Measurements of $CP$ observables in $B^{pm} rightarrow D K^{*pm}$ decays are presented, where $D$ denotes a superposition of $D^0$ and $overline{D^0}$ meson states. Decays of the $D$ meson to $K^{-}pi^{+}$, $K^{-}K^{+}$, $pi^{-}pi^{+}$, $K^{-}pi^{+}pi^{-}pi^{+}$ and $pi^{-}pi^{+}pi^{-}pi^{+}$ are used and the $K^{*pm}$ meson is reconstructed in the $K^{0}_{mathrm{S}}pi^{pm}$ final state. This analysis uses a data sample of $pp$ collisions collected with the LHCb experiment, corresponding to integrated luminosities of 1 $mathrm{fb}^{-1}$, 2 $mathrm{fb}^{-1}$ and 1.8 $mathrm{fb}^{-1}$ at centre-of-mass energies $sqrt{s} = $ 7 TeV, 8 TeV and 13 TeV, respectively. The sensitivity of the results to the CKM angle $gamma$ is discussed.
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