We report on the synthesis and measurements of the temperature dependences of the resistivity rho, the penetration depth lambda, and the upper critical magnetic field H-c2, for polycrystalline samples of dodecaboride ZrB12 and diboride MgB2. We conclude that ZrB12 behaves as a simple metal in the normal state with the usual Bloch-Gruneisen temperature dependence of rho(T) and with a rather low resistive Debye temperature T-R = 280 K (to be compared to T-R = 900 K for MgB2). The rho(T) and lambda(T) dependences for these samples reveal a superconducting transition in ZrB12 at T-c = 6.0 K. Although a clear exponential lambda(T) dependence in MgB2 thin films and ceramic pellets was observed at low temperatures, this dependence was almost linear for ZrB12 below T-c/2. These features indicate an delta-wave pairing state in MgB2, whereas a d-wave pairing state is possible in ZrB12. In disagreement with conventional theories, we found a linear temperature dependence, of H-c2(T) for ZrB12 (H-c2(0) = 0.15 T). (c) 2005 Pleiades Publishing, Inc.