Monte Carlo calculations have been made for the penetration of slab shields by gamma radiation of monoenergetic character. The radiation is in the form of parallel, broad beams incident on the front face of the slab at various angles having cosines between 0.25 and 1.0. The beam photon energies vary between 0.661 and 6.13 MeV. The slab thicknesses extend to 10 mean-free-paths. The results are provided in the form of tables and graphs for exposure transmission buildup factors as a function of slab thicknesses. Comparison with previous work shows good agreement; however, this work goes somewhat beyond previous contributions.