China's Hardest Mathematics Exam 

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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.

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.

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

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

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

Love the Hozier’s intro music. I’m hozier’s fan too!

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

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.

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.

Nice fantastic video mam love the way of expounding till we understand keep going on mam

Could you upload a video explaining what type of mathematics they use in Le Théorème de Marguerite (movie)

For the co-prime question, two random integers are selected. During the selection, could there have been repeated values?

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.

k in range [1/3,1/(2sqrt(2))) for the first question shown

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.

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.

Why did you neclect the -4 value , if ,a = -4 , the answer still correct

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

I LOVE you, Ellie.

You are brilliant.

i would love to take a look to Morocco's bacalaureate national exam

Fascinating , I’m an artist so I’m not good at math whatsoever. I’m just fascinated by your mind ❤

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

You have to look at the ENS exam, it's the hardest math exam that I know about

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

My whole reaction throughout this video: *huh?*

建议试一下五年之前的浙江卷高考数列和2023年新高考一卷解析几何压轴题（很抱歉，但我不知道这些术语的英文）

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.

Aqui do Brasil assistindo a essa maravilhosa aula😍

Pls make a video on jee advanced maths

i found some questions but its from 2016 question paper

I love the way you love math ❤

You really inspire me , im not that good in maths but i want to become like you plz reply

Try the TST for the china IMO team...

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.

I really have passion for mathematics but I am not understanding anything here

I am understand this questions and this is good question like jee advanced

Mam why x⁰=1

I am from India I am doing preparation of JEE exam I also doing these questions

This is JEE Mains level.

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 way harder than SAT or GSCE.

What about jee advance

This is tough?

So we should die for that

you shoud try with the exam in Vietnam;))

As a Chinese high school student.Math is my biggest enemy

Hello I am jee aspirant i can solve easily

Love from india ❤ i am jee aspirants 😊

It's a GED exam. Come on

China's "Hardest" Mathematics Exam (at the high school level) would be the Olympiads, not the Gaokao.

To be honest, it's not that difficult if compare to the HK exam level

From INDIA❤❤

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).

Iif ramanujan was there he solved this paper in 30 minutes

Love from India ♥️🇮🇱🇮🇳

Our Slovene gymnasium students know that in middle school.

Jee advanced is >>>>>>>>> than this exam 😏😏

i wanna talk to you

you're exaggerating by ten fold. 😂 typically british.

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

👍👌👏

😍

Not gonna lie. But these are JEE -Mains level problems. Easy only.

Gaaoo🐄

GD! You are cute!

Aren't we gonna talk about how beautiful she is?

You are so beautiful😍✨❤ I love you❤🤟🤟

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