"To score the test" means to evaluate or grade the test by assigning points or a numerical value to each answer to determine the test taker's performance or level of knowledge. Full definition
I have no affiliation with this company other than knowing they develop and score tests for many organizations. (thecollegeinvestor.com)
An online testing feature lets users select items, assemble them into tests, and administer and score the tests online. (aaas.org)
The consortium also conducts professional development to help teachers understand the assessment system and how to score test items. (educationnext.org)