The top quark is unique among the known quarks in that it decays before it has an opportunity to form hadronic bound states. This makes measurements of its properties particularly interesting as one can access directly the properties of a bare quark. Measurements of the charge asymmetry in top quark pair production, which probe models of physics beyond the Standard Model, are presented; these include measurements at high invariant masses of the $t\bar{t}$ system using boosted top quarks. Limits on the rate of flavour-changing neutral currents in the production or decay of the top quark are discussed.