OK  Here's my two cents worth.
First put tape across the area.
Make sure it wont take the silk screen printing off.
Get a small drill. A 1mm PCB  drill is a good choice.
Drill through with the drill set to a fast but not too fast speed.
Turn the work over and re-clamp it. open up the hole but don't drill
right through,
Turn back to the  side you started with and drill right through.
Rod
On 27/10/15 16:33, Jon Elson wrote:
  On 10/26/2015 11:38 PM, Chuck Guzis wrote:
  On 10/26/2015 08:54 PM, wulfman wrote:
  To effectively drill in plastics you need to run
the drill press on
 the highest speed you can and use a freshly sharpened drill bit. 
 If this is Perspex/Plexiglas, I've had great results with a good
 sharp Forstner bit in my drill press at medium (say 750 RPM) speed
 and a not-too aggressive feed..  No melting, just lots of crumbly
 shavings. I've done this with sizes down to about 1/4", but no
 smaller.  When you're almost through the material, turn it over and
 complete the hole from the back side.   Very clean edges, with no
 chips at all 
 The ultimate way to drill holes in Plexi is with an end mill.  It can
 make a slight chipping when it punches through the back, so you either
 need a backstop material or lighten up the feed a bit just before it
 goes through.  (This of course requires a center-cutting end mill, I
 prefer 4-flute for this.)
 Even better than just plunging an end mill is to use a CNC mill and a
 cutter smaller than the required hole diameter.
 You use a pocket boring routine, set up for "climb milling" and after
 working through the material in several depth steps just less then the
 desired diameter, does a finish pass at full depth to bring it to
 final hole size.  This takes longer to describe than it actually takes
 the machine to perform, and leaves beautiful holes.
 Jon