If you are looking for specific problem sets and answer keys from the 2012-2013 or 2013-2014 school years, these official repositories host digitised PDFs of past papers:
Matching terms like "Culture," "Economics," and "Politics" with their correct societal functions. If you are looking for specific problem sets
Олимпиада СПбГУ по обществознанию, задания If you are looking for specific problem sets
Identifying social issues portrayed in historical caricatures or modern photographs. If you are looking for specific problem sets