{
  "title": "Proper, Improper & Mixed Fractions - Grade 6 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Which of these is a proper fraction?", "options": {"A": "5/4", "B": "3/2", "C": "2/3", "D": "7/5"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "Which of these is an improper fraction?", "options": {"A": "1/2", "B": "3/4", "C": "5/3", "D": "2/5"}, "correct_answer": "C"},
    {"id": 3, "difficulty": "easy", "question": "Convert 5/2 to a mixed fraction", "options": {"A": "2 1/2", "B": "2 1/4", "C": "3 1/2", "D": "1 3/2"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Convert 3 1/4 to an improper fraction", "options": {"A": "13/4", "B": "7/4", "C": "4/13", "D": "12/4"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Identify the mixed fraction", "options": {"A": "7/3", "B": "2 1/3", "C": "5/2", "D": "9/4"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Which is NOT a proper fraction?", "options": {"A": "3/8", "B": "5/6", "C": "7/4", "D": "2/9"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "Convert 7/3 to mixed fraction", "options": {"A": "2 1/3", "B": "3 1/3", "C": "1 4/3", "D": "4 1/3"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Convert 2 3/5 to improper fraction", "options": {"A": "13/5", "B": "10/5", "C": "7/5", "D": "6/5"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "In a proper fraction, the numerator is _______ the denominator", "options": {"A": "greater than", "B": "less than", "C": "equal to", "D": "twice"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "In an improper fraction, the numerator is _______ the denominator", "options": {"A": "greater than or equal to", "B": "less than", "C": "equal to only", "D": "half of"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Which is a mixed fraction?", "options": {"A": "11/7", "B": "3 2/5", "C": "8/3", "D": "9/2"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "Convert 9/4 to mixed fraction", "options": {"A": "2 1/4", "B": "3 1/4", "C": "1 5/4", "D": "4 1/4"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Convert 4 2/3 to improper fraction", "options": {"A": "14/3", "B": "12/3", "C": "10/3", "D": "8/3"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Which is an improper fraction?", "options": {"A": "2/7", "B": "5/9", "C": "8/5", "D": "3/10"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "Identify the proper fraction", "options": {"A": "9/8", "B": "7/6", "C": "4/5", "D": "5/4"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Convert 11/5 to mixed fraction", "options": {"A": "1 1/5", "B": "2 1/5", "C": "3 1/5", "D": "4 1/5"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "Convert 5 1/2 to improper fraction", "options": {"A": "10/2", "B": "11/2", "C": "12/2", "D": "9/2"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "A mixed fraction has _______ parts", "options": {"A": "whole number and proper fraction", "B": "two proper fractions", "C": "two whole numbers", "D": "whole number and improper fraction"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Convert 15/4 to mixed fraction", "options": {"A": "3 1/4", "B": "3 3/4", "C": "4 1/4", "D": "2 7/4"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "Convert 6 3/8 to improper fraction", "options": {"A": "48/8", "B": "45/8", "C": "51/8", "D": "42/8"}, "correct_answer": "C"},
    {"id": 21, "difficulty": "medium", "question": "Which of these can be written as a mixed fraction?", "options": {"A": "7/9", "B": "12/7", "C": "3/8", "D": "5/11"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "Convert 17/6 to mixed fraction in simplest form", "options": {"A": "2 5/6", "B": "3 1/6", "C": "2 1/6", "D": "3 5/6"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Convert 8 5/12 to improper fraction", "options": {"A": "101/12", "B": "96/12", "C": "93/12", "D": "98/12"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Which is NOT a mixed fraction?", "options": {"A": "2 3/4", "B": "1 7/8", "C": "5 1/3", "D": "9/2"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "Add: 2 1/3 + 1 1/2 (express as mixed fraction)", "options": {"A": "3 5/6", "B": "3 2/5", "C": "4 1/6", "D": "3 3/5"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Subtract: 3 3/4 - 1 1/2 (express as mixed fraction)", "options": {"A": "2 1/4", "B": "2 1/2", "C": "1 3/4", "D": "2 3/4"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Convert 1.75 to mixed fraction", "options": {"A": "1 3/4", "B": "1 1/2", "C": "1 2/3", "D": "1 4/5"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Convert 2.6 to mixed fraction", "options": {"A": "2 3/5", "B": "2 2/3", "C": "2 1/2", "D": "2 4/5"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Which improper fraction equals 4 2/7?", "options": {"A": "28/7", "B": "30/7", "C": "26/7", "D": "32/7"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "What mixed fraction equals 19/4?", "options": {"A": "4 3/4", "B": "3 3/4", "C": "5 1/4", "D": "4 1/4"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Add: 5/3 + 7/4 (express as mixed fraction)", "options": {"A": "3 5/12", "B": "2 11/12", "C": "3 1/12", "D": "2 5/12"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Subtract: 11/5 - 4/3 (express as mixed fraction)", "options": {"A": "1 2/15", "B": "1 8/15", "C": "2 2/15", "D": "2 8/15"}, "correct_answer": "B"},
    {"id": 33, "difficulty": "medium", "question": "Convert 0.375 to proper fraction", "options": {"A": "3/8", "B": "5/16", "C": "7/20", "D": "9/24"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Convert 1.2 to mixed fraction", "options": {"A": "1 1/5", "B": "1 1/4", "C": "1 1/3", "D": "1 1/2"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Which is greater: 7/3 or 2 1/3?", "options": {"A": "7/3", "B": "2 1/3", "C": "Both are equal", "D": "Cannot compare"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Arrange in ascending order: 5/2, 2 1/4, 9/4", "options": {"A": "5/2, 2 1/4, 9/4", "B": "9/4, 5/2, 2 1/4", "C": "2 1/4, 9/4, 5/2", "D": "9/4, 2 1/4, 5/2"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "Convert 3.125 to mixed fraction", "options": {"A": "3 1/8", "B": "3 1/4", "C": "3 1/5", "D": "3 1/6"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Add: 3 2/5 + 2 3/4", "options": {"A": "6 3/20", "B": "5 5/9", "C": "6 5/9", "D": "5 3/20"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Subtract: 4 1/3 - 2 2/5", "options": {"A": "1 14/15", "B": "2 1/15", "C": "1 11/15", "D": "2 4/15"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Convert 2.8 to mixed fraction", "options": {"A": "2 4/5", "B": "2 3/4", "C": "2 7/10", "D": "2 5/6"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Which mixed fraction equals 2.75?", "options": {"A": "2 3/4", "B": "2 2/3", "C": "2 4/5", "D": "2 7/8"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Add: 1.5 + 2 1/4", "options": {"A": "3 3/4", "B": "3 1/2", "C": "4", "D": "3 2/3"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "Subtract: 3.6 - 1 3/5", "options": {"A": "2", "B": "2 1/5", "C": "1 4/5", "D": "2 1/10"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "Convert 23/5 to decimal", "options": {"A": "4.6", "B": "4.4", "C": "5.2", "D": "4.8"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "medium", "question": "Convert 3 7/8 to decimal", "options": {"A": "3.785", "B": "3.825", "C": "3.875", "D": "3.925"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "Which is smallest: 8/3, 2.6, or 2 2/3?", "options": {"A": "8/3", "B": "2.6", "C": "2 2/3", "D": "All equal"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "Arrange in descending order: 7/2, 3.4, 3 1/3", "options": {"A": "7/2, 3.4, 3 1/3", "B": "3.4, 7/2, 3 1/3", "C": "7/2, 3 1/3, 3.4", "D": "3.4, 3 1/3, 7/2"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "Multiply: 2 1/2 × 1 3/5", "options": {"A": "4", "B": "3 1/2", "C": "4 1/2", "D": "5"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "Divide: 3 1/3 ÷ 1 2/3", "options": {"A": "2", "B": "1 1/2", "C": "2 1/2", "D": "3"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Convert 4.2 to mixed fraction in simplest form", "options": {"A": "4 1/5", "B": "4 1/4", "C": "4 1/3", "D": "4 1/2"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Add: 2.5 + 1 3/4 + 0.75", "options": {"A": "5", "B": "4 3/4", "C": "5 1/4", "D": "4 1/2"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Subtract: 5 1/2 - 2.25", "options": {"A": "3 1/4", "B": "3 1/2", "C": "2 3/4", "D": "3 3/4"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Convert 17/8 to decimal", "options": {"A": "2.125", "B": "2.25", "C": "2.375", "D": "2.5"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Convert 2.375 to improper fraction", "options": {"A": "19/8", "B": "17/8", "C": "21/8", "D": "23/8"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Which is NOT equivalent to 2.5?", "options": {"A": "5/2", "B": "2 1/2", "C": "10/4", "D": "2 2/5"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "Arrange: 11/4, 2.7, 2 3/5 in ascending order", "options": {"A": "11/4, 2.7, 2 3/5", "B": "2 3/5, 2.7, 11/4", "C": "2.7, 11/4, 2 3/5", "D": "11/4, 2 3/5, 2.7"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Multiply: 1 1/3 × 2 1/4", "options": {"A": "3", "B": "2 2/3", "C": "3 1/3", "D": "4"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Divide: 4 1/2 ÷ 1 1/2", "options": {"A": "2", "B": "3", "C": "2 1/2", "D": "3 1/2"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Convert 3.6 to mixed fraction", "options": {"A": "3 3/5", "B": "3 2/3", "C": "3 4/5", "D": "3 5/6"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Add: 3/2 + 5/4 + 7/8 (as mixed fraction)", "options": {"A": "3 5/8", "B": "3 1/8", "C": "2 7/8", "D": "3 3/8"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Subtract: 4 2/3 - 1.75", "options": {"A": "2 11/12", "B": "2 5/6", "C": "3 1/12", "D": "2 7/12"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Convert 5.125 to improper fraction", "options": {"A": "41/8", "B": "42/8", "C": "43/8", "D": "44/8"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Which equals 3.2?", "options": {"A": "16/5", "B": "3 1/5", "C": "32/10", "D": "All of these"}, "correct_answer": "D"},
    {"id": 64, "difficulty": "medium", "question": "Arrange: 2.3, 7/3, 2 1/4 in descending order", "options": {"A": "7/3, 2.3, 2 1/4", "B": "2.3, 7/3, 2 1/4", "C": "7/3, 2 1/4, 2.3", "D": "2 1/4, 2.3, 7/3"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Multiply: 2.5 × 1 3/5", "options": {"A": "4", "B": "3.5", "C": "4.5", "D": "5"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Divide: 3.6 ÷ 1 1/5", "options": {"A": "2.5", "B": "3", "C": "2.8", "D": "3.2"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "Convert 4.8 to mixed fraction", "options": {"A": "4 4/5", "B": "4 3/4", "C": "4 5/6", "D": "4 7/8"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Add: 1.25 + 2 1/3 + 0.75", "options": {"A": "4 1/3", "B": "4 1/4", "C": "4 1/2", "D": "4 5/12"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Subtract: 5.5 - 2 2/3", "options": {"A": "2 5/6", "B": "3 1/6", "C": "2 2/3", "D": "3 1/3"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Convert 29/6 to mixed fraction", "options": {"A": "4 5/6", "B": "5 1/6", "C": "4 1/6", "D": "5 5/6"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Which is NOT a proper way to write 3.75?", "options": {"A": "15/4", "B": "3 3/4", "C": "14/4", "D": "3 75/100"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "Arrange: 8/3, 2.6, 2 5/8 in ascending order", "options": {"A": "2.6, 2 5/8, 8/3", "B": "2 5/8, 2.6, 8/3", "C": "8/3, 2.6, 2 5/8", "D": "2.6, 8/3, 2 5/8"}, "correct_answer": "B"},
    {"id": 73, "difficulty": "medium", "question": "Multiply: 1 2/3 × 2.4", "options": {"A": "4", "B": "3.6", "C": "4.2", "D": "3.8"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Divide: 4 1/2 ÷ 0.75", "options": {"A": "5", "B": "6", "C": "5.5", "D": "6.5"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "medium", "question": "Convert 3.142 to mixed fraction (approx)", "options": {"A": "3 71/500", "B": "3 1/7", "C": "3 7/50", "D": "3 14/100"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "Add: 2 3/8 + 1.625 + 5/4", "options": {"A": "5 1/2", "B": "5 3/4", "C": "6", "D": "5 5/8"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "Subtract: 7.25 - 3 5/6", "options": {"A": "3 5/12", "B": "3 1/3", "C": "3 7/12", "D": "3 1/2"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "Convert 35/8 to decimal", "options": {"A": "4.375", "B": "4.25", "C": "4.5", "D": "4.625"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "Which equals 4.6?", "options": {"A": "23/5", "B": "4 3/5", "C": "46/10", "D": "All of these"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "medium", "question": "Arrange: 3.3, 10/3, 3 1/4 in descending order", "options": {"A": "10/3, 3.3, 3 1/4", "B": "3.3, 10/3, 3 1/4", "C": "10/3, 3 1/4, 3.3", "D": "3 1/4, 3.3, 10/3"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "Convert 2.41666... to mixed fraction", "options": {"A": "2 5/12", "B": "2 7/18", "C": "2 3/8", "D": "2 9/20"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Convert 1.2727... to improper fraction", "options": {"A": "14/11", "B": "15/11", "C": "16/11", "D": "17/11"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Add: 2.333... + 1 2/3", "options": {"A": "4", "B": "4 1/3", "C": "4 1/6", "D": "3 2/3"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "Subtract: 5.1666... - 2 5/6", "options": {"A": "2 1/3", "B": "2 1/2", "C": "2 2/3", "D": "2 5/6"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Convert 3.142857... to mixed fraction (π approximation)", "options": {"A": "3 1/7", "B": "3 16/113", "C": "3 7/50", "D": "3 71/500"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Which expression equals 4.5?", "options": {"A": "(7/2 + 5/4)", "B": "(3 1/3 × 1.35)", "C": "(5 1/4 - 0.75)", "D": "All of these"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "Arrange: 2.714..., 19/7, 2 5/7 in ascending order", "options": {"A": "2 5/7, 2.714..., 19/7", "B": "2.714..., 2 5/7, 19/7", "C": "19/7, 2.714..., 2 5/7", "D": "2 5/7, 19/7, 2.714..."}, "correct_answer": "D"},
    {"id": 88, "difficulty": "hard", "question": "Multiply: 2.25 × 1.777...", "options": {"A": "4", "B": "3.6", "C": "4.5", "D": "4.2"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "Divide: 5.333... ÷ 1 1/3", "options": {"A": "4", "B": "3.5", "C": "4.2", "D": "3.8"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Convert √4.84 to mixed fraction", "options": {"A": "2 21/25", "B": "2 4/5", "C": "2 11/25", "D": "2 1/2"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Add: 1.414... + √2 (as mixed fraction approx)", "options": {"A": "2 5/7", "B": "2 13/20", "C": "2 4/5", "D": "2 3/4"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "Subtract: 3.1416 - 22/7", "options": {"A": "0.00126 (approx)", "B": "0.00286 (approx)", "C": "0.00316 (approx)", "D": "0.00426 (approx)"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "Convert 1.618... (Golden ratio) to improper fraction approximation", "options": {"A": "21/13", "B": "34/21", "C": "55/34", "D": "89/55"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "Which is closest to π: 3.14, 22/7, or 3 1/7?", "options": {"A": "3.14", "B": "22/7", "C": "3 1/7", "D": "22/7 and 3 1/7 are same"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Arrange: √10, 3.162, 3 5/32 in ascending order", "options": {"A": "3 5/32, √10, 3.162", "B": "3.162, √10, 3 5/32", "C": "√10, 3.162, 3 5/32", "D": "3 5/32, 3.162, √10"}, "correct_answer": "D"},
    {"id": 96, "difficulty": "hard", "question": "Multiply: (1 + √2) × (1 - 1/√2) (approx as mixed fraction)", "options": {"A": "1 1/4", "B": "1 1/2", "C": "1 3/4", "D": "2"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "Divide: (2.5 + 1.5) ÷ (1 1/3 - 1/3)", "options": {"A": "3", "B": "3.5", "C": "4", "D": "4.5"}, "correct_answer": "C"},
    {"id": 98, "difficulty": "hard", "question": "Convert 0.142857142857... to proper fraction", "options": {"A": "1/6", "B": "1/7", "C": "1/8", "D": "1/9"}, "correct_answer": "B"},
    {"id": 99, "difficulty": "hard", "question": "If 5/3 = a/b where a and b are integers and b ≠ 0, which must be true?", "options": {"A": "a < b", "B": "a = b", "C": "a > b", "D": "a = 5, b = 3 only"}, "correct_answer": "C"},
    {"id": 100, "difficulty": "hard", "question": "A mixed fraction is always _______ than its whole number part", "options": {"A": "greater", "B": "less", "C": "equal", "D": "cannot say"}, "correct_answer": "A"}
    ,{"id":101,"difficulty":"easy","question":"Which is a proper fraction?","options":{"A":"9/7","B":"4/9","C":"11/5","D":"7/7"},"correct_answer":"B"},
{"id":102,"difficulty":"easy","question":"Which is an improper fraction?","options":{"A":"5/8","B":"3/10","C":"9/4","D":"7/9"},"correct_answer":"C"},
{"id":103,"difficulty":"easy","question":"Convert 13/4 to a mixed fraction","options":{"A":"3 1/4","B":"3 3/4","C":"4 1/4","D":"2 3/4"},"correct_answer":"B"},
{"id":104,"difficulty":"easy","question":"Convert 1 5/6 to an improper fraction","options":{"A":"11/6","B":"10/6","C":"6/11","D":"9/6"},"correct_answer":"A"},
{"id":105,"difficulty":"easy","question":"Which is NOT a mixed fraction?","options":{"A":"2 1/5","B":"3 3/4","C":"7/3","D":"1 7/8"},"correct_answer":"C"},
{"id":106,"difficulty":"easy","question":"Which is a proper fraction?","options":{"A":"8/3","B":"5/4","C":"6/7","D":"9/8"},"correct_answer":"C"},
{"id":107,"difficulty":"easy","question":"Convert 10/3 to mixed fraction","options":{"A":"3 1/3","B":"3 2/3","C":"2 1/3","D":"4 1/3"},"correct_answer":"A"},
{"id":108,"difficulty":"easy","question":"Convert 4 1/5 to improper fraction","options":{"A":"21/5","B":"20/5","C":"17/5","D":"16/5"},"correct_answer":"A"},
{"id":109,"difficulty":"easy","question":"Which fraction equals 2 1/2?","options":{"A":"3/2","B":"4/2","C":"5/2","D":"6/2"},"correct_answer":"C"},
{"id":110,"difficulty":"easy","question":"In an improper fraction, numerator is","options":{"A":"less than denominator","B":"greater than denominator","C":"always half","D":"always smaller"},"correct_answer":"B"},
{"id":111,"difficulty":"easy","question":"Which is a mixed fraction?","options":{"A":"14/5","B":"3 4/5","C":"11/3","D":"9/4"},"correct_answer":"B"},
{"id":112,"difficulty":"easy","question":"Convert 16/5 to mixed fraction","options":{"A":"3 1/5","B":"3 2/5","C":"3 3/5","D":"4 1/5"},"correct_answer":"B"},
{"id":113,"difficulty":"easy","question":"Which is NOT a proper fraction?","options":{"A":"7/9","B":"5/6","C":"8/8","D":"3/10"},"correct_answer":"C"},
{"id":114,"difficulty":"easy","question":"Convert 2 7/8 to improper fraction","options":{"A":"23/8","B":"22/8","C":"21/8","D":"24/8"},"correct_answer":"A"},
{"id":115,"difficulty":"easy","question":"Which improper fraction equals 1 3/4?","options":{"A":"5/4","B":"6/4","C":"7/4","D":"8/4"},"correct_answer":"C"},
{"id":116,"difficulty":"easy","question":"Convert 18/7 to mixed fraction","options":{"A":"2 4/7","B":"2 5/7","C":"3 4/7","D":"3 5/7"},"correct_answer":"B"},
{"id":117,"difficulty":"easy","question":"Which is a proper fraction?","options":{"A":"10/9","B":"9/10","C":"11/10","D":"12/11"},"correct_answer":"B"},
{"id":118,"difficulty":"easy","question":"Convert 5 3/10 to improper fraction","options":{"A":"53/10","B":"50/10","C":"47/10","D":"45/10"},"correct_answer":"A"},
{"id":119,"difficulty":"easy","question":"Which is an improper fraction?","options":{"A":"4/11","B":"6/13","C":"13/6","D":"5/12"},"correct_answer":"C"},
{"id":120,"difficulty":"easy","question":"A mixed fraction has","options":{"A":"only whole number","B":"only fraction","C":"whole number and proper fraction","D":"two fractions"},"correct_answer":"C"},



{"id":121,"difficulty":"medium","question":"Convert 29/8 to mixed fraction","options":{"A":"3 5/8","B":"3 3/8","C":"4 1/8","D":"4 5/8"},"correct_answer":"A"},
{"id":122,"difficulty":"medium","question":"Add: 1 1/2 + 2 3/4","options":{"A":"4 1/4","B":"4 1/2","C":"4 1/3","D":"3 3/4"},"correct_answer":"A"},
{"id":123,"difficulty":"medium","question":"Subtract: 4 2/3 − 1 5/6","options":{"A":"2 5/6","B":"2 1/3","C":"2 1/2","D":"3 1/6"},"correct_answer":"A"},
{"id":124,"difficulty":"medium","question":"Convert 0.875 to mixed fraction","options":{"A":"7/8","B":"1 7/8","C":"1 3/4","D":"1 5/8"},"correct_answer":"B"},
{"id":125,"difficulty":"medium","question":"Which is greater?","options":{"A":"9/4","B":"2 1/4","C":"Both equal","D":"Cannot compare"},"correct_answer":"C"},
{"id":126,"difficulty":"medium","question":"Convert 3.2 to mixed fraction","options":{"A":"3 1/5","B":"3 2/5","C":"3 3/5","D":"3 4/5"},"correct_answer":"A"},
{"id":127,"difficulty":"medium","question":"Add: 7/4 + 5/2 (as mixed fraction)","options":{"A":"4 1/4","B":"4 3/4","C":"5 1/4","D":"3 3/4"},"correct_answer":"B"},
{"id":128,"difficulty":"medium","question":"Subtract: 13/3 − 7/6 (as mixed fraction)","options":{"A":"3 1/6","B":"3 1/3","C":"3 1/2","D":"2 5/6"},"correct_answer":"A"},
{"id":129,"difficulty":"medium","question":"Convert 2.45 to mixed fraction (simplest)","options":{"A":"2 9/20","B":"2 1/4","C":"2 2/5","D":"2 7/20"},"correct_answer":"A"},
{"id":130,"difficulty":"medium","question":"Arrange in ascending order: 5/2, 2.4, 2 3/8","options":{"A":"2 3/8, 2.4, 5/2","B":"2.4, 2 3/8, 5/2","C":"5/2, 2.4, 2 3/8","D":"2.4, 5/2, 2 3/8"},"correct_answer":"B"},


{"id":131,"difficulty":"hard","question":"Convert 1.8333… to mixed fraction","options":{"A":"1 5/6","B":"1 2/3","C":"1 3/4","D":"1 7/8"},"correct_answer":"A"},
{"id":132,"difficulty":"hard","question":"Add: 2 1/3 + 3.75","options":{"A":"6 1/12","B":"6 1/3","C":"6 5/12","D":"5 5/12"},"correct_answer":"A"},
{"id":133,"difficulty":"hard","question":"Subtract: 6 1/4 − 2.875","options":{"A":"3 3/8","B":"3 1/4","C":"3 5/8","D":"3 1/2"},"correct_answer":"A"},
{"id":134,"difficulty":"hard","question":"Multiply: 1 1/2 × 2 2/3","options":{"A":"4","B":"3 3/4","C":"4 1/6","D":"3 1/2"},"correct_answer":"A"},
{"id":135,"difficulty":"hard","question":"Divide: 4 1/2 ÷ 1 1/4","options":{"A":"3 3/5","B":"3 1/2","C":"3 3/4","D":"4"},"correct_answer":"B"},
{"id":136,"difficulty":"hard","question":"Convert √2 ≈ 1.414 to mixed fraction (approx)","options":{"A":"1 2/5","B":"1 5/12","C":"1 7/10","D":"1 3/8"},"correct_answer":"B"},
{"id":137,"difficulty":"hard","question":"Which is largest?","options":{"A":"7/3","B":"2.4","C":"2 2/5","D":"2 1/3"},"correct_answer":"A"},
{"id":138,"difficulty":"hard","question":"Arrange descending: 11/4, 2.8, 2 3/5","options":{"A":"11/4, 2.8, 2 3/5","B":"2.8, 11/4, 2 3/5","C":"2 3/5, 2.8, 11/4","D":"11/4, 2 3/5, 2.8"},"correct_answer":"A"},
{"id":139,"difficulty":"hard","question":"Convert 0.142857… to proper fraction","options":{"A":"1/6","B":"1/7","C":"1/8","D":"1/9"},"correct_answer":"B"},
{"id":140,"difficulty":"hard","question":"Which is closest to π?","options":{"A":"3.14","B":"22/7","C":"3 1/8","D":"3.125"},"correct_answer":"B"},
{"id":141,"difficulty":"hard","question":"Add: (3/2 + 5/4 + 7/8) as mixed fraction","options":{"A":"3 5/8","B":"3 1/8","C":"4 1/8","D":"3 3/8"},"correct_answer":"A"},
{"id":142,"difficulty":"hard","question":"Subtract: (5 1/3 − 2 3/4)","options":{"A":"2 7/12","B":"2 1/2","C":"2 5/12","D":"2 2/3"},"correct_answer":"A"},
{"id":143,"difficulty":"hard","question":"Multiply: 2.25 × 1 7/9","options":{"A":"4","B":"3.5","C":"4.25","D":"4.5"},"correct_answer":"A"},
{"id":144,"difficulty":"hard","question":"Divide: 5.333… ÷ 1 1/3","options":{"A":"4","B":"3.5","C":"4.5","D":"3"},"correct_answer":"A"},
{"id":145,"difficulty":"hard","question":"Convert 1.618… (golden ratio approx)","options":{"A":"1 5/8","B":"1 13/21","C":"1 3/5","D":"1 7/10"},"correct_answer":"B"},
{"id":146,"difficulty":"hard","question":"Which is NOT equal to 2.75?","options":{"A":"11/4","B":"2 3/4","C":"22/8","D":"2 7/8"},"correct_answer":"D"},
{"id":147,"difficulty":"hard","question":"Arrange ascending: √5, 2.24, 2 1/4","options":{"A":"2.24, √5, 2 1/4","B":"√5, 2.24, 2 1/4","C":"2 1/4, √5, 2.24","D":"2.24, 2 1/4, √5"},"correct_answer":"A"},
{"id":148,"difficulty":"hard","question":"Evaluate: (2.5 + 1.5) ÷ (1 1/3 − 1/3)","options":{"A":"3","B":"4","C":"5","D":"6"},"correct_answer":"B"},
{"id":149,"difficulty":"hard","question":"Which statement is always true for improper fractions?","options":{"A":"Numerator < Denominator","B":"Numerator ≥ Denominator","C":"Value < 1","D":"Always whole number"},"correct_answer":"B"},
{"id":150,"difficulty":"hard","question":"A mixed fraction is always _____ than its whole number part","options":{"A":"greater","B":"less","C":"equal","D":"cannot say"},"correct_answer":"A"}

   ]
}