Ours here in the US is vaguely like that - three rooms upstairs with low ceilings, but the whole portion of the roof above those rooms is a much shallower pitch so that the ceilings are flat; the outer two rooms have built-in closets adjacent to the end walls though, and inside those the ceilings and roof above follow the steeper roof angle.
It's rather nice as it's still a big floor, but it's cheaper for tax purposes than a house that had an upper floor with the same footprint as the lower (puzzling, but I wasn't going to argue with the assessor when they came round :-)
cheers
Jules