1990 - 4, 5, and 6

This new set is from the 1990 test.

Difficulty: Easy.

Difficulty: Easy.

Difficulty: Easy, but with a twist.

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 2013

answer 04, answer 05, answer 06, Published 5/8.