A simple set of integral equations with reduced unknowns and kernel singularity are derived for simulating arbitrarily-shaped two-dimensional inhomogeneous composite scatterers. By utilising a known equivalence between electric and magnetic currents, new equivalent currents are introduced with the resultant integral formulation exhibiting a volume integral in addition to a surface integral, each in terms of a single equivalent current component. A pulse basis-point matching moment method implementation of the reduced unknown integral equations is presented. Scattering patterns computed with the numerical code are compared with results obtained via alternative analytical techniques.