{
  "title": "Area of Circles (Mensuration) - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "🎯 Area of circle = _____ × radius².",
      "options": { "A": "2π", "B": "π", "C": "π/2", "D": "3π" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "🔵 If radius = 7 cm, area = _____ cm². (Take π=22/7)",
      "options": { "A": "44", "B": "154", "C": "308", "D": "616" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "📏 Formula for area of circle is A = _____.",
      "options": { "A": "2πr", "B": "πr²", "C": "πd", "D": "πr" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "🎯 If diameter = 14 cm, radius = _____ cm.",
      "options": { "A": "7", "B": "14", "C": "28", "D": "3.5" },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "🔵 Area of circle with radius 10 cm is _____ cm². (π=3.14)",
      "options": { "A": "31.4", "B": "62.8", "C": "314", "D": "628" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "📏 If radius doubles, area becomes _____ times.",
      "options": { "A": "2", "B": "3", "C": "4", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🎯 Area of circle with diameter 20 cm is _____ cm². (π≈3.14)",
      "options": { "A": "62.8", "B": "125.6", "C": "314", "D": "628" },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "🔵 π is approximately equal to _____.",
      "options": { "A": "3.14", "B": "22/7", "C": "Both A and B", "D": "2.71" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "📏 Radius = 3.5 cm, area = _____ cm². (π=22/7)",
      "options": { "A": "38.5", "B": "77", "C": "154", "D": "22" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "🎯 If area = 154 cm², radius = _____ cm. (π=22/7)",
      "options": { "A": "3.5", "B": "7", "C": "14", "D": "21" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🔵 Half of a circle is called a _____.",
      "options": {
        "A": "Sector",
        "B": "Semicircle",
        "C": "Segment",
        "D": "Arc"
      },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📏 Area of semicircle = _____ of circle area.",
      "options": {
        "A": "Half",
        "B": "Double",
        "C": "One-third",
        "D": "One-fourth"
      },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🎯 Circumference of circle = 2πr. Area = _____.",
      "options": { "A": "πr", "B": "πr²", "C": "πd", "D": "2πr²" },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "🔵 If area = 616 cm², radius = _____ cm. (π=22/7)",
      "options": { "A": "7", "B": "14", "C": "21", "D": "28" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "📏 Diameter = 10 cm, area ≈ _____ cm². (π=3.14)",
      "options": { "A": "31.4", "B": "62.8", "C": "78.5", "D": "314" },
      "correct_answer": "C"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "🎯 Radius = 0.7 m, area = _____ m². (π=22/7)",
      "options": { "A": "1.54", "B": "15.4", "C": "154", "D": "0.154" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🔵 A circular park radius 21 m. Area = _____ m². (π=22/7)",
      "options": { "A": "1386", "B": "2772", "C": "4158", "D": "5544" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "📏 If radius is halved, area becomes _____ times.",
      "options": { "A": "1/2", "B": "1/3", "C": "1/4", "D": "1/8" },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🎯 Area of circle with circumference 44 cm is _____ cm². (π=22/7)",
      "options": { "A": "77", "B": "154", "C": "308", "D": "616" },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "🔵 Which unit is used for area of circle?",
      "options": { "A": "cm", "B": "cm²", "C": "cm³", "D": "m" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "📏 Area of circle with radius 1.4 m = _____ m². (π=22/7)",
      "options": { "A": "6.16", "B": "61.6", "C": "616", "D": "0.616" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "🎯 If area of circle is 78.5 cm², radius ≈ _____ cm. (π=3.14)",
      "options": { "A": "3.5", "B": "5", "C": "7", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🔵 Difference between area of circles with radii 7 cm and 3.5 cm = _____ cm². (π=22/7)",
      "options": { "A": "38.5", "B": "77", "C": "115.5", "D": "154" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📏 Radius increased from 5 cm to 10 cm. Area increase = _____ cm². (π=3.14)",
      "options": { "A": "78.5", "B": "157", "C": "235.5", "D": "314" },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🎯 Area of semicircle with radius 14 cm = _____ cm². (π=22/7)",
      "options": { "A": "308", "B": "616", "C": "1232", "D": "2464" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "🔵 If circumference = 31.4 cm, area ≈ _____ cm². (π=3.14)",
      "options": { "A": "31.4", "B": "62.8", "C": "78.5", "D": "157" },
      "correct_answer": "C"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "📏 Two circles radii 3 cm and 4 cm. Difference in areas = _____ cm². (π=3.14)",
      "options": { "A": "3.14", "B": "12.56", "C": "21.98", "D": "43.96" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "🎯 If diameter = 28 cm, area = _____ cm². (π=22/7)",
      "options": { "A": "154", "B": "308", "C": "616", "D": "1232" },
      "correct_answer": "C"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🔵 Radius = 2.1 m, area = _____ m². (π=22/7)",
      "options": { "A": "13.86", "B": "138.6", "C": "1386", "D": "1.386" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "📏 Area of quarter circle radius 7 cm = _____ cm². (π=22/7)",
      "options": { "A": "38.5", "B": "77", "C": "154", "D": "308" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🎯 Wheel radius 35 cm. Area covered in one rotation = _____ cm². (π=22/7)",
      "options": { "A": "110", "B": "220", "C": "3850", "D": "7700" },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "🔵 Circular table diameter 1.4 m. Area = _____ m². (π=22/7)",
      "options": { "A": "1.54", "B": "15.4", "C": "154", "D": "0.154" },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "📏 If area of circle = 1256 cm², radius ≈ _____ cm. (π=3.14)",
      "options": { "A": "10", "B": "20", "C": "30", "D": "40" },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "🎯 Radius increased by 50%, area increases by _____%.",
      "options": { "A": "50", "B": "100", "C": "125", "D": "225" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "🔵 Circular garden area 154 m². Radius = _____ m. (π=22/7)",
      "options": { "A": "3.5", "B": "7", "C": "14", "D": "21" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "📏 Area of circle with circumference 88 cm = _____ cm². (π=22/7)",
      "options": { "A": "154", "B": "308", "C": "616", "D": "1232" },
      "correct_answer": "C"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🎯 If radius ratio is 1:3, area ratio = _____.",
      "options": { "A": "1:3", "B": "1:6", "C": "1:9", "D": "1:12" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "🔵 Area of circle = 2464 cm². Diameter = _____ cm. (π=22/7)",
      "options": { "A": "14", "B": "28", "C": "56", "D": "112" },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "📏 Semicircular window radius 0.7 m. Area = _____ m². (π=22/7)",
      "options": { "A": "0.77", "B": "1.54", "C": "2.31", "D": "3.08" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "🎯 Circular plot radius 42 m. Area in hectares? (1 hectare=10000 m², π=22/7)",
      "options": { "A": "0.5544", "B": "5.544", "C": "55.44", "D": "554.4" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "🔵 Area of circle is 3850 cm². Radius = _____ cm. (π=22/7)",
      "options": { "A": "17.5", "B": "35", "C": "52.5", "D": "70" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "📏 Circular path width 7 m around circular garden radius 21 m. Area of path = _____ m². (π=22/7)",
      "options": {
        "A": "1078",
        "B": "1232",
        "C": "1848",
        "D": "2464"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🎯 If area of circle increases by 44%, radius increases by _____%.",
      "options": { "A": "20", "B": "22", "C": "24", "D": "44" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "🔵 Two concentric circles radii 7 cm and 14 cm. Area of ring = _____ cm². (π=22/7)",
      "options": { "A": "154", "B": "308", "C": "462", "D": "616" },
      "correct_answer": "C"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "📏 Circle area equals area of square side 22 cm. Radius of circle = _____ cm. (π=22/7)",
      "options": {
        "A": "10",
        "B": "12.4",
        "C": "14",
        "D": "21"
      },
      "correct_answer": "B"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "🎯 Radius ratio 2:5, area difference = 147π cm². Smaller circle area = _____ cm².",
      "options": {
        "A": "16π",
        "B": "25π",
        "C": "28π",
        "D": "49π"
      },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🔵 Circular sheet radius 20 cm, cut into 4 equal sectors. Area of each sector = _____ cm². (π=3.14)",
      "options": { "A": "62.8", "B": "125.6", "C": "314", "D": "628" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "📏 If circumference and area of circle are numerically equal, radius = _____ units.",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "🎯 Wire bent into circle area 1386 cm². Same wire bent into square. Side of square = _____ cm. (π=22/7)",
      "options": { "A": "21", "B": "28", "C": "33", "D": "42" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "🔵 Circle area 616 cm². Quarter of circle cut out. Remaining area = _____ cm². (π=22/7)",
      "options": { "A": "154", "B": "308", "C": "462", "D": "554" },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "📏 Circular field area 3.14 hectares. Radius = _____ m. (π=3.14, 1 hectare=10000 m²)",
      "options": { "A": "50", "B": "100", "C": "150", "D": "200" },
      "correct_answer": "B"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "🎯 If radius increased from r to r+2, area increases by 44π. Find r.",
      "options": { "A": "8", "B": "10", "C": "12", "D": "14" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🔵 Area of circle = 5544 cm². Find circumference in cm. (π=22/7)",
      "options": { "A": "132", "B": "264", "C": "396", "D": "528" },
      "correct_answer": "B"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📏 Circle radius 7 cm and sector angle 90°. Area of sector = _____ cm². (π=22/7)",
      "options": { "A": "38.5", "B": "77", "C": "154", "D": "308" },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🎯 Ratio of areas of two circles is 9:25. Ratio of their circumferences = _____.",
      "options": { "A": "3:5", "B": "9:25", "C": "81:625", "D": "27:125" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "🔵 Circle area equal to sum of areas of two circles radii 6 cm and 8 cm. Its radius = _____ cm. (π=3.14)",
      "options": { "A": "10", "B": "12", "C": "14", "D": "16" },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "📏 Area of circle inscribed in square of side 14 cm = _____ cm². (π=22/7)",
      "options": { "A": "154", "B": "308", "C": "616", "D": "1232" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "🎯 If area of circle is 4 times another, radius ratio = _____.",
      "options": {
        "A": "1:2",
        "B": "1:4",
        "C": "2:1",
        "D": "4:1"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🔵 Circle area 1256 cm². Find diameter. (π=3.14)",
      "options": { "A": "10 cm", "B": "20 cm", "C": "30 cm", "D": "40 cm" },
      "correct_answer": "D"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📏 Circular race track outer radius 35 m, inner radius 21 m. Area of track = _____ m². (π=22/7)",
      "options": { "A": "1232", "B": "1848", "C": "2464", "D": "3080" },
      "correct_answer": "C"
    }
  ]
}