In the past several years, many different web tools have developed to help teachers administer tests and quizzes in the classroom. As schools advance further toward 1:1 computing and as schools go BYOD (Bring Your Own Device), administering tests has become easier.
Two of the best I have found for classroom use are discussed here:
Socrative started out as an independent testing tool and was quickly snatched up by MasteryConnect. It provides a free, simple to use interface that allows teachers to create and deploy their own tests. Students can connect to assessments using any web enabled device (class computer, iPad, Chromebook, phone, etc…).
When you create your account, Socrative provides a Room number that students connect to. From there, you can deploy pre-created quizzes/tests, or as a quick question on the fly. Best of all, with Quick Questions, you can also allow students to vote on the best answer to create discussion.