Oxford University Mathematician takes Australian High School Maths Exam

University of Oxford Mathematician Dr Tom Crawford sits the HSC Mathematics Standard paper taken by high school students in Australia.
The paper in the video is the 2023 version of the exam from the New South Wales region. You can download the exam paper and mark scheme for yourself at the links below.
2023 Standard Maths: tomrocksmaths.files.wordpress...
Mark Scheme: tomrocksmaths.files.wordpress...
The exam paper and all questions contained within are the property of the New South Wales Government. Material is used under a 'fair use' policy for educational purposes.
Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: www.conted.ox.ac.uk/profiles/...
Watch Tom take other Exams on the designated playlist here: • Exams
A-level Maths: • Oxford University Math...
A-level Further Maths: • Oxford University Math...
GCSE Maths: • Oxford University Math...
GCSE Further Maths: • Oxford University Math...
SAT Maths: • Oxford University Math...
Cambridge University Admissions Test (STEP Paper) Part 1: • Oxford University Math...
Cambridge University Admissions Test (STEP Paper) Part 2: • Oxford University Math...
German Maths Abitur: • Oxford University Math...
IB Maths: • Oxford University Math...
AP Calculus: • Oxford University Math...
For more maths content check out Tom's website tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
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Get your Tom Rocks Maths merchandise here: www.beautifulequation.com/col...

[@TomRocksMaths]

Watch Tom take exams from around the world on the designated playlist here: kzbin.info/aero/PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl

[@DjastinFaiht]

Omg, Tom… are you flipping us off on the thumbnail??? 🙈🙉🙊

[@SlyNicolai]

@TomRocksMaths I have a serious question ! Why don’t you change your expander to an ears plug ore tunnel ?

[@TheAussieLeo]

I believe you did the "Maths in Society" version. You did the equivalent of the O level, not the A level.

[@steinanderson9849]

Hello Tom sir, please do a maths extension 2 exam - this is the top HSC math level in NSW

[@mariavanwyk3863]

Take the actual hardest test and let us know than 😂😂😂😂😂

[@noahhosking495]

Standard 1 math is the basic course in NSW, the most advanced high school math course is math extension 2

[@Ken-er9cq]

It basically covers mainly things that students should have covered by year 10. They are things that people should know. Unfortunately I’ve heard that the raw score is 30%. It really is painful for people who need basic maths, for example builders doing quotes, who have trouble with things like areas.

[@jimybobjim]

Yea it goes standard 1, standard 2, advanced, extension 1 (you take this at the same time as advanced) and extension 2 (only for year 12 students)

[@TsarNicholas2nd]

@@jimybobjimsome schools has Numeracy which is even more basic

[@dat581]

Back when I did Year 12 in NSW (1996) we had 2 Unit Maths, 3 Unit was more advanced and 4 Unit was the highest level. There were two levels below 2 Unit but I can't remember what they were. If you did 4 Unit you did the 2 and 3 Unit classes. 2 was the base with 3&4 as addons. I wonder if much of the content has changed?

[@Ken-er9cq]

@@dat581 I think they had Maths in Society, or as students described it Maths in Space.

[@horseios3655]

Can you please do HSC Maths extension 2. its far more difficult than this and I think we would all love to see you attempt it

[@haythamibraheem589]

Plus one 😊

[@StoicTheGeek]

For sure. Complex numbers, more interesting integration, it’s all good. (Assuming the syllabus hasn’t changed in 35 years, lol)

[@vincent4805]

Yep, we do learn calculus and complex numbers in Aus

[@chrisk283]

Could be a stretch for him 😂😂

[@MdJabed-zm6bf]

HSC😂.Do IAL FURTHER MATH 1 2 3 S2 S3 M2 M3.Then you will understand what actually math means.

[@reggrunow1460]

This is the most basic maths standard that kids can take in NSW. That is, the kids who don’t do well at, or have no need for difficult maths.

[@ryanclayton6496]

This isn't our top Maths. This is the easy math

[@trekkie-cat]

I have dyscalculia so this is very hard for me.

[@Myrkzz]

@@trekkie-cat ok

[@theowenssailingdiary5239]

Yes we know, but this should be the easy maths for 16 year Olds. Its bloody embarrassing.

[@trekkie-cat]

@theowenssailingdiary5239 it's not easy for those of us with dyscalculia.

[@IdontknowV]

Please take the VCE Exams like the Mathematical Methods 3/4 exam and the Specialist Mathematics 3/4 exam; they’re the tough ones.

[@qntonio]

i wanna see him do a spesh exam

[@antonc81]

Methods is easy. Spesh is still kinda easy .. just more interesting.

[@Saaaammmm]

@@antonc81 we cant all be that smart anton 🙃

[@antonc81]

@@Saaaammmm to be honest I think the problem is the quality of maths teaching in Australia. Especially in earlier years. Smart people graduate from school thinking maths is about committing arbitrary processes to memory by rote, leather than the application of logic and reasoning, or creative problem solving. They have this belief because of the way maths was taught to them.

[@weiweimangaming6209]

nuh uh math extension 2 > spesh

[@mcmontage6151]

bro flipped us off in the thumbnail thinking we wouldn't notice

[@goldCrystalhaze]

Thank God you also noticed, because I thought my mind was dirty 😉

[@ronniexpro]

@@goldCrystalhaze same

[@Josephile.]

LMAOOO

[@Rose_Castle]

Literally has a tattoo pointing too it as well.

[@rhettboy1]

Glad to see you did the one with simpler mathematics but better real world applicability. For the other end of the spectrum it would be fun to see you work through the extension 2 paper

[@DADADRTR]

In 1982 I didn't pass this one, but now I'm a senior electrical engineer, managing a diverse team for a major organisation in Canberra. For anyone doubting themselves (imposter syndrome?) it's never too late to learn & realise your potential; particularly if you're AuDHD like me.

[@wobblysauce]

And just like a NSW test... there is no Melbourne.

[@tf-lv4zu]

lol managing a team doesn't require too much maths

[@DADADRTR]

@@tf-lv4zu yeah, you're right, as long as you keep up to date with EIRP, G/T, RAM & MTBF calculations to maintain understanding of the teams work, it's plain sailing; like riding a bike or doing fourier transforms. 😉

[@ragaloft]

Tom, As a father of two children, one of which is about to sit this standard maths exam (the other will do the advanced version), I couldn’t agree more that the real life practicality of the questions shines through. Despite the apparent simplicity of this lower level exam, I feel there are (sadly) many adults that lack these life skills. Great video. Thanks 🙏

[@Pax.Alotin]

Speaking of real life --- Very annoying how there is a gap between the numbers -- Also pretty hopeless - how the so called 'bank statement' doesn't make it clear - which are debits vs deposits Nor can you tell if the 'interest' is a charge accrued on the debt or to be treated as interest gained. That's why bank statements have THREE columns not Two. ----- Grrrrrrrrr

[@amazinggrace5692]

Told my husband I was watching an Oxford professor take an Australian math test and he was having a blast. He understood why it was fun ….for me lol.

[@fi77er]

To find 10% GST (goods and services tax) simply divide the price by 11.

[@skyro3420]

Please try either the Advanced paper or Extension 2 for this Australian HSC math paper!

[@samsam21amb]

*NSW, all the other states have different exams and different names, in qld, we call it the Methods, General, or Specialist paper

[@josephcarney295]

standard 1 is the lowest level of maths offered in NSW. standard 2, advanced, extension 1, and extension 2 are all courses in NSW more difficult than standard 1, as an extension 2 student, I would love to see you attempt a past exam, the last question is always notoriously difficult.

[@Dcmazters]

Hey Tom, if you’re going to do an Australian exam either do specialist math or extension 2

[@davidliu3463]

which one is harder?

[@sjholmesbrown]

@@davidliu3463 About the same. Different states (Vic / NSW) but similar material.

[@superDavid12341]

@@sjholmesbrownhave to disagree - it’s quite well known that extension 2 is significantly harder (though the marks scale to be about the same)

[@vezei1857]

@@davidliu3463 definitely extension 2, though it's really just a tiny amount of content with extremely unfair questions at times and you are allocated like 3 minutes to solve them.

[@srinath6247]

Never have I ever seen a video that required the need of using my brain for an hour and 20 mins. This was my first.

[@michaelturk9625]

Hi Tom. Nicely done. This paper is the lowest level of (effectively) 6 levels. Your deduction was correct, this paper is for students who are not undertaking tertiary studies, and insufficient for vocational/post-secondary education in trades or occupations requiring more than minimal mathematics. By the way, did you notice a hint of interstate rivalry in Q15? Hint: Which state's capital city is missing! As a matter of background all NSW high school maths students are expected to be proficient in the use of an approved calculator, (usually a Casio fx..AU model). Also students are usually encouraged to look at the end of the paper to use a supplied formula sheet (quite short for this exam, but four pages for more advanced). When I first started coaching NSW HSC students after school in mathematics, I was very surprised by the variety (and complexity of more advanced papers) of the discrete mathematics as in my high school, undergraduate and postgraduate study I only came across PERT/CPM networks for use in project management.

[@seajay20]

Yeah, no Melbourne (but as another city of rivalry, ie Adelaide vs Melbourne re Aussie Rules Football, etc), no big deal. But I was perplexed that the flights to various capital cities wasn't actually "real world". Yet, not having Melbourne could mess that up. It wasn't long ago that we couldn't fly from Adelaide to Hobart (well Tasmania in general), and had to fly from Melbourne... although Launceston was the place I had to fly to when on a tourist bus trip around Tasmania, starting & finishing at the top of the island state.

[@Rose_Castle]

I assume it was due to Qantas cutting their number of domestic flights in favour of long haul international :P

[@KoiMorris]

Great job on that exam! I loved the practicality of the questions in the exam s well. All math exam papers at the end of high school level education should be like that, especially if one is not going to university afterwards. That exam shows students things that could actually come up in their life and that they may need to work out for themselves. That exam was the easiest one I've seen you do.

[@hamedaw4610]

Please try VCE 2023 Math Specialists Exam, this is the hardest Math exam in all of Australia. The one you completed was standard - basic math!

[@mountain2366]

extension 2 is harder

[@ethanslatter8331]

They are the same thing - they just have different names in different states.

[@joceelee]

Some Australian schools have the International Baccalaureate, so there is a more difficult exam.

[@jamieb2759]

@@joceelee HSC Ext 2 is more difficult than IB HL

[@LithinHariprasad-vg3yr]

Tom rocks, Always rocks.

[@JansthcirlU]

giving us a cheeky finger in the thumbnail I see also, missed opportunity to collab with Eddie Woo!

[@mrhassell]

I love the choice of finger, used to scratch that inquisitive chin of yours! :-) bravo!

[@braynaguilar8567]

Interesting choice, I would have thought you'd have a go at the extension 1 or 2 papers; nonetheless, still great to see Australia being represented in this channel!

[@danielol1362]

I’m currently in high school in South Australia, would love to see you have a go at the 2023 Stage 2 Specialist Maths exam. It’s our hardest maths here and has some vector calculus questions which I hear are quite difficult.

[@JazzyKex78]

My son who is just 11 loves Mathematics like his dad. He loves to watch Dr Toms videos. He’s just doing his sats and he’s loved doing past papers etc. keep encouraging Dr Tom ❤❤❤

[@oenonut]

This is awesome…I don’t feel so dull for the version I did 20 yrs ago. But you’d be marked down on your workings in a few spots….point 6 of the general rules. Could get the answer right but the workings weren’t clear…and that was at level 2 extension! It was brutal! Appreciate it now.

[@jakobandrews2096]

Would highly recommend checking out the specialist math exams from any state (preferably the 2021 Queensland exams cuz those are the ones I took). They are the highest level of math currently offered to the average public high school student

[@DailyDoseofSpace.]

I was literally searching for someone attempting the HSC maths papers! Can you do advanced, extension 1 and extension 2 next please? I think these are more comparable to the A levels in the UK!

[@jeid2313]

Great vid! I'd love to see you try the NSW Ext 2 exam now! Its notorious for its last question for every exam (although good luck with ne calculator!)

[@markwith140]

I worked out a q1 to q15 in my head and came out with the same answers as you...then I had to go and do something else 😅. I like the practicality of the questions.

[@ST-co7yt]

Great results!

[@zachylevi1203]

Hi To,. great video. Any chance you could do the mathematics extension 2 exam paper ? Kind regards.

[@chrissherlock1748]

Your list says Ad maths, but this is standard maths

[@rashido]

Please do an extension 2 paper! That would be awesome!

[@mc_lara2230]

I did the australian NSW HSC advanced maths exam. I was convinced (as so many others are) that advanced maths would open so many more opportunities for me. Advanced maths subjects and higher did not have the same practical applications of maths as standard did. Im now studying Marine Biology and have rarely come across basic maths in my degree. I woe the loss of practical maths i never learnt. So many life lessons and everyday math concepts i was never taught :( Of course i have the ability to figure these things out for myself, but i would have greatly appreciated having been introduced to these topics during school

[@jesskate1991]

Would love to see you try the different levels of the Victorian (Australia) exams. We have three levels in VCE (Victorian Certificate of Education). General Maths is your base level, Maths Methods is slightly more complex and Specialist Maths is the most complex taught in our curriculum.

[@amazinggrace5692]

My answer is: I’m glad I graduated high school in 1976. I still have my slide rule. Yes we used them. We were allowed by my senior year to take tests with calculators. I think the SATs allowed this also. My AP calc exam also.

[@Adam-ct4li]

So you were kind of right - last year only 5,285 students sat that paper. Compare that to the 31,394 students who sat standard 2 (a slightly harder paper, but still quite tame) and the approximately 19,000 students who sat one ore more of the advanced, extension 1 or extension 2 papers that year (in my opinion the extension papers can contain harder questions than A-level maths, although there is much less content)

[@hammy5124]

"I need to use a calculator Goddamn it" that hits 🤣

[@seajay20]

Wow, this was so different to my "Maths 1S" exam for Matric (Matriculation) in South Australia in 1982. I was waiting for Calculus and other such things. That's the stand-out in my memory from Matric Maths - ie Calculus, with equations taking columns & columns of Maths workings, plus a 4-quadrant graph to work out. I shudder at the memory, and never understood the reason for imaginary minus quadrants of a graph. It never made sense to me (although I was good at the workings out), but I was never going to go to university at the time... although I did end up going to uni 20yrs later, but not for Maths. Having said that, in the primary school teacher training, I did have to re-learn primary school maths as a compulsory subject, and it's amazing how much I needed a brush-up, and yet how much had advanced from my time in primary school in the 1970's. Anyway, from memory, I've never seen such a real-world Maths exam like this one before. It's definitely not at all like doing Calculus with imaginary numbers and negative quadrants on a graph.

[@nomad5195]

Standard 1 is the most basic HSC Maths, downside is the coarse is "non-ATAR", so you can't used its mark to get into University. Standard 2 is what most people do, similar to S1 but the content is a lot more in-depth, you can use this make to get into Uni. Advanced is what I do, functions, calculus that sort of thing. Extension 1 is similar to advanced but a lot harder, if you want to do this , you need to be doing advanced as well. Extension 2 is an invite only coarse for the best Ext1 student, it can only be done in year 12.

[@colbyandbrennen3543]

Felt like I needed to be an Oxford University Mathematician for some questions in ATAR

[@proshooters1]

Would love to see you do the irish leaving cert Maths higher level exam paper 1 from last year 2023 it was on the news about how complex it was and students were not properly prepared for it u could take a look at paper 2 aswell

[@Zone_Ranger]

For Q20: Tukey's rule for outliers is any number outside (Q1-1.5*IQR , Q3+1.5*IQR). It is not the median +1.5*IQR.

[@Siopc]

15:40 The easiest way for me to remember what mode is, is the “mo” stands for most often. Just a tip if anyone wants it!

[@benkelley8161]

@Tomrocksmaths This is the standard course, what was known pre 2001 as veggie maths (google NSW HSC veggie maths). Typically this level of maths was aimed for students not intending tertiary studies, hence why every question was applied. These students would typically (pre 2000) be going on to vocational studies (trade school) or straight into the work force, but still completing year 11 and year 12. NSW HSV Advanced 2 unit is typically what is the (previous) requirement for anyone doing any tertiary studies so would be approximate UK A levels, or Germany's Arbitur. 3 unit is for those going into STEM tertiary studies and 4 unit (extension 2) was for those with an advanced math interest. Comparing an exam that is basically ISCE3 (this) to exams that are ISCE4 is (GSE/Arbitur/AP/SAT). Its all very confusing now (post 2000), because there was a huge push to widen tertiary education, and it doesn't neatly align to any UK/US/EU model or system. I don't know of any schooling system that teaches calculus to hair dressers, laborers and truck drivers, and you haven't done any maths that would be on offer for students considering that. Its an interesting paper, because it is applied, and even with out complex pure algebra or calculus. If you do HSC extension 2 you will run out of time. Eddy Woo seems to take double the allocated time, and has an offsider checking his answers. Doing applied questions is interesting. I wonder if you have tried doing a few different Physics papers, to see if maths alone is enough to solve questions that exist in most physics papers.

[@MindlessWanderings]

just passing, but as someone who, in decades past, did the NSW advanced and extension 1 and 2.. Wow, I didn't realise how easy standard math was.(if you do do advanced you do it instead of standard).. this honestly felt like maths done in junior years (some slightly more difficult stuff in there but still very basic) I'd love to know how significant it would be for university access (atar these days) between standard and advanced because if I was a kid not taking extensions I think I may stick with standard and ace it rather than risk losing a few on advanced. (though I presume a lot has changed since I did this stuff)

[@ila9063]

I don't think this is the equivalent of what maths standard used to be. They've changed the system and the current standard level is actually what used to be known as general maths.

[@vezei1857]

pretty sure this course isnt eligible for getting an atar, as I think you need to take at minimum maths standard 2. But yea maths standard is mostly built off of year 7 - year 9 maths and doesnt really go too much beyond that (they do stuff like networks which people always joked 4u students couldnt do, as we were never taught it).

[@chocolatte7736]

@@vezei1857There’s a slideshow titled “HSC Mathematics Standard 1: Information for students”. It says that if you choose to take the optional exam by the end of the year, you can get it in your ATAR.

[@ilyer4199]

This information is current as of a few years ago, but most university courses requiring maths generally have mathematics advanced as a prerequisite. I don’t remember seeing one course requiring standard/general mathematics and the same goes for extension maths 1 & 2.

[@JamesCalliss5184]

I graduated two years ago and the SACE (South Australia) system does essentials (this test) then standard, then mathematical methods, and the top is specialists maths

[@inari.28]

exact same here in Queensland except standard is called general maths :)

[@burnd7426]

Could you do a Singapore A level H2 math paper or O level A math paper.Their known to be rather challenging

[@user-sv5yy4oh1y]

Please try VCE Specialist 3/4 or Methods 3/4, I suggest to 2023 methods exam and any year prior to 2023 for spec :)

[@steve--smith]

You need to do the Australian Victorian VCE maths methods exam. Way higher standard. Or the exam for specialist maths.

[@seznibrien8525]

Did this to test my maths, and on question 2, I'm like, "What question are you doing" 😂

[@ArtwithNethu]

Not tom casually flipping us off in the thumbnail 😂

[@perx8063]

Hi Tom, The toughest exam is extension 2 nsw maths exam . If you can please do this one ? This was is mid level exam . Your fan from Sydney Australia 🇦🇺

[@jimybobjim]

Standard 1 is the lowest level of math someone can do

[@fr33kSh0w2012]

In High school in year 7 and 8 we were Adding, subtracting, multiplying and dividing USING Different GEOMETRIC SHAPES!

[@GilWright]

Studnets are given a specific definition of outlier (along with IQR) and encouraged to draw box and whisper plots. .... the 1.5 x IQR was right and you came up with it!

[@Siopc]

Hi Dr. Crawford, can you please sit an Irish Leaving Cert Higher level paper please? (Final exam in last year of secondary school) I sat ordinary level but I’m curious as to how you would do it. Assuming you haven’t done it before. Thanks

[@EmmsterGD]

Higher would be more fun. Last year's paper was an absolute joke

[@Siopc]

@@EmmsterGD Yeah I had friends who sat it 😂

[@juliebeans7323]

Ther's another exam set if you can get hold of it - the numeracy and literacy exams for prospective primary teachers in Australia.....So many failed but i found it fairly easy.

[@cherielocke6333]

It would be lovely if you could work through a specialist maths and a maths methods paper. These papers have an emphasis on mental strategies for parts of the papers.

[@shenysys]

the only problem with the plane flying direct from Sydney to perth - it flies south below Melbourne then across the Great Bight where as the plane from Perth to Sydney would fly further north of Melbourne. Roughtly about Adelaide it would fly in land. So not if it is the same distance both ways. Having wasted time on the website that allows you to track current planes in the sky.

[@markoreilly3414]

2 questions in, & im laughing at Oxford's entry requirements ! Our Species is DOOMED !

[@johnallen3555]

cheeparse didn't tile under the sink for Q19 you are supposed to solve the equation for x (with y as being 23)

[@mikimimi2895]

there were some answers where working out wasn't fully there, or units of measurement were not present, which would take some marks off (knowing and remembering from my own experience as an Australian student)

[@c0nf1dent1al]

The gulp you do after every question gets me every time 😂😂

[@ragad3]

You know what else is practical? A calculator…

[@davetaylor4741]

I have never been particularly good at maths. Passed Oxford O level. That is as good as it got. Can't believe I just sat and watched this entire video non stop. It dragged me back many years. You are the complete opposite to my last maths teacher at Grammar. He had been a Captain in the army in the second world war. Nearly all the teachers were ex officers in the services. My English teacher was a Colonel. Somehow I think your teaching style would be somewhat different. With less shouting and abuse.

[@CarnivoreCalculator]

You still get full marks on the outlier portion. If I were grading, I would award student full points, but would mention they kind of got lucky that it was still within their slightly modified application using IQR. But it doesn’t seem like the exact cutoff for where outliers occurs was part of the criteria

[@yashbatish]

Please do the VCE Mathematical Methods or Specialist Mathematics exams. They're the challenging ones!

[@paradoxica424]

please take the mock trial exams associated with Bored of Studies

[@shenshen8369]

Could you try to do Hong Kong DSE MATHEMATICS Extended Part Module 2 (Algebra and Calculus) past paper please?

[@paulrichardson5892]

really enjoyed that clip. i was sitting next to a maths graduate at a trivia night . a question came up sq.root of 169 i said 13 the maths guy didnt know. !!!

[@karlmikko]

I didn't see any comments on the Petrol vs EV question. Australian Statistics puts an average petrol car (avg in australia is commonly a small SUV) at 11L/100km the paper had 8.9L/100km. So petrol car cost more than suggested in this paper. The purchase price for petrol is pretty accurate (maybe a little low, depending where you are) for when the paper was set. As far as the EV is concerned, the stats is a bit harder to come by as they are so new. Most people if charging at home overnight could easily charge for 25c/kwh or less. If they had to use public charging (rapid on the motorway etc) could pay up to ~69c/kwh. Some public chargers (at shops/pubs etc) are as low as 25c/kwh but are slower, but still possible to not charge at home for this rate. As far as efficiency, the best I have found is an SUV EV being 17-22kwh/100km. The paper I think said 18kwh/100km so it is pretty good estimate but on the better side, just as they did on the petrol usage.

[@barbararowley6077]

Back in the now scarily far off days of the 1980’s, when I was finishing secondary school, Maths was split into Pure and Applied. Even then Applied Maths exam questions were presented as real world scenarios. Lessons at younger levels also often used a puzzle format, with solving various equations/trigonometric identities/etc. providing letters to solve an acrostic or the like. Every effort possible was always put in to engage students with Maths in as enjoyable a way as possible.

[@unfluffedcloud8055]

Would love to see you try the Singapore H2 Math Alevels

[@dorsia6938]

HSC math extension 2 is the very hard one.

[@tada3399]

The Victorias Test is VCE specialist maths exam. They hare the hardest in Victoria

[@codyblayney1354]

Can you please try either extension 1 or 2 maths exams??? I did them last year and they're much more interesting. Thank you!!

[@rolf5932]

You should really try the dutch VWO (highest level high school) exam. There is maths A and B with B being more difficult with algebra and A a little more statistics. Would be really interesting to see how you do.

[@sukiie6236]

Pls do the extension 2 hsc paper

[@GilWright]

The HSC (Higher School Certificate) is the final stage of school in the state of New South Wales. Mathematics can be taken at different levels - Standard Maths (2 Units) is the lowest level. Extension 1 (an additional unit to give three units) and Extension 2 (total four units). The exam you completed was the Standard (base course) exam. Would love to see you tackle the extension papers as well. I believe extension 2 students don't actually do the 2 unit paper - it is just assumed knowledge.

[@pat.2076]

Please do the Extension 2 paper from HSC

[@eoin474]

Tom would you consider doing an Irish leaving cert maths paper ?! Thanks !!

[@strawbzie4803]

you should do VCE specialist maths, that's the hardest there is in Australia!

[@sammij7863]

This was easier than my final exam back in 1972

[@jadevlatkovic558]

I havent done much maths since highschool, so it's kinda weird seeing you do maths. it used to be so easy. You sound do the extention 2 exam (4 units), it's been a while since ive seen some imaginary numbers~ It goes, standard (2 unit), advanced (2 units), extension 1 (3 unit) and extension 2 (4 units). It is compulsory to do at least 2 units of both math and english, with a total of 10 units being used to calculate your atar. If anyone was curious.

[@HI-hb4wj]

Please try Hong Kong DSE 2023 Paper 1 or Paper 2, it would be interesting.

[@chrissherlock1748]

For question 21 it would have been good to show the compound interest formula

[@MrCLAASS]

This is a lot easier than the exams I did 20 years ago. It is a grade 7 exam when I was that age.

[@PBMS123]

31:00 I think that's a false correlation causation example as well. Whilst drownings and temperature might be correlated, its not causative. What would be causative is that temperature and number of people swimming is both correlated and causative. And the causative link is between number of deaths due to drowning, and number of people swimming.

[@julianelischer6961]

This is the maths class for kids that are going on to a career of fast food manager. . try the "specialist" and "methods" (WA). which are two separate units that are supposed to be done together.. there you will do the Calculus etc. HSC? is this year 10 or 12 in NSW? looks like year 10 at most

[@frankryan2505]

An exam for budding tradies! Love it

[@xanthefai]

Do a VCE (Victorian version) Specialist Maths Unit 4 exam. Or even just Maths Methods unit 4.

[@rmsgrey]

I would have marked that at 77/80. I would have given the mark for the question about the potential outlier (correctly identified as not an outlier using a reasonable test) but not the mark for giving features of the data rather than features of the graph. Other comments on the video: --- The holiday home could well be a rental rather than an owned second property, which would bring it much more into normal experience. --- To systematically find the shortest route between two given nodes in a network, you start by labelling the start location with 0, then iterate by: for each unlabelled node adjacent to at least one labelled node, find the minimum of (adjacent label plus distance along the connected edge) across all adjacent labelled nodes, find the minimum value across all those unlabelled nodes, and label that node with that value. That will systematically label each node with its minimum distance from the start node. Once you label the destination node, you know its shortest distance, and can backtrack to find the shortest path by iteratively looking for an adjacent node that is precisely the connecting distance closer to the start. There is one detail I glossed over that's done in practice to speed things up, and that's to temporarily label each node with its current minimum value - that way, when you label a new node with its permanent label, you only need to look at its connections and apply or update temporary labels to its unlabelled neighbours before finding the minimum temporary label to make permanent rather than recalculating every time. There's another modification that's commonly applied when you're not expecting to need to find shortest routes from the current start point to other destinations, and that's to add a heuristic value to each node that underestimates the distance from it to the destination in such a way that adjacent nodes' heuristic values always differ by less than the distance between them. Then, when you decide which node to label permanently, you choose the minimum of (shortest_distance_from_start + heuristic), meaning you bias toward nodes closer to your destination rather than wasting time on nodes that are too far away to possibly give a shorter path by the time they've connected back to the destination, even if they're closer to the start to begin with. Applying that modification gives you the A* ("A star") algorithm, which is the standard default algorithm for route-planning (actual route-planning algorithms differ to take advantage of domain-specific knowledge, or to bound complexity at the risk of not finding the actual optimal route). --- Speaking of networks and decision maths, a minimum spanning tree is a subset of the edges of a network that connects every node of the network (indirectly) to every other node, and minimises the total length of the entire subset. Common examples are things like utility networks, where you want to connect everything with the minimum total amount of wire/pipe but aren't too concerned with the shape within that (in practice there are usually additional considerations, but in theory, total distance - or total of some cost metric based on distance - is the only concern). --- For the ice-cream question, you could have converted the approximate answer of 32 degrees into the correct one with reasonable confidence by observing that 0.936 is between 1 - 1/15 (0.9333...) and 1 - 1/16 (0.9375), so the error is slightly over 2 degrees and the correct answer to the nearest degree would be the actual answer of 34 degrees. --- This is purely a stylistic concern, but for the fuel cost question, I'd have worked out the cost per 100km for each fuel source, and then taken the difference between them to get the savings per 100km then multiply it up to get the savings for the actual distance. It doesn't make much difference for the single, isolated calculation being done here, but if you want to consider variations, changing the annual distance traveled seems more likely than changing the running costs of the cars being considered. --- On the nutrition question, I have a quibble with the question, and would not have given 318g as my answer. If you assume that the percentage of RDA values are being given to the nearest 1%, the RDA for carbohydrates (to the nearest gram) is somewhere in the range from 294g to 347g. Without assuming additional precision in the data given, you cannot say more precisely than that what the RDA is. Taking account of the human fondness for round numbers, I would be reasonably comfortable saying that the official RDA is one of 300g, 310g, 320g, 330g, or 340g. I would be astonished if the official RDA was actually 318g. For reference, Google suggests that the RDA for carbohydrate here in the UK is 260g, which would make 19.1 7% to the nearest 1%, so the figure used for that label is definitely different. My actual answer would probably be something along the lines of "[direct calculation] gives 318g, but considering the implied precision of the data [calculations for 5.5% and 6.5% to give bounds] gives a range of 294g to 347g". I probably wouldn't take the time to opine on the most likely values being multiples of 10g. If marking, I would comfortably give full marks to that answer, and argue with my supervisor over what to give an answer that didn't include the calculation for 318g but did give the range of values.

[@phantomxyz_7171]

pls do the extension 2 paper

[@RyanPuccetti]

Please do the SACE 2022 Specalist Mathematics Stage 2 exam

[@Phoenix-qt6et]

what's the app you're using on the iPad?

[@florianbuerzle2703]

1.5 IRQ from the upper quartile, not from the median 🙂

[@Eggcellent_Sandwich]

Can you do the maths specialised exam? (Tasmanian equivalent to maths extension 2)

[@jenniferharrison8915]

Yes, good idea! 👍

[@MustiStudious]

Do the specialist WACE or VCE exam, VCE from wut ive been told is harder, but im in WACE and its pretty hard.

[@shinnyii]

I mean definitely a math exam, but I think you shouldve done a harder one, Mathematics Specialist or Extension Unit 2 perhaps.