Theoretical studies of elastic electron scattering by a calcium atom have been made by employing a model complex optical potential (composed of static, exchange, polarization and absorption terms). The complex optical potential, free from any adjustable parameter, is treated exactly in a variable phase approach to yield scattering complex phase shifts and the differential scattering cross section in the intermediate energy region. The calculations were performed at electron impact energies 10, 60, and 100 eV. We report on the elastic, inelastic, and momentum transfer cross sections up to 500 eV and compare them with other results. The present method is quite simple in nature and is able to reproduce fairly well the experimental differential cross sections (DCS) and other cross sections in the present energy regions.