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Preparing for PAT and ESAT

Hi! I'm looking to apply for Engineering at Oxford and Imperial this year.
I've just started looking at the ESAT and PAT content and tried the 2016 ENGAA Section 1 paper under timed conditions. I got just over 50%) on my first attempt, without having properly gone over the syllabus yet. I definitely found timing to be a big challenge and felt like I had to rush through, which makes me a bit worried about how to improve from here. I've heard it's a good idea to develop strategies to spot easier or more guessable questions, but I'm not really sure how to go about that.
Since PAT is now multiple choice too, I was thinking that it might be okay to practise with past questions from both PAT and ENGAA, but is that actually a good idea? Are they similar enough? Has anyone found useful differences or overlaps between them? I'll have to sit both anyways, but I was just wondering.
I've also signed up to the "Preparing for the PAT" course and will start going over the content properly soon, but would really appreciate any advice on:
Managing time pressure in ENGAA/PAT
How to approach guessing strategy
Whether PAT/ENGAA past papers are cross-compatible for prep
Any tips for early preparation if I haven't done Further
Maths
Thanks so much in advance!

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