This was asked to me and I didn't know the answer so I thought I would pass it to the forum....

When driving up a big long hill is it better for the engine to either floor it in fifth at the bottom and keep the pedal flat down only changing down when you have to as you are either about to drop off the turbo if you are in a turbo D or the engine is about to lug if it's a petrol
OR
Drop it to 4th at the beginning of the hill and use part throttle but much higher revs.
I know there are literally loads of variables such as engine type, condition etc but we are only talking hypotheticals.
Also which will use less fuel?
Cheers,
Matt