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He was accompanied by Baroness Sayeeda Warsi and British High Commissioner to Pakistan Adam Thomson.
During his brief visit, the British Prime Minister used the opportunity to chat with the students and school staff.
He also got a chance to quiz young students during an "Earth Day" quiz competition taking place at the school.
The Prime Minister was also shown art work prepared by students of the college.
The girls college is also a member of the British Council's "Connecting Classrooms" project that links together schools in the UK and Pakistan.