Algebra 2 Summer Bridges
Section 3: Problem Solving
1. A board game spinner is divided into three regions labeled A, B and C. The
probability of the arrow stopping on region A is one third, and on region B is one
half. What is the probability of the spinner stopping on region C?
2. A semicircle of diameter 1 sits atop a semicircle of diameter 2. Find the area of the
shaded region.
3. A point (x,y) is randomly picked from inside the rectangle with verticies (0,0),
(4,0), (4,1), and (0,1). What is the probability that x < y?
4. Given the rectangle ABCD (shown below) has a total area of 72. E is in the
midpoint of BC and F is the midpoint of DC. What is the area of the inscribed triangle
AEF?
5. A company sells grape jelly in cylindrical jars. After marketing research, using a
larger diameter would sell more jelly. If the diameter is increased by 25%, without
altering the volume, by what percent would the height have to be decreased?