{
  "title": "Operations on Rational Numbers - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is 1/3 + 1/6? 🍰",
      "options": { "A": "1/9", "B": "1/2", "C": "2/9", "D": "1/4" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Calculate: 2/5 - 1/10",
      "options": { "A": "1/10", "B": "3/10", "C": "1/5", "D": "1/2" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Multiply: (2/3) × (3/4) ✖️",
      "options": { "A": "1/2", "B": "5/12", "C": "6/12", "D": "2/4" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Divide: (4/5) ÷ (2/5)",
      "options": { "A": "2", "B": "8/25", "C": "6/5", "D": "10/20" },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Add: 0.25 + 0.75",
      "options": { "A": "0.90", "B": "1.0", "C": "0.95", "D": "1.05" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Subtract: 7/8 - 3/8",
      "options": { "A": "1/4", "B": "4/8", "C": "1/2", "D": "5/8" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Find: (1/2) × 8 🎯",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "What is 1 ÷ (1/4)?",
      "options": { "A": "1/4", "B": "4", "C": "1", "D": "2" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Add the fractions: 1/5 + 2/5",
      "options": { "A": "3/10", "B": "2/5", "C": "3/5", "D": "1/5" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Subtract: 0.9 - 0.4",
      "options": { "A": "0.4", "B": "0.5", "C": "0.6", "D": "1.3" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Multiply: 5 × (1/10)",
      "options": { "A": "1/2", "B": "5/10", "C": "1/50", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Divide: 3/4 ÷ 3",
      "options": { "A": "9/4", "B": "1/4", "C": "3/12", "D": "12/3" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Find the sum: -1/4 + 1/2",
      "options": { "A": "-1/2", "B": "1/4", "C": "3/4", "D": "-3/4" },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Calculate: (0.2) × (0.3)",
      "options": { "A": "0.6", "B": "0.06", "C": "0.5", "D": "0.006" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "What is 2/3 of 12? 🍩",
      "options": { "A": "6", "B": "8", "C": "9", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Subtract: 1 - 2/7",
      "options": { "A": "5/7", "B": "3/7", "C": "4/7", "D": "6/7" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Multiply: (-2/5) × (3/4)",
      "options": { "A": "3/10", "B": "-3/10", "C": "-6/20", "D": "5/9" },
      "correct_answer": "B"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Add: 3.5 + 2.25",
      "options": { "A": "5.25", "B": "5.75", "C": "6.0", "D": "5.5" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Divide: 0.8 ÷ 4",
      "options": { "A": "0.2", "B": "0.4", "C": "0.02", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Find: 1/8 + 3/8 + 1/8",
      "options": { "A": "4/8", "B": "5/8", "C": "3/8", "D": "6/8" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "Simplify: (3/4 + 1/6) - 1/3 🧮",
      "options": { "A": "7/12", "B": "5/12", "C": "1/2", "D": "11/12" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Calculate: (-5/6) + (7/8) - (1/4)",
      "options": { "A": "1/24", "B": "-1/24", "C": "11/24", "D": "13/24" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Find: (2/3 × 9/10) ÷ (3/5)",
      "options": { "A": "1", "B": "2/3", "C": "9/10", "D": "3/2" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "What is (0.75 × 1.2) + 0.1? ✨",
      "options": { "A": "0.9", "B": "1.0", "C": "1.1", "D": "0.85" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Simplify: (7/12 ÷ 14/15) × 4/5",
      "options": { "A": "1/2", "B": "2/5", "C": "3/5", "D": "7/10" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "The product of two rationals is -15/28. If one is -5/7, find the other. 🔎",
      "options": { "A": "3/4", "B": "-3/4", "C": "4/3", "D": "-4/3" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Add: 1.25 + 3/4 + 0.5",
      "options": { "A": "2.5", "B": "2.75", "C": "2.25", "D": "3.0" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "By what number should -3/8 be multiplied to get 5/12? 🤔",
      "options": { "A": "-10/9", "B": "-9/10", "C": "10/9", "D": "9/10" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Find: 4/9 of (3/4 + 2/3)",
      "options": { "A": "17/27", "B": "1/3", "C": "5/9", "D": "20/27" },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Simplify: (-2/5) × (15/8) + (3/4) ➕✖️",
      "options": { "A": "0", "B": "3/10", "C": "-3/4", "D": "1/2" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "What is (5/6 - 2/3) ÷ (1/4)?",
      "options": { "A": "2/3", "B": "1/3", "C": "1/6", "D": "1/2" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "If a = -4/5, b = 3/10, find a + b and a - b. 🧩",
      "options": {
        "A": "-1/2 and -11/10",
        "B": "-1/10 and -11/10",
        "C": "1/10 and -1/2",
        "D": "-1/2 and 1/2"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Calculate: 0.6 ÷ 0.2 + 0.4 × 0.5",
      "options": { "A": "3.2", "B": "3.0", "C": "2.8", "D": "3.4" },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Find the sum of the additive inverse and multiplicative inverse of 2/5. 🔄",
      "options": { "A": "-21/10", "B": "21/10", "C": "-29/10", "D": "29/10" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Simplify: [ (1/2 + 1/3) × (1/4 - 1/6) ]",
      "options": { "A": "1/12", "B": "5/72", "C": "5/36", "D": "1/6" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "What is 1/2 of (0.8 + 1.2) ÷ 0.5? 🏹",
      "options": { "A": "1", "B": "2", "C": "1.5", "D": "2.5" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Divide the sum of 5/6 and -3/4 by their difference.",
      "options": { "A": "1/19", "B": "-1/19", "C": "19", "D": "-19" },
      "correct_answer": "B"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Find: (3.2 × 0.25) ÷ 0.8",
      "options": { "A": "1.0", "B": "1.2", "C": "0.8", "D": "1.5" },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Simplify: (-7/9) ÷ (14/27) + 1/2",
      "options": { "A": "-1", "B": "0", "C": "1", "D": "-1/2" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "What number added to -3/7 gives 2/5? ➕",
      "options": { "A": "-11/35", "B": "29/35", "C": "-29/35", "D": "11/35" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "Simplify: [ (-5/6) × (9/25) ] ÷ [ (2/3) + (-4/5) ] 🤯",
      "options": { "A": "45/4", "B": "-45/4", "C": "4/45", "D": "-4/45" },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Find x if: x - (5/6 - 7/8) = 11/24",
      "options": { "A": "1/2", "B": "3/4", "C": "5/6", "D": "7/8" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "What is the result of: (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/10)? 🌀",
      "options": { "A": "1/10", "B": "1/9", "C": "1/2", "D": "1/100" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "If a/b = 3/4 and b/c = 5/6, find a/c.",
      "options": { "A": "5/8", "B": "9/10", "C": "15/24", "D": "10/12" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Simplify: (0.3 × 0.3 + 0.3 × 0.2 + 0.2 × 0.2) ÷ (0.5 × 0.5) 🧠",
      "options": { "A": "1", "B": "0.95", "C": "0.76", "D": "0.64" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "The sum of two rationals is -4/5. If one is -7/10, find the other and their product.",
      "options": {
        "A": "-1/10 and 7/100",
        "B": "1/10 and -7/100",
        "C": "-1/10 and -7/100",
        "D": "-1/10 and 7/100"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Find the value of: 1/(1+1/(1+1/2))",
      "options": { "A": "3/5", "B": "5/3", "C": "2/3", "D": "3/2" },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "If p = 1/2 - 1/3 + 1/4 - 1/5, find 60p. ⚡",
      "options": { "A": "17", "B": "19", "C": "21", "D": "23" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "A number is multiplied by 3/4 and then divided by 1/2 to get 9. Find the number. 🔢",
      "options": { "A": "6", "B": "8", "C": "10", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Simplify: [(-2/3)² - (1/4)²] ÷ [(-2/3) - (1/4)]",
      "options": { "A": "-5/12", "B": "5/12", "C": "-11/12", "D": "11/12" },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Find: (0.1 + 0.2 + 0.3) × (0.1 + 0.2 + 0.3 + 0.4) - (0.1 × 0.2 × 0.3) 🎲",
      "options": { "A": "0.594", "B": "0.6", "C": "0.606", "D": "0.594" },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If 2/3 of a number is 4/5, what is 5/6 of that number? 🎁",
      "options": { "A": "1", "B": "5/6", "C": "6/5", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "The product of a rational number and its reciprocal added to its additive inverse is 0. If the number is not ±1, what is the number? 🧩",
      "options": {
        "A": "Any number except 0, 1, -1",
        "B": "Only 0",
        "C": "Only 1",
        "D": "Only -1"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Evaluate: 1 - 1/(1+1/(1-1/3))",
      "options": { "A": "1/5", "B": "-1/5", "C": "3/5", "D": "2/5" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "What is the sum of all rational numbers of the form p/12 where p is an integer from -5 to 5? 📊",
      "options": { "A": "0", "B": "1", "C": "5/12", "D": "11/12" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Simplify: ( (7/8 ÷ 21/16) + (5/6 × 9/10) ) - 1/2",
      "options": { "A": "1", "B": "5/6", "C": "2/3", "D": "7/12" },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "If x/y = 2/3 and y/z = 4/5, find (x+y)/(y+z). 🔗",
      "options": { "A": "20/27", "B": "27/20", "C": "10/13", "D": "13/10" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Find the missing number: ( ? ) × ( -15/28 ) = (5/7) ÷ ( -4/3 )",
      "options": { "A": "4/5", "B": "-4/5", "C": "5/4", "D": "-5/4" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Calculate: [1 - {1 - (1 - 1/2)(1 - 1/3)}] ÷ 1/6",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "What is the value of 0.9 ÷ 0.3 + 0.6 × 0.2 - 0.1 ÷ 0.5? ⚖️",
      "options": { "A": "3.02", "B": "2.92", "C": "3.12", "D": "2.82" },
      "correct_answer": "B"
    }
  ]
}