{
  "title": "Area and Perimeter of Plane Figures - Grade 9 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the perimeter of a square with side 5 cm? ⬛", "options": {"A": "10 cm", "B": "15 cm", "C": "20 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "The area of a rectangle with length 8 m and breadth 3 m is? 📏", "options": {"A": "11 m²", "B": "24 m²", "C": "22 m²", "D": "20 m²"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "A triangle has base 10 cm and height 4 cm. What is its area? 🔺", "options": {"A": "14 cm²", "B": "20 cm²", "C": "40 cm²", "D": "10 cm²"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "What is the circumference of a circle with radius 7 cm? (Use π=22/7) ⭕", "options": {"A": "22 cm", "B": "44 cm", "C": "66 cm", "D": "88 cm"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "A parallelogram has base 12 cm and height 5 cm. Its area is? 📐", "options": {"A": "17 cm²", "B": "60 cm²", "C": "30 cm²", "D": "34 cm²"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Find the area of a square with perimeter 36 cm. 🧊", "options": {"A": "9 cm²", "B": "36 cm²", "C": "81 cm²", "D": "144 cm²"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "What is the perimeter of a rectangle with length 9 cm and breadth 6 cm? 📍", "options": {"A": "15 cm", "B": "30 cm", "C": "54 cm", "D": "27 cm"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "The area of a circle with diameter 14 cm is? (π=22/7) 🔵", "options": {"A": "44 cm²", "B": "154 cm²", "C": "308 cm²", "D": "616 cm²"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "A rhombus has diagonals 6 cm and 8 cm. Its area is? ♦️", "options": {"A": "14 cm²", "B": "24 cm²", "C": "48 cm²", "D": "12 cm²"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "Find the area of a triangle with sides 5 cm, 12 cm, 13 cm. (Right-angled) 📐", "options": {"A": "30 cm²", "B": "60 cm²", "C": "65 cm²", "D": "78 cm²"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "What is the circumference of a wheel with radius 21 cm? (π=22/7) 🎡", "options": {"A": "66 cm", "B": "132 cm", "C": "264 cm", "D": "1386 cm"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "If the area of a square is 64 m², its side is? 🔲", "options": {"A": "8 m", "B": "16 m", "C": "32 m", "D": "4 m"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "A trapezium has parallel sides 10 cm, 6 cm and height 4 cm. Area = ? 📏", "options": {"A": "32 cm²", "B": "40 cm²", "C": "24 cm²", "D": "16 cm²"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "The perimeter of an equilateral triangle with side 9 cm is? 🔺", "options": {"A": "18 cm", "B": "27 cm", "C": "36 cm", "D": "81 cm"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "If a rectangle's length is doubled and breadth halved, what happens to area? 🤔", "options": {"A": "Doubles", "B": "Halves", "C": "Remains same", "D": "Becomes 1/4"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "A circle's radius is increased from 7 cm to 14 cm. Its area becomes how many times? 🔄", "options": {"A": "2 times", "B": "3 times", "C": "4 times", "D": "8 times"}, "correct_answer": "C"},
    {"id": 17, "difficulty": "easy", "question": "Find the area of a parallelogram with base 15 cm and height 8 cm. 📦", "options": {"A": "23 cm²", "B": "120 cm²", "C": "60 cm²", "D": "90 cm²"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "The perimeter of a regular hexagon with side 5 cm is? ⬢", "options": {"A": "15 cm", "B": "25 cm", "C": "30 cm", "D": "35 cm"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "If the area of a rectangle is 48 cm² and length is 12 cm, its breadth is? 📐", "options": {"A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "What is the area of a semicircle with radius 7 cm? (π=22/7) 🌗", "options": {"A": "77 cm²", "B": "154 cm²", "C": "38.5 cm²", "D": "22 cm²"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Find the area of a triangle with sides 8 cm, 15 cm, 17 cm. (Use Heron's) 🌿", "options": {"A": "40 cm²", "B": "60 cm²", "C": "80 cm²", "D": "120 cm²"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "A wire bent into a square of side 22 cm is rebent into a circle. Find its radius. (π=22/7) 🔄", "options": {"A": "7 cm", "B": "14 cm", "C": "21 cm", "D": "28 cm"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "The area of a rhombus is 96 cm² and one diagonal is 12 cm. Find the other diagonal. 📏", "options": {"A": "8 cm", "B": "16 cm", "C": "20 cm", "D": "24 cm"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "A rectangular park is 60 m long and 40 m wide. A 2 m path inside around it. Find the area of the path. 🛤️", "options": {"A": "200 m²", "B": "384 m²", "C": "424 m²", "D": "576 m²"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "The circumference of a circle is 88 cm. Find its area. (π=22/7) 🔵", "options": {"A": "154 cm²", "B": "308 cm²", "C": "616 cm²", "D": "1232 cm²"}, "correct_answer": "C"},
    {"id": 26, "difficulty": "medium", "question": "A trapezium's area is 108 cm², its height is 8 cm, one parallel side is 10 cm. Find the other parallel side. 📐", "options": {"A": "17 cm", "B": "18 cm", "C": "19 cm", "D": "20 cm"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "A rectangular sheet 22 cm by 15 cm is rolled along its length to form a cylinder. Find its curved surface area. (π=22/7) 🧻", "options": {"A": "330 cm²", "B": "660 cm²", "C": "990 cm²", "D": "1320 cm²"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "The perimeter of an isosceles triangle is 32 cm. Each equal side is 10 cm. Find its area. 🔺", "options": {"A": "24 cm²", "B": "32 cm²", "C": "48 cm²", "D": "64 cm²"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "A wire is in the shape of a square of side 11 cm. It is reshaped into a rectangle of length 15 cm. Find its breadth. 🔄", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "The diagonal of a square is 10√2 cm. Find its area. 🔷", "options": {"A": "50 cm²", "B": "100 cm²", "C": "200 cm²", "D": "400 cm²"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Find the area of an equilateral triangle with side 8 cm. (√3=1.732) 🌳", "options": {"A": "16√3 cm²", "B": "32√3 cm²", "C": "27.712 cm²", "D": "Both A & C"}, "correct_answer": "D"},
    {"id": 32, "difficulty": "medium", "question": "A circle and a square have the same perimeter. The side of the square is 22 cm. Find the area of the circle. (π=22/7) 🔄", "options": {"A": "154 cm²", "B": "308 cm²", "C": "616 cm²", "D": "1232 cm²"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "A field is in the shape of a trapezium with parallel sides 25 m and 15 m, and non-parallel sides 13 m and 13 m. Find its area. 🌾", "options": {"A": "180 m²", "B": "240 m²", "C": "300 m²", "D": "360 m²"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "If the area of a circle is 154 cm², find its circumference. (π=22/7) 📏", "options": {"A": "22 cm", "B": "44 cm", "C": "66 cm", "D": "88 cm"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "A rectangular plot is 50 m long and 30 m wide. A path 3 m wide runs inside it. Find the cost of paving the path at ₹20/m². 🧱", "options": {"A": "₹ 7440", "B": "₹ 7920", "C": "₹ 8640", "D": "₹ 9240"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "The perimeter of a rhombus is 52 cm and one diagonal is 24 cm. Find its area. ♦️", "options": {"A": "60 cm²", "B": "120 cm²", "C": "240 cm²", "D": "480 cm²"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "A triangle has sides 7 cm, 24 cm, 25 cm. Find the length of the altitude to the longest side. 📐", "options": {"A": "6 cm", "B": "6.72 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "B"},
    {"id": 38, "difficulty": "medium", "question": "Find the area of a quadrilateral ABCD where diagonal AC=20 cm and perpendiculars from B and D to AC are 8 cm and 12 cm. 🔷", "options": {"A": "100 cm²", "B": "200 cm²", "C": "300 cm²", "D": "400 cm²"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "The area of a circular park is 1386 m². Find the cost of fencing it at ₹5 per meter. (π=22/7) 🏞️", "options": {"A": "₹ 440", "B": "₹ 660", "C": "₹ 880", "D": "₹ 1100"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "A rectangular paper 44 cm × 18 cm is rolled to form a cylinder along its length. Find the volume if height = 44 cm. (π=22/7) 🧻", "options": {"A": "1386 cm³", "B": "2772 cm³", "C": "4158 cm³", "D": "5544 cm³"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "hard", "question": "A wire is in the shape of an equilateral triangle of side 22 cm. It is rebent into a circle. Find the area of the circle. (π=22/7) 🔄", "options": {"A": "154 cm²", "B": "231 cm²", "C": "308 cm²", "D": "462 cm²"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "hard", "question": "A rhombus has perimeter 100 cm and one diagonal 40 cm. Find its area. ♦️", "options": {"A": "300 cm²", "B": "400 cm²", "C": "500 cm²", "D": "600 cm²"}, "correct_answer": "D"},
    {"id": 43, "difficulty": "hard", "question": "A rectangular lawn 80 m × 60 m has two crossroads each 5 m wide running through the middle, one parallel to length and one to breadth. Find the area of the roads. 🛣️", "options": {"A": "575 m²", "B": "650 m²", "C": "675 m²", "D": "700 m²"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "hard", "question": "The sides of a triangle are 13 cm, 14 cm, 15 cm. Find the area and the length of the altitude on the longest side. 📐", "options": {"A": "84 cm², 11.2 cm", "B": "84 cm², 12.6 cm", "C": "96 cm², 12.8 cm", "D": "96 cm², 13.2 cm"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "A circular park of radius 21 m has a path 3.5 m wide around it. Find the area of the path. (π=22/7) 🛤️", "options": {"A": "423.5 m²", "B": "500.5 m²", "C": "539 m²", "D": "577.5 m²"}, "correct_answer": "D"},
    {"id": 46, "difficulty": "hard", "question": "The perimeter of an isosceles right triangle is (2+√2) cm. Find its area. 🔺", "options": {"A": "0.25 cm²", "B": "0.5 cm²", "C": "1 cm²", "D": "2 cm²"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "hard", "question": "A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, find the area of the triangle. (√3=1.732) 🔷🔺", "options": {"A": "64√3 cm²", "B": "48√3 cm²", "C": "36√3 cm²", "D": "24√3 cm²"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "A wire in the shape of a rectangle 22 cm × 18 cm is reshaped into a circle, then into a square. Find the difference in areas of square and circle. (π=22/7) 🔄", "options": {"A": "9 cm²", "B": "18 cm²", "C": "27 cm²", "D": "36 cm²"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "hard", "question": "The area of a trapezium is 180 cm² and its height is 9 cm. If one parallel side is 4 cm longer than the other and the shorter side is 12 cm, find the longer side. 📏", "options": {"A": "16 cm", "B": "20 cm", "C": "24 cm", "D": "28 cm"}, "correct_answer": "D"},
    {"id": 50, "difficulty": "hard", "question": "A rectangular plot 110 m long and 70 m wide has a gravel path 5 m wide all around inside it. Find the area of the path and cost of laying gravel at ₹8/m². 🏞️", "options": {"A": "1600 m², ₹12800", "B": "1700 m², ₹13600", "C": "1800 m², ₹14400", "D": "1900 m², ₹15200"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "A field is in the shape of a quadrilateral. Its diagonal is 30 m long and perpendiculars from opposite vertices are 10 m and 14 m. Another diagonal is 24 m with perpendiculars 12 m and 16 m. Find the total area. 🌾", "options": {"A": "360 m²", "B": "420 m²", "C": "480 m²", "D": "540 m²"}, "correct_answer": "D"},
    {"id": 52, "difficulty": "hard", "question": "An isosceles triangle has perimeter 32 cm and each equal side is 10 cm. Find its area and the radius of its incircle. 🔺⭕", "options": {"A": "48 cm², 3 cm", "B": "48 cm², 4 cm", "C": "32 cm², 2 cm", "D": "32 cm², 3 cm"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "A circular wire of radius 35 cm is cut and bent into the shape of a rectangle whose sides are in ratio 6:5. Find the area of the rectangle. (π=22/7) 🔄", "options": {"A": "1500 cm²", "B": "1800 cm²", "C": "2100 cm²", "D": "2400 cm²"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "A running track is in the shape of a rectangle with semicircular ends. The length of the rectangle is 84 m and its breadth is 42 m. Find the area of the track. (π=22/7) 🏃", "options": {"A": "5040 m²", "B": "5544 m²", "C": "6048 m²", "D": "6552 m²"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "The area of a rhombus is 216 cm² and its side is 15 cm. Find the lengths of its diagonals. ♦️", "options": {"A": "18 cm, 24 cm", "B": "20 cm, 24 cm", "C": "24 cm, 30 cm", "D": "18 cm, 30 cm"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "A triangle has sides 10 cm, 17 cm, 21 cm. Find the area and the length of the altitude on the side 21 cm. 📐", "options": {"A": "84 cm², 8 cm", "B": "84 cm², 9 cm", "C": "96 cm², 8 cm", "D": "96 cm², 9 cm"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "A square and a regular hexagon have the same perimeter. If the side of the hexagon is 6 cm, find the area of the square. 🔷⬢", "options": {"A": "81 cm²", "B": "100 cm²", "C": "121 cm²", "D": "144 cm²"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "A rectangular metal sheet 44 cm × 20 cm is folded along its length to form a cylinder. Find its curved surface area and volume. (π=22/7) 🧻", "options": {"A": "880 cm², 3080 cm³", "B": "880 cm², 1540 cm³", "C": "440 cm², 1540 cm³", "D": "440 cm², 3080 cm³"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "A wire in shape of a square of area 121 cm² is bent into a semicircle. Find the radius of the semicircle. (π=22/7) 🔄", "options": {"A": "7 cm", "B": "14 cm", "C": "21 cm", "D": "28 cm"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "hard", "question": "A plot is in the shape of a trapezium with parallel sides 40 m and 60 m, and non-parallel sides 26 m each. Find its area and cost of leveling at ₹5/m². 🏞️", "options": {"A": "1200 m², ₹6000", "B": "1320 m², ₹6600", "C": "1440 m², ₹7200", "D": "1560 m², ₹7800"}, "correct_answer": "A"}
  ]
}