You can apply for a scholarship at the University of Westminster if you have been offered either a conditional or unconditional place but please note that you must apply for the scholarship before your course starts...
If, however, you are an undergraduate UK/EU student who started your course under the new tuition fee regime then there are a number of achievement awards that can be awarded to you at the end of your first year at the University.
All other scholarships are only awarded before you start your course.
Scholarships are awarded on one or more of the following criteria:
Academic excellence
Financial need
Development potential (for international students)
As different scholarships use different criteria, please check that you meet the appropriate criteria for the scholarship you are applying for. Scholarships usually pay for all or part of the tuition fee, and some limited ones include other costs such as accommodation, flights and living expenses
Source: http://www.westminster.ac.uk/study/prospective-students/fees-and-funding/funding-for-students-starting-from-201213/scholarships