{
  "title": "Operations on Integers - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is (+5) + (+3)? ➕",
      "options": { "A": "8", "B": "2", "C": "-8", "D": "-2" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "What is (-4) + (-2)? ➕",
      "options": { "A": "6", "B": "-6", "C": "2", "D": "-2" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Calculate: (+7) - (+2) ➖",
      "options": { "A": "9", "B": "5", "C": "-5", "D": "-9" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Calculate: (-6) - (-1) ➖",
      "options": { "A": "-7", "B": "-5", "C": "5", "D": "7" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "What is (+8) + (-3)? ➕",
      "options": { "A": "11", "B": "5", "C": "-5", "D": "-11" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What is (-5) + (+9)? ➕",
      "options": { "A": "-14", "B": "-4", "C": "4", "D": "14" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Find: (+10) - (-2) ➖",
      "options": { "A": "8", "B": "12", "C": "-8", "D": "-12" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Find: (-8) - (+3) ➖",
      "options": { "A": "-5", "B": "5", "C": "-11", "D": "11" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Simplify: 0 + (-7) 🌀",
      "options": { "A": "7", "B": "-7", "C": "0", "D": "70" },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Simplify: (-4) + 4 🤝",
      "options": { "A": "8", "B": "-8", "C": "0", "D": "1" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "What is (+6) × (+2)? ✖️",
      "options": { "A": "12", "B": "8", "C": "4", "D": "3" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "What is (-3) × (+4)? ✖️",
      "options": { "A": "12", "B": "-12", "C": "7", "D": "-7" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "What is (+9) ÷ (+3)? ➗",
      "options": { "A": "3", "B": "6", "C": "12", "D": "27" },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "What is (-10) ÷ (+2)? ➗",
      "options": { "A": "5", "B": "-5", "C": "8", "D": "-8" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "The temperature was -3°C and rose by 5°C. What is it now? 🌡️",
      "options": { "A": "8°C", "B": "2°C", "C": "-8°C", "D": "-2°C" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "A submarine is at -50m and goes up 20m. Where is it now? 🚤",
      "options": { "A": "-70m", "B": "-30m", "C": "30m", "D": "70m" },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "If you lose ₹5 (-5) and then lose another ₹3 (-3), what is your total loss? 💸",
      "options": { "A": "₹2", "B": "₹8", "C": "-₹8", "D": "-₹2" },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "What is the product of two negative integers? 🤔",
      "options": {
        "A": "Negative",
        "B": "Positive",
        "C": "Zero",
        "D": "Depends"
      },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "What is (+12) ÷ (-4)? ➗",
      "options": { "A": "3", "B": "-3", "C": "8", "D": "-8" },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Evaluate: (-1) × (-1) × (-1) 🔄",
      "options": { "A": "1", "B": "-1", "C": "0", "D": "3" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Calculate: (-15) + (+8) - (-3) ➕➖",
      "options": { "A": "-10", "B": "-4", "C": "4", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Find: (+20) - (+25) + (-5) ➖➕",
      "options": { "A": "0", "B": "-10", "C": "10", "D": "50" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Simplify: (-7) × (+6) ÷ (-2) ✖️➗",
      "options": { "A": "21", "B": "-21", "C": "42", "D": "-42" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "What is (-48) ÷ (+12)? ➗",
      "options": { "A": "4", "B": "-4", "C": "36", "D": "-36" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Evaluate: (-5)² 📈",
      "options": { "A": "-25", "B": "25", "C": "10", "D": "-10" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "A plane flies at 5000m. It descends 1200m, then ascends 800m. What is its new altitude? ✈️",
      "options": { "A": 4600, "B": 5800, "C": 4200, "D": 7000 },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Calculate: (-3) × (-4) × (-1) 🔄",
      "options": { "A": "12", "B": "-12", "C": "7", "D": "-7" },
      "correct_answer": "B"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "The product of three integers is -60. Two of them are +5 and -2. Find the third. 🧩",
      "options": { "A": "6", "B": "-6", "C": "30", "D": "-30" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Find the missing number: (-9) + ▢ = -2 🔍",
      "options": { "A": "-7", "B": "7", "C": "-11", "D": "11" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Find the missing number: ▢ × (-8) = +32 🔍",
      "options": { "A": "4", "B": "-4", "C": "24", "D": "-24" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "A football team lost 3 yards (-3) on first play, gained 7 yards (+7) on second. What is the net gain? 🏈",
      "options": {
        "A": "-10 yards",
        "B": "+10 yards",
        "C": "+4 yards",
        "D": "-4 yards"
      },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "What is the quotient when (-100) is divided by (+25)? ➗",
      "options": { "A": "4", "B": "-4", "C": "125", "D": "-125" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Calculate: (+16) ÷ (-4) + (-3) ➗➕",
      "options": { "A": "-1", "B": "-7", "C": "1", "D": "7" },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "If a = -6 and b = +4, find a - b. 🔢",
      "options": { "A": "-10", "B": "-2", "C": "2", "D": "10" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "If p = -10 and q = -5, find p ÷ q. 🔢",
      "options": { "A": "-2", "B": "2", "C": "-15", "D": "15" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "On a number line, you move from -8 to +5. What integer represents this movement? 🧭",
      "options": { "A": "-13", "B": "+13", "C": "-3", "D": "+3" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "The sum of two integers is -9. If one is +3, find the other. ➕",
      "options": { "A": "-12", "B": "-6", "C": "6", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "The difference between two integers is 7. If the larger is -2, find the smaller. ➖",
      "options": { "A": "5", "B": "-9", "C": "9", "D": "-5" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Evaluate: | -8 | + | +5 | 📏",
      "options": { "A": "13", "B": "3", "C": "-13", "D": "-3" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "What is (-1)¹⁰⁰? (Hint: even power) ⚡",
      "options": { "A": "1", "B": "-1", "C": "100", "D": "-100" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Calculate: [(-12) + (-8)] ÷ [(-5) × (+2)] 📊",
      "options": { "A": "2", "B": "-2", "C": "10", "D": "-10" },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Find the value of: (-3)³ + (-2)² 📈",
      "options": { "A": "-23", "B": "23", "C": "-11", "D": "11" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "If x = -4 and y = 3, find the value of x² - y². 🔢",
      "options": { "A": "7", "B": "-7", "C": "25", "D": "-25" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "A sequence is: -10, -7, -4, ... What is the next integer? ➡️",
      "options": { "A": "-1", "B": "0", "C": "1", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "The product of two integers is +72. Their sum is -18. What are the integers? 🤯",
      "options": {
        "A": "-12 and -6",
        "B": "-9 and -8",
        "C": "-24 and +3",
        "D": "-36 and -2"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "What is the result of (-5) × [(-6) + (+4)] - (-10)? 📝",
      "options": { "A": "0", "B": "20", "C": "-20", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "A diver is at -30m. She rises in 5 equal steps to the surface (0m). How many meters does she rise each step? 🐠",
      "options": { "A": "5m", "B": "6m", "C": "-6m", "D": "30m" },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "The average of -12, -8, 0, and an unknown integer is -5. Find the unknown integer. 🧮",
      "options": { "A": "0", "B": "-5", "C": "5", "D": "10" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Solve: (-45) ÷ ▢ = +9 🔍",
      "options": { "A": "5", "B": "-5", "C": "405", "D": "-405" },
      "correct_answer": "B"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Find the number which when multiplied by -6 gives the same result as when added to -6. ⚖️",
      "options": {
        "A": "6/7",
        "B": "7/6",
        "C": "-6/7",
        "D": "0"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "On a number line, point A is at -11 and point B is at 7. Find point C such that AC = CB. ⚖️",
      "options": { "A": "-2", "B": "-4", "C": "2", "D": "4" },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "What is the sum of the first 10 negative integers? ➕",
      "options": { "A": "-45", "B": "-55", "C": "45", "D": "55" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "If (-8) × (x) = (+8) × (-8), find x. 🔍",
      "options": { "A": "8", "B": "-8", "C": "1", "D": "-1" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "The temperature at midnight was -5°C. It dropped 3°C each hour for 4 hours. What was the temperature then? ❄️",
      "options": { "A": "-7°C", "B": "-17°C", "C": "7°C", "D": "-20°C" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Evaluate: (-1) × (-2) × (-3) × ... × (-5) (product of first 5 negative integers) 🔄",
      "options": { "A": "120", "B": "-120", "C": "60", "D": "-60" },
      "correct_answer": "B"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "A shopkeeper had a profit of ₹500 (+500) on Monday and a loss of ₹300 (-300) on Tuesday. What is the net result? 🏪",
      "options": {
        "A": "₹800 profit",
        "B": "₹200 profit",
        "C": "₹200 loss",
        "D": "₹800 loss"
      },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "What is the smallest integer that can be added to -50 to make the sum positive? 🔝",
      "options": { "A": "49", "B": "50", "C": "51", "D": "100" },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "If |a| = 7 and |b| = 5, what is the maximum possible value of a - b? 📈",
      "options": { "A": "12", "B": "2", "C": "-2", "D": "-12" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A magic square has each row, column, and diagonal sum = -9. If center cell is -3, what is the top left cell? 🧙",
      "options": {
        "A": "0",
        "B": "-2",
        "C": "-4",
        "D": "-5"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "The sum of three consecutive integers is -12. What is the product of the first and last? ➕✖️",
      "options": {
        "A": "16",
        "B": "-16",
        "C": "15",
        "D": "-15"
      },
      "correct_answer": "C"
    }
  ]
}
