Arms control and special nuclear material reduction requirements will eventually encompass shielded highly enriched uranium (HEU) systems. Non-destructive analysis (NDA) techniques for plutonium such as neutron multiplicity measurements and analysis are well developed and provide information regarding the properties of plutonium systems. In a previous study (1) we developed a NDA method for determining the mass and neutron multiplication of subcritical bare metal systems of HEU. In this work we present results for a HEU sphere enclosed within various shielding materials of low density, (carbon and beryllium), medium density (iron) and high density (lead).