I think in early days the maximum strength one could distil alcohol to was less by a fair way to being 100%, seems they were unaware it was not 100%, so rather than change the rating they gave it another name, think called "Proof" the other was petrol, which was compared to two paraffins. Long time ago when a school but think CnH2n+2 is a paraffin, so C7H16 and C8H18 I think were the two used to calibrate the engine.
There have subsequently periodically been suggestions that the degree should be 'metricated'
Is that what we call radians, 360 degrees = 2π radians. It seems easier to work some things out in radians. So why is a pi chart a circle, should in not be a semicircle?
That's just plain wrong ... half a pint is
two gills, not one
What I remember is a measure is 1/6th of a gill in England and Wales, and 1/5th of a gill in Scotland. Today

Beer and cider seem to be still imperal.

I have never bought a 1/3 of a pint of beer, I have when drinking beer on the train told them not to fill the glass, as the push-pull train was shaking quite a bit, and if full I would just spill it. Not a corridor train, but Tan-y-llyn it was passed through the windows at end of carriages, and W&LLR it was passed veranda to veranda. I remember it was cheap, around £2 a pint, and good stuff, but it was only open to volunteers of the North Wales narrow gauge railways, so think no profit was made.