Over the last few years, the school has had to make some GCSE class sizes slightly bigger in subjects like maths and science, and has had to cut human biology classes entirely.
Mr Drew says the school benefits from its good reputation, and that word of mouth is "the single best recruiter" of new teachers.
Recent bursary changes in some shortage subjects has increased the supply of teachers in some areas. Starting salaries also recently increased to £30,000, while teachers received an average pay rise of 5.5% last year, fully funded by the government.
But recruitment targets are still being missed, the NFER says.
For primary schools, the number of teacher trainees has fallen from 94% of the government's target last year, to 88% this year, according to DfE figures.
And in secondary schools, though the number of teachers has grown by 3% since 2015, pupil numbers have grown by 15% in the same time - meaning the number of students in class sizes above 30 has increased.
The NFER's school workforce lead, Jack Worth, says more students are now being taught by unqualified or non-specialist teachers, with the impact felt more acutely by students living in disadvantaged areas.
"The spending review in June is a real now or never moment. Not taking that opportunity will really risk not delivering [on the 6,500 promise] and not having anything to show the electorate at the end of the parliament."
Mr Worth says "pay increases above average earnings", reducing teacher workload and bursaries and career retention payments are all important for attracting more teachers.
The NFER report also predicts teacher recruitment in subjects like English will decline slightly next year.
Bethan Harvey is a qualified history teacher, but is currently teaching English full-time due to the demand for more teachers in the subject.
"I thought, 'I can do this, I did A-level English,'" she says.
Ms Harvey is now doing a part-time masters degree in English to become a specialist in the subject.