The definitions for each are:
Test: A method to determine a student's ability to complete certain tasks or demonstrate mastery of a skill or knowledge of content. Some types would be multiple choice tests, or a weekly spelling test. While it is commonly used interchangeably with assessment, or even evaluation, it can be distinguished by the fact that a test is one form of an assessment.
Assessment: The process of gathering information to monitor progress and make educational decisions if necessary. As noted in my definition of test, an assessment may include a test, but also includes methods such as observations, interviews, behavior monitoring, etc.
Evaluation: Procedures used to determine whether the subject (i.e. student) meets a preset criteria, such as qualifying for special education services. This uses assessment (remember that an assessment may be a test) to make a determination of qualification in accordance with a predetermined criteria.
Measurement, beyond its general definition, refers to the set of procedures and the principles for how to use the procedures in educational tests and assessments. Some of the basic principles of measurement in educational evaluations would be raw scores, percentile ranks, derived scores, standard scores, etc.
Assessing Learners with Special Needs: 6TH ED. By Terry Overton