{
  "title": "Area of Parallelogram and Triangle - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is the area of a parallelogram? 📐",
      "options": {
        "A": "base + height",
        "B": "base × height",
        "C": "½ × base × height",
        "D": "side × side"
      },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "What is the area of a triangle? 🔺",
      "options": {
        "A": "base + height",
        "B": "base × height",
        "C": "½ × base × height",
        "D": "side × side"
      },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "If base of a parallelogram is 6 cm and height is 4 cm, its area is? 🔍",
      "options": { "A": "10 cm²", "B": "20 cm²", "C": "24 cm²", "D": "30 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "If base of a triangle is 8 cm and height is 5 cm, its area is? 🔺",
      "options": { "A": "13 cm²", "B": "20 cm²", "C": "40 cm²", "D": "80 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Height of a shape is always ____ to the base. 📏",
      "options": {
        "A": "parallel",
        "B": "perpendicular",
        "C": "equal",
        "D": "diagonal"
      },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "A triangle's area is ____ the area of a parallelogram on same base and between same parallels. ⚖️",
      "options": {
        "A": "equal to",
        "B": "double",
        "C": "half",
        "D": "one-third"
      },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Find area of a parallelogram with base 10 cm, height 7 cm. 📏",
      "options": {
        "A": "17 cm²",
        "B": "35 cm²",
        "C": "70 cm²",
        "D": "100 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Find area of a triangle with base 12 cm, height 6 cm. 🔺",
      "options": {
        "A": "18 cm²",
        "B": "36 cm²",
        "C": "72 cm²",
        "D": "144 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "If area of a parallelogram is 48 cm² and base is 8 cm, find height. 🔍",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "12 cm" },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "If area of a triangle is 24 cm² and base is 8 cm, find height. 🔍",
      "options": { "A": "3 cm", "B": "4 cm", "C": "6 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "A parallelogram has ____ pairs of parallel sides. 🔄",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Every parallelogram is a rectangle. True or False? ✔️❌",
      "options": { "A": "True", "B": "False", "C": "Sometimes", "D": "Never" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Which shape has three sides? 🔺",
      "options": {
        "A": "Parallelogram",
        "B": "Triangle",
        "C": "Square",
        "D": "Rectangle"
      },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "A triangle with base 5 cm and height 4 cm has same area as a parallelogram with base 10 cm and height ____ cm. ⚖️",
      "options": { "A": "1", "B": "2", "C": "4", "D": "5" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Area of a triangle = ½ × base × ____. 🔍",
      "options": {
        "A": "side",
        "B": "height",
        "C": "perimeter",
        "D": "diagonal"
      },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "If you cut a parallelogram along its diagonal, you get two ____. ✂️",
      "options": {
        "A": "squares",
        "B": "rectangles",
        "C": "equal triangles",
        "D": "trapeziums"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "A triangle's base is 9 cm, height is 2 cm. Its area is? 🔺",
      "options": { "A": "9 cm²", "B": "11 cm²", "C": "18 cm²", "D": "36 cm²" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "A parallelogram's base is 15 m, height is 6 m. Area in cm²? (1 m = 100 cm) 🔄",
      "options": {
        "A": "9000 cm²",
        "B": "90000 cm²",
        "C": "900000 cm²",
        "D": "9000000 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Which unit is NOT used for area? 🚫",
      "options": { "A": "cm²", "B": "m²", "C": "km³", "D": "hectare" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "A triangle and a parallelogram have same base and area. The triangle's height is ____ the parallelogram's height. ⚖️",
      "options": {
        "A": "equal to",
        "B": "half",
        "C": "double",
        "D": "three times"
      },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "A parallelogram has area 56 cm² and height 7 cm. Find its base. 🔍",
      "options": { "A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "A triangle has area 42 cm² and height 12 cm. Find its base. 🔍",
      "options": { "A": "3.5 cm", "B": "7 cm", "C": "10.5 cm", "D": "14 cm" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "A parallelogram with base 14 cm and height 5 cm has same area as a triangle with base 20 cm. Find triangle's height. ⚖️",
      "options": { "A": "3.5 cm", "B": "7 cm", "C": "10 cm", "D": "14 cm" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "A triangle's base is 16 cm, area is 80 cm². Find its height. 🔺",
      "options": { "A": "5 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "If you double the base of a triangle and keep height same, area becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "A parallelogram's sides are 12 cm and 8 cm. Height corresponding to base 12 cm is 6 cm. Find area. 📐",
      "options": { "A": "48 cm²", "B": "60 cm²", "C": "72 cm²", "D": "96 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Find area of a triangle with base 0.8 m and height 50 cm. (1 m = 100 cm) 🔄",
      "options": {
        "A": "20 cm²",
        "B": "200 cm²",
        "C": "2000 cm²",
        "D": "4000 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "A triangle and parallelogram have same base and height. Parallelogram's area is 45 cm². Triangle's area is? ⚖️",
      "options": {
        "A": "22.5 cm²",
        "B": "45 cm²",
        "C": "67.5 cm²",
        "D": "90 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "A parallelogram's area is 60 cm². Its height is 5 cm. Find the length of its base. 📏",
      "options": { "A": "10 cm", "B": "12 cm", "C": "15 cm", "D": "20 cm" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "A triangular park has base 40 m, height 30 m. Find its area in hectares. (1 hectare = 10,000 m²) 🌳",
      "options": {
        "A": "0.06 hectare",
        "B": "0.12 hectare",
        "C": "0.6 hectare",
        "D": "1.2 hectare"
      },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "If area of a triangle is 18 cm² and its height is 4 cm, find base. 🔍",
      "options": { "A": "4.5 cm", "B": "6 cm", "C": "9 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "A parallelogram has base 18 cm, height 7 cm. Another parallelogram with same area has base 21 cm. Find its height. ⚖️",
      "options": { "A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "A triangle's height is 5 cm more than its base. Area is 42 cm². Find base. 🔺",
      "options": { "A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm" },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "The area of a right triangle with legs 6 cm and 8 cm is? 📐",
      "options": { "A": "14 cm²", "B": "24 cm²", "C": "48 cm²", "D": "96 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "A parallelogram's height is one-third its base. If area is 108 cm², find base. 🔍",
      "options": { "A": "9 cm", "B": "12 cm", "C": "18 cm", "D": "24 cm" },
      "correct_answer": "C"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Two triangles have equal area. First has base 10 cm, height 6 cm. Second has base 15 cm. Find its height. ⚖️",
      "options": { "A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "8 cm" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "A triangular flag has area 600 cm² and base 40 cm. Find its height. 🚩",
      "options": { "A": "15 cm", "B": "20 cm", "C": "25 cm", "D": "30 cm" },
      "correct_answer": "D"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "If you double both base and height of a triangle, area becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "A parallelogram and a rectangle have same base and height. Their areas are? ⚖️",
      "options": {
        "A": "equal",
        "B": "parallelogram is double",
        "C": "rectangle is double",
        "D": "cannot compare"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Find area of a triangle whose base is 2.5 m and height is 80 cm. (in m²) 🔄",
      "options": { "A": "1 m²", "B": "2 m²", "C": "4 m²", "D": "10 m²" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "A parallelogram's area is 72 cm². Its height is 6 cm. If one side is 10 cm, find length of other side. 📐",
      "options": { "A": "7.2 cm", "B": "8 cm", "C": "9 cm", "D": "12 cm" },
      "correct_answer": "D"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "A triangle's area is 84 cm². Its base and height are in ratio 7:3. Find its height. 🔺",
      "options": {
        "A": "6 cm",
        "B": "8.5 cm",
        "C": "12 cm",
        "D": "15 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "A parallelogram's adjacent sides are 13 cm and 14 cm. Height corresponding to side 13 cm is 12 cm. Find height corresponding to side 14 cm. 📏",
      "options": {
        "A": "10 cm",
        "B": "11.14 cm",
        "C": "12 cm",
        "D": "13 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "The area of a triangle is 30 cm². If its base is increased by 4 cm and height decreased by 2 cm, area remains same. Find original base and height if both are integers. 🔍",
      "options": {
        "A": "9.14 cm, 6.57 cm",
        "B": "10 cm, 6 cm",
        "C": "12 cm, 5 cm",
        "D": "14 cm, 4 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "A parallelogram's area is 96 cm². Its diagonals are perpendicular. If one diagonal is 12 cm, find other diagonal. ⚡",
      "options": { "A": "8 cm", "B": "10 cm", "C": "16 cm", "D": "20 cm" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "A triangle's base is 3 cm more than its height. Area is 14 cm². Find its perimeter if it is right-angled. 🔺",
      "options": {
        "A": "18 cm",
        "B": "19 cm",
        "C": "20 cm",
        "D": "21 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Two parallelograms have same area. First has base 24 cm, height 10 cm. Second has base 30 cm. Find its height. ⚖️",
      "options": { "A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "A triangle's area is 48 cm². If its base is reduced by 25% and height increased by 20%, find new area. 📈",
      "options": {
        "A": "43.2 cm²",
        "B": "48 cm²",
        "C": "52.8 cm²",
        "D": "57.6 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "A parallelogram's sides are 20 cm and 16 cm. Height on longer side is 8 cm. Find height on shorter side. 📐",
      "options": { "A": "10 cm", "B": "12 cm", "C": "15 cm", "D": "20 cm" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "A triangular field has area 2400 m². Its base is 80 m. Find cost of fencing it at ₹15/m if it is equilateral. 🌾",
      "options": {
        "A": "₹3000",
        "B": "₹3300",
        "C": "₹3600",
        "D": "₹3900"
      },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "The area of a parallelogram is 120 cm². Its base is 15 cm. Find the length of altitude from opposite vertex. ⛰️",
      "options": { "A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "B"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "A triangle's area is 36 cm². Its height is 2 cm more than its base. Find its base. 🔍",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "9 cm" },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "A parallelogram's area is 180 cm². One of its altitudes is 12 cm. The side corresponding to this altitude is? 📏",
      "options": { "A": "10 cm", "B": "12 cm", "C": "15 cm", "D": "18 cm" },
      "correct_answer": "C"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "A triangle and a parallelogram have equal areas. Triangle's base is 16 cm, height is 12 cm. Parallelogram's base is 24 cm. Find its height. ⚖️",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm" },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "If the base of a triangle is increased by 20% and height decreased by 10%, what is % change in area? 🔄",
      "options": {
        "A": "8% increase",
        "B": "8% decrease",
        "C": "10% increase",
        "D": "10% decrease"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "A parallelogram has sides 25 cm and 30 cm. Area is 600 cm². Find acute angle between sides. 📐",
      "options": { "A": "30°", "B": "45°", "C": "53°", "D": "60°" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "A triangle's base is 5 cm more than its height. Area is 42 cm². Find its perimeter if it is isosceles with base as unequal side. 🔺",
      "options": { "A": "24 cm", "B": "28 cm", "C": "30 cm", "D": "32 cm" },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Two triangles have equal area. First has base 18 cm, height 10 cm. Second has height 12 cm. Find its base. ⚖️",
      "options": { "A": "12 cm", "B": "15 cm", "C": "18 cm", "D": "20 cm" },
      "correct_answer": "B"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A parallelogram's area is 144 cm². Its height is 9 cm. If one interior angle is 30°, find its sides. (sin30°=0.5) 📏",
      "options": {
        "A": "12 cm, 16 cm",
        "B": "16 cm, 18 cm",
        "C": "18 cm, 24 cm",
        "D": "24 cm, 32 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "The area of a triangle is 54 cm². Its base is 12 cm. Find the length of median to the base. (Median divides triangle into equal areas) ⚡",
      "options": {
        "A": "4.5 cm",
        "B": "6 cm",
        "C": "7.5 cm",
        "D": "9 cm"
      },
      "correct_answer": "B"
    }
  ]
}