Research shows that executive functions (EF) and fine motor skills (FMS) contribute to early academic skills, possibly in overlapping ways. We examine whether and how EF and FMS interact in the concurrent prediction of maths, reading and spelling skills at the start of kindergarten. Structural Equation Modelling (SEM) on data from 1248 five-year-olds supports a compensatory account of EF and FMS in contributing towards maths and spelling skills. Controlling for socio-economic status, age, time spent in kindergarten and intelligence, the influence of EF on spelling achievement was larger for children with poorer compared to better FMS, and vice versa; FMS significantly predicted maths achievement only in children with high but not low EF, and vice versa. Identifying EF or FMS difficulties at or before the start of kindergarten may be important. Different approaches to intervention involving EF and FMS may be appropriate for maths versus spelling skills. We suggest for early childhood curricula to enhance opportunities for FMS development, especially for children who enter kindergarten with poor FMS. [Translation from English by Mercè Rius.]