Math Mania 2005

  1. A movie was attended by 500 people. Adults paid $10 each and children paid $4 each. The total amount taken in was $4160. How many children attended?
  2. A regular decagon is a polygon with 10 congruent sides and 10 congruent interior angles. What is the degree measure of one of these interior angles?
  3. A jar contains 7 blue balls, 9 red balls, and 10 white balls. One by one, balls are drawn at random from the jar until either four balls of the same color or at least two balls of each color have been drawn. What is the largest number of balls that would have to be drawn?
  4. Find the next term in the sequence: 1, 1, 3, 7, 17, 41, 99, 239, 577, ...
  5. A magic square is a square array of numbers such that the sum of the numbers in each row, in each column, and each of the two main diagonals is the same. Complete the magic square shown below.
    square with 9 boxes and a 5, 1 and 8 in three of the boxes

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