Order in the Court

The Supreme Court of the United States is the highest court in the country. It consists of a Chief Justice and eight Associate Justices.

The Court begins each term on the first Monday in October. Suppose that on that first day, each Justice greets every other Justice by shaking hands exactly once.

How Deep is It?

A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has 5 feet of water in it.

Growing Worms

Around the Corner

The steel girders being used to construct a building are 27 feet long. One of the corridors the girders are to be carried down has a 90° turn at the end. The width of the hall before the turn is 8 feet.

Visiting Friends

Flying High

A plane traveling 400 mph is rising at an angle of 30 degrees. A second plane, traveling 300 mph, is rising at an angle of 40 degrees.

Capture the Flag!

The Algebra and Geometry classes at Mathland Hgh School are planning to play a game of Capture the Flag in the woods behind the school. They’ve been discussing how to fairly divide the woods into two territories.

They’ve drawn a map of the woods and added a coordinate plane. The Algebra class will put their base at (-8, 15). The Geometry class will put their base at (4, -3).