This paper reports a study that investigated how first language (L1) reading comprehension, L1 low-level skills, working memory capacity, and reading anxiety are related to the accuracy of responses and completion time in a second language (L2) reading test. The data obtained from Hungarian secondary school learners of English showed that anxiety related to processing the L2 reading text, time pressure, and the response tasks as well as L1 reading comprehension scores and backward digit span were significant predictors of L2 reading scores. L1 low-level skills did not contribute significantly to L2 reading accuracy. Higher levels of reading-related anxiety were associated with slower reading, and L2 learners with concurrently lower levels of L1 and L2 reading ability needed more time to complete the reading test. These findings highlight that L2 reading tests should be flexibly timed so that everyone, including test takers with literacy-related difficulties such as dyslexia, can demonstrate their abilities.