Many students from disadvantaged homes participating in Programme for International Student Assessment (PISA) 2012 were classified as academic resilient (called "disadvantaged high achiever", the DHA in this study). In comparison with peers of comparable home background status, there were also students from advantaged homes performing far behind standard in mathematical literacy performance (called "advantaged low achiever", the ALA). Drawing data from the PISA 2012, this study sought to examine the similarities and differences in learning mathematics characteristics (ie gender, family and academic background, and resilience in learning variables) amongst students of the top five high-performing Asian economies, ie Shanghai, Singapore, Hong Kong, Taiwan and Korea. The results of the logistic regression analyses showed that variables like family and academic background, as well as resilience in learning mathematics variables (eg "familiarity with mathematical concept," "mathematics self-efficacy," "mathematics self-concept" and "mathematics anxiety") are able to predict whether a student of comparable disadvantaged (or advantaged) home background is more likely to be classified as DHA (or ALA) or not. The findings are important to shed light on the principles and methods of mathematics education so as to help the low achievers, whether advantaged or disadvantaged, to advance to higher level of mathematical literacy attainment.