Where can I find ESAT past papers?

esat.fyi hosts 67 ESAT-relevant past papers with worked solutions, free to start.

Can I use NSAA and ENGAA papers to prepare for the ESAT?

Yes. The ESAT replaced the NSAA and ENGAA, and Cambridge recommends their past papers as the closest available practice. Every one is included here with worked solutions.

ESAT Past Papers

The ESAT only began in 2024, so official papers are scarce. The closest practice, and the set Cambridge itself points you to, is the NSAA and ENGAA papers it replaced: same question style, same difficulty. All 67 are here, free to read, each with worked solutions, alongside the official ESAT papers.