Bit of a nitpick, but I'd rather we organize like actuaries rather than lawyers. A rigorous exam is fine, but I think it's important to keep multiple educational paths open. I'd hate to see a single accredited degree path as the only option for licensing[1].

In short, a math major with a CS emphasis should be allowed to take the exam. Or, in my opinion, even someone who is just really great at self study.

[1] I know, there are some alternative paths in law, but still very limited.