A type of penetration test that would only provide the tester with limited information such as domain names and IP addresses in the scope is known as a 'Black Box' test. In a Black Box test, the tester has no prior knowledge of the system being tested and relies solely on publicly available information to assess its security. This limited information approach mimics the perspective of an external attacker, making it a valuable assessment method for identifying vulnerabilities from an outsider's viewpoint.