  We present experimental results on the counting rate measurements for several
single-gap $^{10}$B lined resistive plate chambers ($^{10}$B-RPCs) with anodes
made from standard float glass, low resistivity glass and ceramic. The
measurements were performed at the V17 monochromatic neutron beamline (3.35
\.A) at the Helmholtz-Zentrum Berlin. For the $^{10}$B-RPCs with 0.28 mm thick
float glass a maximum counting rate density of about $8\times 10^{3}$
$Hz/cm^{2}$ was obtained. In the case of low resistivity glass and ceramic, the
counting rate density did not deviate from linear dependence on the neutron
flux up to the maximum flux available at this beamline and exceeded a value of
$3\times 10^{4}$ $Hz/cm^{2}$.
