A growing consensus is that performances on standardized intelligence tests can be positively influenced by interventions that focus on improving relational reasoning. One such intervention, known as SMART (Strengthening Mental Abilities with Relational Training), consists of presenting participants with increasingly complex exemplars of relational reasoning tasks involving premises associated along same-as, opposite-of, more-than, and less-than relations. Following multiple training and testing sessions involving these relations, increased fluency in SMART is related to enhanced performances on tests of intellectual ability (Cassidy et al., 2016). The current study expands upon previous investigations on SMART in two ways. First, we explored whether the amount of training undertaken can predict changes in intelligence test performances. Second, we assessed whether SMART training could be effective for a non-English speaking, socioeconomically disadvantaged cohort. Changes in intelligence were assessed via administrations of the standard Raven’s Progressive Matrices before and after SMART training. Our results show that the stage of SMART training completed is positively related to changes in Ravens’ performances and that such training can be effective for non-English cohorts.