  We show that electron states in disordered graphene, with an onsite potential
that induces inter-valley scattering, are localised for all energies at
disorder as small as 1/6 of the band width of clean graphene. We clarify that,
in order for this Anderson-type localisation to be manifested, graphene flakes
of size of approximately 200 x 200 nm^2 or larger are needed. For smaller
samples, due to the surprisingly large extent of the electronic wave functions,
a regime of apparently extended (or even critical) states is identified. Our
results complement earlier studies of macroscopically large samples and can
explain the divergence of results for finite-size graphene flakes.
