Oxford University Mathematician vs High School Further Maths Exam

Oxford Mathematician Dr Tom Crawford completes a high school A-level Further Maths exam as quickly as possible... The paper taken is the Edexcel Pearson AS Core Pure Maths Paper from 2018.
You can download the test for yourself here: tomrocksmaths.files.wordpress...
And the mark scheme is here: tomrocksmaths.files.wordpress...
Watch Tom complete an A-level Maths Exam here: • Oxford University Math...
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: www.seh.ox.ac.uk/people/tom-c...
For more maths content check out Tom's website tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths / tomrocksmaths
/ tomrocksmaths
/ tomrocksmaths
Get your Tom Rocks Maths merchandise here:
beautifulequations.net/collec...
Music: Corncob Kevin MacLeod (incompetech.com)
Licensed under Creative Commons:
By Attribution 3.0 License creativecommons.org/licenses/b...

[@TomRocksMaths]

If you haven't seen it already, be sure to watch the first video in the series where I attempt a Maths A-level exam here: kzbin.info/www/bejne/q6bTm6uwqddlp5o

[@jerieshattar7682]

Do IAL maths P4 even though I am sure you would crush it.

[@necaton]

do an elementary school math test (as a speedrun)

[@antormosabbir4750]

IIT MATHS exam in their limited time 😁

[@necaton]

@@tudor__ now 69 likes

[@lesserspottedmugwump.363]

Get a haircut. I wish I could. Going bald. Aaaaggh. It was nice whilst it lasted.

[@craftingwithcarter2261]

Technically he completely failed as he was talking the whole way through and brought a camera into the exam.

[@TomRocksMaths]

spitting facts

[@sarhan_]

@@TomRocksMaths lol indeed

[@aiman96yearsago10]

😂😂🤣

[@charles_wren_films]

😂🤣

[@nafiskhan8801]

What a sarcasm 👍

[@CrittingOut]

Imagine having a phd in mathematics and having this much drip

[@joaomoreira5996]

HAHAHAHA SO TRUE. THIS GUY IS SOO COOL

[@prabhdensingh8740]

And not having hair loss too

[@yournan7249]

Just imagine being this good at maths, I left a levels maths when i started working and have forgotten it all

[@safin3389]

his drip balances his dead trim

[@Adomas_B]

This style should go like ice cream with tuna but instead of tuna it's somehow hot caramel

[@thetntsheep4075]

Is it just me or does the number 69 appear in maths tests a little too often to be random...

[@geddes4253]

Please nobody else like while it is at 169 likes...!

[@witkofhf]

@@geddes4253 oh shoot! It's 206 now, let's aim at 269...

[@Ishlino]

@@witkofhf 268

[@prabhdensingh8740]

322 now...

[@geddes4253]

I give up...! :-)

[@jamesevans2507]

"There's gotta be a better way to do this, but I've gone down this rabbit hole." RELATABLE

[@nijntje3601]

Basically me during a math test

[@nijntje3601]

me during my life*

[@TomRocksMaths]

lol

[@iwatchsigmamaleeditsfr420]

@@TomRocksMaths as someone sittign their Further maths core pure 1 mock tomorrow, this fulls me with hope that failing is ok

[@squid3751]

As a gcse maths student, I’ve got no idea what the hell is going on.

[@evanpoole7829]

Same lol

[@asuos_1912]

The step up the a-level is massive but if your good at gcse and work hard you'll be fine

[@hanaparsons1680]

I’m an a level further maths student and I am still confused

[@h.x4762]

Lol sameee I’m trash at maths😬😑

[@rajvirmanku1216]

i got an a* for maths and a for further maths and i remember almost little to none of this lmaoo

[@putinsgaytwin4272]

Imagine how fun it would be to have him as your professor

[@TheVeganFreediver]

inb4 he's the toughest of them all. never judge a book by its cover :D nah j/k i'm sure he's the coolest

[@EdgeOfLight]

that profile lmaoo

[@berryzhang7263]

ikr he would be so fun to be around

[@mr.ditkovich6379]

@@TheVeganFreediver You wouldn't expect an Oxford professor to be easy

[@MegaMagicbeans]

Its utterly frustrating and totally unfair how genetic quirks allow people to grasp maths easily. Not saying hard work is not involved as well of course it but you people are already 3/4 of the way up the ladder before us mere thick people have just got off the bottom step. Still most of these folk cant wire a plug without killing themselves so its horses for courses :)

[@oxygenwarlord9277]

As a human I have no idea what’s going on.

[@fxz3696]

Can confirm that the first question (inverting the matrix) can indeed be done on a calculator.

[@TomRocksMaths]

I KNEW IT

[@redswanmusic3627]

@Oliver Dixon doing it on a calculator takes no longer than entering all the numbers, it's definitely faster than by hand

[@myself0510]

Like other comments, I'd have gone for the adjoint... Assuming basic calculator. Just a tad of flexing, did my A level equivalent without a calculator... I suppose the questions were just more proof based

[@lesserspottedmugwump.363]

@@myself0510 Yeah, a lot of the marks for A levels are for method rather than the actual answer. In reality you just use MATLAB in the real world.

[@myself0510]

@@lesserspottedmugwump.363 Please don't tell me you're in the "but why are we learning this?!" camp! It's important to know the methods and frankly I'm bored by "Maths" that you dump in a calculator or MATLAB or, hey, Geogebra (free) does determinants. It's so not the numerical answer, but the method and the general result! Unless you talk applied Maths

[@thecsslife]

I never knew Machine Gun Kelly was also a Mathematician

[@TomRocksMaths]

Side project

[@infernomusic1726]

@@TomRocksMaths lol legend

[@charles4283]

mathine gun kelly

[@jaydenwilson9522]

@@TomRocksMaths Low-key best reply I've ever read.....

[@liampitcher5586]

There’s something satisfying about watching a maths test getting stomped through by an expert.

[@jayelms476]

Same here

[@kummer45]

This man is a teacher. A good one. Classical exams done by an expert hand always teaches an insight dealing with quotidian standard problems. He always device a clean strategy to solve them. This guy enjoys his job as it should. Kudos.

[@LomiKo]

This man is a man.

[@hussainismail2080]

U look more like a rockstar lmao, No one can guess that u have a Phd in mathematics

[@TomRocksMaths]

[@darrengreen7011]

@@TomRocksMaths tom could you solve the questions on the board in goodwill hunting? I think alot of us would like that. You remind us of Will Hunting

[@Chach1001]

Yeah, you'd normally just bam that Q1 into a calculator 😂😂

[@PsychoSquadPilot]

And even if you didn't, that man did such a long method than what is taught.

[@Chach1001]

@@PsychoSquadPilot Yeah, i was taught: Matrix of minors, Correspondence, Transpose then have 1/determinant infront of the matrix

[@PsychoSquadPilot]

@@Chach1001 Same

[@harrisonprocter8947]

Yeah I've never seen the method he used

[@mikecroker8847]

@@harrisonprocter8947 Are u sure about that? that's a fundamental theory of matrices

[@ib9rt]

It really hurt watching you do the matrix inverse by elementary row operations. Even though I sat the further maths exam over 40 years ago, I did remember about calculating determinants and cofactors and the adjugate matrix.

[@eskosh]

Yeah it's just adjoint(matrix)/determinant(matrix), and calculating adjoint is way easier than elementary row operations.

[@carlosaguilera4836]

I still do it by elementary row operations if I have to, once u get used to it it can be quite fast, also I don't like the fact that I could inadvertedly screw up some sign in the adjoint. Although the easiest way is just to put it in the calculator, which does that kind of operations.

[@nikolai228]

I'm not quite sure if computing so many determinants would really be more efficient than simply doing ERO

[@eskosh]

@@nikolai228 The determinants will be of order 2, that's why it will be relatively easier. If this determinant was 4x4 or above then surely ERO would be more useful.

[@niklimnat1061]

@@eskosh well thank god that a level further maths only goes up to 3x3

[@StillTypical]

As an A level Maths Student, I ugh have no words lol. Respect to my further maths brothers and sisters

[@thenungod]

thanks next yer will be so painful looll

[@kaipablanca]

as a further maths student. Help

[@thenungod]

@@kaipablanca yay which is ur faverout parts of maths?

[@dkwsdodocos5529]

@@thenungod that my final exams in 2 weeks

[@kevinstefanov2841]

I did both Maths and Further Maths at A level, even got 100% no mistake on one of the Further Pure Maths exams (FP2). It was really hard but at the end, all my university choices accepted me right away!

[@adamsleep3028]

This is a really good video. For a person living in a developing country, not only is this enlightening but inspiring as well. Much love and keep up the good work.

[@jojihue5777]

Hello Tom! Just came here to say you're a true inspiration to all of us. Cheers from Malaysia!

[@TomRocksMaths]

[@aag24]

Met you at the department a couple of years ago, Prof! So lovely to see you - you put me right at ease.

[@TomRocksMaths]

[@mohammedistiaqhossain2476]

Tom looks more like a rock star than an Oxford University maths professor.

[@rodrigosimoes7103]

YESSS! You actually did it! That's so exciting! Have a go at Stats & Mechanics next 🙌😄

[@disjaibled]

Oblique collisions and Chi squared moment

[@hughmungous1539]

It'd be really cool to see you do an A level physics paper next. I love these videos, it's so great to see you work through a problem out loud

[@calebp6114]

Great idea!

[@asd-ro5yk]

The mark schemes on physics are ridiculous, I guarantee your average physics nobel prize winner wouldn't get more than a B Edit: because you basically have to memorise the answers because the mark scheme is awful about wording

[@ArvinTharumalinagam]

@@asd-ro5yk bruh so true. I remember once marked me down cos i said opposing force instead of resistive force.

[@dajalapeno8480]

@@ArvinTharumalinagam bro i just did this in my exam, i hope i get the mark lol

[@manfromwuhan714]

@@asd-ro5yk you can get an a without answering any of the wordy questions

[@zaynmehrali9096]

I cant lie A-Level maths wasnt for me, but watching you go through this paper was kinda fun. I salute you!

[@joeljose182]

Man this helped me soo much in my studies 😭 thanks for your efforts.

[@TomRocksMaths]

Happy to help :)

[@Afghan47]

Did my A Level Maths 4 years ago this video brings back lots of memories just got a 1st class in aero engineering. Nice thing about these papers from what I remeber was learning the method the questions just chnaged numbers with 1 or 2 surprises in each paper

[@rolandcheben483]

Just want to say thank you man, this vid rly helping me revise for my exams next week.

[@gamingresumed1788]

shouldnt the theta value be less than 90 in 21:44 since theta is acute?

[@FrostedFlakes1800]

Would be super interesting to see you take a year 13 test, the AS is hard but the A2 is where things get really interesting.

[@mythicaldragon2260]

Year 13 further maths is madness. Those second order differential equations with the particular integrals and complementary functions were like crazy

[@layer1087]

I'm going through that phase rn it's kinda mad balancing between 4 subs, idek how those kids who take 5 to 6 subs manage ​@@mythicaldragon2260

[@ErinAnnCooper]

It would probably be easier for him than the basic exam, more recent and similar to what he teaches?

[@khan99ish]

I find this really helpful thanks I’m preparing for my further maths exam in January so am watching this thank you very much

[@theflyer0504]

Currently doing Maths Higher Level AA in IB. It was really interesting to see how easily you dissect the questions. Great content!

[@TomRocksMaths]

Glad you enjoyed it :)

[@glouuwallgaming4734]

U really fired my relationship with maths👍

[@tritoanngo9384]

Maths Specialist in Australia. I know how to do the majority of this but the way you set it out and do it really intrigues me

[@heroben1079]

Thanks for the further maths exam!

[@steffahn]

Solving the first problem (matrix inversion) is actually fairly straightforward (and quickly) by calculating the adjugate matrix / using Cramer’s rule.

[@nijntje3601]

I also do a type of further maths at school similar to this, HS too. This was really fun to watch :)

[@ojaksteacher6893]

Proud to see ur video Dr. Tom Rocks...

[@oxbmaths]

Livesolving. This is oddly satisfying. Please do more! Nice solutions, in particular the summation question. An ordinary A-Level student might have been intimidated by the appearance of the cos term in the summation.

[@deviant7100]

I recently did my last further maths exam and I really enjoyed the subject

[@TomRocksMaths]

Hope it went well!

[@ayeshaiqbal1821]

im doing ma GCSE prep whilst watching ( actually just listening) this n i dont even know what youre talking bout, but it helps....i swear it helps

[@P_Dreamer]

I’m doing Further Maths and the paper you did is the spec I’m doing right now. I went through this exact paper today for revision (only attempting questions on stuff I’ve already learned)

[@Kairav09]

You are literally my role model. A math genius with such a great personality. A professor at one of the most prestigious colleges. And you don't even look 30

[@TomRocksMaths]

[@CliveGregory]

45 years since I did my A levels, but I did remember something about Determinants and Adjoints while I was watching you tackle question 1a. I have to admit that I couldn't remember the method until I googled it. I mean who does it by hand when every programming language has an inverse function!

[@lethalsub]

"I mean who does it by hand when every programming language has an inverse function!" If you were programming a matrix in C you would probably end up doing it from scratch. I haven't stumbled across an inverse matrix function in the standard library.

[@perhapsso1909]

@@lethalsub whats stopping you from using libraries that have those implementations?

[@lethalsub]

@@perhapsso1909 "whats stopping you from using libraries that have those implementations?" Using an existing library is boring if you're able to write one yourself.

[@perhapsso1909]

@@lethalsub Well idk what kind of programming work you do, but wasting time to implement something that has already been implemented and optimized to a far better extent than we could ever do within the time frame of a much larger project is just a waste. Like at that point why even use the standard library? Might as well write code from scratch on assembly.

[@lethalsub]

@@perhapsso1909 "Well idk what kind of programming work you do..." I'm an amateur programmer. "...but wasting time to implement something that has already been implemented and optimized to a far better extent than we could ever do within the time frame of a much larger project is just a waste." What library are you referring to? "Like at that point why even use the standard library? Might as well write code from scratch on assembly." Way ahead of you there, I'm planning on learning some assembly. Also, I've already written a few of the parsing functions from the C standard library, such as strtol (which I implemented in C, not assembly).

[@AG-ql1sy]

You’re the cure to my depression. Watching you 3:30am while I can’t sleep

[@yournan7249]

Just don't be depressed

[@tpiano1165]

@@yournan7249 simples

[@hybmnzz2658]

@@yournan7249 apparently hes cured

[@yournan7249]

@@hybmnzz2658 cured of a fake illness?

[@91vanced14]

Great video Tim 👍

[@opendebate]

Wow... you got so much time you even got a youtube channel. I think getting a phd in math is very rewarding

[@morgant5680]

Had my last a level further maths test 2 weeks ago and I've never been so happy that it's over 😭 But that first question has a much easier method than what you did, even without plugging it straight into the classwizz calculator

[@xyy258]

Claps to him for not even using the correct calculator and actually managed to pull the test off. He probably should've tried using something like Desmos, because he was living "the best life" over there with the first question at least 😂

[@SupremeST25]

Sharp > Casio🙄🙄

[@marving8907]

This is really cool, it brings back my interest in math that I had back in high school. Also cool tattoos 👍🏾😎

[@israelruiz2906]

I love Maths and I have been Math Teacher for about twelve years. I like your content, videos and I also learn English. I would like have a Teacher like you. You are so cool and nice.

[@TomRocksMaths]

[@edfraser8231]

Just finished my advanced higher maths in high school (Scottish equivalent) and its funny finally recognising everything and all the methods you're using😁

[@RC32Smiths01]

Ahh these High School exams really take me back haha. Looking forward to this one!

[@edcoad4930]

Enjoyed this!

[@nicholasdavies6264]

To be a Professor at your age is incredible! You are truly talented!

[@clapzy1582]

He’s in his late 30s

[@nicholasdavies6264]

Still a superb achievement.

[@thatonelocalauthority2809]

@@clapzy1582 most professors are in their 50s or 60s, especially at such an acclaimed university like Oxford.

[@jingoringo]

For question 3, i found a geometrical approach to be nice. So, we have the intersection of the circle radius 3 centered at 1+i and the cone centered at 2 which makes angles pi/4 with the real axis. let A be 1+i, B be 2, and W be the point of interest. ABW forms a right angled triangle of hypoteneuse 3, with side AB having length sqrt 2. Therefore, the other side BW has length sqrt 7. Let C be the real part of W. The triangle BCW is a right isoceles triangle having hypoteneuse of length sqrt 7 and therefore sides BC, CW of length sqrt(7/2). Now, we know the real part of W to be 2+sqrt(7/2) and the imaginary part to be sqrt(7/2). Calculating the square of the modulus gives 11+2 sqrt(14)!

[@BiscuitZombies]

Hey Tom, you should try an Australian math exam. Search up “VCE Specialist Maths exam 1 (or 2) 2019”, you can change the year as you please. ‘Exam 1’ doesn’t allow any calculators, and ‘Exam 2’ allows a calculator like the TI-Nspire one, so it is graphical as well. This is the highest level of math here, and it covers things like: calculus, related rates, complex numbers, vector functions, motion/dynamics, and fairly basic differential equations (the most complex one is separable).

[@user-cl7vi8tj6u]

Interesting to watch you work through this although it was only as level. Would love to see you try the full a level exam.

[@luiginotcool]

The Casio FX-CG50 graphing calculator does indeed find the inverse of 3x3 matrices! Although we do learn how to find them by hand, but it’s very tedious as you have shown!!

[@Zach010ROBLOX]

I love that he used the graphs of sin and cos to find the angles instead of a mental (or drawn) unit circle, very interesting

[@jaif7327]

a true mathematician, thinking outside of the box

[@francisyang5661]

I'm from new zealand, and when I was learning trig earlier this year we were taught through sin and cos graphs. When I wanted to look at some tutorials on yt I immediately came across unit circles, and thought wtf is that lol

[@ichvvhovxugcvuhi3522]

I use a mixture of graph and ASTC depends on whether is it basic or transformed function

[@Zach010ROBLOX]

@@francisyang5661 That's interesting! Honestly sounds a lot more practical too 😅

[@ryanpatel2001]

It would be really fun to watch you do a STEP 2 paper (example: 2017) since those papers are a notch higher in level and are commonly used as entrance exams for unis. Great content btw :)

[@alistairs3934]

Would be fun although the STEP is very much a Cambridge thing not an Oxford thing

[@ryanpatel2001]

@@alistairs3934 STEP is used as a conditional offer for multiple universities like Imperial, Cambridge etc... It should be on par or if not, a bit harder than Oxford's entrance exams too. Hence, it would be fun to watch him do a STEP paper :)

[@itsnotcharan]

@@ryanpatel2001 I would actually say that it’s roughly at the same level because MAT is done at the start of year 13 whereas STEP is done at the end of year 13, MAT assumes you have just some A Level Maths and AS Further Maths knowledge whereas STEP assumes you know all of A level Maths and Further Maths. I struggled to do STEP papers during September when I was practicing for admission tests but at the moment I find STEP papers to be as hard as MAT papers (although let’s be honest it’s still really hard)

[@indiging8330]

@@itsnotcharan STEP 1 and STEP 2 does not assume any further maths knowledge.

[@theslightlyhillyrider969]

@@itsnotcharan Having done both practice MAT papers, and planning to do STEP 2 and 3, I can say that STEP is definitely harder than the MAT. This is mainly due to needing a lot of FM, including some memorised formulae, and the fact that the questions are a lot longer.

[@marcustyrer9339]

I finished my A-Levels, one of them being FM, last summer and I can confirm the method we were taught for inverting a 3x3 matrix has about 5 steps if I remember correctly.

[@rationalsceptic7634]

Tom is a joy and inspiration..if you hate Maths,you probably think he is sad and crazy to sit a Further Maths Exam in public ha But I love seeing how Maths is done!

[@Bananasforthesoul]

It’s nice to see you go through the steps for question 1, but I feel like I would’ve just used the adjoint method. That’s what I remember doing until we were able to use calculators, then just enter values.

[@AAIVE]

the fact that you’re so well qualified and also alternative looking makes me not feel like an idiot about studying to be a doctor. i think i’ve always secretly thought that nobody would ever hire me lol, or that i don’t *look* like a doctor, therefore can’t really be one? i don’t know. it helps. thanks. 🙂

[@TomRocksMaths]

If you have the ability, the way you look shouldn't come into it. Keep being awesome.

[@clairecooper7014]

This was awesome! I'd love to see you do the A level paper rather than the AS.

[@GalaxyTigress]

God I remember some of this... I wasn't very good at it.. but I remembered loving this 😭 god you seem fun though to listen to ❤️

[@cloroxbleach700]

The calculator we use in A level papers is the casio 991EX classwiz. You can input the elements of matrix and find the inverse that way.

[@JohnDoe-zh6cp]

For the volume of revolution problem I think you should have extended area 1 down to meet area 3 and shrunk the area of 2. It would be a little harder because area 2 would no longer be in contact with the axis of revolution but it would be a slightly better approximation because 1 & 2 don’t articulate perfectly in your model. Also the model doesn’t take into account the thickness of the glass which I think is part of why you got a larger area.

[@chemistry9942]

Heya Tom Thank you for doing this :))

[@TomRocksMaths]

My pleasure!

[@fareskhalid8480]

I enjoyed this video :D

[@johnchessant3012]

What courses do you usually teach? It'd be interesting to watch you work through an exam you wrote yourself :p

[@mikemazanetz4183]

Q1 , easy, just work out the the determinant first, then the matrix of minors and then the matrix of cofactors, find the transpose of the matrix of cofactors and divide this by the determinant. :)

[@tomaszlechowski588]

I think in the question about lines and planes it's not just about the fact that the angle has to be acute. You've calculated the angle between the line and the normal to the plane (and not the plane itself), so you would have to subtract 90 degrees (or if your answer happened to be an acute angle subtract it from 90) to get the desired angle.

[@timothyaugustine7093]

The last question has an overlapping shape of cylinder and part of the curve when doing the volume of revolution. You can deduct the volume of the part of the overlapping curve to get a better estimate.

[@danlebich]

Its 12:30 am and im watching this guys take a math exam 😭 what have done to myself! Brovo man! Those proofs are so hard to approach for me and you just breezed through them!

[@TomRocksMaths]

It comes from a lot of hard work and practice

[@pepe_s1lvia]

Dude is a friggin genius and he looks like a killer magician too, never would I expect him to be a math professor

[@ericcheltenham7001]

You don’t need to be a genius to this, just hard work ethic and a passion for maths

[@Grexen-bo6zp]

I really love your style

[@TomRocksMaths]

[@ipektoktas1459]

IB Mathematics Paper 3 is quite challenging. It can be a nice motivation seeing someone solving those problems :)

[@scoops0406]

Be interesting to see you tackle an old S level paper, though not sure if the further maths paper is it's modern equivalent, been a long time since I did maths to any level of complexity.

[@mathsandsciencechannel]

I remember the first time solving an oxford university question. I was very happy i did. lol

[@luqmanhakeem6021]

I was very happy too. I read the first question and happily left to avoid further brain damage🤣

[@AhmedIbrahim-hs7kk]

Love this

[@MrMelange]

I am mesmerized

[@aniketeuler6443]

I'm More fan of your hairstyle sir than your mathematical skills 😃

[@fatfrankthepeteacher2503]

He’s got amazing cheekbones as well

[@aniketeuler6443]

@@fatfrankthepeteacher2503 😂 oh man

[@jawad9757]

can't wait to do further maths at a-level, this stuff looks fun

[@jawad9757]

update: this enthusiasm was misplaced 💀

[@jonathanbrewer7072]

Brilliant !

[@azizul1975]

i remember doing SMP Further Maths during my A-Levels in the year 1995… it was sooo hard, but i managed to get A for it … yay…

[@Wagw]

Never judge a book by its cover. Professors can have tattoos, smoke cigars and a beer. This guy is so cool tbh.

[@anenzyme1968]

I too love smoking beer

[@Wagw]

@@anenzyme1968 the result of typing too fast 🤣

[@Bacon-King]

3:23 this is me doing math, like all the time... a realization that there was certainly a more expedient and efficient solution, followed by the sense of accomplishment that my ridiculously overcomplicated solution actually found a correct answer.

[@sreeragmsudheesh]

For Q1 M inverse can be found by Adjoint M/Determinant A.

[@robertbooth1982]

Imagine this video being in my feed for no reason good job yt algo

[@TomRocksMaths]

good to see it works sometimes!

[@John75ify]

On Q7, you already had the function expanded out, you just had to compare coefficients again to get p and q from your α,β that you now know. Would be much faster :(

[@user-pn4ne4cr8c]

The math sure is a trait But the drip is mandatory.

[@fatfrankthepeteacher2503]

Maths and physics students are pretty cool, its the chem and biochem that are straight up fatneeks

[@ericcheltenham7001]

@@fatfrankthepeteacher2503 true dat

[@user-hy3jv7jl7c]

@@fatfrankthepeteacher2503 accurate

[@rocky171986]

For the first question, you are allowed the use of a graphing calculator which has functionalities of inputting matrices and finding its inverse. That's why it's only 2 points.

[@asparkdeity8717]

Yeah graphing calculators are good, but if u don’t want a graphical calculator the Casio Classwiz can invert matrices

[@rosefray5984]

I would love to see you do some high level international high school exams like Australia or the us to see the differences

[@sheikmuhtasim4358]

I am a law student. I was good in maths in high school and could do mental calculations faster than my class mates who stayed good in maths till A levels. However after grade 8 i didnt see the simplicity or a beauty in it. Becamw more of a chore, I think I didnt learn it well or didnt have it properly taught in my school. This guy gives me hope that maths can be beautiful. I really want to know who taught this guy maths. Cheers!!

[@howardlam6181]

high school maths is always a chore because you can't use the computer. You'll need to do your own exploring early or do olympiad maths to learn the "beautiful" stuff.

[@catsmeow3656]

I have a Core pure test next week thanks for the practice paper

[@vitorembessa]

In Q1 you could calculate using Minors, Cofactors and adjugate... Its probably faster since you only need to calculate 10 determinants (1 from de original one and 9 from the 9 2x2 matrixes)

[@isabellapetch5107]

my school didnt offer further maths so I had to teach myself this course by myself in lockdown as well as balancing my other subjects

[@lucas-sc1tu]

I want a math professor like this, this man dope as fuck.

[@TomRocksMaths]

[@Mackieee]

Would be interesting for you to do a Scottish higher math exam and compare :P

[@mrgeek434]

Higher Maths is roughly equivalent to A-Level Pure Maths. Advanced Higher Maths is roughly equivalent to A-Level Pure Further Maths.

[@Mackieee]

@@mrgeek434 I know they are equivalents but the taught material can differ slightly between the two systems

[@aashsyed1277]

thank you so much

[@gp5578]

Excellent