MathMania 2011

  1. You have a total of 46 quarters and dimes worth $7. How many of each type of coin do you have?

  2. From a pool of 6 women and 4 men, a committee consisting of 3 women and 2 men must be formed. In how many ways can this be done?

  3. Find the most likely next term in the sequence: 1, 1, 1, 4, 10, 25, 64, 163,

  4. In a 100 meter race, Alice beats Bob by 10 meters and Bob beats Charlie by 20 meters. By how many meters did Alice beat Charlie?

  5. The sum of two numbers is 4 and the sum of their reciprocals is 2. What is the sum of their squares?

  6. Find the total number of rectangles (of any size) in the figure shown.

Here are the answers.