There are many types of `perspex` type materials even in the perspex brand PMMA, copolymerised with toughening monomers such as butyl methacrylate etc, some with rubber type tougheneing, in the basic PMMA form (polymethyl methacrylate) they can be softened with heat and melted down, thermformed etc, even though many class them chemicaly as thermoset, many/most are actualy thermoplastics easily softened by heat and even used as a basis for a lot of heat activated adhesives
The 2 types normaly found in PMMA based `perspex` are cast and extruded, the cast and extruded are not chemicaly identical even though both very similar and both PMMA, some arent PMMA but still have similar properties
Cast acrylic is formed by the pouring of a liquid monomer/curing agent into a mould, normaly shets of glass, ths is of a very high molecular weight so is not good for thermoforming, good for drilling as it doesnt melt, the properties can be varied with additives but also by the temperature of cure and cure initiators
Extruded acrylic is what it says, its squirted out into sheets, its a lower molecular weight polymer, still PMMA but ust cured diffreently, the type of cure of a PMMA polymer can cause great differences to the mw of the polymer formed, again they can be varied with additives copolymers etc but also by the temperature of cure and cure initiators
In practice its normal to not use a pure PMMA for either, using an additive comonomer to crosslink it, depending on the degree of crosslinking double bonds in the comonomer that crosslinks with the main monomer, the polymer will have different properties to the thermoplasticity,rigidity,chemical resistance etc adding about 3% of a glycol dimethacrylate can make it non thermoplastic, chemical resistant and more rigid
I always find to drill perspex, i use plasticine around the drill to form an area that can be filled with water, i drill through the water using it as a coolant and lubricant for the drill