Further Mathematics has a reputation as the subject only the bravest students attempt. I think that reputation undersells it. For the right student, H2 Further Mathematics is one of the most rewarding choices on the A-Level table, and here is what it actually gives you.
It offers a genuine head start at university. The current H2 Further Mathematics syllabus covers linear algebra, mathematical induction, second-order differential equations, and hypothesis testing, the very topics that resurface in first-year engineering, the physical sciences, and data analytics, and that feed into econometrics, business analytics, and even sociology. You meet this material once before your peers do, then again at university with the hard edges already worn off.
It also strengthens the rest of your maths. The extra techniques you pick up in Further Mathematics regularly unlock the toughest questions in the ordinary H2 Math paper, so the two subjects lift each other. The syllabus has shifted over the years towards application rather than difficulty for its own sake, and compared with the pre-2007 version it now spans a far wider range of topics that connect directly to degrees in the sciences and computer science.
Finally, it carries weight where it counts. If you are aiming for mathematics or the physical sciences at a leading overseas university, a strong Further Mathematics grade reads as a real signal of ability. Cambridge and the University of Warwick, for instance, use the Sixth Term Examination Papers (STEP) to pick out students of exceptional mathematical talent, and Further Mathematics is the natural preparation for exactly that kind of challenge.