MathMania 2026

  1. In how many ways can 10 dollars be changed into dimes and quarters with at least one of each type of coin being used?
  2. What is the next most likely term in the sequence? 1, 2, 5, 12, 29, 70, …
  3. What is the first time after 3 o’clock when the angle between the minute hand and the hour hand is 35 degrees?
  4.  Four regular polygons meet at a vertex with no overlap as shown in the figure. One of the polygons is a square and one is an equilateral triangle. What are the possibilities for the other two polygons? Please give all possibilities. Note that polygons around the vertex are allowed to be congruent.
    polygon