Girls looking for work experience were also likely to find themselves in hairdressing salons while boys went to the "local garage".
"This isn't good for either sex," said Dame Athene.
She pointed out that her own field of physics was notorious for its lack of girl students, who accounted for only about a fifth of all those taking the subject at top levels.
Computing was even less popular with girls - but in psychology they were a "substantial majority".
Notably, girls from single-sex schools were two and a half times more likely to take A level physics than those from mixed schools, the professor added.
A study about two years ago had shown that half of mixed schools in the UK did not send a single girl on to study physics A level.
"If teachers and parents, peers and the media give the message to the teenage girl that physics and engineering are subjects for boys and men we should not be surprised," said Dame Athene.
But she stressed that a lack of science education was by no means confined to women. It appeared to be culturally acceptable in a way that ignorance about the arts was not.
"If a politician says I can't do maths, no-one thinks, philistine," said Dame Athene. "If they admitted to never having read any Shakespeare or Dickens, the attitude would be very different."
- AAP