Chinese College Entrance Exam Math question. How many of you will be qualified to get into a Chinese university?

>>105797821 (OP)
I didn't spend 3 years mindlessly prepping for muh entrance exam so I would be somewhat disadvantaged.

>>105797821 (OP)
lol.
>riot
lmao even
https://qz.com/96793/chinese-students-and-their-parents-fight-for-the-right-to-cheat

>>105797837
>3 years mindlessly prepping
15 years

>>105797863
Why do first grade students have to pass an admissions test? Also 89.

>>105797851
>At least one teacher was punched in the face (paywall).

>>105797945
>Why do first grade students have to pass an admissions test?
Because this is bait and you fell for it

>>105797863
>>105797945
87, attempts to test ones ability to understand perspective.

>>105797821 (OP)
All of this will be done AI within 2 years. Intelligence will soon become cheap.

Why is the Chinese exam question not in Chinese?

>>105797984
chink site

>>105797945
>>105797988
Overthought this to fuck all limit. I've looked at the first digits 1 and 0, difference is 1, 6 and 8, difference is 2, so the last one must differ by 3.
Second digits look like they are in pairs, so it would end with 8. 68 is already occupied, so instead of subtracting 3 from 9 I add it, coming to 18.

>>105797821 (OP)
Unpopular opinion: hard college tests is really not a good flex

>>105797821 (OP)
poor kids :(

>>105797999
it doubles as their engrish class too.
Chinese efficiency™

>>105797821 (OP)
After reading some Chinese High School Math textbooks and looking at Gaokao practice exam questions, I don't think this question is representative of normal exam questions, but I can see why they might add something like it. But I don't know if I believe this really came from an entrance exam.

>>105797821 (OP)
Every test has some hard questions. I doubt all the questions in the exam were this hard.

and yet they've achieved nothing in business or art in the last century

>>105797821 (OP)
>cherrypicks one question
>projects non-gooks don't use difficult questions
>GOOKS NUMBA WANNNNN despite millions of gooks fleeing to white countries and gook countries paying whites to impregnate gooks

gook propaganda

>>105797945
It's 87 though.

>>105797821 (OP)
and how is this different from: "name main characters from yuru yuri"?
this is just memorization test.

and then the smartest chinese ultimately just move to america or europe and get jobs there

are you expected to invent math theory to solve problem during exam? no? you just required to remember step needed to solve it, that you must learn prior.

>>105798601
What textbook contains the step prior?

>>105797821 (OP)
1) (1,2), (1,6) and (5,6)
2) In the case of m = 3 you can split it into (1,4,7,10), (3,6,9,12) and (5,8,11,14). For m > 3 you can take those and split the rest into blocks in the order they come. ((15,16,17,18), (19,20,21,22) and so on)
3) can't be assed to fully solve this but the general idea is to find patterns (such as i being of the form 4k+1 and j being of the form i+4k+1) where the splittability is guaranteed and add their probabilities together.

Americans are all fent addicted retards who come out of high school not knowing how to read or write

>>105797821 (OP)
I don't know any mathematics beyond basic mental calculations. My computers do it for me.

>>105798654
Not at my school. At my school you perform excellence or you got your ass handed to you.
So I'll admit I sympathize with chinese students.

>>105797828
(1) as there are only 6 terms, and the sequence is (i, j)-separable and the group requires 4 terms (note that m = 1, so we have only one group, and the group must be an arithmetic sequence) the only possible groups are: [1, 2, 3, 4] and [3, 4, 5, 6]
answer: (1, 2), (5, 6)

(2) by exhaustion: if m >= 3, then 4m+2 >= 14. the sequence is (2,13)-separable, therefore the sequence has (at least) the integers {1..14}\{2,13} (so at minimum 12 integers). As we need each group to be an arithmetic sequence, we can divide them into the following 3 (m) groups of 4:
[1,4,7,10],[3,6,9,12],[5,8,11,14]. This suffices, as for all other integers r > 4m+2 in the sequence we can group them as [r, r+1, r+2, r+3] since there will always be groups of 4 integers following 14 if m > 4 as the sequence length is 4m+2.

(3) [unfinished, because I have to get back to work, but I think it can be proven by induction] for m = 1, P1 = [1, 2, 3, 4, 5, 6] this sequence is only (i,j) separable if it i=1, j=2 or i=5, j=6 - see (1). The probability of picking (1,2),(2,1),(5,6),(6,5) { which are (i,j)-separable sequences } is (2*P(2,2))/(6*5) = 4/30, which is (already) greater than 1/8.

for any m, P(m) should (intuitively) be greater P(m-1) That is, the probability only grows as the size of the sequence increases. Combined with P1 that would prove that the probability can never be <= 1/8. But I'll have to think on how to explicitly demonstrate this.

>>105797821 (OP)
1. (1,2) and (5,6),
2. For all m>=3, a1, a4, a7, a10 form an AP. a3, a6, a9, a12 do as well, same for a5, a8, a11 and a14, which cover the [1,14] range of a m>=3 series exhaustively. The rest can trivially be sorted into groups of 4.
3. Will do later

t. Pajeet btw.

>>105798741 (You)
>>105798735

>>105798638
>(1,6)
I guess we missed that.

>>105797863
ㄥ8

>>105797988
wrong. answer is T8

I don't like how this type of system is being imported into the US. Instead of 15 years of paying for tutors to learn how to cheat on the entrance exam we're getting 15 years of paying SAT tutors, autism diagnosers and sports club membership fees.

>>105798741
For 3:

For every m, there are (2m+1)*(4m+1) possible (i,j) pairs.

Of these, 3 ((1,2), (1,4m+2), (4m+1,4m+2)) always result in a separable sequence.

Generally, every pair that follows (4x+1, 4x+1+4y+1) for all values of x and y that result in a valid pair (trivially, x and y must be whole numbers, and both should sum up to <=m), satisfy the constraint easily (there's more but they are trickier to find), this contains the aforementioned three pairs.

Now, there's exactly (m)(m+1)/2 pairs of whole number satisfying the i>j constraint that sum upto atmost m. The limit with this value over the whole is 1/16.

This is for sorting the whole into clusters of 4 with d=1. We can find patterns that convert the problem into being solvable for clusters of d=k for any m>=k that fits.

So for example, for d=2 and m=2, you can do (2,9), which would still divide that into clusters of 4 as [1,3,5,7] and [4,6,8,10]. As far as I can see, there are m-(k-1) groups you can apply this pattern in for every k>1 and one pattern for each group, thus there's (m)(m-1)/2 extra solutions for that too.

This should put the limit of P(m) for m moving towards infinity to atleast 1/8, although I have yet to prove it will do so from above.

Will do that later.

Semi QED

t. Pajeet

basic stats question.
why do white people fall for chinese propaganda so hard? half their country lives starving in a ditch and cooks dogs alive, yet they continue to fall for this bait. Incredible.

Who is this thread for chang?
>Number of westerners that want to move to china: 0
>Number of westerners who are jealous of any chinese person on earth: 0
>Number of westerners that want any chinese in their country: 0
Literally no one cares.

>>105797821 (OP)
>>105797828
very easy math question

>>105797821 (OP)
They have to answer this question to get their food rations.

>>105797863
Though the answer is supposed to be ``87'', the number ``8'' in the image is upside down in an effort to deceive. Disgusting.

>>105797898
3 years mindfully prepping?

>>105797863
>Retards aren't admitted into public schools starting in first grade
So this is the secret to the chink "110 average IQ" claims? What if we did this in the US? Just close down all the schools in Chicago, Detroit, LA, all of the South, etc?

>>105797863
Uuuuuhhhhhhh how we supposed to know, the car covers everything!

>>105800182
I believe we're on the road to that.

>>105797821 (OP)
1. We are looking for any two terms which can be removed while leaving 4 contiguous elements. The only options are (1, 2), (5, 6) and (1, 6).

2. For m = 3 we form the following 3 groups:
1 4 7 10
3 6 9 12
5 8 11 14
For any m > 3, the remaining m - 3 groups come from taking groups of 4 consecutive elements above 14. For example, for m = 4 the 4th group would be 15 16 17 18.

3. Too hard for me. But here are some things I worked out:
>the number of possible combinations of (i, j) for some m = n is n * (n - 1) / 2
>for the case m = 1, we know Pm = 3/15 = 1/5 > 1/8
>also we know using a similar argument to part 2 that if (i, j) is separable for m = n, then it is (i, j) separable for m > n
>so the number of (i, j) separable sequences increases as m increases, but it remains to prove that it is always greater than 1/8.

>>105797821 (OP)
Calculators and bug person slaves do math. We do higher order thinking and assign the low level jobs to tools whether it's human or machine.

>>105797863
87

>>105797945
>89
>Why do first grade students have to pass an admissions test?
So they don't end up like you, retard

>>105797851
>Telegraph
kek westoid lamestream ahh sauce

>>105800570
>possess higher order thinking
>couldn't use said trait to win the trade war

>>105798102
how come? too few people succeed at them.

>>105801284
Trade war is over. China lost. Massive debt, collapsing job market, lower wages, manufacturing moving to other more stable markets in India, Vietnam, Taiwan. China was a useful slave market for a short time. Now we're moving to other more useful slave markets.

>>105797863
Obviously it's a tow-away zone cus no one else is parked there hence we can't know the parking lot number for certain. The care is parked there only because Tesla owner didn't buy the annual $5.4k no-park-zone-api add-on and has no idea they shouldn't (let their car) park their cus they are too busy playing with their monthly $20 Hinge subscription and drinking their $50 juice subscription service juice.

>>105797863
Easy, the fucking chink has parked in the disabled spot and is gonna get their car towed.

>>105797863
I'll tell you in 21 seconds.

>>105798934
Hello Saar

they keep making their tests more difficult to prove how elite they are, and then more chinese people just cheat

back in the USSR this is what they used for technical university entry assessment

>>105797821 (OP)
Let's not skip the pictures

>>105797821 (OP)
use case?

>>105800155
It's not upside down. The numbers are oriented as they should be.

>>105802151
>Cannot be solved
Devious

>>105802552
>They should be upside down in order to deceive.
I bet you are a communist.

>>105797821 (OP)
I skipped the last year of math in high school since I went to a Vo-Tech sponsored by my school. I'll just outright say I couldn't answer this question, likely because of that.

>>105802702
oof, you just forfeited yourself out of a normal life
you now work in chinese steel mill until you die from freak accident, goodbye

>>105800570
Is higher order thinking in the region of high school students prompting homework? Haha

>>105798558
fucking amateurs

https://www.youtube.com/watch?v=C16oZPkeg-U

>>105797945
87
it's upside down from your perspective

>>105797863
I hate how you americans refuse to keep 1 and I seperate like civilized humans do. With a serif there would be no confusion at all.

>>105802724
Nah I went there for IT, I can still live a fine enough life as one person on $20 an hour, I live in the south so it's not like things are super expensive here anyway. Only real cost concern is gonna be the estrogen though.

>>105797821 (OP)
Weren't there mass protests because they prevented them from cheating?

>>105802790
Yeah there is only one officially mandated by the regime all american text uses, none of them have serifs, you desperate, retarded mockery of a human being.

>>105797821 (OP)
αχχχχ πανελλήνιες
I would translate this shit for you guys but it's 1 AM and I am not interested
+ Automated AI tools seem to suck at formatting.
So i'll just leave this shit here and whoever cares enough to translate it can do the exercises.
This is from 2018 when I graduated high school

>>105802842
5 seconds with Google Translate.

>>105802842
>>105802857
Why would you bother posting this? This is just basic school mathematics that any student can solve through rote memorisation. At least OP's challenge requires a bit of creativity and skill.

>>105802871
Why do you want to know?

>>105801499
Keep believing that in the very same way MIGA believes Trump T1 phone is made in America.
Also, enjoy relaxed rare earth exports which DO NOT include your warfreak MICS lmao.

>>105802857
how the fuck does google translate suck for everything besides image translations.

>>105802871
Never claimed it was hard, and yes this is basic highschool stuff.
I never went to a mathematics uni, especially not one with an entrance exam.
This is just me being nostalgic a bit of the time my mathematics tests did not involve crunching matrices inside of matrices to find out how a robot rotates and moves.

>>105797821 (OP)
Do what chinks do and cheat

>>105802915
not that the matrices stuff is hard either but it takes too much time to solve for a human

>>105802915
>how the fuck does google translate suck for everything besides image translations.
I find it works very well no matter how I use it, but English is my primary language and much of the software is designed to translate all languages into it.

I'll write the answer for the last question: it utilizes the result fror the previous one .

i can be written as 4 K + M, where M is 1, 2, 3 or 4.

If M = 1, we can just split the sequence preceding i in groups of 4 consecutive numbers, i will fall at the edge of one of those groups and we just need to hope that j = i + 1 + 4·N , which will happen 25% of the time
If M = 2, we repeat the structure of the previous question, and find that not only j = 13, but also j = 9 allows for a separation (with the sequences 1,3,5,7 ; 2,4,6,8 ; then start normally with consecutive groups from 10 onwards), and similarly j = 17, 21 etc so again 25% chance that j satisfies the condition.

So we have a 50% chance that M = 1 or 2, and in both those cases a 25 % chance that the condition is satisfied, so the probability is 50% · 25% + whatever the prbability is for cases M=3 and M=4.

>>105802981
I mean this is the solution for the last question of OP

>>105797821 (OP)
>>105797828
>1 gorillion people trying to get into university
>entrance exam is no multiple choice
>it makes you prove something so it also doesn't have a final answer to quickly check if it is correct
Things that never happened.

>>105802790
> Hong Kong elementary school
> uhh durrr durr Americans
Typical third world illiterate faggot

>>105797863
How do you solve something like this? What am I looking for?

>>105803379

>This is just basic school mathematics that any student can solve through rote memorisation.

>>105802981
Interesting solution, it doesn't feel completely rigorous but you're probably on the right path.

>>105803379
Look upside down.

>>105797821 (OP)

This is the last question , which most chinks never answer correctly. "Carl Zha" trying to suck his chink dick nothing else.
The other questions on the paper are much easier actually.

>>105803428
>Look upside down.
Are you for real?
How is a kid supposed to know this if he's literally applying for elementary school, and in 20 seconds to top it off?
But I guess they're trying to catch on children's imagination rather than actual mathematical skills...

>>105797821 (OP)
how about some white people college questions from the old days? prepare to feel fucking stupid.

>>105797851
>You can only pass the exam by cheating
>Somehow it's wrong for people to want to cheat to pass the exam
Am I missing something here or are all the people involved in this process fucking stupid as hell?
But hey, at least the ccp can boast about how utterly intelligent people are on their empty universities...

>>105803735
heres an arithmetic equivalent, this was from like 1910 or 1890 some shit.

>>105803754
i'd like to see a purple haired hippie girl answer any of these

>>105802684
Objectively speaking, the 1 shouldn't be written like an stick, it's clearly made to deceive people into thinking the numbers are properly oriented, despite being upside down.

>>105803761

>>105803810
>>105803761
>>105803754
>>105803735


These seem difficult if you are a white working class fag. The truth is, everybody who went to these colleges, would have private tutors that knew exactly what to teach to the test. It's actually very similar to these overbuffed tests from China and India nowadays where people just study to the test.

>>105797821 (OP)
they do everything by rote memorization. In class they prepare with questions exactly like those found in the example.

>>105797821 (OP)
The following, on the other hand, is what a Frenchman has to be able to solve to perfection if he (yeah it's a he) wants to get into an Engineering college:

https://www.polytechnique.edu/admission-cycle-ingenieur/sites/admission/files/content/Maths%20A%20MP-MPI%20sujet.pdf

Europe still superior, OP.

Intellectualism is cancer

>>105802684
i am so dumb, holly shit.

>>105803952

Again very dishonest, usually students write this test after 2 years of preparation classes. Which is again "teaching to the test".
Essentailyl, people waste years of their life that they could get accrredited for an actual degree.
Except medical school entrance exams (which are IQ tests) I don't think any exams exist in mathematics , which are actual IQ filters.

>>105804002
If you think learning the rudiments of mathematics is wasting one's life, you are a massive philistine.

>>105797821 (OP)
Wrong boars, this belongs on /sci/

>>105804002
>medicine is an intelligence field
You fucking wot mate? The only reason medicine even exists is gatekeeping.

>>105797828
Some things for 3
There are (4m+1)(4m+2)/2 I,j pairs
For m>=3, If the sequence is 2,13 separable then it is also 4x+2,4y+13 separable for 0<=x,y<=m-3. I think it should also be 4s+13,4t+2 separable for s<t and 0<=s<=m-4, 1<=t<=m-3 but I need to work it out a bit.
From the last two points we have (m-2)(m-1)/2 pairs and (m-3)(m-2)/2 pairs. There are also 3 solutions that don't fit this pattern (1,2), (1,4m+2), (4m+1, 4m+2). Roughly that means ~m^2 pairs that are separable. The total number of pairs is, again roughly, ~16m^2/2 = 8m^2. Which gives us our 1/8 figure. A bit finer treatment and I think I'd get the proper solution. There is probably some neat combinatorics solution to this but I can't think of it.

man how do people learn this math shit?
mostly just high iq right?
name one person with an iq of 105 who learned calculus.

>>105804319
>name one person with an iq of 105 who learned calculus.
Me.

>>105804319

It's 100% practise mate. Math being high IQ is mostly a myth. It just seems like that because most people are never interested in it , so never practise it, then just fail at it.

>>105804086
>>105804036
spending 2 years in a prep cours isn't exactly the defintion of a difficult test lol it's just pure stupidity that this exists in the first place

>>105804319
Yes, mathematics truly is the great IQ filter. In order to understand the abstract thinking necessary for basic university level mathematics, you need an IQ of at least 115. I truly believe that at least 75% of the population is biologically incapable of understanding the delta-epsilon definition of continuity. Moreover to understand some PhD level topics you need an IQ of 130 or higher.

>>105804415
>75% of the population is biologically incapable of understanding the delta-epsilon definition of continuity
but chatgpt makes it seem simple
>The delta-epsilon definition of continuity says:
>A function is continuous at a point if, when you pick any tiny distance (ε) you're allowed to be off in the output, there’s always some tiny distance (δ) you can go in the input, so that the output stays within your allowed error.
>In other words: if you nudge the input a little, the output only nudges a little too. No jumps, no surprises.

>>105804426

lol the guy you are replying to has no clue what he's talking about
and E-Delta proofs are first year kiddie tier stuff
I'm assuming there are many high schools that teach it nowadays

>>105797821 (OP)
>>105797828
>>105797863
How the fuck do ANY of these retarded questions help you in the real world though?

>>105804453
I literally called it basic university level mathematics, you fucking idiot. Learn some reading comprehension. I guarantee you I have a better education in mathematics than you do.

>>105804458
It's a test to weed out people because there are too many applicants to the university system. And the last question specifically on the Gaokao (chinese exam where this is from) is usually a insane difficulty question , so does not represent the normal questions. Most students will either skip this question or not get it right. Just chink self-fellating as usual. Look up some normal GaoKao questions, they are actually not that difficult.

>implying knowing math will help you in a Chinese university when you don't even speak Chinese

>>105804466
> hurr durr i know more math than you
What a mongoloid. The fact is i can learn more math than you faster because my IQ is higher. I simply choose not to. You are a (french) grindlet.

>>105797863
5th spot.

>>105804492
>too stupid to read and comprehend a short one-line post
>claims to have a high IQ
Press X to doubt. I have a master's degree in mathematics from a top 50 world university, who are you to tell me I don't know what I'm talking about? Fucking animal.

>>105804503

> french chimp out throwing around meaningless credentials
> "top 50" kek
You are most likely the guy who claimed french ENS is some high tier god system when in reality its pure stupidity.
Imagine wasting 2 years of your life preparing for an exam... so you can study for the actual exams. el em en o

>>105804511
Nice reddit spacing, bitch. You were probably too stupid to even go to university.

>>105804519

> french can't leave the discussion and hast to have the last word
lmao also who brags about a masters degree in 2025??? all the cool kids have PHDs

>>105804530
Enjoy working at McDonald's for the rest of your life, you reddit spacing faggot.

>>105802981
Anon, that 25% probability statement is wrong.

For example (1,6) does provide a clean separable divide but (2,7) doesn't.

The correct answer is in >>105798920
although it misses adding one term of the ap so it's actually (m+1)(m+2)/2 for the first case.

Adding that with the other term mentioned inn there and calculating the limit at infinity gives 1/8 and you can prove the trend is monotonic and starts higher than 1/8 easily.

Your arguments make sense on surface but fall apart when inspected. And it doesn't cover the general pattern recognized there for all k>=2, only specific cases for k=2 and k=3. And the 25% figure there is also incorrect. Like, compute all the possible (i,j) pairs in a range of 14 consecutive numbers and find that there are only 3 such solutions over the whole. I don't even know how you reached the figure.

>>105802989
>>105803428

>>105804496
2nd, you mean?

>>105804458
they don't, communist countries obsess over rote memorization because it instills discipline

>>105797863
87