No, I'm afraid not. There is really no such thing as an 'old paper'. Selection test papers are used for a number of years in different areas of the country. In your area 'Test 12b' may have been used last year. This test may have been used for several years in other areas and will be used again, but never in the same area.
Some publishers of practice tests do claim they are selling 'previous papers', or that they include questions from previous papers in their practice papers. This is not so. Indeed, if they did this, they would be infringing copyright.