Are there ways to revise current IQ tests and improve them so they are not culturally biased?
Here are a couple of very interesting sites that may give you some good ideas.
Yes, and it is done. The APA has done several exhaustive studies showing that the IQ differences in races in the US is not based on test construction or administration.
This is a hot political issue. Here is a summary article, however, it is showing some passionate bias. There are many others, but I could not find any better at summarizing the issue.