An actuarial position without something even remotely mathematically related?
Even a typical degree in accounting and business studies with some maths wouldn't suffice.
You're looking at mathematics, economics (with high mathematical content), engineering, science and actuarial science graduates who become actuaries.
EDIT: On second thought, it turns out that a non-mathematical degree is possible, providing that you can prove you hold high quantitative skills e.g. to at least A-level standard.
The above list of subjects greatly increase your chances.