The paper draws from a larger doctoral study, conducted between 2013 and 2016 in five flood-prone schools in western Kenya. The mixed methods research investigated: a) how these schools promote epistemological access (EA) and, b) the challenges they encounter towards a socially-just educational experience and comparable learning outcomes to learners. Findings suggested the importance of developing capabilities in a socially-just environment towards achieving (equitable) epistemological access (E)EA) in deprived school environments. There is no question that EA is about schools ensuring the development of capabilities among all learners. To that end, this paper explores the impact of assessment and learner outcomes as determining proxies to epistemological access (EA) and educational progression. It provides an understanding of how EA is measured and how we gauge the extent of learning in disadvantaged schools. In so doing, the paper seeks to provide a clearer conceptual understanding of how modes of assessment and learner outcomes influence (equitable) epistemological access and the educational progression of learners in different learning contexts. It also suggests a model which may be useful for developing policy around curriculum evaluation in multi-deprived settings. This consideration would contribute to the broad concern of social justice in education across all levels in education.