This group is from 2002.
Difficulty: Easy. About those fractions .... similar to the Harmonic Mean and to resistance in parallel if if were addition.
Difficulty: Fairly difficult for your students.
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 03 and answer 39.