The present disclosure relates to impellers with removable and replaceable vanes, and methods of constructing such impellers. According to aspects of the present disclosure, a plurality of impeller back plates are provided with differently configured slots to receive removable vanes. In addition, a plurality of differently configured vanes are disclosed which may be connected to the plurality of impeller back plates. As a result, the desired performance characteristics of a pump based upon end use applications may be efficiently and quickly achieved by combining appropriately configured vanes and back plate into a desired impeller providing the desired characteristics, together with a particular pump casing and motor.