{
  "Id": "ae671cd9-4cd9-4837-a3a8-dd4e85ec8d02",
  "Title": "Integers Mastery: Number Lines, Order, and Operations (Grade 6)",
  "Subject": "Mathematics",
  "Topic": "Integers: number line, ordering, and operations",
  "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": "2026-07-13T19:26:50.295327Z",
  "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 absolute value of any integer is always positive.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "Moving left on a number line decreases the value of an integer.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "The sum of two odd negative integers is a negative even integer.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "The difference of two equal integers is zero.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "-3 is greater than -1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "The product of a positive and a negative integer is positive.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "The opposite of the predecessor of 2 is -1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "Any integer added to zero remains unchanged.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "There are infinitely many integers between 0 and 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which integer has the greatest value?",
      "Options": [
        "A. -7",
        "B. -3",
        "C. -12",
        "D. -5"
      ],
      "Answer": "B. -3",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "Which integer is 7 units to the left of 0 on the number line?",
      "Options": [
        "A. 7",
        "B. -7",
        "C. 0",
        "D. 1"
      ],
      "Answer": "B. -7",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "The successor of -9 is",
      "Options": [
        "A. -10",
        "B. -8",
        "C. 8",
        "D. 10"
      ],
      "Answer": "B. -8",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "How many integers are strictly between -3 and 2?",
      "Options": [
        "A. 3",
        "B. 4",
        "C. 5",
        "D. 6"
      ],
      "Answer": "B. 4",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "Which integer best represents a deposit of \u20B9350?",
      "Options": [
        "A. -350",
        "B. 0",
        "C. 350",
        "D. 35"
      ],
      "Answer": "C. 350",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Start at -2 and move 6 steps to the right. Where do you land?",
      "Options": [
        "A. -8",
        "B. 4",
        "C. 6",
        "D. -4"
      ],
      "Answer": "B. 4",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Evaluate (-5) \u002B (-7).",
      "Options": [
        "A. -12",
        "B. 12",
        "C. -2",
        "D. 2"
      ],
      "Answer": "A. -12",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "Evaluate 18 - (-9).",
      "Options": [
        "A. 9",
        "B. 27",
        "C. -9",
        "D. -27"
      ],
      "Answer": "B. 27",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "The opposite of -14 is",
      "Options": [
        "A. -14",
        "B. 0",
        "C. 14",
        "D. 1"
      ],
      "Answer": "C. 14",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "Which list is ordered from least to greatest?",
      "Options": [
        "A. -5, -2, 0, 3",
        "B. 3, 0, -2, -5",
        "C. -2, -5, 0, 3",
        "D. 0, -5, -2, 3"
      ],
      "Answer": "A. -5, -2, 0, 3",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The integer located 10 units to the right of 0 is _____.",
      "Options": [],
      "Answer": "10",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The additive inverse of 23 is _____.",
      "Options": [],
      "Answer": "-23",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "The absolute value | -12 | equals _____.",
      "Options": [],
      "Answer": "12",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "A withdrawal of $45 can be represented by the integer _____.",
      "Options": [],
      "Answer": "-45",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "To subtract an integer, you add its _____.",
      "Options": [],
      "Answer": "additive inverse",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The predecessor of 0 is _____.",
      "Options": [],
      "Answer": "-1",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "The sum -8 \u002B 3 \u002B -4 equals _____.",
      "Options": [],
      "Answer": "-9",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "The integer between -1 and 1 is _____.",
      "Options": [],
      "Answer": "0",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "If the temperature rises from -6\u00B0C to 5\u00B0C, the change is _____ degrees.",
      "Options": [],
      "Answer": "11",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "The opposite of the opposite of -3 is _____.",
      "Options": [],
      "Answer": "-3",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "A bank account has a balance of $120. The owner makes a purchase of $75 and later deposits $40. What is the new balance? Show your working.",
      "Options": [],
      "Answer": "Step 1: Model the changes: 120 - 75 \u002B 40\nStep 2: 120 - 75 = 45\nStep 3: 45 \u002B 40 = 85\nAnswer: $85",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "An elevator is at floor -2. It goes up 9 floors, then down 4 floors. Which floor is it on now? Show your working.",
      "Options": [],
      "Answer": "Step 1: Start at -2 and add the moves: -2 \u002B 9 - 4\nStep 2: -2 \u002B 9 = 7\nStep 3: 7 - 4 = 3\nAnswer: Floor 3",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "In a city, the morning temperature is -3\u00B0C. It drops by 7\u00B0C by noon, then rises by 5\u00B0C in the afternoon. What is the final temperature? Show your working.",
      "Options": [],
      "Answer": "Step 1: Combine changes: -3 - 7 \u002B 5\nStep 2: -3 - 7 = -10\nStep 3: -10 \u002B 5 = -5\nAnswer: -5\u00B0C",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A hiker stands at 250 m above sea level and descends 420 m into a canyon. What is the elevation relative to sea level after the descent? Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute final elevation: 250 - 420\nStep 2: 250 - 420 = -170\nAnswer: -170 m (170 m below sea level)",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "What is the distance on the number line between -11 and 6? Show your working.",
      "Options": [],
      "Answer": "Step 1: Use distance formula: |6 - (-11)|\nStep 2: 6 - (-11) = 6 \u002B 11 = 17\nAnswer: 17 units",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "In a game, a player starts with 0 points, then gains 8, loses 15, and gains 12. What is the final score? Show your working.",
      "Options": [],
      "Answer": "Step 1: Sum the changes: 0 \u002B 8 - 15 \u002B 12\nStep 2: 0 \u002B 8 = 8; 8 - 15 = -7; -7 \u002B 12 = 5\nAnswer: 5 points",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "A submarine is at -150 m. It descends 60 m and then ascends 95 m. What is its depth now? Show your working.",
      "Options": [],
      "Answer": "Step 1: Combine movements: -150 - 60 \u002B 95\nStep 2: -150 - 60 = -210\nStep 3: -210 \u002B 95 = -115\nAnswer: -115 m",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "City A has a low of -9\u00B0C and City B has a low of -4\u00B0C. How many degrees colder is City A than City B? Show your working.",
      "Options": [],
      "Answer": "Step 1: Find the difference: |-9 - (-4)|\nStep 2: -9 - (-4) = -9 \u002B 4 = -5; absolute value = 5\nAnswer: 5\u00B0C colder",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "The sum of three consecutive integers is -6. What are the integers? Show your working.",
      "Options": [],
      "Answer": "Step 1: Let the integers be n, n\u002B1, n\u002B2; sum = n \u002B (n\u002B1) \u002B (n\u002B2) = -6\nStep 2: 3n \u002B 3 = -6 \u2192 3n = -9 \u2192 n = -3\nStep 3: Integers are -3, -2, -1\nAnswer: -3, -2, -1",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "A robot starts at position 5 on a number line, moves left 12 units, then right 7 units. Where does it stop? Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute final position: 5 - 12 \u002B 7\nStep 2: 5 - 12 = -7\nStep 3: -7 \u002B 7 = 0\nAnswer: 0",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}