The method of moments (MoM) is an efficient technique for the solution of electromagnetic scattering problems. Problems encountered in real-life applications are often three dimensional and involve electrically large scatterers with complicated geometries. When the MoM is employed for the solution of these problems, the size of the resulting matrix equation is usually large. It is possible to reduce the size of the system of equations by improving the geometry modeling technique in the MoM algorithm. Another way of improving the efficiency of the MoM is the fast multipole method (FMM). The FMM reduces the computational complexity of the convensional MoM. The FMM has also lower memory-requirement complexity than the MoM. This facilitates the solution of larger problems on a given hardware in a shorter period of time. The combination of the FMM and the higher-order geometry modeling techniques is proposed for the efficient solution of large electromagnetic scattering problems involving three-dimensional, arbitrarily shaped, conducting suriace scatterers.