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Regardless of familial ties, multivariate searchlight representational similarity analyses revealed remarkable adult\u2013child similarity in the neural representations of a signature of arithmetic processing, the problem-size effect, within a broad occipito-parieto-frontal system. Comparing familial to nonfamilial adult\u2013child dyads, family-specific transmission of neural representations was identified in the bilateral anterior insula and left precentral gyrus, key regions of the arithmetic processing network. Mother\u2013child neural similarity in the insula and precentral gyrus interacted with maternal skillto predict mother\u2013child similarity in math and working memory skills, such that neural similarity was more positively related to behavioral similarity in dyads with lower-skilled than higher-skilled mothers. Therefore, increased parent\u2013child neural similarity may particularly predict shared cognitive abilities among dyads where parents experience greater difficulties. Our findings demonstrate that task-related intergenerational neuroimaging can identify brain regions involved in the intergenerational transmission of cognitive skills. 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