{
  "title": "Tile Patterns (Patterns, Sequences, Algebra Readiness) - Grade 5",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Look at the pattern: Square, Triangle, Square, Triangle, Square, ... What shape comes next?", "options": {"A": "Square", "B": "Triangle", "C": "Circle", "D": "Rectangle"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "A tile pattern uses 2 red tiles, then 1 blue tile, then repeats. What color is the 4th tile?", "options": {"A": "Red", "B": "Blue", "C": "Green", "D": "Yellow"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Pattern: 1 tile, 3 tiles, 5 tiles, 7 tiles... How many tiles in the next group?", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "A border uses a repeating pattern of Heart, Star, Circle. What is the 6th shape?", "options": {"A": "Heart", "B": "Star", "C": "Circle", "D": "Square"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "The first figure has 4 tiles. The second has 6 tiles. The third has 8 tiles. How many in the fourth?", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
  {
  "id": 6,
  "difficulty": "easy",
  "question": "Pattern: Red, Red, Blue, Red, Red, Blue... What is the 8th color?",
  "options": {
    "A": "Red",
    "B": "Blue",
    "C": "Green",
    "D": "Yellow"
  },
  "correct_answer": "A"
}
,  {"id": 7, "difficulty": "easy", "question": "A tile sequence is: A, B, C, A, B, C,... What is the 10th letter?", "options": {"A": "A", "B": "B", "C": "C", "D": "D"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Figure 1 needs 5 tiles. Figure 2 needs 8 tiles. Figure 3 needs 11 tiles. How many for Figure 4?", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "What is the core (repeating part) of this pattern? Triangle, Square, Triangle, Square, Triangle, Square", "options": {"A": "Triangle", "B": "Square", "C": "Triangle, Square", "D": "Square, Triangle"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "A pattern adds 2 tiles each time. If the first design has 3 tiles, how many does the third design have?", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "Pattern: 2, 4, 6, 8,... What is the 5th number in this tile count sequence?", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "The tile colors are: Green, Yellow, Green, Yellow, Green,... What color is the 7th tile?", "options": {"A": "Green", "B": "Yellow", "C": "Blue", "D": "Red"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Figure 1: 1 tile. Figure 2: 4 tiles. Figure 3: 7 tiles. How many tiles for Figure 4?", "options": {"A": "9", "B": "10", "C": "11", "D": "12"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "A repeating pattern is Up, Down, Left, Right. What is the 9th direction?", "options": {"A": "Up", "B": "Down", "C": "Left", "D": "Right"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "How many tiles are added each time in this sequence? 5, 7, 9, 11,...", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "Pattern: Circle, Circle, Square, Circle, Circle, Square... What is the 12th shape?", "options": {"A": "Circle", "B": "Square", "C": "Triangle", "D": "Star"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "The first arrangement has 6 tiles, the second has 10. How many tiles are added from one figure to the next?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "What is the missing shape? Diamond, Oval, Heart, Diamond, Oval, ?, Diamond, Oval, Heart", "options": {"A": "Diamond", "B": "Oval", "C": "Heart", "D": "Star"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "A tile path uses the pattern: Long, Short, Short, Long, Short, Short,... What is the 10th tile type?", "options": {"A": "Long", "B": "Short", "C": "Medium", "D": "Wide"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "If a pattern of 3 shapes repeats, and the 1st shape is a Star, what is the 13th shape?", "options": {"A": "The 1st shape", "B": "The 2nd shape", "C": "The 3rd shape", "D": "Cannot tell"}, "correct_answer": "A"},
   {
  "id": 21,
  "difficulty": "medium",
  "question": "A tile pattern starts with 1 tile. Each new figure adds a row of 2 tiles. How many tiles in the 4th figure?",
  "options": {
    "A": "4",
    "B": "6",
    "C": "7",
    "D": "8"
  },
  "correct_answer": "C"
}
, {"id": 22, "difficulty": "medium", "question": "The number of tiles follows the rule: 'Multiply the figure number by 3'. How many tiles for figure 5?", "options": {"A": "12", "B": "15", "C": "18", "D": "20"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Look at the pattern of tile counts: 4, 7, 10, 13... What is the rule?", "options": {"A": "Add 2", "B": "Add 3", "C": "Add 4", "D": "Multiply by 2"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "Figure 1 has 2 tiles. Figure 2 has 5 tiles. Figure 3 has 8 tiles. How many tiles does Figure 6 have?", "options": {"A": "14", "B": "15", "C": "16", "D": "17"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "A pattern's rule is 'Start with 6 and add 4 each time'. What is the 5th term in the sequence?", "options": {"A": "18", "B": "20", "C": "22", "D": "24"}, "correct_answer": "C"},
    {"id": 26, "difficulty": "medium", "question": "The tile count for figures is 3, 6, 9, 12... What is the 10th term?", "options": {"A": "27", "B": "28", "C": "29", "D": "30"}, "correct_answer": "D"},
    {"id": 27, "difficulty": "medium", "question": "A rectangular tile pattern has 2 rows. The first figure has 2 columns, the second has 3 columns, the third has 4 columns. How many tiles in the 5th figure?", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "The rule is 'Figure number times 2, plus 1'. How many tiles for figure 4?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "Pattern: 1, 4, 9, 16... What is the 6th term? (Hint: These are square numbers)", "options": {"A": "25", "B": "30", "C": "36", "D": "42"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "A growing L-shape adds 2 tiles to each arm. If Figure 1 has 3 tiles, how many does Figure 4 have?", "options": {"A": "7", "B": "9", "C": "11", "D": "13"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "The sequence of tiles is 2, 5, 8, 11... What is the 8th term?", "options": {"A": "20", "B": "21", "C": "22", "D": "23"}, "correct_answer": "D"},
   {
  "id": 32,
  "difficulty": "medium",
  "question": "A pattern of dots has 1 dot, then 3 dots, then 6 dots, then 10 dots. What is the pattern of increases?",
  "options": {
    "A": "+1, +2, +3, +4",
    "B": "+2, +3, +4",
    "C": "+2, +5, +4",
    "D": "+2, +4, +4"
  },
  "correct_answer": "B"
}
, {"id": 33, "difficulty": "medium", "question": "If the nth term of a sequence is 2n + 1, how many tiles are in the 7th figure?", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "A staircase pattern has 1 step (1 tile), 2 steps (3 tiles), 3 steps (6 tiles). How many tiles for 4 steps?", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "The tile count is given by the formula n x n. How many tiles for the 8th figure?", "options": {"A": "48", "B": "56", "C": "64", "D": "72"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "A pattern adds 3 tiles to the previous total. If the 3rd figure has 11 tiles, how many does the 5th have?", "options": {"A": "15", "B": "16", "C": "17", "D": "18"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Figures: 1=1 tile, 2=4 tiles, 3=7 tiles. What is the rule connecting figure number (n) to tile count (t)?", "options": {"A": "t = n + 2", "B": "t = 2n - 1", "C": "t = 3n - 2", "D": "t = 4n - 3"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "A cross pattern has 5 tiles, then 9 tiles, then 13 tiles. How many tiles in the next larger cross?", "options": {"A": "15", "B": "16", "C": "17", "D": "18"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "If a pattern of 4 colors repeats, what position will have the same color as the 15th tile?", "options": {"A": "3rd", "B": "5th", "C": "7th", "D": "11th"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "The number of tiles for n=1,2,3 is 6, 10, 14. How many for n=10?", "options": {"A": "38", "B": "40", "C": "42", "D": "44"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "A T-shape has 3 tiles, then 5 tiles, then 7 tiles. What is the rule?", "options": {"A": "Add 1", "B": "Add 2", "C": "Add 3", "D": "Multiply by 2"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "A sequence is 8, 13, 18, 23... What is the 12th term?", "options": {"A": "63", "B": "64", "C": "65", "D": "66"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "A tile pattern forms squares. The first square has side 1 (1 tile), the second has side 2 (4 tiles), the third has side 3 (9 tiles). How many tiles for a square of side 6?", "options": {"A": "24", "B": "30", "C": "36", "D": "42"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "The rule is 'n x (n+1)'. How many tiles for the 5th figure?", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "A pattern has 1 tile, 4 tiles, 9 tiles, 16 tiles... What is the 7th term?", "options": {"A": "36", "B": "42", "C": "49", "D": "56"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "A border uses a complex pattern: A, B, B, C, A, B, B, C,... What is the 15th element?", "options": {"A": "A", "B": "B", "C": "C", "D": "D"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "Figures: 1=2 tiles, 2=6 tiles, 3=12 tiles, 4=20 tiles. What is the pattern?", "options": {"A": "n x 2", "B": "n x (n+1)", "C": "n² + 1", "D": "2n²"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "A pattern's total tiles are 5, 8, 11, 14... How many tiles are in the 20th figure?", "options": {"A": "59", "B": "60", "C": "61", "D": "62"}, "correct_answer": "D"},
   {
  "id": 49,
  "difficulty": "medium",
  "question": "A growing spiral has 1, 2, 4, 7, 11... tiles. How many tiles are added from the 4th to the 5th figure?",
  "options": {
    "A": "3",
    "B": "4",
    "C": "5",
    "D": "6"
  },
  "correct_answer": "B"
}
,  {"id": 50, "difficulty": "medium", "question": "If the tile count t = 4n + 1, what is the value of t when n=8?", "options": {"A": "31", "B": "32", "C": "33", "D": "34"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "A pattern of triangles: 1, 3, 6, 10... (triangular numbers). What is the 5th term?", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "D"},
    {"id": 52, "difficulty": "medium", "question": "The number of tiles is always an odd number. The sequence is 3, 5, 7, 9... What is the 10th term?", "options": {"A": "19", "B": "20", "C": "21", "D": "22"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "A pattern has 2 red, 1 blue, 3 yellow, then repeats. What is the color of the 18th tile?", "options": {"A": "Red", "B": "Blue", "C": "Yellow", "D": "Green"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "A sequence starts at 10 and increases by 5 each time. What is the 15th term?", "options": {"A": "75", "B": "80", "C": "85", "D": "90"}, "correct_answer": "B"},
   {
  "id": 55,
  "difficulty": "medium",
  "question": "The rule is 'Double the previous number of tiles'. If Figure 1 has 3 tiles, how many does Figure 5 have?",
  "options": {
    "A": "24",
    "B": "36",
    "C": "48",
    "D": "64"
  },
  "correct_answer": "C"
}
, {"id": 56, "difficulty": "medium", "question": "A pattern of hexagons: 1, 7, 19, 37... What is the increase from the 3rd to the 4th figure?", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "C"},
    {"id": 57, "difficulty": "medium", "question": "If t = n² + 2, how many tiles are in the 6th figure?", "options": {"A": "36", "B": "37", "C": "38", "D": "39"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "A pattern has a core of length 5. What is the position of the tile that is the same as the 27th tile?", "options": {"A": "2nd", "B": "3rd", "C": "4th", "D": "5th"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "Figures: 1=4 tiles, 2=7 tiles, 3=10 tiles. Which figure will have 31 tiles?", "options": {"A": "8th", "B": "9th", "C": "10th", "D": "11th"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "A sequence is defined by the formula 3n - 1. What is the 25th term?", "options": {"A": "72", "B": "73", "C": "74", "D": "75"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "A pattern of rectangles: 2x1=2 tiles, 2x2=4 tiles, 2x3=6 tiles. How many tiles for a 2x10 rectangle?", "options": {"A": "18", "B": "20", "C": "22", "D": "24"}, "correct_answer": "B"},
    {"id": 62, "difficulty": "medium", "question": "The tile count for n=1,2,3 is 1, 5, 9. What is the rule?", "options": {"A": "t = n + 4", "B": "t = 4n - 3", "C": "t = 3n - 2", "D": "t = 5n - 4"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "A pattern adds 4 tiles to the previous total. If the 10th figure has 46 tiles, how many did the 1st figure have?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "A sequence is 12, 17, 22, 27... What is the first term greater than 50?", "options": {"A": "52", "B": "57", "C": "62", "D": "67"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "The number of tiles is n² + n. How many tiles for n=7?", "options": {"A": "49", "B": "56", "C": "63", "D": "70"}, "correct_answer": "B"},
    {"id": 66, "difficulty": "medium", "question": "A pattern of dots: 1, 5, 13, 25... What is the increase from the 2nd to the 3rd figure?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "C"},
    {"id": 67, "difficulty": "medium", "question": "If a pattern of 6 shapes repeats, and the 50th shape is a Circle, what is the 2nd shape in the core?", "options": {"A": "The same as the 48th", "B": "The same as the 49th", "C": "The same as the 50th", "D": "The same as the 51st"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "A formula for tiles is t = 5n + 2. How many tiles for the 100th figure?", "options": {"A": "500", "B": "502", "C": "520", "D": "550"}, "correct_answer": "B"},
    {"id": 69, "difficulty": "medium", "question": "A pattern: 2, 6, 12, 20... What is the 6th term?", "options": {"A": "30", "B": "36", "C": "42", "D": "48"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "The number of tiles in a cross is 4 times the figure number minus 3. How many tiles for figure 8?", "options": {"A": "27", "B": "28", "C": "29", "D": "30"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "A sequence is 0.5, 1.0, 1.5, 2.0... (tile side lengths). What is the 10th term?", "options": {"A": "4.5", "B": "5.0", "C": "5.5", "D": "6.0"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "A pattern's total tiles are 7, 12, 17, 22... What is the 15th term?", "options": {"A": "72", "B": "75", "C": "77", "D": "80"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "If t = 2n², how many tiles for n=5?", "options": {"A": "25", "B": "40", "C": "50", "D": "60"}, "correct_answer": "C"},
    {"id": 74, "difficulty": "medium", "question": "A pattern has a core of 'X Y Z Z'. What is the 21st tile?", "options": {"A": "X", "B": "Y", "C": "Z", "D": "Cannot tell"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "medium", "question": "The number of tiles for n=1,2,3 is 8, 14, 20. What is the rule?", "options": {"A": "t = 6n + 2", "B": "t = 7n + 1", "C": "t = 8n - 2", "D": "t = 9n - 1"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "A sequence is 10, 18, 26, 34... What is the 20th term?", "options": {"A": "152", "B": "154", "C": "156", "D": "162"}, "correct_answer": "D"},
    {"id": 77, "difficulty": "medium", "question": "A pattern of cubes: 1, 8, 27, 64... (cubic numbers). What is the 5th term?", "options": {"A": "100", "B": "115", "C": "125", "D": "135"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "The rule is 'Square the figure number and add 3'. How many tiles for figure 4?", "options": {"A": "17", "B": "18", "C": "19", "D": "20"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "A pattern: 1, 2, 4, 8, 16... (doubling). What is the 7th term?", "options": {"A": "32", "B": "48", "C": "64", "D": "72"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "If the 5th figure has 23 tiles and the 6th has 28, how many tiles does the 10th figure have?", "options": {"A": "43", "B": "48", "C": "53", "D": "58"}, "correct_answer": "B"},
    {"id": 81, "difficulty": "hard", "question": "A pattern of tiles forms a larger square each time. The side lengths are 1, 3, 5, 7... What is the area (number of tiles) of the 10th square?", "options": {"A": "19", "B": "81", "C": "100", "D": "361"}, "correct_answer": "D"},
    {"id": 82, "difficulty": "hard", "question": "The number of tiles is given by n(n+1)/2. What is the 10th term? (Triangular number)", "options": {"A": "45", "B": "50", "C": "55", "D": "60"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "A pattern's rule is 'Start with 3, then multiply by 2 and add 1 each time'. What is the 5th term?", "options": {"A": "23", "B": "31", "C": "47", "D": "63"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "The tile count for a spiral is 2, 6, 12, 20, 30... What is the 8th term?", "options": {"A": "56", "B": "64", "C": "72", "D": "81"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "If the nth term is 3n² - 2n + 1, how many tiles are in the 7th figure?", "options": {"A": "124", "B": "134", "C": "144", "D": "154"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "A pattern has 1, 5, 13, 25... tiles. What is the rule for the nth term?", "options": {"A": "2n² - 2n + 1", "B": "2n² + 1", "C": "3n² - 3n + 1", "D": "n² + (n-1)²"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "The sum of the tiles in the first 4 figures is 40. The figures have 4, 7, 10, 13... tiles. How many tiles in the first 10 figures?", "options": {"A": "150", "B": "155", "C": "165", "D": "175"}, "correct_answer": "D"},
    {"id": 88, "difficulty": "hard", "question": "A pattern's formula is t = (n x (n+1) x (n+2)) / 2. What is t for n=4?", "options": {"A": "30", "B": "40", "C": "50", "D": "60"}, "correct_answer": "D"},
    {"id": 89, "difficulty": "hard", "question": "A sequence is defined as: each term is the previous term plus the figure number. If the 1st term is 1, what is the 6th term?", "options": {"A": "16", "B": "18", "C": "21", "D": "25"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "The number of red tiles is n² and blue tiles is 2n. How many total tiles for n=8?", "options": {"A": "78", "B": "80", "C": "82", "D": "84"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "A pattern: 1, 3, 7, 15, 31... What is the next term? (Hint: Multiply and add 1)", "options": {"A": "47", "B": "53", "C": "63", "D": "65"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "If the 100th tile in a repeating pattern is Yellow, and the core is 7 tiles long, which position in the core is Yellow?", "options": {"A": "1st", "B": "2nd", "C": "3rd", "D": "4th"}, "correct_answer": "B"},
    {"id": 93, "difficulty": "hard", "question": "The tile count is a prime number sequence: 2, 3, 5, 7, 11, 13... What is the 7th term?", "options": {"A": "15", "B": "17", "C": "19", "D": "21"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "A pattern's total tiles are given by the formula 2n² + 3n + 1. How many tiles for n=10?", "options": {"A": "231", "B": "241", "C": "251", "D": "261"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "A sequence is 0, 1, 1, 2, 3, 5, 8, 13... (Fibonacci). What is the 10th term?", "options": {"A": "21", "B": "34", "C": "55", "D": "89"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "The number of tiles for n=1,2,3 is 1, 8, 27. What is the rule?", "options": {"A": "t = n²", "B": "t = n³", "C": "t = 3n", "D": "t = 4n - 3"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "If a pattern has 5 tiles in the core, and the 1st tile is A, what is the 1000th tile?", "options": {"A": "A", "B": "B", "C": "C", "D": "Cannot tell without full core"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "A pattern's growth is exponential: 2, 4, 8, 16... What is the 12th term?", "options": {"A": "1024", "B": "2048", "C": "4096", "D": "8192"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "The sum of the tiles in the first n figures is n(n+1)(n+2)/3. How many tiles in the first 5 figures?", "options": {"A": "30", "B": "70", "C": "40", "D": "45"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "A complex pattern has two alternating rules for odd and even figures. Odd: n², Even: 2n². What is the total for the first 4 figures?", "options": {"A": "50", "B": "35", "C": "40", "D": "45"}, "correct_answer": "A"}
  ]
}