{
  "title": "Finding Cube Roots - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Find ∛8 using prime factorization. 🔢",
      "options": { "A": "2", "B": "4", "C": "16", "D": "1" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Prime factorize 27 to find its cube root. ✨",
      "options": { "A": "3", "B": "9", "C": "1", "D": "27" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Find ∛64 by factor method. 📐",
      "options": { "A": "4", "B": "8", "C": "16", "D": "32" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Using prime factors, ∛125 = ? 🧮",
      "options": { "A": "5", "B": "25", "C": "15", "D": "10" },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Find cube root of 216 by factorization. 🎯",
      "options": { "A": "6", "B": "12", "C": "36", "D": "18" },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Prime factors of 343: 7×7×7. So ∛343 = ? 🧊",
      "options": { "A": "7", "B": "49", "C": "21", "D": "14" },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Find ∛729 using prime factors. 🚀",
      "options": { "A": "9", "B": "27", "C": "81", "D": "3" },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Prime factorize 1000 to find ∛1000. 🔟",
      "options": { "A": "10", "B": "100", "C": "30", "D": "50" },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "∛512 = ? (512 = 2⁹) ⚡",
      "options": { "A": "8", "B": "16", "C": "64", "D": "32" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Find ∛1728. Hint: 1728 = 12³. 🧩",
      "options": { "A": "12", "B": "24", "C": "36", "D": "48" },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Prime factors of 2744: 2×2×2×7×7×7. ∛2744 = ? 🔍",
      "options": { "A": "14", "B": "28", "C": "7", "D": "2×7=14" },
      "correct_answer": "D"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "∛(8 × 27) = ∛8 × ∛27 = ? ✅",
      "options": { "A": "6", "B": "36", "C": "216", "D": "2×3=6" },
      "correct_answer": "D"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Find cube root of 0.008 using prime factors. 🎲",
      "options": { "A": "0.2", "B": "0.02", "C": "0.4", "D": "0.04" },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "∛(1/64) by factorization. 🍰",
      "options": { "A": "1/4", "B": "1/8", "C": "1/2", "D": "1/16" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Prime factors of 1331: 11×11×11. So ∛1331 = ? 🧠",
      "options": { "A": "11", "B": "121", "C": "33", "D": "1.1" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Find ∛2197. (Hint: 13³=2197) 🎪",
      "options": { "A": "13", "B": "23", "C": "33", "D": "17" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Using prime factors, ∛4096 = ? (4096=2¹²) 📏",
      "options": { "A": "16", "B": "32", "C": "64", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "∛(0.027) = ? (27=3³) ❄️",
      "options": { "A": "0.3", "B": "0.03", "C": "0.003", "D": "3" },
      "correct_answer": "A"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Prime factorize 3375 to find cube root. 🚧",
      "options": { "A": "15", "B": "25", "C": "35", "D": "45" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Find ∛8000. (8000=20³) 🔟",
      "options": { "A": "20", "B": "200", "C": "40", "D": "80" },
      "correct_answer": "A"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Find ∛27000 using prime factorization. 🌟",
      "options": { "A": "30", "B": "300", "C": "3", "D": "130" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Prime factorize 5832 to find ∛5832. 🧮",
      "options": { "A": "18", "B": "12", "C": "24", "D": "9" },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Find cube root of 0.125 by factorization. 🍰",
      "options": { "A": "0.5", "B": "0.05", "C": "0.25", "D": "0.2" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "∛(216/729) = ? Simplify using prime factors. ➗",
      "options": {
        "A": "6/9",
        "B": "2/3",
        "C": "0.666...",
        "D": "All of these"
      },
      "correct_answer": "D"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Find ∛10648. (Hint: 22³=10648) 🔢",
      "options": { "A": "22", "B": "32", "C": "12", "D": "42" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Prime factors of 12167: 23×23×23. So ∛12167 = ? 🎯",
      "options": { "A": "23", "B": "13", "C": "33", "D": "43" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "∛(0.000729) using prime factors. (729=9³) 🔍",
      "options": { "A": "0.09", "B": "0.9", "C": "0.009", "D": "0.0009" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Find ∛17576. (Hint: 26³=17576) 📊",
      "options": { "A": "26", "B": "36", "C": "16", "D": "46" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Prime factorize 46656 to find cube root. 🚀",
      "options": { "A": "36", "B": "6", "C": "216", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Find ∛(8/125) = ∛8 / ∛125 = ? ✂️",
      "options": { "A": "2/5", "B": "0.4", "C": "4/10", "D": "All of these" },
      "correct_answer": "D"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Using prime factors, ∛0.064 = ? (64=4³) 📐",
      "options": { "A": "0.4", "B": "0.04", "C": "0.8", "D": "0.08" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Find ∛(343/1000) = ? 🧊",
      "options": {
        "A": "7/10",
        "B": "0.7",
        "C": "70/100",
        "D": "All of these"
      },
      "correct_answer": "D"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Prime factors of 32768: 2¹⁵. ∛32768 = ? ⚡",
      "options": { "A": "32", "B": "16", "C": "64", "D": "128" },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "∛(0.046656) = ? (46656=36³) 🧩",
      "options": { "A": "0.36", "B": "3.6", "C": "0.036", "D": "36" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Find ∛(27000/125) using prime factors. ➖",
      "options": { "A": "6", "B": "60", "C": "30/5=6", "D": "All of these" },
      "correct_answer": "D"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Prime factorize 54872 to find ∛54872. (Hint: 38³=54872) 🎲",
      "options": { "A": "38", "B": "28", "C": "48", "D": "18" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "∛(0.000125) = ? (125=5³) 🔢",
      "options": { "A": "0.05", "B": "0.005", "C": "0.5", "D": "0.0005" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Find ∛(216×343) = ∛216 × ∛343 = ? ✅",
      "options": { "A": "42", "B": "6×7=42", "C": "Both A & B", "D": "294" },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Prime factors of 29791: 31×31×31. ∛29791 = ? 🧠",
      "options": { "A": "31", "B": "21", "C": "41", "D": "51" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Find ∛(0.343/0.027) = ? ➗",
      "options": { "A": "7/3", "B": "2.333...", "C": "Both A & B", "D": "3/7" },
      "correct_answer": "C"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Find ∛(12167/2197) using prime factors. 🏆",
      "options": {
        "A": "23/13",
        "B": "≈1.769",
        "C": "Both A & B",
        "D": "13/23"
      },
      "correct_answer": "C"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Prime factorize 250047 to find cube root. (Hint: 63³) 🔥",
      "options": { "A": "63", "B": "53", "C": "73", "D": "83" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Find ∛(0.000000216) using prime factors. 🌌",
      "options": { "A": "0.006", "B": "0.06", "C": "0.0006", "D": "0.6" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "∛(79507/24389) = ? (Hint: 43³=79507, 29³=24389) 📚",
      "options": {
        "A": "43/29",
        "B": "≈1.4828",
        "C": "Both A & B",
        "D": "29/43"
      },
      "correct_answer": "C"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Find ∛(0.004096) using prime factors. (4096=16³) 🎯",
      "options": { "A": "0.16", "B": "1.6", "C": "0.016", "D": "16" },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Prime factorize 300763 to find ∛300763. (67³) 🚀",
      "options": { "A": "67", "B": "57", "C": "77", "D": "47" },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Find ∛(15.625) using prime factors. (15625=25³) 🧮",
      "options": { "A": "2.5", "B": "25", "C": "0.25", "D": "250" },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "∛(0.000000027) = ? (27=3³) ❄️",
      "options": { "A": "0.003", "B": "0.03", "C": "0.0003", "D": "0.3" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Find ∛(884736) using prime factorization. (96³) 📊",
      "options": { "A": "96", "B": "86", "C": "106", "D": "76" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Prime factorize 912673 to find cube root. (97³) 🔢",
      "options": { "A": "97", "B": "87", "C": "107", "D": "77" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Find ∛(0.046656/0.000729) = ? (46656=36³, 729=9³) ➗",
      "options": { "A": "40", "B": "36/9=4", "C": "4", "D": "All of these" },
      "correct_answer": "D"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "∛(389017) = ? (Hint: 73³=389017) 🧠",
      "options": { "A": "73", "B": "63", "C": "83", "D": "93" },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Find ∛(0.000343) using prime factors. (343=7³) 🧊",
      "options": { "A": "0.07", "B": "0.7", "C": "0.007", "D": "0.0007" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Prime factorize 592704 to find ∛592704. (84³) ⚡",
      "options": { "A": "84", "B": "74", "C": "94", "D": "64" },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Find ∛(2.744) using prime factors. (2744=14³) 📏",
      "options": { "A": "1.4", "B": "14", "C": "0.14", "D": "140" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "∛(0.000064/0.008) = ? (64=4³, 8=2³) ✂️",
      "options": {
        "A": "0.2",
        "B": "1/5",
        "C": "0.4/2=0.2",
        "D": "All of these"
      },
      "correct_answer": "D"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Find ∛(970299) using prime factorization. (99³) 🎲",
      "options": { "A": "99", "B": "89", "C": "109", "D": "79" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Prime factorize 1030301 to find cube root. (101³) 🚅",
      "options": { "A": "101", "B": "111", "C": "91", "D": "121" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Find ∛(0.000000125) using prime factors. (125=5³) 🌟",
      "options": { "A": "0.005", "B": "0.05", "C": "0.0005", "D": "0.5" },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "∛(42875/9261) = ? (35³/21³) ✅",
      "options": {
        "A": "35/21",
        "B": "5/3",
        "C": "≈1.6667",
        "D": "All of these"
      },
      "correct_answer": "D"
    }
  ]
}