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A search for \CP violation in Cabibbo-suppressed $D^{\pm}\rightarrowK^0_{\mathrm{S}} K^{\pm}$ and $D^{\pm}_{s}\rightarrow K^0_{\mathrm{S}}\pi^{\pm}$ decays is performed using $pp$ collision data, corresponding to anintegrated luminosity of 3~fb$^{-1}$, recorded by the LHCb experiment. Theindividual $CP$-violating asymmetries are measured to be \begin{eqnarray*}  \mathcal{A}_{CP}^{D^{\pm}\rightarrow K^0_{\mathrm{S}} K^{\pm}} & = & (+0.03\pm 0.17 \pm 0.14) \%  \mathcal{A}_{CP}^{D^{\pm}_{s}\rightarrow K^0_{\mathrm{S}} \pi^{\pm}} & = &(+0.38 \pm 0.46 \pm 0.17) \%, \end{eqnarray*} assuming that $CP$ violation inthe Cabibbo-favoured decays is negligible. A combination of the measuredasymmetries for the four decay modes $D^{\pm}_{(s)}\rightarrow K^0_{\mathrm{S}}K^{\pm}$ and $D^{\pm}_{(s)}\rightarrow K^0_{\mathrm{S}} \pi^{\pm}$ gives thesum \[  \mathcal{A}_{CP}^{D^{\pm}\rightarrow K^0_{\mathrm{S}} K^{\pm}} +\mathcal{A}_{CP}^{D^{\pm}_{s}\rightarrow K^0_{\mathrm{S}} \pi^{\pm}} = (+0.41\pm 0.49 \pm 0.26) \%. \] In all cases, the first uncertainties are statisticaland the second systematic. The results represent the most precise measurementsof these asymmetries to date and show no evidence for CP violation.

Search for CP violation in $D^{\pm}\rightarrow K^0_{\mathrm{S}} K^{\pm}$ and $D^{\pm}_{s}\rightarrow K^0_{\mathrm{S}} \pi^{\pm}$ decays