Oxford University Mathematician Sits High School Maths Exam

[@TomRocksMaths]

I made a slight error in Q9 (c) (ii) where I said 2x=-2 means x=-4, when I clearly mean x=-1... what can I say - the pressure got to me.

[@aniketeuler6443]

OK sir got that I'm pleased that you improve at this level also 😀

[@fatsquirrel75]

You had more than an hour to go with the exam. More than enough time to redo each question and hopefully spot the mistake.

[@rkond]

And also for g

[@yashaggarwal9719]

hello, can you tell me one thing 👇 that the range of f(x) =√x²-4x+6 is [√2,∞) My question is that a square root gives us both +ve and -ve value then why is the range only a +ve value ................ Please help me I am very much confused please........🙏

[@yashaggarwal9719]

i am saying that For x=5.7416573868 we get x²-4x+6 = 16 So, f(x) = √16 which means f(x) should be equal to +4 and -4 .............then why the range do not include negative values if we get f(x) = -4 ???

[@Alex-zw7sr]

You know he's high up in mathematics when he easily reasons weird concepts, but takes several seconds to do -2 + 3

[@DeShark88]

Slightly worried he chose to differentiate the function 100 - a(x-b)^2 rather than identifying that x=b minimises the deduction from 100. And then 100 is obviously the maximum value just by looking at it. Unless he worked it through just to show the general principle. I guess he's a teacher so that's probably what happened.

[@Orlandofurioso95]

@@DeShark88 Under time pressure, which he kinda was feeling, it's cognitively easier to go for the sure method than for the "unreliable" inspiration.

[@PassionPopsicle]

My high school maths teacher started out by stating that "maths has nothing to do with numbers" - to the great relief of about half the class, myself included, who suck at mental arithmetic 😅

[@Tuqtgref]

Actually it's me .

[@jessewolf7649]

Most grad level pure math courses include very few numbers. Topology, Functional Analysis, Differential Geometry, etc…

[@gibran.zidane]

when you finish all the side quests and then you go back to the starting zone

[@TomRocksMaths]

Nice.

[@jeetenderkakkar7570]

Finish

[@nikodemus7900]

@@TomRocksMaths Let's keep the likes at 69.

[@hanzz9083]

Wheres the final boss?

[@jetmutex8336]

and massacre all low-level mobs

[@PanzerfaustBR]

I knew you're going to ace it when you got the + C at the end of the integral. Truly, this is the sign of pure mastery!

[@joel.j5637]

Bro you don’t know, I’ve lost countless marks because I forgot the +c and the dx on integrals.

[@owen7185]

Funny because it's true, so many students leave it off

[@michaelhughes6634]

I hate to be that guy I may have got an A in maths

[@leerobertson7226]

You could have literally been making all these answers up and I wouldn't have known. Mind blown.

[@ragnkja]

Or at least the sign of someone who paid attention when learning about derivatives and noticed that the constants always disappear, so when reversing the operation you have to remember that there could be any constant there.

[@deltius]

imagine going to Oxford and thinking your professor is gonna be some old guy and this dude shows up

[@xXanderx87]

That really was the best part.. dude showed up living his best life.

[@timreilly5383]

@Games Account er, no......I listened to a Cambridge Maths don's reply when asked about Maths at Oxford; "that's a coloured pencil subject over there isn't it?!!!

[@brhodes0]

Imagine a thing happening.

[@thecakeisalie8135]

when someone's appearance doesn't feel like it matches their profession, you know there's some genius involved.

[@owenjarvis9696]

Man said he ain’t been in a level for like 16 years. WHAT. MAN LOOKS ABOUT 21

[@Awai_quotes]

Fax

[@ze89412]

No he doesn’t

[@mehmeterciyas6844]

@@ze89412 he looks like 20 yr old

[@Wlodixpro]

Nah he doesn't

[@filipkogut8533]

He looks young but I wouldn't say he looks like he's in his twenties. Thirties is what I'd bet on. Btw I don't know his real age.

[@Patrick-pu5di]

love how you're talking yourself thru the problems. wish more teachers did that--it's really helpful to hear the thought process in real time

[@TomRocksMaths]

Glad you found it helpful Patrick!

[@trainer778]

Most teachers follow a script. Go off script and they think you are disruptive :)

[@louroth5282]

I’m just approaching the final exams of my mathematics degree and it’s been tough as “COVID teaching” has really sucked out the joy of learning the subject - feels like the perfect time to have discovered this channel and remind myself why I pursued maths at higher education in the first place! Thank you Tom!!

[@TomRocksMaths]

welcome aboard :)

[@landoncube769]

I'm glad that jobs are being more open to hiring people that tattoo themselves and express themselves with an external look. Really wouldn't expect a rocker look with tattoos to be a math professor at Oxford

[@TomRocksMaths]

Thanks to everyone that joined the premiere and sorry I stopped replying at the end - my internet connection dropped and I was kicked out of my own premiere!

[@kurlyshot4487]

It'd be interesting to see you try this with a further maths paper!

[@LWL-sz5lh]

Interested to see you do the Singapore H2 A level Maths paper. :) It is much harder than the actual A levels.

[@jeetenderkakkar7570]

Internet connection

[@itsamazz143]

L

[@vanamutt43]

This is real life smurfing lmaoo

[@TomRocksMaths]

LOL. fair point.

[@offabender2719]

Bruh 🤣🤣

[@jeetenderkakkar7570]

Real

[@Alex-zw7sr]

My favorite comment :D

[@selfmadepeach]

Pisssmurfing in apelow

[@danielc322]

Dude Can't believe you came up on my recommended, I remember you talking about the 7 Millennium problems in the beginning of August 2018 at St John's College for the Inspire Programme which I found extremely interesting and even wrote about them in my Personal Statement, you ignited a spark for me to know more and more about maths, 3 years later and I am now in my 2nd Year of Maths at Exeter! Want to say thank you for being educative and entertaining, I remember you stood out the most, even showing us your all your math tattoos including the equation you modelled yourself as part of your PHD. All the best to you Tom and great content!

[@TomRocksMaths]

This is amazing!! Thank you for sharing - it's so great to hear you're dong well :)

[@dabama2864]

👍

[@konvoy5612]

Did i Just watch an hour long video of guy solving a maths paper without getting bored.

[@TomRocksMaths]

[@alejandromontoya4181]

Man! I ended my engineering degree 5 years ago and now I am finishing med school, it's so relaxing/nostalgic watching you answering this problems. You sure are a great teacher, keep up the good work!

[@TomRocksMaths]

Thanks Alejandro :)

[@evolutiagames]

Seeing you write "

[@ernest4525]

Timestamp?

[@aliqureshi9741]

@@ernest4525 11:30

[@jeetenderkakkar7570]

""

[@floreaciprian9742]

So youtube recommends did an amazing job today. Its been 10 years since i passed my equivalent exam and watching Prof Tom solve this A level and all his thought process reminded me of how much maths used to put my mind at ease (if that makes sense). So much so im seriously considering starting doing maths again just as a hobby. So thank you very much for this. You gave me something that I had no idea that I needed. Wish you best of luck

[@TomRocksMaths]

Go for it!!

[@melysmelys2622]

Same here and just started AS-level Maths, (Edexcel), for that very reason.

[@bjohnthomas]

This is a good idea. I wonder whether there are any really brilliant mathematicians or math teachers who run these courses for math enthusiasts like myself??? I would seriously consider enrolling and learning math for fun/hobby.

[@TomLeg]

@@bjohnthomas There are tons of options online, Khan Academy, Coursera, various universities.

[@heroben1079]

Would love a further pure maths exam!

[@shaozegeorgelin7184]

Please do an Edexcel FP2 Exam or an old Edexcel M5 exam --- these papers looks so fun! :)))))))

[@virtueontv8063]

nice 2hr 40 min exam hahaah

[@pro-gradetech9155]

Yes plzzz

[@veerakiettungsanga2630]

F2 or f3 would be preferable lol

[@pro-gradetech9155]

@Quantum Spice THE cie is so hard lol even harder than edexcel. I do edexcel and when I solve cie further maths past paper I fail so hard😂😂 but in fp3 I usually get 70-ish out of 75

[@Dohzer21]

Being someone that has never done maths this technically I really enjoyed watching someone who really knows their stuff just jump around and totally smash their skills. I teach myself and by it’s very nature you need to spend so much time explaining how you got from point a to point b (which you still did a bit despite not needing to), so it was really cool to see you just hit it! I’d love to see more of this in other subjects too just to show what it looks like when you really know your stuff. We get it in physical endeavours but rarely in the mainstream about academic feats we can all relate to. Many thanks for posting!

[@gsz759]

You are the true definition of "never judge a book by its cover". You are very talented.

[@TomRocksMaths]

thanks!

[@joewright3715]

I was yelling at my scream when you couldn’t find the [S->D] to turn the fraction to a decimal lol

[@100nb6]

Crazy as this isn’t the ‘typical’ professor look. Looks good 👍🏽

[@TomRocksMaths]

[@succatash]

That's how you know true genius

[@MicroageHD]

@@succatash True geniuses usually have the typical professor look tho

[@succatash]

@@MicroageHD true geniuses buck the trends because they know real change doesn't come to conforming to a system, Einstein, Hawkings, Hendrix, Marley, Lovelace, van gogh, Picasso, Da vinci.

[@viperr000007]

Yh seems like a cool guy too. Live long and prosper my friend.

[@AG-ql1sy]

You’re amazing 😂 such a class act, so smart and friendly, you got a personality and it’s like you can relate with the viewer. You break everything down and make it seem achievable

[@TomRocksMaths]

Thanks!

[@jhfh3112]

Hi, A level Maths teacher here. I thought your video was really interesting, especially the cases where the you write maths is different to what would be expected of students in an A level exam. I thought you might be interested to know where an A level examiner would probably disagree with some of your (written) answers. I understand that you're well aware of all the details involved and you've just saved yourself a bit of time or considered the details to be trivial. Q2a: Your sketch and solution alone would probably score 1 or 2 out of 3. You described the reasoning for what you were writing verbally, but on a reason question like this the justification would have to be included in writing. You'd also possibly need to explain it's always positive, not just non-zero (probably by finding at least one value of the function for some x). Q2b: You score full marks, A level students would usually be trained to look for a counter-example alone and that would also score full marks. Q6a: For both marks, since the question says 'explain', you would probably need to not only find the profit is negative but also interpret that in context, so you'd need to write down why a negative value for P is a bad idea, not just say that it is (anything written about negative profit is a loss would do). Q6b: It's the SD button (surd to decimal) you're looking for here, as Im sure someone has told you :p. Since you're asked for a selling price, this would probably need to be in sensible units in the context of the question (pounds and pence) to score full marks. Q7: You've definately got full marks here, but I noticed you initially made the very common students' error of assuming the triangle was acute! You may also be interested to know that cosine rule used to be included in the formula booklet until 2017, and now students have to memorise it. Q9c you noted in the description Q11: Full marks, just some different methods. Since this is an AS (Year 12) paper, students would use a binomial expansion using coefficients generated by the choose function (nCr). The method you use is taught in year 13 now. Both formula are given in the formula book, though 'proper; taylor expnsion, involving derivatives, is only done in further maths. Q12a: You are definitely skirting the line on the minimum needed for a 'show that' question with 4 marks! In particular I wouldn't advise a student to have an incomplete line like your 3rd line. I would think your answer would get full marks though. Q12b: You forgot that since x is acute, 3x is up to 270 degrees, so there are multiple solutions (actually 3). This is a very common error. Also, students nowadays should solve the quadratic on a graphical calculator to save time. Q13b: You weren't quite specific enough with q, it is not just a rate of increase over time, it represents a percentage increase of approximately 12.2% every year. Depending on the mark scheme you might not need the percentage form, but you definately would need the 'every year' part. Q15: A definite integral like this could be done on a calculator too now! Thanks very much for making your video. I found it absolutely fascinating how many ideas from a level a higher educator would use and find normal and which ones they might not. I hope you find my comment an interest too and not something to knock or criticise you in any way. Hope you make more videos in the future. All the best.

[@Danxcf]

Get off your knees mate

[@trainer778]

Not sure what a marking scheme is. Sounds to me like something that would stifle thinking about a problem.

[@jhfh3112]

@@trainer778 No, it's something to ensure that the thousands of assessment papers are marked consistently.

[@trainer778]

When a marking scheme discourages creativity and thinking, then it is a failure. When I was in academia, the questions I set were simple in the sense that if you planned the attack well, it would be solved in less than 10mins. Otherwise, it would take about 30mins and the paper would unlikely be completed in time. That helps to weed thinkers and rote learners. Perhaps as a teacher, you may like to promote thinking?

[@KeenanTims]

Wow I would be upset if my answer 'the profit is negative' wasn't accepted (and the marking scheme confirms this only gets partial credit). That's literally the definition of a loss. Restating it as 'this is a loss' is truly redundant, it's a matter of using different words, clearly the concept is understood if they state this as the answer... The rest of the marking scheme seems fair to me, but god I hated losing marks because of the unstated expectations of the marker/scheme, rather than gaps in my understanding.

[@georgesadler7830]

DR. Crawford, thank you for another fantastic analysis and solution of a solid high school math exam. These problems are challenging for any high school student.

[@TomRocksMaths]

Glad it was helpful!

[@domc3743]

14 years since you sat a levels! You've aged like fine wine sir

[@jeetenderkakkar7570]

14 year rule in indi of ritesh in japan

[@guanlin0]

what do u mean aged like fine wine fella didn't age a day beyond 21

[@eliasdimitriadis9803]

Sir you brought back so many memories. I took my A levels 30 years ago😬 A in maths but now I wouldn’t be able to solve even 20% of the exam. Never had to use this kind of maths either in uni or in my job. Fantastic video, a thank you Sir for sharing 👍🏻

[@mrpenelope9851]

All this shows is that if you put the effort to really learn something and you're passionate about it, it will show, even at lower levels. This man truly loves this subject and it shows by the way he does the math and explains the process and outcome of each answer.

[@sinanayenigul8731]

Although you kind of have some superpowers, your gentle and positive attitude encourages everyone. People will probably be more light hearted when having these exams. Thank you for this brilliant video.

[@TomRocksMaths]

Wow, thank you :)

[@atticusjones]

"that'll be four across and five down"...the mere fact that that utterance stems from an Oxford mathematics professor gives me hope for my future in the subject.

[@jumpingjflash]

I did A level Pure Mathematics in 1971. There were two 3-hour exams. Each exam consisted of 10 problems, you had to choose and solve 6 out of the 10. No calculators at all, just log tables and trig tables. The disciplines of trigonometry, calculus, complex numbers and probability were all covered. You could predict your exam result quite accurately just as soon as you were finished.

[@malibuperseus]

i consistently did badly in maths bc i am TERRIBLE so why am i watching this and why is it giving me joy?? where was this when i was in school xD

[@TomRocksMaths]

I think it's awesome that you are enjoying it though :)

[@NE0C0R7EX]

Because back then you HAD to understand it, or else… and right now it doesn’t really matter

[@anuraglamichhane1733]

It took me a couple of minutes to process the information that a young, swag guy is not an oxford student but a professor. I'm gonna subscribe.

[@TomRocksMaths]

Welcome :)

[@dylanevans2498]

Thanks for posting this. I used to teach Physics in tutorial colleges in Oxford (NB not the University - to be totally clear, very different) and due to staff shortages, one day the college said oh if you can teach Physics, then you can teach them A-level Maths too, your student's waiting for you in room 4. I hadn't even studied A-level Maths as a subject myself, and I told them that. These were very bright foreign students destined for Oxbridge, so there was no hiding place. Somehow I muddled through, so I totally appreciate you doing this flying by the seat of your pants approach. Although I work as a researcher/regulator now, I have a life-long love of calculus (and I never thought I'd write that ; ).

[@moharikram1687]

Damn.. His root usage is insane. Nobody will see a factorization using square root as easy as that... worthy the professor title. kudos.

[@davidharris2517]

To switch between fraction and decimal press the sd key just above the delete button.

[@romeomenceitbragarodriguez6198]

This is the different between an engineer and a mathematician they Do not even need a cal so they forget how to use it

[@ragnkja]

On mine it’s approximately above the 8, and says “F⭤D”

[@rambo9875]

as someone who worked very hard for a 6 in maths at gcse level u can imagine the face i am making while watching this video

[@isaacjacobharris]

The cheeky tip for if you do a level, is to do as many past papers as you can, and anytime you don't know something, look it up. Literally 80% of your time should be spent doing past papers

[@mohammedalmarzooqi2717]

@@isaacjacobharris 80% is quite a lot but yes I agree doing past papers helps

[@Zyack]

@@isaacjacobharris same goes for any final exam :) in Australia, our equivalent is the HSC and past papers are a godsend.

[@gagers78]

I would prioritize understanding the content over doing endless past papers but spotting which techniques are needed and when they are needed, definitely helps.

[@isaacjacobharris]

@@gagers78 na doing past papers helps you understand

[@Manduin2986]

You press the SD button on a Casio calculator to change from fraction to decimal :)

[@TomRocksMaths]

Better late than never!

[@climbeverest]

So nice of a professor to show us how a test is taken, actually I myself understood the first 3, I had forgotten vectors, but he showed the way.

[@splode7414]

I last studied maths at school more years ago than I care to remember and did languages at university. Why is this video still so fascinating? Must be the enthusiasm for the subject... brings everything to life. Even impenetrable A-level maths.

[@TomRocksMaths]

glad you enjoyed it :)

[@itsreeah2663]

It's kinda adorable and comforting that he is nervous about sitting a maths paper. Even us maths fans still get nervous, people

[@danialdunson]

if your not nervous its like not caring... just a little.

[@Ray25689]

I think its because people expect you to do this with ease (and you propably can when u have noone watching you). At least for me. Thats why I hate calculating in front of others so much, even though it has clearly nothing to do with math at university level

[@Glitchmelon]

@@danialdunson nah if you revise a lot not being nervous is normal, but being nervous is normal as well. It just depends on the person.

[@stg1325]

forgot the full stop at teh end, unbeleivable

[@katsuo3228]

@@stg1325 forgot some grammar everywhere. Unbelievable.

[@mushfek]

You got the +C at the end of that integral. Truly are a man of culture!

[@jackfoley7781]

i’m not even from the UK, thus I have never touched an A-level, nor am I in secondary school. However, I am procrastinating on studying for my chemistry final exam watching this.

[@TomRocksMaths]

Great use of time if you ask me :)

[@mohammadmahmood8255]

Nothing matters when you have such a beautiful mind and passion for maths... impressed...Subscribed..

[@TomRocksMaths]

[@NTNscrub]

Being from Canada, I never ran into an assessment like this in high-school. At first it seemed pretty bland but I was impressed by some of the concepts it demanded later on. Not to mention the time squeeze. Definitely a decent test of a high-schoolers’s math skills.

[@dannywhite132]

"Its like a riddle" is my biggest hatred of A levels. I got 2 B's and a C at A level, but got a first at undergrad and a distinction at masters simply because the questions at university are about applying understanding, more than learning styles of questions and recalling examples you've seen before

[@assootoshmotah2350]

Facts, I had to work out virtually all past papers from 2019 to 2005 in order to even have a chance at achieving A*.

[@dannywhite132]

@rishi pael I was top 10% in my cohort in both undergrad and masters level, yet I was only in top 30-40% at A level

[@dannywhite132]

@@danielscott4884 I've been to 3 different uni (undergrad at reading, masters UEA, and now phd at warwick) and im still in the top percentile. The point is that A level learning really doesnt suit some people, yet they get branded dumb despite being passionate about the subject, and others are classed as "more intelligent" because they sit in their room all day memorising old exam papers. In my experience the people who do best at A level, at least when I did it, were the people who do well no matter the subject, because they were purely good at memory and recall. So many questions are just a case of "oh yes, I've seen this before they want us to use this rule to integrate"

[@eustasskidd07]

then you must clearly be an idiot or the course you’re taking in uni is a joke. the Alevels are not about recalling examples but simply testing basic fundamental knowledge. if your fundamentals aren’t even there i don’t see how it’s possible you seem to be better @ application questions in uni since application questions require great foundations. sounds like your course in uni is a joke and even a high school kid could ace it. no offence btw

[@dannywhite132]

@@eustasskidd07 are you not able to read my previous replies?

[@28maitreyagupta21]

He's a punk He loves math. What's there more to ask. I subbed.

[@TomRocksMaths]

Love the reference here :)

[@edwardjarvis3442]

This is actually really helpful please go through more past papers 🙏🙏🙏

[@efaesfefse9236]

Watching this brings back a lot of old memories.

[@pausesmaths3086]

Your channel is such a great source of good exercices for the math teacher I am in France. Thank you !

[@mendax7125]

Here before Indians and Singaporeans going to brag about how hard their high school exams are. (Especially Indians with their JEE).

[@funnyinnit3216]

🤣🤣

[@armstrongtixid6873]

JEE is extremely hard lol ... but the thing is, 30% is an amazing score in JEE, and the highest ever score is like 70% or something like that. In A Level 80s and 90s aren't uncommon whatsoever. So, yes it's harder, but you don't need to get a high mark. However, due to the high level, and incredibly competitiveness (millions take the exam), that's usually why people talk about JEE in such a way.

[@lightningstrike2001]

To be honest the difficulty seems very similar to Singaporean O'Level A Math. Nothing much to brag.

[@enejidjsi5939]

Sort of sad us Indians have gained this reputation :/

[@armstrongtixid6873]

@@enejidjsi5939 There's just too many people who are too smart and competitive applying for very few prestigious places, that they have to make it hard, or else everybody gets 100%, and bad luck can ruin a person's life, and unis can't decide objectively.

[@otrrsuns3t]

You know he's a legit genius with the hair

[@CC-mk1sv]

Would like to see you try a STEP paper next! Great video :)

[@NateCrownwell]

This was really cool, Thanks Tom :)

[@NeptuneCheeseCake]

As someone with a Doctorate in Literature, I understood none of this.

[@lotrgirl275]

I highly relate with my English and Islamic Studies degrees haha

[@smittywerbenjaggermanjenso2814]

I majored in Literature and I feel you

[@mikealexander7017]

Why would you?

[@Suiton1987]

@@mikealexander7017 you why would?

[@oxbmaths]

Nice! Please do a Further Maths paper next. And perhaps a STEP paper! A little suggestion: If the question remains visible while you are solving the problem that would make it easier to follow.

[@dzieseliezietsu3905]

I wish I could someday give a math test as chilled as u 👏

[@RobBrown1991]

Maths teacher here, I love it. I have a working theory that you would actually lose more marks with the GCSE paper (not that you will struggle much at all obviously). It would be fun to see you have a go at one of them under time pressure.

[@Georgexb]

This was certainly true for me. I re did a few GCSE papers to get a solution bank for my tutees and made more errors than I did on the A-level equivalents.

[@eggchipsnbeans]

It's a truism but the toughest thing about mathematics is not making errors

[@severtone263]

I remember taking this same exam in 1998. Good times. Thank you for taking me down memory lane

[@TomRocksMaths]

:)

[@ThePippin89]

To swap between the fraction and decimal on your calculator, I believe its the lower row of the upper half of buttons, second button from the right. Looks something like S>D

[@starlight8554]

I don’t understand any of this but I’m here for people who are good at things being happy while doing said things

[@LucioFGC]

I sadly never had my 2nd year a level math paper but seeing you breeze through it made it look so simple 😂 Even after a year of the paper I’m kinda amazed how much I haven’t forgotten lol.

[@kian1767]

This is an AS paper

[@Alovatololo]

This guy looks too cool to be a professor.

[@CarmsCelestia]

2:27 Or if you don't want to or are not allowed to use the quadratic formula (without first proving it): (I don't know the concepts name in english, sorry): We know (x-a)²=x²-2·x·a+a². Let a=4 and we get: (x-4)²=x²-8·x+16. As such, we can easily see: x²-8x+17 = (x-4)²+1 For real numbers: (a)²> 0 for a=/=0 or (a)²=0 for a=0 for all a. We can also easily see 1>0. So (x-4)²+1 >0 Qed Or in general: If you have a formula containing bx²+/- ax then you can first simplify it as b·(x² (+ -) a/b · x) = b · (x²(+ -) 2/2 a/b · x) Now let c = a/2 -> b · (x² (+ -) 2 ·c · x +c² -c²) (note that c²-c² =0, as such can be added without falsifying the equation) Now, depending on whether it's + or -: for + : b · (x² + 2 ·c · x +c² -c²) = b · ((x+c)²-c²) = b· (x+c)² - b· c² for -: b · (x c²² - 2 ·c · x +c² -c²) = b · ((x-c)² - c²) = b · (x-c)² - b · c² This can be done "inside" other formulas, as e.g. x²+2·x-7 = (x²+2·x ) -7 Often constants from outside can be pulled in to be directly added/subtracted from c. (So in the example given at 2:27 it's c=4, so we add the 17 from outside and 17-4²=1) The simplified formula is often easier to work with

[@dfg12382]

"Don't make me use the calculator again" - Mate, I feel lucky whenever I know I just have to use the calc.

[@cake869]

as a tattooed 21 yo guy who's into math and programming , i'm really relieved to see that tattoos dont prevent you from going to reaching high places (such as teaching in oxford) , also , thanks for the video prof !

[@TomRocksMaths]

your ability to do the job/subject is all that matters :)

[@gavcooper]

Can't wait for your STEP III speedrun....

[@gavcooper]

(Also I'm really glad I did A-level maths in the days where there were C1-C4 papers. Don't think I would've enjoyed the longer papers!)

[@adambascal]

oooh, that sounds like a fun idea :) ... oxford professor tries a cambridge admissions test ...

[@flopface2237]

Do you plan on trying a further maths paper next?

[@TomRocksMaths]

If this one does well in terms of views then absolutely!

[@MidnightStorm4990]

@@TomRocksMaths I was watching it when it premiered. It had 100 views now its got 2.7k views you did good!!

[@witkofhf]

@@TomRocksMaths It is absolutely slashing! It will soon be in your all time top 20 and still rising!

[@misslurmath]

This is a fun video to make! A zoom group "exam" could be exciting! Would you do it?

[@Piggehh]

@@TomRocksMaths Safe to say it did!

[@stevepettifer4896]

I did A level maths in 1994 (I forget which syllabus) which had a stats module, mechanics module and a 3 hour pure maths exam. I'm not great at maths but managed to get myself a B (back then, the 2A's and a B I got was a pretty good score on the whole), and I'm sure I was able to do all this sort of thing, but now it might as well be an alien hieroglyphic language. I even had to do some maths at uni (some for engineering, some fluid dynamics, some physics, some oceanography-related) and I scraped through but it's all gone. I am in awe of your ability to do this stuff and remember it, sir! I guess it does help that maths *is* your job, but still, being a visual learner I had real problems with pure maths, especially around imaginary numbers.

[@speedoflightvanc]

Doing a tutorial and explaining your working while sitting for an exam like this is a different level of expertise altogether. And also, finishing a 2 hour exam in 50 mins,

[@sykemypie5216]

Man does a tutorial while having an exam

[@justkiddingwithahmad999]

I have a masters degree in engineering and sometimes I think my brain was much faster in solving problems when I entered college compared to now.

[@cakt15us81]

I have a pure maths exam tomorrow and used this paper for practice, seeing you breeze through it (using slightly different technique) is somehow rather relaxing?

[@tianqiwang9896]

absolute legend. can confirm that tom indeed rocks maths

[@natrea6697]

To go from an exact answer to a decimal, there’s a button just above the on button labelled S - D which stands for surds to decimal !

[@syuensyuen9797]

Would like a version of further pure maths!

[@ashishpoudel6699]

I would love to see you attempt Olympiad Questions while explaining the problems.

[@u.v.s.5583]

You will find serious mathematicians struggle with harder IMO questions to the point of failure.

[@PegasusTenma1]

Olympiad questions are far beyond this. Even many mathematicians struggle with it

[@junkurera1651]

bruh uni of oxford is lit if they hv teachers like this

[@TomRocksMaths]

[@Janzie]

It's one of or if not the best uni in the world what u expect haha

[@robh4671]

Now try writing your comment in plain English... my 6 year old has better grammar than you..what are these people doing with our beautiful English language..stop the world I want to get off..

[@Janzie]

@@robh4671 who are you saying that to

[@xkyleprivatex815]

@@robh4671 middle class looney

[@mikeheyburn9716]

Superb Tom. I'm a teacher and will show this to the kids.

[@Vinnysol08]

This was fun! A little refresher

[@driftingnumja84]

Math and physics are awesome, each problem is like a new puzzle to solve, really enjoyed showing up for tests in those Classes to troll the other students

[@giyantube]

That's the Year 12 AS paper. The full A level paper that students take in Year 13 is a bit harder than that.

[@chrisofnottingham]

I was thinking that the content seemed a bit narrow and straight forward, so that makes sense

[@tomwilson5452]

"bit harder"

[@aysdowne6358]

He looks like that guy who doesn‘t fit in but is extremely intelligent

[@arceustheo]

EXACTLY WHAT I ASPIRE TO ACHIEVE

[@rationalsceptic7634]

What a lovely,kind and brilliant man,sharing his passion for this beautiful and powerful subject.. thx..best wishes be safe tgc

[@harveygray907]

As an A-Level maths student who doesn't take A-Level further maths, the way I usually approach this is to use the discriminant (b^2 - 4ac) to prove that there are no real solutions to x and therefore the curve does not intersect the x axis. It's a quicker alternative way and its the method that the examiners would expect you to use because imaginary/complex numbers aren't in the A-Level syllabus.

[@nitinpramod4133]

Try the jee advanced exam (It’s the toughest engineering entrance exam in India ) And no calculators allowed This A level exam is kinda similar to 12th boards ( high school exam in India )

[@norge_indiankumar2264]

Jee was easy as compared to SCRA in 2012, is it still the same brother?

[@PegasusTenma1]

This exam is barely grade 10 honestly.

[@karnvirbhangu334]

Jee is in a different league this exam is nothing compared to it

[@nitinpramod4133]

@Goku 1080 Ti I never came across Integration and log Until 12th grade Unless if ur an isc student CBSE students have it in their 12th grade

[@PegasusTenma1]

@@nitinpramod4133 I studied integrals in 10th and logarithms in 9th

[@braunibald]

I didnt need math for 6 years now, I miss this so hard :D

[@ttfun4421]

same here, 6 years now and Im missing the thrill of getting a question solved

[@bazsnell3178]

But you need maths every single day of your life!

[@ttfun4421]

@@bazsnell3178 I miss the problem solving like calculus or matrix, not simple arithmetics

[@braunibald]

@@bazsnell3178 depends, the mathematical problem in my job as a business software developer are rly simple compared to university mathematics

[@ahsonyousef4636]

Seeing this after I have taken several Uni calculus/physics courses makes me chuckle... Why did this seem so difficult at the time? 😂😂😂

[@Paginski]

Because at the time it was

[@etrain757]

You could say the same about why 2 + 2 seemed so difficult at kindergarten for example

[@pixytorres7117]

@@etrain757 but it's even difficult for me now

[@albajasadur2694]

I took my A-level in 1994. Just saw this video by chance. I did do the questions along with you. A lot of fun. Thank you for bringing my memory back.

[@TomRocksMaths]

You're very welcome!

[@briandaoust1912]

At 15:26, the equation is already in vertex form. So you can read h and k right off of the equation.

[@d6853]

I find talking to myself (like you are in the video) perform much better at the questions, it’s a shame that you can’t do this in an exam hall :(

[@dynam1cdrox711]

Lip it, don't say it out loud.

[@ASMRJey]

Did that for the last 2 years if Highschool and I’ve never been better at maths. Truly works wonders to speak it out (silently of course) and rationalise it for yourself.

[@darenkaulsay8076]

Well you can, as we have to wear masks now whilst doing the exam

[@wixic111]

The challenge here seems to come not from the maths paper, but the calculator :D You forgot the magical s => d button to get the decimal!

[@ragnkja]

On my Casio fx-9860GII it’s F⭤D, and it’s the second button in the row that’s directly above the digits.

[@bluearrow3055]

Don’t know wtf ur on about since I’m still in gcse, I was watching this at 3 am cuz I ran out of things to watch, but I feel productive after watching this so thanks 👍

[@TomRocksMaths]

You're very welcome :)

[@soumyadipbanerjee2074]

37:26 In question 12 it said 0

[@santaclaus2480]

There should be more maths teachers like this, he breaks each element down to common sense.

[@robwsur]

I LOVED the video and your honesty during it. Finally a video where some almighty professor (not you, but other youtubers) is not showing one super difficult example on the board, but shows how he struggles a bit himself, f.e. with the calculator and takes it with humor. Thank you. Sometimes I was amazed how fast you derived the answer. Some I would have truly struggled with. Only at 15:06 you maybe don't need higher mathematics (differentiate) at all, since you know the roots already -> the min/max is always in the middle for quadratic equations, hence 9.

[@skeetsoflegend99]

This guy is too awesome to be real.

[@TomRocksMaths]

[@smittywerbenjaggermanjenso2814]

man, I was really good at integrals in school but after roughly 6 years in university studying literature and communication I had ZERO clue what to do in almost any of the tasks. Kinda sad how much you forget when you don't practice

[@awolgeordie9926]

Really enjoyed that on a Saturday afternoon.

[@t.m.p8187]

man just does intergrations and things ive never heard of in seconds makes me want to re-learn maths!