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Magnetic field shielding properties of coils and sheets of silver sheathed (Bi,Pb)2Sr2Ca2Cu3O10+x tapes (1G superconductor tapes) and YBa2Cu3O7 coated conductors (2G superconductor tapes) are reported. Shielding properties were measured at 77 K, with varying field amplitude and frequency of external magnetic field, using Hall probes and a phase sensitive technique. Shielding factor data on several coils and sheets are presented as a function of external field amplitude and frequency. Magnetic field shielding of up to 50% was observed at field amplitudes of < 10 mT. Differences in frequency dependence of shielding properties of test shields fabricated from 1G and 2G conductors are discussed.