  The mono-jet search, looking for events involving missing transverse energy
(MET) plus one or two jets, is the most prominent collider dark matter search.
We show that multi-jet searches, which look for MET plus two or more jets, are
significantly more sensitive than the mono-jet search for pseudoscalar- and
scalar-mediated interactions. We demonstrate this in the context of a
simplified model with a pseudoscalar interaction that explains the excess in
GeV energy gamma rays observed by the Fermi Large Area Telescope. We show that
multi-jet searches already constrain a pseudoscalar interpretation of the
excess in much of the parameter space where the mass of the mediator (mA) is
more than twice the dark matter mass (mDM). With the forthcoming run of the LHC
at higher energies, the remaining regions of the parameter space where mA>2mDM
will be fully explored. Furthermore, we highlight the importance of
complementing the mono-jet final state with multi-jet final states to maximise
the sensitivity of the search for the production of dark matter at colliders.
