{
  "title": "Complex Fractions - Grade 5 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is 1/2 of 1/4? ➗",
      "options": { "A": "1/8", "B": "1/6", "C": "1/4", "D": "1/2" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Simplify: (1/3) ÷ (1/6) = ?",
      "options": { "A": "1/2", "B": "2", "C": "3", "D": "6" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "(2/5) × (5/2) = ? ✖️",
      "options": { "A": "0", "B": "1", "C": "2", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "1 ÷ (1/2) = ?",
      "options": { "A": "1/2", "B": "1", "C": "2", "D": "4" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Simplify: (3/4) of (8/9) = ?",
      "options": { "A": "2/3", "B": "3/4", "C": "4/5", "D": "5/6" },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "(1/2) ÷ 2 = ?",
      "options": { "A": "1/4", "B": "1/2", "C": "1", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Simplify: 2 × (1/3) = ?",
      "options": { "A": "1/3", "B": "2/3", "C": "3/2", "D": "6" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "(1/4) ÷ (1/8) = ?",
      "options": { "A": "1/2", "B": "1", "C": "2", "D": "4" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Simplify: (2/3) of (3/4) = ?",
      "options": { "A": "1/2", "B": "2/3", "C": "3/4", "D": "1" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "3 ÷ (1/3) = ?",
      "options": { "A": "1", "B": "3", "C": "6", "D": "9" },
      "correct_answer": "D"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "(5/6) × (2/5) = ?",
      "options": {
        "A": "1/3",
        "B": "2/5",
        "C": "5/12",
        "D": "2/3"
      },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Simplify: (4/5) ÷ 2 = ?",
      "options": {
        "A": "2/5",
        "B": "1/5",
        "C": "4/5",
        "D": "8/5"
      },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "(3/7) × (14/9) = ?",
      "options": { "A": "2/3", "B": "3/2", "C": "6/7", "D": "7/6" },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "1/2 of 2/3 of 3/4 = ?",
      "options": { "A": "1/4", "B": "1/3", "C": "1/2", "D": "2/3" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "(2/3) ÷ (4/9) = ?",
      "options": { "A": "1/2", "B": "3/2", "C": "2", "D": "3" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Simplify: 4 × (1/8) = ?",
      "options": { "A": "1/2", "B": "1/4", "C": "1/8", "D": "1/16" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "(3/5) of (10/12) = ?",
      "options": { "A": "1/2", "B": "3/5", "C": "2/3", "D": "5/6" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "5 ÷ (1/4) = ?",
      "options": { "A": "5/4", "B": "10", "C": "15", "D": "20" },
      "correct_answer": "D"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "(7/8) × (4/7) = ?",
      "options": { "A": "1/2", "B": "2/3", "C": "3/4", "D": "4/5" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Simplify: (2/5) ÷ (1/10) = ?",
      "options": { "A": "1/4", "B": "1", "C": "2", "D": "4" },
      "correct_answer": "D"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Simplify: (2/3 + 1/4) ÷ (1/2) = ?",
      "options": { "A": "11/12", "B": "11/6", "C": "22/12", "D": "5/3" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "(3/4 - 1/3) × (2/5) = ?",
      "options": { "A": "1/6", "B": "1/5", "C": "2/15", "D": "5/24" },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Simplify: [1/2 ÷ 1/4] × 1/3 = ?",
      "options": { "A": "1/6", "B": "2/3", "C": "1", "D": "4/3" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "(2/3 + 1/6) ÷ (1/2 - 1/3) = ?",
      "options": { "A": "5", "B": "10", "C": "15", "D": "20" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Simplify: (3/5 × 10/9) ÷ (2/3) = ?",
      "options": { "A": "1", "B": "2/3", "C": "3/2", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "[1 - (1/3 + 1/4)] × 12 = ?",
      "options": { "A": "3", "B": "4", "C": "5", "D": "6" },
      "correct_answer": "C"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Simplify: (2/3 ÷ 4/9) + (1/2 × 2/3) = ?",
      "options": { "A": "3/2", "B": "5/3", "C": "7/3", "D": "11/6" },
      "correct_answer": "D"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "(5/6 - 1/3) ÷ (1/4 + 1/2) = ?",
      "options": { "A": "1/3", "B": "2/3", "C": "1", "D": "4/3" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Simplify: [3/4 × (2/3 + 1/6)] ÷ 1/2 = ?",
      "options": { "A": "5/4", "B": "5/8", "C": "15/8", "D": "15/4" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "(1/2 + 1/3) × (3/4 ÷ 1/8) = ?",
      "options": {
        "A": "5",
        "B": "6",
        "C": "10",
        "D": "15"
      },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Simplify: [1 - (2/5 × 3/4)] ÷ 1/10 = ?",
      "options": { "A": "7/2", "B": "7", "C": "14", "D": "28" },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "(3/4 ÷ 2/3) - (1/2 × 2/5) = ?",
      "options": {
        "A": "37/40",
        "B": "19/20",
        "C": "21/20",
        "D": "23/20"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Simplify: (5/6 + 2/3) ÷ (3/4 - 1/2) = ?",
      "options": { "A": "2", "B": "3", "C": "4", "D": "6" },
      "correct_answer": "D"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "[2/3 of (1/2 + 3/4)] × 6 = ?",
      "options": { "A": "3", "B": "4", "C": "5", "D": "6" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Simplify: (7/8 - 1/4) ÷ (1/2 + 1/6) = ?",
      "options": { "A": "5/8", "B": "15/16", "C": "15/8", "D": "15/4" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "(4/5 × 15/16) + (3/4 ÷ 9/8) = ?",
      "options": {
        "A": "17/12",
        "B": "5/4",
        "C": "3/2",
        "D": "7/4"
      },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Simplify: [1/2 ÷ (1/3 + 1/6)] × 4 = ?",
      "options": { "A": "2", "B": "3", "C": "4", "D": "6" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "(5/6 - 1/2) ÷ (2/3 × 3/4) = ?",
      "options": { "A": "1/3", "B": "2/3", "C": "1", "D": "4/3" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Simplify: (3/4 + 1/8) × (2/3 ÷ 1/6) = ?",
      "options": {
        "A": "7/2",
        "B": "7",
        "C": "14",
        "D": "21/2"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "[2 - (1/2 + 3/4)] ÷ 1/8 = ?",
      "options": { "A": "3", "B": "4", "C": "5", "D": "6" },
      "correct_answer": "D"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Simplify: [1 + 1/(1 + 1/2)] ÷ [2 - 1/(1 + 1/3)] = ? 🤯",
      "options": { "A": "1", "B": "4/3", "C": "3/2", "D": "2" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "(1/2 ÷ 1/3) of (3/4 ÷ 1/2) + (2/3 × 9/4) = ?",
      "options": {
        "A": "13/4",
        "B": "7/2",
        "C": "4",
        "D": "15/4"
      },
      "correct_answer": "D"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Simplify: [1/(1+1/2) + 1/(1-1/3)] × 3/5 = ?",
      "options": {
        "A": "11/10",
        "B": "13/10",
        "C": "3/4",
        "D": "4/5"
      },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "[2/3 of (1 - 1/4) ÷ 1/2] + [3/4 × (2 + 1/3)] = ?",
      "options": {
        "A": "11/4",
        "B": "5/2",
        "C": "3",
        "D": "7/2"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Simplify: (1 + 1/2)(1 + 1/3)(1 + 1/4) ÷ (1 - 1/5) = ?",
      "options": {
        "A": "5/2",
        "B": "25/8",
        "C": "7/2",
        "D": "4"
      },
      "correct_answer": "B"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "[1/(1/2+1/3) - 1/(1/3+1/4)] × 12 = ?",
      "options": {
        "A": "-216/35",
        "B": "-6",
        "C": "-5",
        "D": "-7"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Simplify: (3/4 ÷ 1/2) of (2/3 + 1/6) ÷ (5/6 - 1/3) = ?",
      "options": {
        "A": "1",
        "B": "3/2",
        "C": "2",
        "D": "5/2"
      },
      "correct_answer": "D"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "[1 - (1/2 × 2/3)] ÷ [1 + (1/4 ÷ 1/2)] + 1/3 = ?",
      "options": {
        "A": "7/9",
        "B": "2/3",
        "C": "3/4",
        "D": "4/5"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Simplify: (1 + 1/(1-1/2)) ÷ (2 - 1/(1+1/2)) = ?",
      "options": {
        "A": "2",
        "B": "9/4",
        "C": "3",
        "D": "7/2"
      },
      "correct_answer": "B"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "[2/3 of 3/4 ÷ 1/2] + [1/2 of 4/5 ÷ 2/3] - [3/4 of 2/3 ÷ 1/4] = ?",
      "options": {
        "A": "-2/5",
        "B": "0",
        "C": "1/5",
        "D": "2/5"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Simplify: 1/(1+1/(1+1/2)) + 1/(1-1/(1+1/3)) = ?",
      "options": {
        "A": "23/5",
        "B": "13/10",
        "C": "3/2",
        "D": "17/10"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "(2/3 ÷ 4/9) of (1 - 1/5) ÷ (3/4 × 8/9) + 1/2 = ?",
      "options": {
        "A": "2",
        "B": "23/10",
        "C": "5/2",
        "D": "3/2"
      },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Simplify: [1/(2-1/2) + 1/(3-1/3)] × (1 + 1/4) = ?",
      "options": {
        "A": "125/96",
        "B": "5/4",
        "C": "3/2",
        "D": "7/4"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "[3/4 of (2/3 ÷ 1/2) - 1/2 of (4/5 ÷ 2/3)] ÷ 1/10 = ?",
      "options": {
        "A": "4",
        "B": "5",
        "C": "10",
        "D": "15"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Simplify: (1 + 1/2)(1 - 1/3)(1 + 1/4)(1 - 1/5) = ?",
      "options": {
        "A": "1/2",
        "B": "3/4",
        "C": "1",
        "D": "5/4"
      },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "[1 ÷ (1/2+1/3)] × [1 - (1/4÷1/2)] + 2/3 = ?",
      "options": {
        "A": "19/15",
        "B": "4/3",
        "C": "5/3",
        "D": "2"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Simplify: (3/4 ÷ 1/2) ÷ (2/3 × 3/4) + (1/2 ÷ 1/4) ÷ (3/4 × 4/3) = ?",
      "options": {
        "A": "4",
        "B": "9/2",
        "C": "5",
        "D": "7/2"
      },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "[1 - 1/(2+1/2)] ÷ [1 + 1/(3-1/3)] × 2 = ?",
      "options": {
        "A": "48/55",
        "B": "1/2",
        "C": "2/3",
        "D": "3/4"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Simplify: (2/3 of 3/5 ÷ 1/10) - (1/4 of 4/5 ÷ 1/20) + (3/4 of 2/3 ÷ 1/6) = ?",
      "options": {
        "A": "1",
        "B": "2",
        "C": "3",
        "D": "4"
      },
      "correct_answer": "C"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "[1/(1-1/3) + 1/(1+1/2)] ÷ [2/(1+1/4) - 1/(1-1/5)] = ?",
      "options": {
        "A": "5/4",
        "B": "3/2",
        "C": "130/21",
        "D": "2"
      },
      "correct_answer": "C"
    }
  ]
}