We report the temperature dependence of the magnetic susceptibility of single crystals of PrB4, GdB4, TbB4, HoB4 and TmB4, both parallel and perpendicular to the tetragonal c-axis. We also present low temperature resistance measurements on crytals of GdB4 through TmB4. Two magnetic phase transitions are found for TbB4, DyB4, HoB4 and TmB4. For the latter two compounds, the lower transitions appear to be first order. For HoB4, we have measured the low temperature specific heat. The lower transition in TbB4 and HoB4 is rapidly depressed upon dilution with YB4. © 1981.