How I'd Prepare for the PAT and ESAT - Mathematics

Join My Last Minute Pat and ESAT sessions: https://zphysicslessons.net/physics-t... Here are some problem solution on the Mathematics portion of the PAT entrance exam for Oxford and the ESAT for Cambridge, Imperial and Others Please note these are not official solutions and very often you may find more efficient methods or mistakes, I am not affiliated with either university. I hope this video is helpful: 00:00 PAT - derivatives 01:40 PAT - integration 05:36 PAT - sequences 08:53 PAT - exponential equations 11:07 PAT - derivatives 12:05 PAT - trigonometry 13:03 PAT - even and odd functions 16:32 ESAT - scale factors 19:38 ESAT - integration for even functions trick 22:10 ESAT - rearranging 24:55 ESAT - geometry 27:25 ESAT - rationalising roots 29:34 ESAT - discriminants