Math Mania 2006

  1. You have 21 dimes and quarters with a total value of $3. How many dimes do you have?
  2. Find the next term in the sequence: 1, 2, 5, 12, 29, 70, 169, 408, ...
  3. The sum of two numbers is 20 and the sum of their squares is 270. What is the product of the two numbers?
  4. If log3(log2 x)) = 2 , find x.
  5. What is the radius of a circle inscribed in a triangle having sides of length 5, 12, and 13?

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