@@sun-do3tgTo be honest, it's just do the past papers, do the past papers, do the past papers. And when you think you're done, do the past papers. A lot of people get caught up on reading notes, but in my experience at least the best way to get ready for an exam is to just sit exams. I'd start with looking over your notes then pick a paper. Answer as much of it as you can without your notes, then when you're done use your notes to fill in the questions you couldn't do. Then do another paper the same way. You'll start catching on to how they ask questions, what type of questions they ask, and how to answer them. Eventually, you'll be able to go through all of the papers without your notes. Importantly, give yourself time and take plenty of breaks. Doing 5 papers in a row isn't going to help you. Do one a day, with a little bit of reading over notes in between. I also would personally sit and read the answer keys to help me. Sometimes inspecting their method will teach you something you didn't know. I always found that reverse engineering the answers helped me a bunch
@@sun-do3tg And if you can, try and avoid too many distractions. Don't get me wrong, I'm ABSOLUTELY not the person to be saying don't play games, look at your phone, etc at all leading up to the exams. Being miserable isn't going to help you study better. But for the 2-3 hours you're revising a day, try and find a quiet space, get rid of anything that you know is going to distract you and just try to focus on the work. Unless you're timing yourself, you should get up every half an hour or so and walk about for 5 minutes. I find that those short breaks from looking at the paper are often the time when you realise how to do a difficult question.
For the very first question you did here my method was to pull 20 outside of the summation (since every term is multiplied by 20, you can factor it out), then the sum is just adding powers of a half, starting with the 4th power. with r = 1 at a bottom this is a standard summation with a value of 1 (can observe very trivially that the limit as r -> infinity = 1), so we can get the value of r = 4 starting by doing 1 - (1/2 + 1/4 + 1/8) = 1/8 (1 being the value of the sum r = 1 to infinity, the bracketed bit being the first 3 terms of the same sum). Finally, 1/8 * 20 = 5/2.
For the second part of the first question I instead saw that the numerator was 50 factorial, but missing 2x1, so was 50!/2, and the denominator was 49!, ‘missing’ x1, so the argument was (50!/2)/(49!/1) = 50!/(2x49!), which is 25. Of course doing the same thing but for me it was easier to think of it that way :)
i dont understand why you used the Rcos(x-theta) formula as i thought it was Rsin(x+theta) also could this come up in the exam without them giving the format?
Haha I wish I had these more simpler questions. Nice questions though! I have buddies who told me that the A-Level Pure Maths exam was difficult but seeing this told me it's not that bad.
@@arithmeticauk The course to me doesn’t really matter. I mean I’ve taken AP Calc BC but I’d be a liar if I said that class was difficult for me. My goal is to possibly get to IMO however I don’t know if I’ll reach it.
Pure maths is obviously going to be easy. Just by the content alone, FP3 Vectors has been the only real trouble (for me). But I would argue that getting a 5 in BC pretty easy compared to an A* in Further Maths. Just the amount of content you have to master over pure maths, stats, mechanics, and decision maths as well as the high grade boundaries gives it an edge. But its all nothing to IMO. Even if you are a peerless genius, prepare to sell your soul to failure.
@@66sec65How old are you? I assume Calc BC is a later high school thing, albeit i could be wrong since i don’t live in America. IMO max age is 18 too correct?
@@jasimkunhi1543 Im not British but I’d say both are pretty easy at least in my opinion. I can at least certainly say getting a 5 in Calc BC is. Also I doubt I’d actually reach IMO, but the training is infinitely more important to me because it helps me learn how to apply maths that isn’t very direct. But hey if I’m one of the six people in America to reach IMO then I’d be very happy!
@@asherang7 yeah sure, but I've made the video based on the hardest that have actually appeared in exams, I've got questions that are much harder than this from textbooks and other sources.
Many other lists agree / also feature some of these questions. Clickbait but also true :) Some people have said in the comments there are harder questions but this is very subjective and no one has emailed me any questions that are actually harder.
Sorry I didn't mean to be rude but ig my wording was rude due to other factors , i just wanted to know what grade students in America do these problems like I am not from America so I am not familiar with the A level etc stuff so I just wanted to know what grade are they from ?!
apart from the last 2 which i can't judge on since i'm not a geometry person and the third which needs a bit of calculus albeit being simple, the first 2 are simple algebra 2 material at least in america
