Parents are so desperate to enrol their children in public primary schools with impressive results or in popular areas that they have resorted to extreme measures such as producing fraudulent documents to claim they live within the school's boundaries.

Some of Sydney's top performing schools have swelled to more than 1000 students and others in areas that have had a recent baby boom have doubled in size in just four years, prompting concerns from parents and education experts about overcrowding and a loss of community in schools.

The latest enrolment data from the NSW Department of Education and Communities shows some primary schools in the eastern suburbs, including Vaucluse and Maroubra Bay, have doubled their student numbers since 2010.

At Vaucluse Public School student numbers have doubled to 301 while at Maroubra Bay the student population has increased from 133 to 261. High achieving schools such as Matthew Pearce in Baulkham Hills are now well beyond capacity at 1184 students. In the inner west, Orange Grove Public School has seen its population increase by 83 per cent to 343 students since 2010.

Many of Sydney's most popular schools in the inner west and lower north shore are so full that principals refuse to accept out-of-area enrolments, even if siblings are already at the school, and insist that parents produce several pieces of original identification with a current address before a child is enrolled.