{
  "title": "Factorisation Basics - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [


    {"id": 1, "difficulty": "easy", "question": "Factorise: 5x + 10", "options": {"A": "5(x + 2)", "B": "10(x + 5)", "C": "5x(x + 2)", "D": "x(5 + 10)"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Factorise: 9a - 3", "options": {"A": "9(a - 3)", "B": "3(3a - 1)", "C": "3(3a + 1)", "D": "3a(3 - 1)"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "Factorise: x² + 3x", "options": {"A": "x(x + 3)", "B": "3(x + x)", "C": "(x + 3)(x + 1)", "D": "x²(1 + 3)"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "Factorise: 4y + 20", "options": {"A": "4(y + 5)", "B": "20(y + 4)", "C": "4y(y + 5)", "D": "2(2y + 10)"}, "correct_answer": "D"},
    {"id": 5, "difficulty": "easy", "question": "Factorise: a² + ab", "options": {"A": "a(a + b)", "B": "b(a + b)", "C": "ab(a + 1)", "D": "(a + b)²"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Factorise: 7m - 14", "options": {"A": "7(m - 2)", "B": "14(m - 7)", "C": "7m(m - 14)", "D": "m(7 - 14)"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Factorise: 3x² + 6x", "options": {"A": "3x(x + 2)", "B": "6x(3 + x)", "C": "3(x² + 2)", "D": "x(3x + 6)"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "Factorise: y² - 4y", "options": {"A": "y(y - 4)", "B": "4(y - y)", "C": "(y - 2)(y + 2)", "D": "y²(1 - 4)"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "Factorise: 6a + 9b", "options": {"A": "3(2a + 3b)", "B": "6(a + b)", "C": "9(2a + b)", "D": "3ab(2 + 3)"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Factorise: 12p - 4", "options": {"A": "4(3p - 1)", "B": "12(p - 4)", "C": "2(6p - 2)", "D": "4p(3 - 1)"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Factorise: x² - 9", "options": {"A": "(x - 3)(x + 3)", "B": "(x - 9)(x + 9)", "C": "x(x - 9)", "D": "(x - 3)²"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Factorise: 14x + 21", "options": {"A": "7(2x + 3)", "B": "14(x + 1)", "C": "21(2x + 1)", "D": "7x(2 + 3)"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "Factorise: m² + 5m", "options": {"A": "m(m + 5)", "B": "5(m + m)", "C": "(m + 5)(m - 5)", "D": "m²(5 + 1)"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Factorise: 4a² - 8a", "options": {"A": "4a(a - 2)", "B": "8a(a - 1)", "C": "4(a² - 2)", "D": "2a(2a - 8)"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "Factorise: xy + xz", "options": {"A": "x(y + z)", "B": "y(x + z)", "C": "xz(y + 1)", "D": "x(yz + 1)"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Factorise: 20p - 5", "options": {"A": "5(4p - 1)", "B": "10(2p - 1)", "C": "20(p - 5)", "D": "5p(4 - 1)"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "Factorise: x² + x", "options": {"A": "x(x + 1)", "B": "(x + 1)²", "C": "x(x - 1)", "D": "(x² + 1)"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Factorise: 3m + 12", "options": {"A": "3(m + 4)", "B": "12(3 + m)", "C": "3m(m + 12)", "D": "3(4m + 1)"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Factorise: 2a² - 6a", "options": {"A": "2a(a - 3)", "B": "6a(2 - 1)", "C": "2(a² - 3)", "D": "a(2a - 6)"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Factorise: y² + 7y", "options": {"A": "y(y + 7)", "B": "(y + 7)²", "C": "7(y² + y)", "D": "y(y - 7)"}, "correct_answer": "D"},

   
    {"id": 21, "difficulty": "medium", "question": "Factorise: x² + 6x + 9", "options": {"A": "(x + 3)²", "B": "(x + 6)(x + 1)", "C": "(x + 9)(x - 3)", "D": "(x + 2)(x + 4)"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Factorise: a² - 16", "options": {"A": "(a - 4)(a + 4)", "B": "(a - 8)(a + 2)", "C": "a(a - 16)", "D": "(a - 4)²"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Factorise: m² + 10m + 25", "options": {"A": "(m + 5)(m + 5)", "B": "m(m + 10)", "C": "(m + 25)(m - 1)", "D": "(m + 2)(m + 3)"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Factorise: x² - 2x - 35", "options": {"A": "(x - 7)(x + 5)", "B": "(x - 5)(x + 7)", "C": "(x - 1)(x - 35)", "D": "(x - 5)(x - 7)"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "Factorise: 2x² + 7x + 3", "options": {"A": "(2x + 1)(x + 3)", "B": "(2x + 3)(x + 1)", "C": "(2x - 1)(x - 3)", "D": "(x + 2)(2x + 3)"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Factorise: 3a² - 12a + 12", "options": {"A": "3(a² - 4a + 4)", "B": "3(a - 2)²", "C": "(3a - 6)²", "D": "3(a² - 2a + 4)"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Factorise: x² + xy - 12y²", "options": {"A": "(x + 4y)(x - 3y)", "B": "(x + 3y)(x - 4y)", "C": "x(x + y - 12y)", "D": "(x + 2y)(x - 6y)"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Factorise: 4m² - 25", "options": {"A": "(2m - 5)(2m + 5)", "B": "(2m - 25)(2m + 1)", "C": "4(m² - 25)", "D": "(m - 5)(4m + 5)"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Factorise: y² - 9y + 20", "options": {"A": "(y - 4)(y - 5)", "B": "(y + 4)(y + 5)", "C": "(y - 9)(y + 20)", "D": "(y - 2)(y - 10)"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Factorise: 6x² + 5x - 4", "options": {"A": "(3x - 2)(2x + 2)", "B": "(3x + 2)(2x - 2)", "C": "(3x - 2)(2x + 2)", "D": "(2x - 1)(3x + 4)"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Factorise: a² + ab - 6b²", "options": {"A": "(a + 3b)(a - 2b)", "B": "(a - 3b)(a + 2b)", "C": "(a + 6b)(a - b)", "D": "(a + b)(a - 6b)"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Factorise: p² - 49", "options": {"A": "(p - 7)(p + 7)", "B": "(p - 49)(p + 1)", "C": "p(p - 49)", "D": "(p - 7)²"}, "correct_answer": "D"},
    {"id": 33, "difficulty": "medium", "question": "Factorise: m² + 11m + 24", "options": {"A": "(m + 3)(m + 8)", "B": "(m - 3)(m - 8)", "C": "(m + 4)(m + 6)", "D": "(m + 2)(m + 12)"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Factorise: x² - 13x + 36", "options": {"A": "(x - 9)(x - 4)", "B": "(x + 9)(x + 4)", "C": "(x - 6)(x - 7)", "D": "(x - 3)(x - 12)"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Factorise: 2y² + 9y + 10", "options": {"A": "(2y + 5)(y + 2)", "B": "(2y + 10)(y − 1)", "C": "(y + 5)(2y + 2)", "D": "(2y + 4)(y + 2)"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Factorise: 3p² - 18p + 27", "options": {"A": "3(p - 3)²", "B": "3(p - 6)(p + 3)", "C": "3(p² - 18)", "D": "(p - 3)(3p - 9)"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "Factorise: x² - 2xy + y²", "options": {"A": "(x - y)²", "B": "(x + y)²", "C": "x(x - y)", "D": "(x - y)(x + y)"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Factorise: 4a² - 4a + 1", "options": {"A": "(2a - 1)²", "B": "(2a + 1)²", "C": "(a - 1)²", "D": "(4a - 1)(a - 1)"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Factorise: 5m² - 20m + 20", "options": {"A": "5(m² - 4m + 4)", "B": "5(m - 2)²", "C": "5(m² - 2m + 4)", "D": "(5m - 10)(m - 2)"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Factorise: x² + 4x - 21", "options": {"A": "(x + 7)(x - 3)", "B": "(x - 7)(x + 3)", "C": "(x + 4)(x - 5)", "D": "(x + 1)(x - 21)"}, "correct_answer": "D"},

 
    {"id": 41, "difficulty": "hard", "question": "Factorise: 3x² - 11x - 4", "options": {"A": "(3x + 1)(x - 4)", "B": "(3x - 4)(x + 1)", "C": "(3x + 4)(x - 1)", "D": "(x + 4)(3x - 1)"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Factorise: 6a² + a - 2", "options": {"A": "(3a - 1)(2a + 2)", "B": "(3a + 2)(2a - 1)", "C": "(3a - 2)(2a + 1)", "D": "(6a - 2)(a + 1)"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "hard", "question": "Factorise: 4m² - 12m + 9", "options": {"A": "(2m - 3)²", "B": "(2m + 3)²", "C": "(m - 3)²", "D": "(4m - 3)(m - 1)"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "hard", "question": "Factorise: x³ - 27", "options": {"A": "(x - 3)(x² + 3x + 9)", "B": "(x + 3)(x² - 3x + 9)", "C": "x(x - 27)", "D": "(x - 3)³"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "hard", "question": "Factorise: a³ + 8", "options": {"A": "(a + 2)(a² - 2a + 4)", "B": "(a - 2)(a² + 2a + 4)", "C": "(a + 2)³", "D": "a(a² + 8)"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Factorise: 9x² - 25y²", "options": {"A": "(3x - 5y)(3x + 5y)", "B": "(9x - 5y)(x + 5y)", "C": "(3x - 25y)(3x + y)", "D": "(x - y)(9x + 25y)"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "hard", "question": "Factorise: 8p³ + 27", "options": {"A": "(2p + 3)(4p² - 6p + 9)", "B": "(2p - 3)(4p² + 6p + 9)", "C": "(2p + 3)(4p² + 6p + 9)", "D": "(2p + 3)³"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "hard", "question": "Factorise: x³ + 6x² + 11x + 6", "options": {"A": "(x + 1)(x + 2)(x + 3)", "B": "(x - 1)(x + 2)(x + 3)", "C": "(x + 1)(x² + 5x + 6)", "D": "(x + 2)(x² + 4x + 3)"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "hard", "question": "Factorise: 2a³ − 18a", "options": {"A": "2a(a² − 9)", "B": "2(a - 3)(a + 3)", "C": "2a(a - 9)", "D": "2a(a² + 9)"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Factorise: 4x³ - x", "options": {"A": "x(4x² - 1)", "B": "x(2x - 1)(2x + 1)", "C": "4x(x² - 1)", "D": "(x - 1)(4x² + x)"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "Factorise: y³ - 4y² - 7y + 10", "options": {"A": "(y - 5)(y² + y - 2)", "B": "(y - 2)(y² - 2y - 5)", "C": "(y - 1)(y² - 3y - 10)", "D": "(y - 2)(y - 5)(y + 1)"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Factorise: x⁴ − 16", "options": {"A": "(x² - 4)(x² + 4)", "B": "(x - 2)(x + 2)(x² + 4)", "C": "(x² - 4)²", "D": "(x - 4)(x + 4)"}, "correct_answer": "B"},
    {"id": 53, "difficulty": "hard", "question": "Factorise: 3a³ + a² - 9a - 3", "options": {"A": "(a + 1)(3a² - 9)", "B": "(a + 1)(3a² - 2a - 3)", "C": "(a - 1)(3a² + 2a - 3)", "D": "(a + 1)(3a² + 2a - 3)"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "hard", "question": "Factorise: 5x³ - 20x² + 15x", "options": {"A": "5x(x² - 4x + 3)", "B": "5(x - 1)(x - 3)", "C": "5x(x - 1)(x - 3)", "D": "(5x - 3)(x - 1)"}, "correct_answer": "D"},
    {"id": 55, "difficulty": "hard", "question": "Factorise: 6m³ + 7m² - 3m", "options": {"A": "m(6m² + 7m - 3)", "B": "(m + 3)(6m² - 1)", "C": "m(3m - 1)(2m + 3)", "D": "m(2m - 1)(3m + 3)"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Factorise: x³ + x² - 4x - 4", "options": {"A": "(x + 1)(x² - 4)", "B": "(x + 1)(x - 2)(x + 2)", "C": "(x + 1)(x² + x - 4)", "D": "(x + 2)(x² - x - 2)"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "hard", "question": "Factorise: 25a² - 40ab + 16b²", "options": {"A": "(5a - 4b)²", "B": "(5a + 4b)²", "C": "(5a - 2b)(5a - 8b)", "D": "(25a - 4b)(a - 4b)"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "hard", "question": "Factorise: x³ - 9x", "options": {"A": "x(x² - 9)", "B": "x(x - 3)(x + 3)", "C": "x(x² + 9)", "D": "x(x² - 9x)"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "Factorise: 2p³ + 5p² - 3p", "options": {"A": "p(2p² + 5p - 3)", "B": "p(2p - 3)(p + 1)", "C": "p(2p + 3)(p - 1)", "D": "p(2p - 1)(p + 3)"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Factorise: y³ + 2y² - y - 2", "options": {"A": "(y + 2)(y² - 1)", "B": "(y + 1)(y² + y - 2)", "C": "(y + 2)(y - 1)(y + 1)", "D": "(y - 1)(y² + 2y + 2)"}, "correct_answer": "D"}

  ]
}