Centrifugal pump characteristics at different pump operating speeds are important for the successful operation of pumps in various areas of technology. In paper the pump characteristics are discussed to calculate the characteristic functional curves H = f (Q), Pw = f (Q), Pf = f (Q), η = f (Q) of given type of pump, specific work and flow of fluid at different frequencies of rotation, to demonstrate the connection of centrifugal pumps in serial and parallel, to product map of characteristic curves with an ISO efficiency curve and to verify the similarity rules for pumps. Using calculation focused analyses the behavior of individual characteristic curves of the pump, to find how the ISO efficiency curve can be applied for the determination of the most efficient frequency of a pump rotation. Based on calculation will be decided when to connect the pumps in series or in parallel.