China's Hardest Mathematics Exam
HTML-код
- Опубликовано: 1 июн 2024
- To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/EllieSleightholm 🚀 The first 200 of you will get 20% off Brilliant’s annual premium subscription!
Let's look at one of the world's hardest mathematics exam: the GaoKao examination!
🔗 Social Media 🔗
📸 Instagram: / ellieinstem
🎵 TikTok: / elliesleightholm
🎶Spotify: open.spotify.com/user/1162825...
▶️My Coding RUclips: / codeofthefuture
My CV & Personal Statement (+ other documents):
payhip.com/EllieSleightholm
For those of you that are new here, hi there 🌞 my name is Ellie and I'm a Part III Mathematics Graduate from the University of Cambridge and current Astrodynamics Software Engineer! This channel is where I nerd out about maths, physics, space and coding so if that sounds like something you're interested in, click the subscribe button to follow along ☺️
This video was sponsored by Brilliant 🚀
Subscribers: 59,730 
Развлечения
To try everything Brilliant has to offer for free for a full 30 days, visit brilliant.org/EllieSleightholm 😊You’ll also get 20% off an annual premium subscription!
Thanks for sharing Ellie. I hope you can respond to.my.other comment a out work/lofe.balance.and math and vacation when you can
Thanks very much.
Slight typo! I just realised that SAT's in the US are equivalent to GCSE's in the UK. I should have said 'AP' instead of SAT's.
Elli please help me I am struggling a lot with math and physics
@@user-uu1gl2ox1z Talk to your parents and teachers.
Ellie, Gaokao’s difficulty varies in different regions or provinces in China. There are certain regions where more populated than others thus, the higher difficulty of the exam.
The Chinese exam is required for every student that wants to go to a Chinese university. Doesn’t matter if you are a poetry major or math major or dance major. In many other countries they only require these math/physics exams only if you are trying to enter the sciences field
I like [many other countries]'s arrangement, why waste time if you don't plan to go for eng. and sci. major.
Thats daft by China though, not something remarkable
here in Brazil, the most difficult math exams are those of the "ITA" and the "IME", institutions that graduate military engineers, you should try them
Give link of. Paper
You re my motivater, your heart in mathematics let me like mathematics too. I just wanted to know it and that is it all with frustration and once done, then feel back the happiness and needs of doing more!!! Keep up Ellie
How.cam you.not feel.frustrarion at all though?
Love the Hozier’s intro music. I’m hozier’s fan too!
Nice fantastic video mam love the way of expounding till we understand keep going on mam
thank you very much can you do Iran konkur it might be not hard as these test but students usually run out of time which makes the exam very hard.
ENS ULM D exam, the hardest exam in french preparatory classes, is really underrated, it is one of the hardest exams ever for Bac+2 students. It's a 6 hours exam with a really difficult math questions.
You really should take a look at it.
Here is one of the hardest among them:
- ENS ULM 1993 : Dirichlet's theorem
- ENS ULM 2022 : Rational points of a quadric
- ENS ULM 1966 : (It is legendary)
- ENS ULM 2006 : Study of the group SLn(Z)
And there are more
This is right !
You are brilliant.
I LOVE you, Ellie.
Thanks for the video! It's a bit unfortunate that you couldn't find any actual translated papers. The way to do it would have probably been to just use google translate to get the Chinese characters for 'gaokao' and 'math exam paper' and then paste it back into google and then use google translates OCR translate function to translate the questions back into English. The Chinese math exams are actually much less calculus/real analysis heavy and have typically a lot more geometry, trigonometry and number theory and those types of things in them, also containing proofs.
Overall, the issue that large countries like China and India have is just that there are too many students. All of them are competing for far fewer decent higher education spots. University education is often seen as the only legitimate way out of poverty, the state doesn't offer a lot of other paths after high school. This produces an insane amount of pressure and exams that are rather difficult just to weed out this mass of people. Some Chinese parents that are wealthy enough send their kids abroad to complete high school and go to university just to avoid this insane pressure and competition with other Chinese because high school education in the West is often seen as much less competitive, stressful and more fun.
More or less correct. When my child did his study at the technical university in Twente , the Netherlands ) there were also a lot of Chinese students there.
It seems lucrativ for those to go to the netherlands, do an exam in Dutch for foreign students, and after that a technical study (or mathematics which is also given there).
God I wish I had gone into applied maths instead of pure maths. I don't remember anything of calculus anymore, and my algebra skills must've dropped down to a mediocre high school student by now... had I done applied maths I'd likely have gotten so many useful and relevant skills.
For the co-prime question, two random integers are selected. During the selection, could there have been repeated values?
if repeated then the co-prime idea cannot be established
At first I thought that the Taylor series for pre-univercity exam is a bit to much. On the other hand the solution looks nice. There is an argument needed that you can stop looking after just a couple of first elements of the series. The easier way might be to show that for each n: elements at the n-th position satisfy the same inequality. If it is smaller for each n then the sum is smaller.
I'm uneasy about your solution using combinations in the last question. It works here because every combination of two different numbers is equally likely. Suppose you change the initial question to be 'What is the probability of the numbers being coprime or equal?' Now the combination of 2 and 3 is twice as likely as 2 and 2 so just counting up the combos won't work. I'm not saying you'd make that mistake - just that the method might mislead people.
Is it not just 1/7+2/3 ? If you have (a,b) fix a as a constant then the probability that b = a is 1/7 and then we know that the probability of b being coprime is 2/3.
@@domc3743 Sure but if you started by listing all the possible combinations you could come unstuck because they're not all equally likely in this case.
Fascinating , I’m an artist so I’m not good at math whatsoever. I’m just fascinated by your mind ❤
Could you upload a video explaining what type of mathematics they use in Le Théorème de Marguerite (movie)
Why did you neclect the -4 value , if ,a = -4 , the answer still correct
k in range [1/3,1/(2sqrt(2))) for the first question shown
i would love to take a look to Morocco's bacalaureate national exam
hhhhh
Thanks for this interesting content ,
I Think there is no need for Taylor series, especially if Taylor series is not in the High school math programme ...
For example, to compare A and B, Exp(0.1) is bigger than 1, thus a > b , given that 1/9 equivalent to 0.1
What i like about GaoKao is that it can efficiently filter out the student it actually wants..unlike our Jee Mains which is aimed for selecting analytics but end up getting memorisation... I think Jee advanced and Mains should be conducted separately... You can see from my own experience ( jee main - 94 percentile, adv rank- 1621 general)
the last questino we can do like this 1 - (4C2+2C2)/7C2
Aqui do Brasil assistindo a essa maravilhosa aula😍
I love the way you love math ❤
You have to look at the ENS exam, it's the hardest math exam that I know about
French exams are the hardest in the world, ENS, Polytechnique, CAPES, Mine Ponts, Centrale,
Jee advance 😂@@nadonadia2521
Which level exam is that?
Also entrrance for an university?
@@reiniernn9071yes but a very special one
Our Slovene gymnasium students know that in middle school.
My whole reaction throughout this video: *huh?*
Pls make a video on jee advanced maths
TBH I FIND THESE questions easy to solve at first glance, still I am wandering how were I unable to get good rank on jee mains
Try the TST for the china IMO team...
You really inspire me , im not that good in maths but i want to become like you plz reply
Mam why x⁰=1
I really have passion for mathematics but I am not understanding anything here
What level are you?
Per what she is saying this is probably a pre undergraduate student level exam. Honestly I would never have understood if I had been at that level. I only understand what she’s saying because I majored in Atmospheric Physics and currently a masters student.
I think some of us needs a lot of time to understand mathematics and all I can tell you is that if you really have the passion carry on don’t be bothered about not understanding everything will come right back at the right time on your journey. Trust me.
@@stephenasare5787 it's the national college entrace exam, so yeah. Its basically high school senior level.
Passion is a good starting point but it needs to be supported by study.
@stephenasare5787 what if you het impatient and bored easily.and don't like to feel like less of a genius than Ramanujan or anyone else..then how.can you study eith less time and effort and maybe still.make great contributions?
@@leif1075
Then I think your first mistake is not accepting that other people are brilliant
in a specific way than you. You know your second mistake, which means it’s not about how fast you go, it’s about the quality of your pace.
We all have our strength and uniquenesses, Ramanujan discovered his strength in self study and he utilized it. Find yours and that will be the secrete to your pace and direction. Maybe yours is visual learning or siting and listening to others, discover it and utilize it. How fast you go doesn’t really matter, it’s the direction that matters.
If you get bored leave it, do something else and come back later.
Not sure if you're counting olympiads but supposedly the China Math Olympiad is more difficult than the IMO. There are dozens of students every year in china that can get a gold medal at the IMO, but only 3 slots to represent the country. Thus, the team selection test ends up being more difficult than the actual international competition itself.
Not counting Olympiad’s in this series :) making a separate series on those! 🚀
i found some questions but its from 2016 question paper
I am understand this questions and this is good question like jee advanced
What about jee advance
I loved your presentation and will share it with my students. By the way, I have some historic exams from Canada that I think are quite challenging. Please reach out to me if you want PDF copies.
This is tough?
Nice video👍🏽 i would say, problems are okayish and solvable... Like JEE mains but no where closer to JEE advanced
Gaokao is much tougher than JEE advanced
This is JEE Mains level.
I agree👍🏽 problems in JEE advanced are way beyond
I am from India
I am doing preparation of JEE exam
I also doing these questions
Love from india ❤ i am jee aspirants 😊
you shoud try with the exam in Vietnam;))
This is way harder than SAT or GSCE.
Why do.younsay that
.and how can insolve easily.and feel like a math genius if so without getting bored and frustrated then?
So we should die for that
It's a GED exam.
Come on
Hello I am jee aspirant i can solve easily
From INDIA❤❤
I cleared JEE ADVANCED exam in 2023, all india rank-13
@@user-rl8km8ky8v what is your name
@@user-rl8km8ky8v no one cares
As a Chinese high school student.Math is my biggest enemy
Love from India ♥️🇮🇱🇮🇳
Jee advanced is >>>>>>>>> than this exam 😏😏
bruh stop overhyping jee
Iif ramanujan was there he solved this paper in 30 minutes
you're exaggerating by ten fold. 😂 typically british.
i wanna talk to you
China's "Hardest" Mathematics Exam (at the high school level) would be the Olympiads, not the Gaokao.
I’d say that the Olympiads are more of a competition than an exam though…
That would be the international mathematic olympiad (once attended by my brother). Because that one is also available for chinese
@@reiniernn9071 No. China's internal olympiad exams are apparently more difficult than the international olympiads.
To be honest, it's not that difficult if compare to the HK exam level
The goal is not to put hardest exam on the table, the goal is to divide students into different levels.
😍
👍👌👏
Anyone please help me, I'm 17 something went wrong with my life from corona time, like before corona when I was in 7th standard i decided i will be a mathematician at 13 i finished trigonometry nd started some calculus (calculus 1), nd also interest in physics at that age i worked hard but four year back in corona everything went wrong i became depressed alone, like i have no friends to talk, i lost interest in everything in mathematics, physics, Astronomy and all but now I becoming better but from 4 yrs I have not done much study so like I'm forgetting everything, the passion for mathematics was like gone. But now it's coming nd i really wanna deeply dive in physics nd mathematics but it seems I'm too late. Anyone wanna friend. Need support. I had brain surgery (3 months hack) nd heart surgery(a week back).
Bruh! Calm Down!!!
What is your academic status btw?
@@seventysevensquare 12th
If what you mentioned is true then it is indeed sad to hear about your health. But Honestly NO ONE cares about your entirely out of context life story here. And I can assure you that if you are expecting Ellie to have pity on you and be your friend, after reading your long comment/story then that is highly unlikely . So go and have some life and do Math, rather than hope people to ruminate over your situation. Make friends by doing some Real Math, not by hoping people to have pity on your situation and be friends with you and motivate you to do Math or Physics.
Gaaoo🐄
No need for all those Taylor Series.
e^.1 < 1 so .1e^.1 < .1
.1 < 1/9 < 1
And -ln(.9) = ln (10) - ln(9), and I'm realizing I fudged this wrong in my head, so I might need a little more work, but I'm sure the Taylor expansions can be avoided
I agree with you, there must be some kinds of quick-find method.
@ DavidCaveperson -- No, right in your first line, you are wrong, because e^(0.1) > 1, as all bases greater than 1 raised to positive rational exponents greater than 0 are equal to numbers greater than 1.
@@robertveith6383 Super fudged then, I accept my embarrassment
@@robertveith6383 My logic was e^0 = 1 so e^(0,1) < 1, lmae
Not gonna lie. But these are JEE -Mains level problems. Easy only.
Yooo bro
First one is easily advanced level. But for other two I agree.
Last 2 qu. Similar ask in bits examination but the 1st once is jee avd level😅
Yes
@@Anonymous-ld6gtthe thing is taylor seriesis not in syllabus for the Chinese students but most of them would learn it for the sick of exam testing them out of syllabus 😂
GD! You are cute!
That is an inappropriate comment. The post is reported.
You are so beautiful😍✨❤
I love you❤🤟🤟
*Don't* make that type of post! It is inappropriate. Your post is reported.
Aren't we gonna talk about how beautiful she is?
no
Your post is inappropriate, and your post is reported.
@@robertveith6383 sorry bro 🤜
Maths is not for you to understand, & memorising, but, to stress your mind into the dimension of numbers , to gradually evolved your brain as a Mathematical mind....😅
Indias math is ranked 27th in the world math olympiad even WORSE than Australia, but TALK like some genius.
ALL talking NO action culture. BS. Lol