Would a better approach not be to have a system where all of the stuff they access on-line is included in the submission the examiner gets?
That way you can mark how well they "used" google and check for simply asking the question and/or using google to go to a 'mechanical Turk' site for a solution.
OK, would make marking a bit more tedious, but maybe the knowledge that their search operations are assessed would make for a more focused approach.