In light of the results from the B factories, which clearly show that the Cabibbo-Kobayashi-Maskawa mechanism is the dominant source of the observed CP violation in K and B physics, only small deviations due to sources of CP violation beyond the Standard Model are likely. Therefore, in the quest for New Physics, null tests of the Standard Model become increasingly important. Motivated by these considerations, we describe a number of approximate null tests of the Standard Model. These tests provide several theoretically clean approaches to searching for new physics in the B system. We find that in many cases, the requisite sensitivity can only be achieved with an International Super B Factory, with luminosity around 10 36 cm −2 s −1 .