We develop an exceptional generalised geometry formalism for massive type
IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative,
which generates the type IIA gauge transformations as modified by the Romans mass.
We apply this new framework to consistent Kaluza-Klein reductions preserving maximal
supersymmetry. We find a generalised parallelisation of the exceptional tangent bundle
on S
6
, and from this reproduce the consistent truncation ansatz and embedding tensor
leading to dyonically gauged ISO(7) supergravity in four dimensions. We also discuss
closely related hyperboloid reductions, yielding a dyonic ISO(p, 7 − p) gauging. Finally,
while for vanishing Romans mass we find a generalised parallelisation on S
d
, d = 4, 3, 2,
leading to a maximally supersymmetric reduction with gauge group SO(d + 1) (or larger),
we provide evidence that an analogous reduction does not exist in the massive theory.