  We present an analysis of the Qatar-1 and TrES-5 transiting exoplanetary
systems, which contain Jupiter-like planets on short-period orbits around
K-dwarf stars. Our data comprise a total of 20 transit light curves obtained
using five medium-class telescopes, operated using the defocussing technique.
The average precision we reach in all our data is $RMS_{Q} = 1.1$ mmag for
Qatar-1 ($V = 12.8$) and $RMS_{T} = 1.0$ mmag for TrES-5 ($V = 13.7$). We use
these data to refine the orbital ephemeris, photometric parameters, and
measured physical properties of the two systems. One transit event for each
object was observed simultaneously in three passbands ($gri$) using the BUSCA
imager. The QES survey light curve of Qatar-1 has a clear sinusoidal variation
on a period of $P_{\star} = 23.697 \pm 0.123$\,d, implying significant starspot
activity. We searched for starspot crossing events in our light curves, but did
not find clear evidence in any of the new datasets. The planet in the Qatar-1
system did not transit the active latitudes on the surfaces of its host star.
Under the assumption that $P_{\star}$ corresponds to the rotation period of
Qatar-1\,A, the rotational velocity of this star is very close to the $v \sin
i_\star$ value found from observations of the Rossiter-McLaughlin effect. The
low projected orbital obliquity found in this system thus implies a low
absolute orbital obliquity, which is also a necessary condition for the transit
chord of the planet to avoid active latitudes on the stellar surface.
