The only way I can find to do this is if I save the branches of the tree that I want on the tablet as a Gedcom file from my Family Tree program and then upload them to my Ancestry account -ie Start A New Tree. The tree is then automatically available, via the app, on my tablet.
This works fine so long as I remember to tick the box on Ancestry to keep the tree private.
If anyone knows of a more direct way to do it .....?