This research, carried in today's Irish Independent, says bullies are most likely to be girls who are in the same year but in a different class to their victim.
17% of second level students say they have been the victims of bullying - and one in ten admitted carrying it out themselves.
A quarter of victims never tell anyone about what they are going through.
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Cyber bullying usually goes on for one to two weeks and effects younger children more than older children.
The report comes following the deaths of a number of young girls in recent months - who took their own lives following claims of cyber bullying.