Scratches in Perspex panes can be removed with the  ROTWEISS Acrylic & Perspex Polishing Paste.
In case of deep scratches it could be possible to pre-treat with the ROTWEISS Grinding Paste RUBIN or with a wet sanding paper.

Use a polishing sponge or a soft cotton cloth.
Apply the polishing paste or the grinding paste onto the sponge and polish in small circular movements. Wipe-off remains of polish with a very slightly damp, fine micro fibre cloth.
Important: use only little material.
Do not allow the paste to dry on (possibly add a few drops of water)
and do not use it in sunshine.