{
  "title": "Factorization Using Identities - Grade 9 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Factorize: x² - 4 🧩", "options": {"A": "(x + 2)(x - 2)", "B": "(x + 4)(x - 4)", "C": "(x - 2)²", "D": "(x + 1)(x - 4)"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Factorize: y² - 9 🌟", "options": {"A": "(y + 3)(y - 3)", "B": "(y + 9)(y - 9)", "C": "(y - 3)²", "D": "(y + 1)(y - 9)"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Factorize: a² - 16 🧮", "options": {"A": "(a + 4)(a - 4)", "B": "(a + 8)(a - 8)", "C": "(a - 4)²", "D": "(a + 2)(a - 8)"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Factorize: b² - 25 ✨", "options": {"A": "(b + 5)(b - 5)", "B": "(b + 10)(b - 10)", "C": "(b - 5)²", "D": "(b + 1)(b - 25)"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Factorize: m² - 36 🎯", "options": {"A": "(m + 6)(m - 6)", "B": "(m + 12)(m - 12)", "C": "(m - 6)²", "D": "(m + 3)(m - 12)"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Factorize: n² - 49 🔢", "options": {"A": "(n + 7)(n - 7)", "B": "(n + 14)(n - 14)", "C": "(n - 7)²", "D": "(n + 1)(n - 49)"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Factorize: p² - 64 🌈", "options": {"A": "(p + 8)(p - 8)", "B": "(p + 16)(p - 16)", "C": "(p - 8)²", "D": "(p + 4)(p - 16)"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Factorize: q² - 81 🧠", "options": {"A": "(q + 9)(q - 9)", "B": "(q + 18)(q - 18)", "C": "(q - 9)²", "D": "(q + 3)(q - 27)"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Factorize: r² - 100 📐", "options": {"A": "(r + 10)(r - 10)", "B": "(r + 20)(r - 20)", "C": "(r - 10)²", "D": "(r + 5)(r - 20)"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Factorize: s² - 121 🎲", "options": {"A": "(s + 11)(s - 11)", "B": "(s + 22)(s - 22)", "C": "(s - 11)²", "D": "(s + 1)(s - 121)"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Factorize: t² - 144 🧩", "options": {"A": "(t + 12)(t - 12)", "B": "(t + 24)(t - 24)", "C": "(t - 12)²", "D": "(t + 6)(t - 24)"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Factorize: u² - 169 🌟", "options": {"A": "(u + 13)(u - 13)", "B": "(u + 26)(u - 26)", "C": "(u - 13)²", "D": "(u + 1)(u - 169)"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Factorize: v² - 196 🧮", "options": {"A": "(v + 14)(v - 14)", "B": "(v + 28)(v - 28)", "C": "(v - 14)²", "D": "(v + 7)(v - 28)"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Factorize: w² - 225 ✨", "options": {"A": "(w + 15)(w - 15)", "B": "(w + 30)(w - 30)", "C": "(w - 15)²", "D": "(w + 5)(w - 45)"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Factorize: x² - 256 🎯", "options": {"A": "(x + 16)(x - 16)", "B": "(x + 32)(x - 32)", "C": "(x - 16)²", "D": "(x + 8)(x - 32)"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Factorize: y² - 289 🔢", "options": {"A": "(y + 17)(y - 17)", "B": "(y + 34)(y - 34)", "C": "(y - 17)²", "D": "(y + 1)(y - 289)"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Factorize: z² - 324 🌈", "options": {"A": "(z + 18)(z - 18)", "B": "(z + 36)(z - 36)", "C": "(z - 18)²", "D": "(z + 9)(z - 36)"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Factorize: a² - 361 🧠", "options": {"A": "(a + 19)(a - 19)", "B": "(a + 38)(a - 38)", "C": "(a - 19)²", "D": "(a + 1)(a - 361)"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Factorize: b² - 400 📐", "options": {"A": "(b + 20)(b - 20)", "B": "(b + 40)(b - 40)", "C": "(b - 20)²", "D": "(b + 10)(b - 40)"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Factorize: c² - 441 🎲", "options": {"A": "(c + 21)(c - 21)", "B": "(c + 42)(c - 42)", "C": "(c - 21)²", "D": "(c + 7)(c - 63)"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Factorize: 4x² - 9 🧩", "options": {"A": "(2x + 3)(2x - 3)", "B": "(4x + 3)(4x - 3)", "C": "(2x - 3)²", "D": "(x + 3)(4x - 3)"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Factorize: 9y² - 16 🌟", "options": {"A": "(3y + 4)(3y - 4)", "B": "(9y + 4)(9y - 4)", "C": "(3y - 4)²", "D": "(y + 4)(9y - 4)"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Factorize: 16a² - 25 🧮", "options": {"A": "(4a + 5)(4a - 5)", "B": "(16a + 5)(16a - 5)", "C": "(4a - 5)²", "D": "(a + 5)(16a - 5)"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Factorize: 25b² - 36 ✨", "options": {"A": "(5b + 6)(5b - 6)", "B": "(25b + 6)(25b - 6)", "C": "(5b - 6)²", "D": "(b + 6)(25b - 6)"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Factorize: 36m² - 49 🎯", "options": {"A": "(6m + 7)(6m - 7)", "B": "(36m + 7)(36m - 7)", "C": "(6m - 7)²", "D": "(m + 7)(36m - 7)"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Factorize: 49n² - 64 🔢", "options": {"A": "(7n + 8)(7n - 8)", "B": "(49n + 8)(49n - 8)", "C": "(7n - 8)²", "D": "(n + 8)(49n - 8)"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Factorize: 64p² - 81 🌈", "options": {"A": "(8p + 9)(8p - 9)", "B": "(64p + 9)(64p - 9)", "C": "(8p - 9)²", "D": "(p + 9)(64p - 9)"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Factorize: 81q² - 100 🧠", "options": {"A": "(9q + 10)(9q - 10)", "B": "(81q + 10)(81q - 10)", "C": "(9q - 10)²", "D": "(q + 10)(81q - 10)"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Factorize: 100r² - 121 📐", "options": {"A": "(10r + 11)(10r - 11)", "B": "(100r + 11)(100r - 11)", "C": "(10r - 11)²", "D": "(r + 11)(100r - 11)"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Factorize: 121s² - 144 🎲", "options": {"A": "(11s + 12)(11s - 12)", "B": "(121s + 12)(121s - 12)", "C": "(11s - 12)²", "D": "(s + 12)(121s - 12)"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Factorize: x² + 6x + 9 🧩", "options": {"A": "(x + 3)²", "B": "(x - 3)²", "C": "(x + 9)(x + 1)", "D": "(x + 6)(x + 1)"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Factorize: y² + 8y + 16 🌟", "options": {"A": "(y + 4)²", "B": "(y - 4)²", "C": "(y + 8)(y + 2)", "D": "(y + 16)(y + 1)"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Factorize: a² + 10a + 25 🧮", "options": {"A": "(a + 5)²", "B": "(a - 5)²", "C": "(a + 10)(a + 2.5)", "D": "(a + 25)(a + 1)"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Factorize: b² + 12b + 36 ✨", "options": {"A": "(b + 6)²", "B": "(b - 6)²", "C": "(b + 12)(b + 3)", "D": "(b + 36)(b + 1)"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Factorize: m² + 14m + 49 🎯", "options": {"A": "(m + 7)²", "B": "(m - 7)²", "C": "(m + 14)(m + 3.5)", "D": "(m + 49)(m + 1)"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Factorize: n² + 16n + 64 🔢", "options": {"A": "(n + 8)²", "B": "(n - 8)²", "C": "(n + 16)(n + 4)", "D": "(n + 64)(n + 1)"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Factorize: p² + 18p + 81 🌈", "options": {"A": "(p + 9)²", "B": "(p - 9)²", "C": "(p + 18)(p + 4.5)", "D": "(p + 81)(p + 1)"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Factorize: q² + 20q + 100 🧠", "options": {"A": "(q + 10)²", "B": "(q - 10)²", "C": "(q + 20)(q + 5)", "D": "(q + 100)(q + 1)"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Factorize: r² + 22r + 121 📐", "options": {"A": "(r + 11)²", "B": "(r - 11)²", "C": "(r + 22)(r + 5.5)", "D": "(r + 121)(r + 1)"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Factorize: s² + 24s + 144 🎲", "options": {"A": "(s + 12)²", "B": "(s - 12)²", "C": "(s + 24)(s + 6)", "D": "(s + 144)(s + 1)"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "Factorize: 4x² + 12x + 9 🧩", "options": {"A": "(2x + 3)²", "B": "(2x - 3)²", "C": "(4x + 3)(x + 3)", "D": "(2x + 9)(2x + 1)"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Factorize: 9y² + 24y + 16 🌟", "options": {"A": "(3y + 4)²", "B": "(3y - 4)²", "C": "(9y + 4)(y + 4)", "D": "(3y + 8)(3y + 2)"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "Factorize: 16a² + 40a + 25 🧮", "options": {"A": "(4a + 5)²", "B": "(4a - 5)²", "C": "(16a + 5)(a + 5)", "D": "(4a + 10)(4a + 2.5)"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Factorize: 25b² + 60b + 36 ✨", "options": {"A": "(5b + 6)²", "B": "(5b - 6)²", "C": "(25b + 6)(b + 6)", "D": "(5b + 12)(5b + 3)"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "Factorize: 36m² + 84m + 49 🎯", "options": {"A": "(6m + 7)²", "B": "(6m - 7)²", "C": "(36m + 7)(m + 7)", "D": "(6m + 14)(6m + 3.5)"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Factorize: 49n² + 112n + 64 🔢", "options": {"A": "(7n + 8)²", "B": "(7n - 8)²", "C": "(49n + 8)(n + 8)", "D": "(7n + 16)(7n + 4)"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "Factorize: 64p² + 144p + 81 🌈", "options": {"A": "(8p + 9)²", "B": "(8p - 9)²", "C": "(64p + 9)(p + 9)", "D": "(8p + 18)(8p + 4.5)"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Factorize: 81q² + 180q + 100 🧠", "options": {"A": "(9q + 10)²", "B": "(9q - 10)²", "C": "(81q + 10)(q + 10)", "D": "(9q + 20)(9q + 5)"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "Factorize: 100r² + 220r + 121 📐", "options": {"A": "(10r + 11)²", "B": "(10r - 11)²", "C": "(100r + 11)(r + 11)", "D": "(10r + 22)(10r + 5.5)"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Factorize: 121s² + 264s + 144 🎲", "options": {"A": "(11s + 12)²", "B": "(11s - 12)²", "C": "(121s + 12)(s + 12)", "D": "(11s + 24)(11s + 6)"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "Factorize: 4x² - 12x + 9 🧩", "options": {"A": "(2x - 3)²", "B": "(2x + 3)²", "C": "(4x - 3)(x - 3)", "D": "(2x - 9)(2x - 1)"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Factorize: 9y² - 30y + 25 🌟", "options": {"A": "(3y - 5)²", "B": "(3y + 5)²", "C": "(9y - 5)(y - 5)", "D": "(3y - 10)(3y - 2.5)"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Factorize: 16a² - 56a + 49 🧮", "options": {"A": "(4a - 7)²", "B": "(4a + 7)²", "C": "(16a - 7)(a - 7)", "D": "(4a - 14)(4a - 3.5)"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Factorize: 25b² - 70b + 49 ✨", "options": {"A": "(5b - 7)²", "B": "(5b + 7)²", "C": "(25b - 7)(b - 7)", "D": "(5b - 14)(5b - 3.5)"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "Factorize: 36m² - 96m + 64 🎯", "options": {"A": "(6m - 8)²", "B": "(6m + 8)²", "C": "(36m - 8)(m - 8)", "D": "(6m - 16)(6m - 4)"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Factorize: 49n² - 126n + 81 🔢", "options": {"A": "(7n - 9)²", "B": "(7n + 9)²", "C": "(49n - 9)(n - 9)", "D": "(7n - 18)(7n - 4.5)"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Factorize: 64p² - 160p + 100 🌈", "options": {"A": "(8p - 10)²", "B": "(8p + 10)²", "C": "(64p - 10)(p - 10)", "D": "(8p - 20)(8p - 5)"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Factorize: 81q² - 198q + 121 🧠", "options": {"A": "(9q - 11)²", "B": "(9q + 11)²", "C": "(81q - 11)(q - 11)", "D": "(9q - 22)(9q - 5.5)"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Factorize: 100r² - 240r + 144 📐", "options": {"A": "(10r - 12)²", "B": "(10r + 12)²", "C": "(100r - 12)(r - 12)", "D": "(10r - 24)(10r - 6)"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Factorize: 121s² - 286s + 169 🎲", "options": {"A": "(11s - 13)²", "B": "(11s + 13)²", "C": "(121s - 13)(s - 13)", "D": "(11s - 26)(11s - 6.5)"}, "correct_answer": "A"}
  ]
}