{
  "title": "Coordinates (Introduction to Graphs) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What are the coordinates of the origin? 🎯",
      "options": { "A": "(1,1)", "B": "(0,0)", "C": "(0,1)", "D": "(1,0)" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "In (3,5), what is the x-coordinate? 📍",
      "options": { "A": "3", "B": "5", "C": "8", "D": "2" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Which point lies on the x-axis? ➖",
      "options": { "A": "(0,4)", "B": "(2,0)", "C": "(3,3)", "D": "(1,1)" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "What is the y-coordinate of (7,2)? 📐",
      "options": { "A": "7", "B": "2", "C": "9", "D": "5" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Which point is in Quadrant I? 🔢",
      "options": { "A": "(-1,3)", "B": "(2,-4)", "C": "(5,5)", "D": "(-3,-2)" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What are coordinates of point 2 units right, 3 units up from origin? ↗️",
      "options": { "A": "(3,2)", "B": "(2,3)", "C": "(2,0)", "D": "(0,3)" },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which point lies on y-axis? ↕️",
      "options": { "A": "(4,0)", "B": "(0,-2)", "C": "(1,1)", "D": "(3,3)" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "In Quadrant II, x is ___ and y is ___? 🤔",
      "options": { "A": "+,+", "B": "-,+", "C": "+,-", "D": "-,-" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "What is the coordinate of point A located at 4 on x-axis, 0 on y-axis? 📍",
      "options": { "A": "(0,4)", "B": "(4,4)", "C": "(4,0)", "D": "(0,0)" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Which quadrant is (-3,-5) in? 🔄",
      "options": { "A": "I", "B": "II", "C": "III", "D": "IV" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Point (0,7) lies on which axis? 🎈",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "origin",
        "D": "Quadrant I"
      },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "What is the mirror image of (2,3) over x-axis? 🪞",
      "options": { "A": "(-2,3)", "B": "(2,-3)", "C": "(-2,-3)", "D": "(3,2)" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Coordinates (5,0) lie on ____? 📏",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "origin",
        "D": "Quadrant I"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Which is not a coordinate pair? ❌",
      "options": { "A": "(3,4)", "B": "(0,0)", "C": "(5)", "D": "(-1,2)" },
      "correct_answer": "C"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Point (-4,6) is in which quadrant? 🧭",
      "options": { "A": "I", "B": "II", "C": "III", "D": "IV" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "What is the distance of (3,4) from x-axis? 📏",
      "options": { "A": "3", "B": "4", "C": "5", "D": "7" },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "If y=0, the point lies on ___? ➖",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "origin",
        "D": "Quadrant II"
      },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "What are coordinates of point 6 left, 2 down from origin? ↙️",
      "options": { "A": "(6,2)", "B": "(-6,-2)", "C": "(-6,2)", "D": "(6,-2)" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Point (0,0) is called? ⭐",
      "options": {
        "A": "Center",
        "B": "Origin",
        "C": "Zero point",
        "D": "Axis"
      },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Which point is in Quadrant IV? ↘️",
      "options": { "A": "(-5,1)", "B": "(3,-2)", "C": "(-4,-6)", "D": "(2,5)" },
      "correct_answer": "B"
    },

    {
      "id": 21,
      "difficulty": "medium",
      "question": "What is the midpoint of (2,4) and (6,8)? 📍",
      "options": { "A": "(4,6)", "B": "(3,5)", "C": "(8,12)", "D": "(5,7)" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "If point (a,0) lies on x-axis, what is a? ➖",
      "options": {
        "A": "Any number",
        "B": "0 only",
        "C": "1 only",
        "D": "Positive only"
      },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Point (3,-5) reflected over y-axis becomes? 🪞",
      "options": { "A": "(-3,-5)", "B": "(3,5)", "C": "(-3,5)", "D": "(5,3)" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "Which point is equidistant from x and y axes? ⚖️",
      "options": { "A": "(3,3)", "B": "(4,0)", "C": "(0,5)", "D": "(2,7)" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "What is the mirror of (-2,7) over origin? 🔄",
      "options": { "A": "(2,-7)", "B": "(-2,-7)", "C": "(2,7)", "D": "(7,-2)" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "If (x, y) is in Quadrant III, then ( -x, y) is in? 🤔",
      "options": {
        "A": "Quadrant I",
        "B": "Quadrant II",
        "C": "Quadrant III",
        "D": "Quadrant IV"
      },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Distance of (5,12) from origin is? 📏",
      "options": { "A": "13", "B": "17", "C": "7", "D": "10" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Which point lies on line y = x? 📈",
      "options": { "A": "(2,3)", "B": "(4,4)", "C": "(0,5)", "D": "(3,-3)" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "If a point is on negative x-axis, its coordinates are? ⬅️",
      "options": {
        "A": "(0, -a)",
        "B": "(-a, 0)",
        "C": "(a, a)",
        "D": "(-a, -a)"
      },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "What is the area of triangle with vertices (0,0), (4,0), (0,3)? 📐",
      "options": { "A": "6", "B": "12", "C": "7.5", "D": "5" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Point symmetric to ( -6, 2) about y-axis is? 🧩",
      "options": { "A": "(6,2)", "B": "(-6,-2)", "C": "(6,-2)", "D": "(-2,6)" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "If (k, k) lies on y=x, k can be? 🔢",
      "options": {
        "A": "Any real number",
        "B": "Only 0",
        "C": "Only 1",
        "D": "Only positive"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Which point is closest to origin? 🎯",
      "options": {
        "A": "(1,1)",
        "B": "(0,3)",
        "C": "(4,0)",
        "D": "(2,2)"
      },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Point (0, -8) lies where? ⬇️",
      "options": {
        "A": "Positive y-axis",
        "B": "Negative y-axis",
        "C": "Positive x-axis",
        "D": "Negative x-axis"
      },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "If a point has x-coordinate 0, it lies on? ↕️",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "origin",
        "D": "Quadrant I"
      },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "What is the fourth vertex of rectangle with (1,2), (5,2), (5,5)? 🧱",
      "options": { "A": "(1,5)", "B": "(5,1)", "C": "(2,5)", "D": "(1,1)" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Point ( -3, 4) is how far from y-axis? 📏",
      "options": { "A": "3", "B": "4", "C": "5", "D": "7" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Which is true for Quadrant IV? ↘️",
      "options": {
        "A": "x>0, y>0",
        "B": "x<0, y>0",
        "C": "x>0, y<0",
        "D": "x<0, y<0"
      },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Mirror of (a,b) over x-axis then y-axis gives? 🔄",
      "options": { "A": "(a,b)", "B": "(-a,-b)", "C": "(-a,b)", "D": "(a,-b)" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "If midpoint of (2,3) and (x,7) is (4,5), x = ? 📍",
      "options": { "A": "6", "B": "5", "C": "4", "D": "3" },
      "correct_answer": "A"
    },

    {
      "id": 41,
      "difficulty": "hard",
      "question": "What is the centroid of triangle with vertices (0,0), (6,0), (0,8)? 📐",
      "options": { "A": "(2, 8/3)", "B": "(3,4)", "C": "(2,3)", "D": "(6,8)" },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Point dividing (1,2) and (9,10) in ratio 3:1 internally? 📏",
      "options": { "A": "(7,8)", "B": "(4,5)", "C": "(6,7)", "D": "(8,9)" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "If (3,4), (7,4), (3,8) are vertices of rectangle, fourth vertex? 🧱",
      "options": { "A": "(7,8)", "B": "(8,7)", "C": "(4,7)", "D": "(7,3)" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Area of quadrilateral with (0,0), (4,0), (4,3), (0,3)? 📦",
      "options": { "A": "12", "B": "10", "C": "14", "D": "16" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Point on x-axis equidistant from (2,3) and (4,5)? ⚖️",
      "options": {
        "A": "(7,0)",
        "B": "(0,7)",
        "C": "(5,0)",
        "D": "(0,5)"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "If (a, b) is in Quadrant II, where is (b, a)? 🔄",
      "options": {
        "A": "Quadrant IV",
        "B": "Quadrant II",
        "C": "Quadrant I",
        "D": "Quadrant III"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Distance between ( -3, -4) and (6, 8)? 📏",
      "options": { "A": "15", "B": "12", "C": "13", "D": "17" },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "Which point lies inside circle radius 5 centered at origin? 🔵",
      "options": {
        "A": "(3,4)",
        "B": "(5,0)",
        "C": "(0,5)",
        "D": "(4,3)"
      },
      "correct_answer": "D"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "If slope of line through (2,3) and (4,k) is 2, k = ? 📈",
      "options": { "A": "7", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Point dividing join of ( -2,3) and (4,7) in ratio 2:1 externally? ➗",
      "options": { "A": "(10,11)", "B": "(8,9)", "C": "(6,7)", "D": "(12,13)" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Orthocenter of right triangle at (0,0), (6,0), (0,8)? 📐",
      "options": { "A": "(0,0)", "B": "(3,4)", "C": "(6,8)", "D": "(2,8/3)" },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If three points (0,0), (3,4), (x,0) form right angle at (0,0), x = ? 📏",
      "options": {
        "A": "±5",
        "B": "±3",
        "C": "±4",
        "D": "±6"
      },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Point on y-axis equidistant from (5, -2) and ( -3, 4)? ⚖️",
      "options": { "A": "(0,1)", "B": "(0, -1)", "C": "(0,2)", "D": "(0, -2)" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Area of triangle with (1,1), (2,2), (3,1)? 📐",
      "options": { "A": "1", "B": "2", "C": "1.5", "D": "2.5" },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "If (2,3), (4,5), (6,7) are collinear, next point on line? 📈",
      "options": { "A": "(8,9)", "B": "(7,8)", "C": "(9,10)", "D": "(10,11)" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Image of ( -5, 12) reflected over line y = x? 🔄",
      "options": {
        "A": "(12, -5)",
        "B": "( -12, 5)",
        "C": "(5, -12)",
        "D": "( -5, -12)"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Distance of ( -6, 8) from origin? 🎯",
      "options": { "A": "10", "B": "14", "C": "12", "D": "9" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "If centroid of triangle is (3,4) and two vertices are (1,2), (5,6), third vertex? 📍",
      "options": {
        "A": "(3,4)",
        "B": "(4,5)",
        "C": "(2,3)",
        "D": "(6,7)"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Point symmetric to (a,b) about origin then x-axis? 🔄",
      "options": {
        "A": "( -a, b)",
        "B": "(a, -b)",
        "C": "( -a, -b)",
        "D": "(a,b)"
      },
      "correct_answer": "B"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "If (x, y) satisfies x² + y² = 25, it lies on a circle radius? 🔵",
      "options": { "A": "5", "B": "25", "C": "10", "D": "12.5" },
      "correct_answer": "A"
    }
  ]
}