There will be two test sittings for the ESAT for 2026 entry: Test sitting 1: 9 and 10 October 2025. Test sitting 2: 6 and 7 January 2026 (non-Cambridge candidates) (from https://www.imperial.ac.uk/study/apply/undergraduate/process/admissions-tests/esat/). For people applying to Cambridge, they MUST take the test in October. So I expect the boom in requests to happen very … Continue reading 10.09.2025 – ESAT 2025
14.04.2025
Got some requests from particularly proactive students sitting the ESAT. Will need to figure out how to work through this while during the PhD. Term starts in September, and the usual ESAT period is in early October according to https://www.undergraduate.study.cam.ac.uk/apply/how/science-engineering-admission-test My own exams will take place close to end of December, so the start of … Continue reading 14.04.2025
06.01.2025 – ESAT season
Seems that I've implemented these changes a little too last minute in response to the recent influx of requests, like the new email address. No matter, there's going to be ESAT next year, and people will be coming to ask questions. In the meantime, I fully intend for this blog to stay active. I will … Continue reading 06.01.2025 – ESAT season
04.01.2025 – ticketing system
Some people have been asking for full papers, which I've had to turn down due to time constraints. Modified the form significantly to allow people to ask 5 questions and request specific clarification on these questions too Added more solutions to the ESAT page Changed to folder system on the Google Drive so I don't … Continue reading 04.01.2025 – ticketing system
03.01.2025 – form and page modification
People are now actually sending in more requests for NSAA, ENGAA 2022/2023 ever since I made modifications. Apparently the ESAT is happening soon and the number of requests have gone up. Some of the requests ask for several questions at once. Unfortunately, I can't entertain requests basically asking me to complete the whole paper; I … Continue reading 03.01.2025 – form and page modification
Euler’s formula
This is by far my favourite mathematical proof. Below are 2 ways of doing it. eulers-formulaDownload
Dot and cross product
I was recently helping a friend with his coursework on vectors when I decided that it would be an interesting challenge to derive what we use as the "dot" and "cross" products and why we bother having these around in the first place. Beyond just lines and planes in space, these have interesting applications in … Continue reading Dot and cross product
Centripetal acceleration
I saw this question posted on a board at my old high school. Apparently, it was a problem asked at an Oxford interview. It read, "Prove that centripetal acceleration is the square of the velocity over the radius of the circle". Try to solve it, and see here for my solution.
Capacitors and inductors
This is a question that crossed my mind when conducting a mock interview for a prospective Engineering candidate. The capacitor and inductor have time-dependent charging and discharging curves that you might have familiarised yourself with in high school. While these curves are intuitive, how do we mathematically derive their equations? How do we relate charge, … Continue reading Capacitors and inductors
31.12.2024 – first recorded update
I always look for ways to improve the blog and ensure that my blog can reach the most number of people possible. From today onwards, these updates are for me (and others) to keep track of the improvements I make. Completed more ENGAA questions for the 2021 paper, as this paper has received the most … Continue reading 31.12.2024 – first recorded update
Fabulous Formulas 