How to remove scratches from clear perspex

Using a piece of wet, 800 grit sandpaper, run this over the scratch(es) in a circular, buffing motion and then repeat with a dry piece of the same sandpaper. Keep alternating between the wet and dry pieces, rubbing for two to three minutes at a time. If it begins to look frosty this is just part of the process and these will disappear during the sanding. Move onto the grade 1200 paper and continue with the circular buffing motions, before drying to area fully with a soft, dry cotton cloth. If you have acrylic polish, this will help the material shine and look as good as new.