1. At a bake sale, cookies sell for $1.25 each and brownies sell for $1.50 each. If 120 items were sold for a total of $170, how many brownies were sold?

2. What is the angle between the hands of a clock at 3:45?

3. A square and a regular pentagon 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 two polygons. How many sides does the third polygon have?
   

4. If a fair coin is tossed six times, what is the probability that heads appear exactly three times?

5. If x + 1 is a factor of x³ + 3x² + kx + 6,what must k be?

6. A regular octagon (shaded) is inscribed in a square as shown. What is the ratio of the length of a side of the square to the length of a side of the octagon?
   

7. What’s the radius of the circle passing through the points (0,0), (6,0), and (4,2)?

8. Find all real solutions to the equation |log₂|log₂ x|| = 1.

TIEBREAKER: If one considers patterns that differ by a rotation or by a reflection to be equivalent, there are six essentially different ways of coloring a 2×2 array of unit squares with two colors:

How many essentially different ways are there of coloring a 3×3 array of unit squares with two colors?

Note: The team getting closest to the correct answer wins.

Here are the answers.