{
  "title": "Rotational Symmetry (Geometry & Spatial Understanding) - Grade 5",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the order of rotational symmetry of a square?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "A shape has rotational symmetry if it looks the same after a ______.", "options": {"A": "translation", "B": "rotation", "C": "reflection", "D": "dilation"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "What is the order of rotational symmetry of a circle?", "options": {"A": "1", "B": "2", "C": "4", "D": "Infinite"}, "correct_answer": "D"},
    {
  "id": 4,
  "difficulty": "easy",
  "question": "Which of these letters has rotational symmetry of order 2?",
  "options": {
    "A": "H",
    "B": "I",
    "C": "N",
    "D": "All of the above"
  },
  "correct_answer": "D"
}
,{"id": 5, "difficulty": "easy", "question": "What is the angle of rotation for a shape with rotational symmetry of order 4?", "options": {"A": "45°", "B": "60°", "C": "90°", "D": "120°"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "A rectangle has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "4", "D": "0"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Which of these numbers has rotational symmetry? 0, 1, 2, 3", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "The order of rotational symmetry is the number of times a shape fits onto itself during a ______ rotation.", "options": {"A": "90°", "B": "180°", "C": "270°", "D": "360°"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "What is the order of rotational symmetry of an equilateral triangle?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "A shape with no rotational symmetry has an order of ______.", "options": {"A": "0", "B": "1", "C": "2", "D": "Infinity"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "The letter 'Z' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "What is the angle of rotation for a shape with order 2 rotational symmetry?", "options": {"A": "90°", "B": "120°", "C": "180°", "D": "360°"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "A regular pentagon has rotational symmetry of order ______.", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "Which of these shapes has the highest order of rotational symmetry? Square, Circle, Rectangle, Equilateral Triangle", "options": {"A": "Square", "B": "Circle", "C": "Rectangle", "D": "Equilateral Triangle"}, "correct_answer": "B"},
  {
  "id": 15,
  "difficulty": "easy",
  "question": "The capital letter 'O' has rotational symmetry of order ______.",
  "options": {
    "A": "1",
    "B": "2",
    "C": "4",
    "D": "Infinite"
  },
  "correct_answer": "D"
}
,  {"id": 16, "difficulty": "easy", "question": "If a shape looks the same after a 180° rotation, its order of rotational symmetry is at least ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "A scalene triangle has rotational symmetry of order ______.", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "What is the order of rotational symmetry of the letter 'S'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
  {
  "id": 19,
  "difficulty": "easy",
  "question": "The symbol for recycling often has rotational symmetry of order ______.",
  "options": {
    "A": "2",
    "B": "3",
    "C": "4",
    "D": "5"
  },
  "correct_answer": "B"
}
,  {"id": 20, "difficulty": "easy", "question": "A shape with rotational symmetry of order 1 is said to have ______ rotational symmetry.", "options": {"A": "no", "B": "infinite", "C": "partial", "D": "full"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "What is the order of rotational symmetry of a regular hexagon?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "A shape has rotational symmetry of order 3. What is its angle of rotation?", "options": {"A": "60°", "B": "90°", "C": "120°", "D": "180°"}, "correct_answer": "C"},
   {
  "id": 23,
  "difficulty": "medium",
  "question": "Which of the following letters has rotational symmetry of order 2?",
  "options": {
    "A": "A",
    "B": "B",
    "C": "C",
    "D": "None of these"
  },
  "correct_answer": "D"
}
, {"id": 24, "difficulty": "medium", "question": "A parallelogram has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'H'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "If a shape has rotational symmetry of order 8, what is the angle of rotation?", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°"}, "correct_answer": "B"},
{
  "id": 27,
  "difficulty": "medium",
  "question": "Which of these shapes has rotational symmetry of order greater than 2?",
  "options": {
    "A": "Square",
    "B": "Rectangle",
    "C": "Parallelogram",
    "D": "Kite"
  },
  "correct_answer": "A"
}

,  {"id": 28, "difficulty": "medium", "question": "A shape has rotational symmetry of order n. The smallest angle of rotation is ______.", "options": {"A": "360°/n", "B": "n/360°", "C": "180°/n", "D": "n/180°"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "What is the order of rotational symmetry of an isosceles triangle?", "options": {"A": "1", "B": "2", "C": "3", "D": "0"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "The letter 'N' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "A regular octagon has rotational symmetry of order ______.", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Which of these shapes has both rotational and line symmetry? Square, Scalene triangle, Parallelogram, Trapezium", "options": {"A": "Square", "B": "Scalene triangle", "C": "Parallelogram", "D": "Trapezium"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'X'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "A shape has rotational symmetry of order 2 but no line symmetry. An example is ______.", "options": {"A": "a rectangle", "B": "a parallelogram", "C": "an isosceles triangle", "D": "the letter 'A'"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "The order of rotational symmetry for a regular polygon is always ______ the number of its sides.", "options": {"A": "equal to", "B": "less than", "C": "greater than", "D": "half of"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'I'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "A windmill with 4 blades has rotational symmetry of order ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
   {
  "id": 38,
  "difficulty": "medium",
  "question": "Which of these numbers has rotational symmetry of order 2?",
  "options": {
    "A": "0",
    "B": "6",
    "C": "9",
    "D": "None of these"
  },
  "correct_answer": "C"
}
, {"id": 39, "difficulty": "medium", "question": "A shape has rotational symmetry of order 1. This means it ______.", "options": {"A": "looks the same only after a 360° rotation", "B": "has no symmetry", "C": "has infinite symmetry", "D": "looks the same after any rotation"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "What is the order of rotational symmetry of a rhombus?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "medium", "question": "The capital letter 'Z' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "A regular heptagon has rotational symmetry of order ______.", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "Which of these letters has the highest order of rotational symmetry? H, I, O, X", "options": {"A": "H", "B": "I", "C": "O", "D": "X"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "A shape has rotational symmetry of order 5. What is the smallest angle for which it looks the same?", "options": {"A": "45°", "B": "60°", "C": "72°", "D": "90°"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "The symbol for radiation has rotational symmetry of order ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "A shape with rotational symmetry of order n will look the same after rotations of ______.", "options": {"A": "only one angle", "B": "n different angles", "C": "any angle", "D": "angles that are multiples of 360°/n"}, "correct_answer": "D"},
    {"id": 47, "difficulty": "medium", "question": "What is the order of rotational symmetry of an isosceles trapezium?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "The letter 'M' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "A regular nonagon has rotational symmetry of order ______.", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "Which of these shapes has rotational symmetry but no line symmetry? Square, Circle, Parallelogram, Regular pentagon", "options": {"A": "Square", "B": "Circle", "C": "Parallelogram", "D": "Regular pentagon"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'E'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "A shape has rotational symmetry of order 6. How many lines of symmetry does it have if it is a regular hexagon?", "options": {"A": "3", "B": "4", "C": "6", "D": "12"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "The fan blade of a ceiling fan with 3 blades has rotational symmetry of order ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
   {
  "id": 54,
  "difficulty": "medium",
  "question": "Which of these capital letters has rotational symmetry of order 2?",
  "options": {
    "A": "F",
    "B": "G",
    "C": "J",
    "D": "None of these"
  },
  "correct_answer": "D"
}
, {"id": 55, "difficulty": "medium", "question": "A shape has rotational symmetry of order 4. It will look the same after rotations of ______.", "options": {"A": "90° and 180°", "B": "90°, 180°, and 270°", "C": "45° and 90°", "D": "any angle"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "What is the order of rotational symmetry of a kite?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "The letter 'W' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "A regular decagon has rotational symmetry of order ______.", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "C"},
  {
  "id": 59,
  "difficulty": "medium",
  "question": "Which of these shapes has rotational symmetry of order 2?",
  "options": {
    "A": "Rectangle",
    "B": "Square",
    "C": "Equilateral triangle",
    "D": "Regular pentagon"
  },
  "correct_answer": "A"
}

,  {"id": 60, "difficulty": "medium", "question": "A shape has rotational symmetry of order 2. It must have ______.", "options": {"A": "at least one line of symmetry", "B": "a center of symmetry", "C": "point symmetry", "D": "infinite lines of symmetry"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'S'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 62, "difficulty": "medium", "question": "A shape with rotational symmetry of order n has ______ degrees of rotational symmetry.", "options": {"A": "n", "B": "360/n", "C": "180/n", "D": "90/n"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "The Mercedes-Benz logo has rotational symmetry of order ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
{
  "id": 64,
  "difficulty": "medium",
  "question": "Which of these letters has NO rotational symmetry?",
  "options": {
    "A": "H",
    "B": "I",
    "C": "N",
    "D": "F"
  },
  "correct_answer": "D"
}, {"id": 65, "difficulty": "medium", "question": "A shape has rotational symmetry of order 3. How many times does it match itself in a full turn?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "What is the order of rotational symmetry of an arrow pointing right (→)?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "The letter 'A' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "A regular polygon with 12 sides has rotational symmetry of order ______.", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C"},
{
  "id": 69,
  "difficulty": "medium",
  "question": "Which of these quadrilaterals has rotational symmetry of order 2 but not order 4?",
  "options": {
    "A": "Square",
    "B": "Rectangle",
    "C": "Rhombus",
    "D": "Kite"
  },
  "correct_answer": "B"
}
,  {
  "id": 70,
  "difficulty": "medium",
  "question": "A shape has rotational symmetry of order 4 and line symmetry. What is the angle between consecutive lines of symmetry?",
  "options": {
    "A": "30°",
    "B": "45°",
    "C": "60°",
    "D": "90°"
  },
  "correct_answer": "B"
}

, {"id": 71, "difficulty": "medium", "question": "What is the order of rotational symmetry of the capital letter 'L'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "A shape has rotational symmetry of order 1. This is also known as ______ symmetry.", "options": {"A": "trivial", "B": "non-trivial", "C": "infinite", "D": "point"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "The recycling symbol with three arrows has rotational symmetry of order ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
    {"id": 74, "difficulty": "medium", "question": "Which of these capital letters has no rotational symmetry? A, B, C, D", "options": {"A": "A", "B": "B", "C": "C", "D": "D"}, "correct_answer": "A"},
   {
  "id": 75,
  "difficulty": "medium",
  "question": "A shape has rotational symmetry of order n. How many times does it match itself in a full 360° rotation?",
  "options": {
    "A": "1",
    "B": "n/2",
    "C": "n",
    "D": "360/n"
  },
  "correct_answer": "C"
}
, {"id": 76, "difficulty": "medium", "question": "What is the order of rotational symmetry of a regular polygon with 20 sides?", "options": {"A": "18", "B": "19", "C": "20", "D": "21"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "The letter 'T' has rotational symmetry of order ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "A shape has rotational symmetry of order 2. It will look the same after a rotation of ______.", "options": {"A": "90°", "B": "120°", "C": "180°", "D": "270°"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Which of these numbers has rotational symmetry of order 2? 0, 6, 8, 9", "options": {"A": "0", "B": "6", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "A shape with rotational symmetry of order 1 ______ have point symmetry.", "options": {"A": "always", "B": "sometimes", "C": "never", "D": "cannot"}, "correct_answer": "C"},
    {"id": 81, "difficulty": "hard", "question": "What is the order of rotational symmetry of a regular star pentagon (pentagram)?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "D"},
    {"id": 82, "difficulty": "hard", "question": "A shape has rotational symmetry of order n. If it also has line symmetry, the number of lines of symmetry is ______.", "options": {"A": "always n", "B": "a divisor of n", "C": "a multiple of n", "D": "unrelated to n"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "What is the order of rotational symmetry of the fidget spinner with 3 arms?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "A shape has rotational symmetry of order 4 and 4 lines of symmetry. What is the shape?", "options": {"A": "Rectangle", "B": "Square", "C": "Rhombus", "D": "Kite"}, "correct_answer": "B"},
    {"id": 85, "difficulty": "hard", "question": "The order of rotational symmetry for a parallelogram that is not a rectangle is ______.", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
   {
  "id": 86,
  "difficulty": "hard",
  "question": "What is the order of rotational symmetry of a swastika symbol?",
  "options": {
    "A": "1",
    "B": "2",
    "C": "3",
    "D": "4"
  },
  "correct_answer": "D"
},  {"id": 87, "difficulty": "hard", "question": "A shape has rotational symmetry of order 6. What is the smallest angle for which it looks the same?", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°"}, "correct_answer": "C"},
   {
  "id": 88,
  "difficulty": "hard",
  "question": "Which of these shapes has rotational symmetry of order 4?",
  "options": {
    "A": "Square",
    "B": "Equilateral triangle",
    "C": "Regular pentagon",
    "D": "Circle"
  },
  "correct_answer": "A"
}
, {"id": 89, "difficulty": "hard", "question": "A shape has rotational symmetry of order 2 and two lines of symmetry. The angle between the lines of symmetry is ______.", "options": {"A": "45°", "B": "60°", "C": "90°", "D": "180°"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "What is the order of rotational symmetry of a regular heptagon?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 91, "difficulty": "hard", "question": "The order of rotational symmetry of a circle is infinite because ______.", "options": {"A": "it has no corners", "B": "it looks the same after any rotation", "C": "it has infinite lines of symmetry", "D": "it is a closed curve"}, "correct_answer": "B"},
    {"id": 92, "difficulty": "hard", "question": "A shape has rotational symmetry of order 3. How many lines of symmetry can it have at most?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "D"},
    {"id": 93, "difficulty": "hard", "question": "What is the order of rotational symmetry of the capital letter 'Z'?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "A shape has rotational symmetry of order n. The number of times it matches itself in a 90° rotation is ______.", "options": {"A": "n/4", "B": "4", "C": "1 if n>2", "D": "0 if n is not a multiple of 4"}, "correct_answer": "D"},
    {"id": 95, "difficulty": "hard", "question": "Which of these has the highest order of rotational symmetry? Snowflake, Butterfly, Human face, Maple leaf", "options": {"A": "Snowflake", "B": "Butterfly", "C": "Human face", "D": "Maple leaf"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "A shape has rotational symmetry of order 4. It will look the same after rotations of ______ degrees.", "options": {"A": "45, 90, 135", "B": "90, 180, 270", "C": "60, 120, 180", "D": "30, 60, 90"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "What is the order of rotational symmetry of a regular octagon?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 98, "difficulty": "hard", "question": "A shape has rotational symmetry of order 2. Which of the following must be true?", "options": {"A": "It has a line of symmetry.", "B": "It has point symmetry.", "C": "It is a parallelogram.", "D": "It is a quadrilateral."}, "correct_answer": "B"},
  {
  "id": 99,
  "difficulty": "hard",
  "question": "The order of rotational symmetry of the letter 'O' is infinite because ______.",
  "options": {
    "A": "it has two loops",
    "B": "it looks the same after any rotation",
    "C": "it is round",
    "D": "it has two lines of symmetry"
  },
  "correct_answer": "B"
}
,  {"id": 100, "difficulty": "hard", "question": "A shape has rotational symmetry of order 1. This means that ______.", "options": {"A": "it is asymmetric", "B": "it has no symmetry", "C": "it has trivial symmetry", "D": "All of the above"}, "correct_answer": "C"}
  ]
}