We report the first 10B NMR experiments on borate glasses and related polycrystals using modern, fixed field, pulsed NMR in combination with a secondary field sweep coil. All six transitions from the I=3 nucleus could be observed. The spectra obtained have been compared with those simulated using third order perturbation theory and we have determined the quadrupole parameters for 10B in various systems with a precision which is more than an order of magnitude improved when compared with values reported to date from central transition 11B MAS NMR. The program used to simulate the data also allows a distribution of quadrupole parameters to be fitted for each distinct site, thus taking into account the distribution of environments for a given site in a glass.