We measure the branching fractions for seven   <math> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> </math>  $$ {D}_s^{+} $$  two-body decays to pseudo-scalar mesons, by analyzing data collected at   <math> <msqrt> <mi>s</mi> </msqrt> </math>  $$ \sqrt{s} $$  = 4.178 ∼ 4.226 GeV with the BESIII detector at the BEPCII collider. The branching fractions are determined to be  <math> <mtable> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <mi>η</mi> <mo>'</mo> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>2.68</mn> <mo>±</mo> <mn>0.17</mn> <mo>±</mo> <mn>0.17</mn> <mo>±</mo> <mn>0.08</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <mi>η</mi> <mo>'</mo> <msup> <mi>π</mi> <mo>+</mo> </msup> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>37.8</mn> <mo>±</mo> <mn>0.4</mn> <mo>±</mo> <mn>2.1</mn> <mo>±</mo> <mn>1.2</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <mi>η</mi> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>1.62</mn> <mo>±</mo> <mn>0.10</mn> <mo>±</mo> <mn>0.03</mn> <mo>±</mo> <mn>0.05</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <mi>η</mi> <msup> <mi>π</mi> <mo>+</mo> </msup> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>17.41</mn> <mo>±</mo> <mn>0.18</mn> <mo>±</mo> <mn>0.27</mn> <mo>±</mo> <mn>0.54</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <msubsup> <mi>K</mi> <mi>S</mi> <mn>0</mn> </msubsup> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>15.02</mn> <mo>±</mo> <mn>0.10</mn> <mo>±</mo> <mn>0.27</mn> <mo>±</mo> <mn>0.47</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msubsup> <mi>K</mi> <mi>S</mi> <mn>0</mn> </msubsup> <msup> <mi>π</mi> <mo>+</mo> </msup> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>1.109</mn> <mo>±</mo> <mn>0.034</mn> <mo>±</mo> <mn>0.023</mn> <mo>±</mo> <mn>0.035</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> <mtr> <mtd>  <mi>B</mi> <mfenced> <mrow> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> <mo>→</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mn>0</mn> </msup> </mrow> </mfenced> <mo>=</mo> <mfenced> <mrow> <mn>0.748</mn> <mo>±</mo> <mn>0.049</mn> <mo>±</mo> <mn>0.018</mn> <mo>±</mo> <mn>0.035</mn> </mrow> </mfenced> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mtd> </mtr> </mtable> </math>  $$ {\displaystyle \begin{array}{c}\mathcal{B}\left({D}_s^{+}\to {K}^{+}\eta \hbox{'}\right)=\left(2.68\pm 0.17\pm 0.17\pm 0.08\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to \eta \hbox{'}{\pi}^{+}\right)=\left(37.8\pm 0.4\pm 2.1\pm 1.2\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to {K}^{+}\eta \right)=\left(1.62\pm 0.10\pm 0.03\pm 0.05\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to \eta {\pi}^{+}\right)=\left(17.41\pm 0.18\pm 0.27\pm 0.54\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to {K}^{+}{K}_S^0\right)=\left(15.02\pm 0.10\pm 0.27\pm 0.47\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to {K}_S^0{\pi}^{+}\right)=\left(1.109\pm 0.034\pm 0.023\pm 0.035\right)\times {10}^{-3},\\ {}\mathcal{B}\left({D}_s^{+}\to {K}^{+}{\pi}^0\right)=\left(0.748\pm 0.049\pm 0.018\pm 0.035\right)\times {10}^{-3},\end{array}} $$

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Precise measurements of branching fractions for   <math> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> </math>  $$ {\mathrm{D}}_{\mathrm{s}}^{+} $$  meson decays to two pseudoscalar mesons