We consider warped AdS(2) x M-4 backgrounds within F(4) gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by AdS(6) asymptotics and an M-4 given by a three-sphere warped over a segment. Subsequently, we provide the 10D uplift of the solutions to massive type IIA supergravity, where the geometry is AdS(2) x S-3 x S warped over a strip. Finally we construct the brane intersection underlying one of these supergravity backgrounds. The explicit setup involves a D0-F1-D4 bound state intersecting a D4-D8 system.