High density materials, e.g. for fishing weights or pellets or shot as ammunition, are composed of a material comprising high-density metal particles in particular tungsten-containing particles, in a settable or hardenable polymeric matrix providing a composite material of stable configuration. Fishing weights may be produced in known forms, or as flexible tubing to be cut to size by the user, or as a hinged pair of body parts which can be closed together to grip a line between them and to be reopened. For pellets or shot similar materials comprising a polymeric matrix can be provided, or such products can be pressed directly from a tungsten alloy. These products all offer particular advantages of non-toxicity, and the fishing weights can be given the ability to be re-used many times.