1. What is the first time after 9 o'clock when the angle between the hands of a clock is 50 degrees?
2. A square and a regular hexagon are joined along an edge as shown in the figure. A third regular polygon can be placed at vertex A so that it shares a side with each of the other polygons. How many sides does the third polygon have?
3. What is the next most likely term in the following sequence: 1, 4, 13, 40, 121, 364, ...?
4. If a fair coin is tossed 6 times, what is the probability that the number of heads and tails is equal? Give your answer as a reduced fraction.
5. Alice and Bob can paint a room in 3 hours. Alice and Carol can paint the same room in 4 hours. Bob and Carol can paint the room in 6 hours. How long would it take to paint the room if Alice, Bob, and Carol all worked together?

Here are the answers.