Semi-empirical cross-sections and rates are presented for transitions between highly-excited levels of hydrogen atoms induced by electron impact. Our results are obtained from classical and semi-classical theories and are valid whenever the initial and final quantum numbers satisfy n, n' 5. The cross-sections are valid for the energies, 4/n2 <E/R<(137)2, and are at worst in error by about 15 per cent. The rates are valid for the temperatures, I06/n2 < T/K<3. I0 , and are at worst in error by about 20 per cent. Results are presented as simple analytic formulae, and are closer to the results of Johnson than to other work.