Saturday Pair: 4 and 38

This group is from 2002.

Problem 4

 

Difficulty: Easy.  Of course, the only thing worse than fractions for the average kid is compound percentages. That little difference.

Problem 38

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 04 and answer 38.