Eleven selected regions of sky have been surveyed at an observing frequency of 4.85GHz to limiting flux densities as low as 0.01Jy. The surveys provide a sample of 118 sources for source counts from a solid angle of 7.14x10^-3^sterad. The resulting counts are in excellent agreement with those from a previously surveyed region. The combined counts show a smooth convergence below a flux density of about 0.15Jy and indicate that the convergence becomes steeper below a flux density of 0.02Jy. No evidence for anisotropy is found.