Difficulty: easy-ish. A little trigonometric - algebraic manipulation and "Surprise!"
Difficulty: Easy. At least once in every test, in some form or another, the creators work the year into a problem. This test was for 2007.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest
answer 18 and answer 24.