",
      "Options": [],
      "Answer": "0",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "Moving 7 units to the left from 5 lands on _____ .",
      "Options": [],
      "Answer": "-2",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "The sum of \u22124 and 9 is _____ .",
      "Options": [],
      "Answer": "5",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "The additive inverse of 26 is _____ .",
      "Options": [],
      "Answer": "-26",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The integer that is 3 more than \u221212 is _____ .",
      "Options": [],
      "Answer": "-9",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "The result of 18 \u2212 (\u22125) is _____ .",
      "Options": [],
      "Answer": "23",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "The distance between \u22128 and 3 on the number line is _____ units.",
      "Options": [],
      "Answer": "11",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "The predecessor of 0 is _____ .",
      "Options": [],
      "Answer": "-1",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "The value of (\u22127) \u002B (\u22126) \u002B 4 is _____ .",
      "Options": [],
      "Answer": "-9",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "A city\u0027s temperature at 6 PM is \u22123\u00B0C. By midnight, it drops by 5\u00B0C. What is the temperature at midnight? Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute change: \u22123 \u2212 5 = \u22128\nStep 2: Interpret result as the midnight temperature\nAnswer: \u22128\u00B0C",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "A bank account has a balance of \u20B9120. Then \u20B9150 is withdrawn, and later \u20B940 is deposited. What is the final balance? Show your working.",
      "Options": [],
      "Answer": "Step 1: Net change = \u2212150 \u002B 40 = \u2212110\nStep 2: Final balance = 120 \u002B (\u2212110) = 10\nAnswer: \u20B910",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "An elevator is on floor 2 (ground is 0). It goes down 5 floors and then up 3 floors. Which floor is it on now? Show your working.",
      "Options": [],
      "Answer": "Step 1: Position after moves = 2 \u2212 5 \u002B 3\nStep 2: Calculate: 2 \u2212 5 = \u22123; \u22123 \u002B 3 = 0\nAnswer: Floor 0",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A submarine is at a depth of \u2212150 m. It dives 85 m more and then rises 120 m. What is its final depth? Show your working.",
      "Options": [],
      "Answer": "Step 1: Depth change = \u221285 \u002B 120 = 35\nStep 2: Final depth = \u2212150 \u002B 35 = \u2212115\nAnswer: \u2212115 m",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "In a game, a team earns 6 points, then loses 10 points, then earns 8 points. What is the net score change? Show your working.",
      "Options": [],
      "Answer": "Step 1: Net change = 6 \u2212 10 \u002B 8\nStep 2: Calculate: 6 \u2212 10 = \u22124; \u22124 \u002B 8 = 4\nAnswer: \u002B4 points",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "A hiker starts at sea level (0 m), climbs 35 m, descends 60 m, and then climbs 20 m. What is the final elevation relative to sea level? Show your working.",
      "Options": [],
      "Answer": "Step 1: Net elevation = 35 \u2212 60 \u002B 20\nStep 2: Compute: 35 \u2212 60 = \u221225; \u221225 \u002B 20 = \u22125\nAnswer: \u22125 m",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "On a number line, you start at \u22129, move 12 units right, then 7 units left. Where do you end up? Show your working.",
      "Options": [],
      "Answer": "Step 1: Final position = \u22129 \u002B 12 \u2212 7\nStep 2: Calculate: \u22129 \u002B 12 = 3; 3 \u2212 7 = \u22124\nAnswer: \u22124",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "A stock changes by \u002B3, \u22125, \u22124, and \u002B6 points in one day. What is the overall change by the end of the day? Show your working.",
      "Options": [],
      "Answer": "Step 1: Net change = 3 \u2212 5 \u2212 4 \u002B 6\nStep 2: Compute: 3 \u2212 5 = \u22122; \u22122 \u2212 4 = \u22126; \u22126 \u002B 6 = 0\nAnswer: 0 points",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "A mountain peak is at an elevation of \u002B2,345 m, and a nearby valley is at \u22121,280 m. What is the difference in elevation between them? Show your working.",
      "Options": [],
      "Answer": "Step 1: Difference = 2,345 \u2212 (\u22121,280)\nStep 2: Compute: 2,345 \u002B 1,280 = 3,625\nAnswer: 3,625 m",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "City X is 4\u00B0C in the afternoon and falls by 11\u00B0C by dawn. City Y is \u22122\u00B0C at 10 PM and falls by 6\u00B0C by dawn. Which city is colder at dawn, and by how many degrees? Show your working.",
      "Options": [],
      "Answer": "Step 1: City X dawn temp = 4 \u2212 11 = \u22127\u00B0C; City Y dawn temp = \u22122 \u2212 6 = \u22128\u00B0C\nStep 2: Compare: \u22128\u00B0C is 1\u00B0C lower than \u22127\u00B0C\nAnswer: City Y is colder by 1\u00B0C",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}