{
  "title": "Properties and Operations (Rational Numbers) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "🎯 Which property is shown: 2/3 + 5/7 = 5/7 + 2/3 ? ✨", "options": {"A": "Associative", "B": "Commutative", "C": "Distributive", "D": "Identity"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "🧮 Find: 3/4 + 1/4 = ? 🧩", "options": {"A": "1", "B": "1/2", "C": "3/8", "D": "4/4"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "🌟 What is the additive inverse of 5/9? 🌟", "options": {"A": "9/5", "B": "-5/9", "C": "5/9", "D": "-9/5"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "🔢 Find: 2/3 × 3/4 = ? ✖️", "options": {"A": "5/7", "B": "6/12", "C": "1/2", "D": "2/4"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "🌈 What is the multiplicative identity for rational numbers? 🌈", "options": {"A": "0", "B": "1", "C": "-1", "D": "2"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "🎭 Simplify: 4/5 - 2/5 = ? ➖", "options": {"A": "2/5", "B": "6/5", "C": "2/10", "D": "1/5"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "🔍 Find reciprocal of 7/8? 🔄", "options": {"A": "8/7", "B": "-7/8", "C": "7/8", "D": "-8/7"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "✨ Which property: (2/3 × 4/5) × 6/7 = 2/3 × (4/5 × 6/7)? ✨", "options": {"A": "Commutative", "B": "Associative", "C": "Distributive", "D": "Closure"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "🧩 Find: 1/2 + 0 = ? 0️⃣", "options": {"A": "0", "B": "1/2", "C": "2", "D": "1"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "🎪 Multiply: 3/7 × 1 = ? 1️⃣", "options": {"A": "3/7", "B": "1", "C": "7/3", "D": "0"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "🔑 What is additive identity for rational numbers? 🔑", "options": {"A": "1", "B": "0", "C": "-1", "D": "2"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "🧠 Find: 5/6 ÷ 5/6 = ? ➗", "options": {"A": "0", "B": "1", "C": "5/6", "D": "6/5"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "🎨 Does 3/4 + (-3/4) = 0 show which property? 🎨", "options": {"A": "Commutative", "B": "Inverse", "C": "Associative", "D": "Identity"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "🌟 Calculate: 2/5 × 0 = ? 0️⃣", "options": {"A": "2/5", "B": "0", "C": "5/2", "D": "1"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "🎪 Find: 3/8 + 5/8 = ? ➕", "options": {"A": "8/16", "B": "1", "C": "8/8", "D": "2/8"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "🔢 Is 9/11 × 11/9 = 1 showing which property? 🔢", "options": {"A": "Associative", "B": "Commutative", "C": "Multiplicative Inverse", "D": "Distributive"}, "correct_answer": "C"},
    {"id": 17, "difficulty": "easy", "question": "🧮 Simplify: 7/9 - 7/9 = ? ➖", "options": {"A": "0", "B": "1", "C": "14/9", "D": "7/9"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "🌈 Find: 4/5 × 5/4 = ? ✖️", "options": {"A": "20/20", "B": "1", "C": "0", "D": "5/5"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "🎯 What is -2/3 + 2/3? 🎯", "options": {"A": "-4/3", "B": "4/3", "C": "0", "D": "2/3"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "✨ Multiply: 0 × 6/7 = ? 0️⃣", "options": {"A": "6/7", "B": "0", "C": "7/6", "D": "1"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "🧩 Solve using distributive: 2/3 × (1/4 + 5/6) = ? 📐", "options": {"A": "13/18", "B": "13/36", "C": "26/36", "D": "7/9"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "🔍 Find: (-5/8) + 3/4 - 1/2 = ? ➕➖", "options": {"A": "-3/8", "B": "1/8", "C": "-1/8", "D": "3/8"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "🎭 Which rational number is its own additive inverse? 🎭", "options": {"A": "1", "B": "-1", "C": "0", "D": "2"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "🌟 Simplify: (2/3 ÷ 4/5) × 6/7 = ? ➗✖️", "options": {"A": "5/7", "B": "10/21", "C": "15/14", "D": "20/21"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "🌈 Find: 3/4 of 5/6 = ? 🧮", "options": {"A": "15/24", "B": "5/8", "C": "9/10", "D": "8/10"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "🔢 Solve: 5/7 - (2/3 + 1/14) = ? 🔢", "options": {"A": "-1/42", "B": "1/42", "C": "-5/42", "D": "5/42"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "🎨 Find x if: x + 3/5 = 7/10 🧩", "options": {"A": "1/10", "B": "13/10", "C": "-1/10", "D": "10/10"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "✨ Verify: 2/3 × (4/5 - 1/2) = (2/3 × 4/5) - (2/3 × 1/2) shows which property? ✨", "options": {"A": "Commutative", "B": "Associative", "C": "Distributive", "D": "Closure"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "🧠 Find: 7/8 ÷ 14/16 = ? ➗", "options": {"A": "1", "B": "2", "C": "1/2", "D": "4/7"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "🎪 Solve: (3/4 + 2/3) - 5/6 = ? 🧮", "options": {"A": "5/12", "B": "7/12", "C": "1/2", "D": "3/4"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "🔑 Which is greater: 5/7 or 7/10? ⚖️", "options": {"A": "5/7", "B": "7/10", "C": "Equal", "D": "Cannot compare"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "🌟 Simplify: 2/5 × 15/4 ÷ 3/2 = ? ✖️➗", "options": {"A": "1", "B": "3/2", "C": "2/3", "D": "5/4"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "🎯 Find missing: 4/9 × □ = 1 🔄", "options": {"A": "9/4", "B": "4/9", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "🧮 Solve: 1 - (2/3 + 1/4) = ? ➖➕", "options": {"A": "1/12", "B": "-1/12", "C": "11/12", "D": "5/12"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "🌈 Arrange ascending: 2/3, 5/6, 7/12 📈", "options": {"A": "7/12, 2/3, 5/6", "B": "5/6, 2/3, 7/12", "C": "2/3, 5/6, 7/12", "D": "7/12, 5/6, 2/3"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "🔢 Find: (-3/5) × (10/9) × (3/4) = ? ✖️", "options": {"A": "-1/2", "B": "1/2", "C": "-9/20", "D": "9/20"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "🎭 If a = 2/3, b = -3/4, find a × b = ? 🎭", "options": {"A": "-1/2", "B": "1/2", "C": "-6/12", "D": "6/12"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "✨ Simplify: (5/6 ÷ 2/3) + (1/4 × 2) = ? ➗✖️➕", "options": {"A": "2", "B": "3/2", "C": "5/4", "D": "7/4"}, "correct_answer": "D"},
    {"id": 39, "difficulty": "medium", "question": "🧩 Find: 2/3 of (3/4 + 1/2) = ? 🧮", "options": {"A": "5/6", "B": "5/12", "C": "10/12", "D": "7/12"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "🔍 Solve: 7/8 - 2/3 + 1/6 = ? ➖➕", "options": {"A": "3/8", "B": "5/8", "C": "7/24", "D": "17/24"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "🌟 Simplify: [ (2/3 + 1/4) ÷ (5/6 - 1/3) ] × 2/5 = ? 📊", "options": {"A": "22/45", "B": "11/15", "C": "2/3", "D": "1/2"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "🧮 Find x: (3/4 - x) ÷ 1/2 = 5/6 ➗🔢", "options": {"A": "1/3", "B": "2/3", "C": "1/6", "D": "5/12"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "🎯 Simplify: 1/2 + 1/3 + 1/4 + 1/5 - 1/6 = ? 🧠", "options": {"A": "57/60", "B": "19/20", "C": "29/30", "D": "39/40"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "hard", "question": "🌈 If a = -2/3, b = 3/4, c = -4/5, find a × b × c = ? ✖️✖️", "options": {"A": "2/5", "B": "-2/5", "C": "8/15", "D": "-8/15"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "🔢 Solve: (7/8 ÷ 14/16) + (3/5 × 10/9) - 1/2 = ? ➗✖️➖", "options": {"A": "4/3", "B": "5/6", "C": "1", "D": "7/6"}, "correct_answer": "D"},
    {"id": 46, "difficulty": "hard", "question": "🎭 Find: [2/3 of (1/2 + 3/4)] ÷ (5/6 - 1/3) = ? 📐", "options": {"A": "5/3", "B": "10/9", "C": "4/3", "D": "7/6"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "✨ Simplify: 1 - [1 - {1 - (1 - 1/2)}] = ? 🧩", "options": {"A": "1/2", "B": "0", "C": "1", "D": "1/4"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "🧠 If x = 2/3, y = -3/4, z = 4/5, find x ÷ y + z = ? ➗➕", "options": {"A": "-22/15", "B": "22/15", "C": "-8/15", "D": "8/15"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "🎨 Solve: 3/4 - [5/6 - {7/8 - (2/3 + 1/4)}] = ? 🎨", "options": {"A": "1/24", "B": "23/24", "C": "25/24", "D": "-1/24"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "🔑 Simplify: (1/2 + 1/3) × (1/4 - 1/5) ÷ (1/6 + 1/7) = ? ✖️➗", "options": {"A": "5/143", "B": "5/286", "C": "5/572", "D": "5/429"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "🌟 Find: 2/3 of 3/4 of 4/5 of 100 = ? 🧮", "options": {"A": "40", "B": "50", "C": "60", "D": "70"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "🧩 Solve: (5/7 + 3/4) ÷ (2/3 - 1/5) = ? ➗", "options": {"A": "123/98", "B": "41/28", "C": "123/56", "D": "41/56"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "🎯 Simplify: 1/(1+1/(1+1/2)) = ? 🔄", "options": {"A": "3/5", "B": "2/3", "C": "3/4", "D": "5/8"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "🌈 Find: (2 - 1/3) × (3 - 1/4) ÷ (4 - 1/5) = ? ✖️➗", "options": {"A": "175/228", "B": "175/114", "C": "25/38", "D": "125/228"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "🔢 If 3/5 of a number is 45, find 2/3 of that number. 🔢", "options": {"A": "50", "B": "60", "C": "70", "D": "80"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "🎭 Simplify: [ (1/2 + 1/3) ÷ (3/4 - 1/6) ] × (5/7 + 2/3) = ? 📊", "options": {"A": "290/343", "B": "145/343", "C": "290/147", "D": "145/147"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "✨ Find x: 3/4 + x - 1/2 = 5/6 × 3/5 🔍", "options": {"A": "1/5", "B": "2/5", "C": "3/10", "D": "7/20"}, "correct_answer": "D"},
    {"id": 58, "difficulty": "hard", "question": "🧠 Simplify: 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 = ? ➕➖", "options": {"A": "37/60", "B": "47/60", "C": "57/60", "D": "67/60"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "🎨 Find: 2/3 ÷ (4/5 of 10/12) + 3/4 × (2/3 - 1/6) = ? ➗✖️➕", "options": {"A": "2", "B": "3/2", "C": "5/4", "D": "7/4"}, "correct_answer": "A"},
    {"id": 60, "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": "5/6"}, "correct_answer": "A"}
  ]
}