Watch me take the exam here: kzbin.info/www/bejne/noK5lKljiZx8n7s
@Hope4thebest69693 жыл бұрын
Lucky that KZbin recommended your video to me!!
@TomLeg3 жыл бұрын
This is great for 16 year olds to see math-expert adults working on their exams.
@missachin50543 жыл бұрын
It was even better to see that the paper they did was exactly identical to the mock I had today 💀🤣
@kaspervestergaard23833 жыл бұрын
@@missachin5054 Is this really for 16 year olds? Seem extremely difficult.
@missachin50543 жыл бұрын
@@kaspervestergaard2383 this is the easy stuff I’m gonna be honest 😂
@kaspervestergaard23833 жыл бұрын
@@missachin5054 Really? I know I'm bad at math, but this seems far from easy.
@chrysoz90313 жыл бұрын
@@kaspervestergaard2383 this stuff is actually pretty easy, what grade are you in?
@melysmelys26223 жыл бұрын
Discussing WHAT you should write down when answering exam questions is extremely useful to GCSE and A-level pupils. This video should be played in school Maths lessons. Thank-you so much.
@ranpancake3 жыл бұрын
was refreshing seeing how people who've excelled in maths take on a GCSE paper, nice one!
@SirCumference313 жыл бұрын
To get top grade (grade 9) on AQA 2019 you needed to average around 86% across 3 exams that included this one. Both Tom and Ben got above 90% so were on course for a 9 :)
@TheGCSEMathsTutor3 жыл бұрын
This is such a great video! I’m so glad I discovered your channel today, I know my students will find this kind of discussion incredibly useful! Keep up the fantastic content 😁🙏🏼
@floreaciprian97423 жыл бұрын
I totally agree. I dont use maths in my day to day job, but I do some at home out of passion. I had an absolute blast watching these videos and I'm sure that young students will too. The relaxed nature of the videos and seeing two teachers do what they will soon do in the future could be eye opening and motivating for them. Hope you'll have success with them
@chraketcm86083 жыл бұрын
My tutor gave me what was, for me at least, amazing advice when tackling exam papers. First thing you do, when the timer starts, put down all your stationery, and read through the paper. You will see many questions where you know you have the knowledge to at least tackle them, and also to do those ones first. If the first few questions happen to be ones that trip you up, you can get into a really anxious state so easily, when the rest of the paper may be fine for you. Going through the ones you're confident with first helps you settle so much better. Really helped me with my anxiety for exams :)
@TomRocksMaths3 жыл бұрын
this is excellent advice!
@ragnkja3 жыл бұрын
To anyone taking a real exam and tends to refine their graphs by drawing it in multiple strokes like Tom does: draw and refine it in pencil first, then trace the final line in pen and erase your pencil sketch. Even if you’re unable to completely erase it, the single pen line removes any ambiguity about which exact line you consider to be your final answer, and that ambiguity is the biggest reason they deduct points for feathering.
@wesleyml36823 жыл бұрын
When I was in school we would have gotten 0 marks if we drew a graph with pen lmao
@ragnkja3 жыл бұрын
@@wesleyml3682 Then use a heavy pencil stroke for the final line and erase the initial light strokes as best as you can. In any case, do your best to make it unambiguous.
@timothyaugustine70933 жыл бұрын
What I use is a curve ruler to draw the graphs perfectly without feathering lol 😂🤣🤣
@timothyaugustine70933 жыл бұрын
If it's a sketch, I'll just draw out the shape and label the points.
@wesleyml36823 жыл бұрын
@@ragnkja Of course! That's what I'd do, for the times when there was any difficulty, of course. :) Thankfully those days are long gone and in university I only ever need to plot using R and Python.
@enigma77913 жыл бұрын
It's pretty awe inspiring to see how a maths whizz brain works. Both you people are what I wished I was when doing O level maths all those years ago. Our young peoples maths progress is in good hands not just from your knowledge but your kindness and the way both of you are as human beings. Back in my day maths teachers instilled fear and were mostly grumpy, aggressive teachers that were only interested in the real high flyers of the class.
@charlieknight10163 жыл бұрын
Got my mocks in 2 weeks, coming in clutch Thanks Tom!
@TomRocksMaths3 жыл бұрын
Good luck!
@fzoid35343 жыл бұрын
I'm out of school for 15 years and had nothing to do with math directly anymore. No idea how I got here but I really enjoyed doing the test along
@TomRocksMaths3 жыл бұрын
awesome!
@millstonebarn3 жыл бұрын
What a brilliant video. Fantastic chemistry between you both, and super useful for students (or their teachers) in providing insights into the marking schemes used behind the scenes and therefore what is important. Well done do you both.
@TomRocksMaths3 жыл бұрын
Our pleasure!
@dullaf40992 жыл бұрын
No chemistry here, it’s mathematics only. Chemistry is an entirely different subject. Chemistry.
@costrix56972 жыл бұрын
@@dullaf4099 not funny
@TheFunfighter3 жыл бұрын
For the triangle and tangent problem, you could have also argued that the triangle can be cut down its symmetry line. That symmetry line is square to the remaining side AB. It's also a symmetry line of the circle, because it's a symmetric triangle in a circle = hits the center. So the same as the sqare line to the tangent in point C. AB is square to CO, CO is square to CD. = parallel.
@krystalcheung36823 жыл бұрын
I find it so intresting as just went on a trip with my class and ended up seeing him give a talk, then I realised I already knew him from youtube. Loved the talk about how maths can save the environments keep up the good work.
@TomRocksMaths3 жыл бұрын
Glad you enjoyed it today!!
@davidgould94313 жыл бұрын
55:40(ish) Ben is correctly explaining the Alternate Segment Theorem: ACD = ABC. I'm pretty sure that, in his "doing the exam" video, he said ACD = BAC (which is, in general, wrong) and was worried about not having used the isosceles property of triangle ABC. That last fact is what makes ACD = BAC. My suspicion is that Tom should not have awarded full marks here (Tom admits to not having followed the geometry - give the guy some slack: he's a brilliant mathematician but not a geometer). Perhaps I need to keep watching... (bad habit of commenting before the video ends) Having worked through the mark scheme, I am so, so glad that I don't have to mark these papers. Am totally loving this series of videos!! (Note to self: look out the A level ones).
@gk-qf9hv3 жыл бұрын
Question 24 iand 27 are straight forward if you use the Unit circle. And please note that the graphes that you two drew, are derived FROM the unit circle! Now I'm just being a math teacher :) But hey, I LOVE this video! Please do more..
@abbe234567893 жыл бұрын
You guys need to do another exam, this was great!
@missachin50543 жыл бұрын
It was great to see that the paper they did was exactly identical to the mock I had today 💀🤣. Yes they should do another, perhaps I’ll get lucky again 🤣
@TomRocksMaths3 жыл бұрын
We will - coming in 2022!
@jenni51042 жыл бұрын
@@TomRocksMaths Do English and let's see if the rumours about either numbers or letters is true 😂
@tenkochilante14353 жыл бұрын
would love to see you attempt the A level Math paper from Singapore, especially the H2 and H3 levels... really want to hear your opinion on these papers especially given that they are set by the same cambridge authority as the international/uk A level and yet they are so so different from each other!
@davidgould94313 жыл бұрын
Sorry about the excessive comments below. This was amazingly interesting. Blimey! Teachers marking these papers have a real job on their hands (I read the marking scheme because, well, OCD, probably). And the pupils taking these papers seem to have to learn an "exam language" where some keywords give a clue about what you need to do and in how much detail. I don't remember that from 40+ years ago when I was doing O levels (probably my age). I'll go now: I promise.
@craig12313 жыл бұрын
@38:00 A quick way to calculate the sum internal angles of any polygon is (n-2) * 180. Where n is the number of angles. Also for 3D geometry, F + V = E + 2, where F is the number of faces, V (vertices) and E (edges)
@hettvaya Жыл бұрын
thx i didnt know that!
@pm0neypenny3 жыл бұрын
I never thought I would like maths again after A-level and then Software engineering at uni but its kind of like car crash watching... I cant stop lol. Kudos Dr!
@pm0neypenny3 жыл бұрын
I mean that in a nice way btw I didn't mean it about your maths lol. Your both pretty amazing at your 1's and 2's
@fbijackson93083 жыл бұрын
I’ve been waiting for this video🤝👏
@davidgould94313 жыл бұрын
The unavoidable q20. The mark scheme also allows the dropping of the perpendicular from C to the midpoint of AB through the circle centre (it's an isosceles triangle) and that goes through the centre of the circumscribed circle (symmetry, but easy to prove if you are bored). So you have a right angle with AB and a right angle at CD, so internal angles add up to two right angles, so you have two parallel lines.
@marting13 жыл бұрын
Yeah. That line you can draw from C to the middle of AB is how i figured that one out. Once its there the rest is easy to spot the rest.
@navidtawsif96093 жыл бұрын
how to prove perpendicular from AB to C passes through center of circle?
@davidgould94313 жыл бұрын
@@navidtawsif9609 You'll need a pencil and paper to follow this: sorry. If only I could post pictures. This is might not be the simplest way to show that the perpendicular from the apex of an isosceles triangle to the opposite side goes through the centre of the circumscribed circle, but here goes: Consider an isosceles triangle ABC, with AB = AC. Let the centre of the circumscribed circle be O, then OA = OB = OC because they are radii. Triangles AOB ≅ AOC by SSS (AO = AO (shared), AC = AB (isosceles Δ) and OB = OC (radii)). Therefore ∠BAO = ∠CAO = ∠ABO = ∠ACO because of the congruence and Δs ABO and ACO are also isosceles (radii of the circumscribed circle). Let ∠BAO = α then ∠AOB = ∠AOC = (π - 2α) Draw OM perpendicular to BC where M is on BC. OB = OC (radii), so ∠OBM = ∠OCM. ∠OMB = ∠OMC = 90° by construction. Therefore ∠BOM = ∠COM = (90° - ∠OBM). Now, ∠BOC = 2π - 2(π - 2α) = 4α. ∠BOM = ∠ COM = 2α. ∠AOB + ∠BOM = (π - 2α) + 2α = π therefore AOM is a straight line and AM is the perpendicular from A to BC that goes through O, the centre of the circumscribed circle. QED. Edit: it might be quicker to assume the theorem that says the angle subtended by a chord at the centre of a circle is twice that subtended at the circumference. That gives you ∠BOC = 2∠BAC and then you draw OM and go from there. To prove that theorem, you basically do what I did above, so they are equivalent and my proof doesn't assume the angle at centre theorem.
@JordanTurpin_102 жыл бұрын
It's weird watching this now knowing I had sat this exam 3 years ago, doing it now and seeing the little mistakes I had done back then recorrected by myself. Great video series otherwise for people doing either gcse or a level maths seeing someone higher doing it
@richardfarrer56163 жыл бұрын
For cos(x) = sin(60).tan(30), you can solve by remembering tan = sin/cos and sin(90-x) = cos(x). sin(60).tan(30) = sin(60).sin(30)/cos(30) = sin(60).cos(60)/sin(60) = cos(60). Therefore x = 60, even if you don't know the values for sin and cos at those angles.
@tobiasnewland829811 ай бұрын
This is an amazing Maths conversation. Regarding Question 20. If you remove the Isoceles condition that AC=BC. Then the Chord formed by AB can go through a whole variety of angles to the tangent CD. If for instance AC is tiny and BC is maximised then the angle will be almost 90 degrees. Likewise is BC is tiny and AC is maximised it will be -90 degrees. If you imagine a whole series of possibilities for the chord AB it will form a continuum between +90 degrees and -90 degrees according to the different lengths of AC and BC. Halfway between these two possibilities (+90 degrees and -90 degrees) there must be some combination of lengths of AC and BC where then angle between the tangent CD and the Chord AB is zero (ie they are parallel) It makes sense for this to be halfway along the diffferent possibiilties for the lengths of AC and BC when they are equal. This seems intuitive reasoning to me but I am not sure whether this would be a good enough proof to get the marks in this question.
@johnchessant30123 жыл бұрын
I definitely want to see you both attempt a Senior Math Challenge or BMO Round 1 exam! I think it'll be an interesting "not competition" if you don't immediately know how to solve every question haha
@aidanmcdonagh78613 жыл бұрын
Yeah watching Tom and Ben do one of the UKMT papers would be really interesting, those things were my nemesis! 😨
@Whales19923 жыл бұрын
The more advanced the questions the exams get, the easier it becomes for him to solve it. The only difficulty is him trying to remember basic maths equations to figure them out.
@esquilax55633 жыл бұрын
55:10 if you have an isosceles triangle inscribed in a circle, doesn't the line bisecting the triangle between the two equal-length sides necessarily pass through the centre of the circle? Which would make it perpendicular to the tangent line, and then the rest follows easily. Unless I've missed something here, it looks like the extremely wonky diagram they used has deliberately obfuscated what should be an intuitive fact
@davidgould94313 жыл бұрын
1:11:50-something. Tom asserts that he should have had the marks if he had differentiated (apparently not a GCSE thing - I have no idea, my maths O level (the then equivalent) was over 40 years ago). That reminds me of Mathologer (definitely a non-remunerated plug: subscribe to TRM and Mathologer and have multiple excuses to not do the washing up) who had, in uni, a proof rejected because it wasn't the one in the course (even though it was right).
@johngould32533 жыл бұрын
Cool name
@davidgould94313 жыл бұрын
@@johngould3253 Haha - I blame my parents.
@sampan043 жыл бұрын
Ay, was doing some revision to keep up my knowledge during holiday and now you come out of knowhere. Thanks!
@asamet20073 жыл бұрын
Great non-competitive math test video 👏👏 I just want to say that the last question is much easier than what you both thought: Cos(x)= sin(60) x [sin(30)/cos(30)] >> cos(x) cos(30)= sin(60) sin(30). >> x= 60. {because cos(y)= sin(90-y)}
@robertwoodruff84913 жыл бұрын
Read my comment, apparently you would have got 0 marks for this.
@asamet20073 жыл бұрын
@@robertwoodruff8491 why is that?! I’m 100% sure this correct, you can even prove it.
@robertwoodruff84913 жыл бұрын
@@asamet2007 Did you read my other comment I posted? I say the exact same thing. I even go into further detail explaining how cos(x)=sin(53) x tan(37) couldn't be solved the way they did it, but can clearly be solved this way. The problem is that the marking guide doesn't allow for it. M1 in the marking guide basically says you have to come up with values for sin(60) or tan(30) or cos(30) and sin(30). You have to come up with the actual values. M2 says once you have those values you have to use the values to find x. Writing down cos(x)=1/2 is enough to get the points on M2. But writing down cos(x)=cos(60) isn't. You can't get points on M2 without getting points for M1 it's "M1dep" Then to get points for A1 you have to write down 60 AND get points for M2. Don't believe me? Check out the marking guide: tomrocksmaths.files.wordpress.com/2021/10/aqa-83001h-w-ms-jun19.pdf So no points for you or me. 😞
@garyhughes16643 жыл бұрын
A question I’d love to see you solve is to find ‘r’ (sometimes written as ‘i’) in an annuity formula. I once tried to make each letter the subject in the formula, but got stuck with ‘r’, which appears twice, before being told by someone it cannot be done. I saw a video where a ‘brute force’ method was used to get an approximation of ‘r’, but I was quite confused as to what was going on. Yet it still baffles me why ‘r’ cannot be made the subject using factorisation and knowledge of algebra. The formula looks like this: A = P [(1+r)n -1/r] where n is a power. Pls consider solving this in a future video. By the way, really enjoy your videos and have learned a great deal from watching them.
@edwardnigma40333 жыл бұрын
18:02 smooth catch
@TomRocksMaths3 жыл бұрын
I'm glad someone noticed!
@djwilliams83 жыл бұрын
As a teacher, this was fantastic and useful!
@TomRocksMaths3 жыл бұрын
glad you found it so!
@gk-qf9hv3 жыл бұрын
Such a Great video! One of the best Math videos out there..
@TheArizus3 жыл бұрын
Yesss do a UKMT paper cuz it will be fun to see an oxford academic approach problem solving orientated questions
@Zonnymaka3 жыл бұрын
30:17 here we go again...it says "the triangular CROSS SECTION of a prism", not "this is the whole prism". Hence the volume of the given triangular cross section is equal to 51cm^3.
@zirkereuler52423 жыл бұрын
the cross section of a solid is a figure/plane, it doesn't have a volume
@jamesclewett5123 жыл бұрын
That was great fun, thank you both for taking the time to do that. Based on the tutoring that I have done, I think that's really useful for GCSE maths students to watch. (I couldn't agree more about the circle theorems, I hate the GCSE syllabus for doing this, what is it trying to achieve?)
@topilinkala15946 ай бұрын
I remember an exam where first part was limits and second part was derivatives. Because the time was generous and I kinda knew I get trough the exam with spare time I decided to work it little differently. I first proved Hopital's method and used it to solve the limits. I got F from that part.
@gk-qf9hv3 жыл бұрын
Quadrilateral has 360 degrees because you can always divide it into two triangles. Quite a surprize that you could not figuer this out .. But I love the openess!
@JT-gr3wp3 жыл бұрын
Bro shush
@jonathanm95453 жыл бұрын
Do a video on the Irish leaving cert maths paper and compare to A level paper.
@TomRocksMaths3 жыл бұрын
it's on my list, thanks!
@AndrewWebbLFC3 жыл бұрын
Person who disliked is the 4th friend who wasn't invited to the party
@scragar2 жыл бұрын
Re: sum of internal angles I always imagine something I was shown as a kid where you just add a triangle to an existing shape such that a side matches and all the internal angles would still add up for the new shape and since you replaces one side with 2 it's a net change of +1 side. Triangle + triangle = square, so must be 180°+180° = 360° Square + triangle = pentagon, so a pentagon must be 360°+180°=540° Etc.
@gtanz84753 жыл бұрын
Parents (who are teachers) and School Teachers are the MOST IMPORTANT PEOPLE IN SOCIETY.
@eoghanmeehan43933 жыл бұрын
It would be interesting to see you do the Irish leaving certificate maths exam too
@RTNB8843 жыл бұрын
Please do videos about math high school and how to improve math skill in high school
@dexterhh26813 жыл бұрын
I feel smart now I was 1 mark off a Dr of Maths score on a maths exam when I was doing my GCSEs
@fatsquirrel753 жыл бұрын
Feathering penalty should be for students trying to sneak an obviously wrong answer through by having different lines go through different points and appear to be one graph. Here it was very clear what the intended line was. Harsh marking was harsh.
@TheFunfighter3 жыл бұрын
Grading scheme of a physics prof I had: Perfect answer = 3 points Perfect answer, no unit only in the final answer = 2 points Anything else = 0 points
@syedrehanfida3 жыл бұрын
I'm excited for another series! :D
@SteenWinther2 жыл бұрын
I can't believe that you both still are complicating 20a) when it is dead obvious that a line from C to the midpoint of AB goes through the center of the circle and is therefore perpendicular to both AB and the tangent through C. (It does helps to draw the figure accurately).
@FManga183 жыл бұрын
In Q20 I didn't use that fancy theorem, I drew the perpendiular from C to the centre, so we have that the angle we care (the one equal to x and therefore the two lines are parallel) + another angle (let's call it y) is 90 deg. Now y is an angle on the base of an isoceles tirangle with "big" angle 2x (it insits on the same point as the startign triangle and therefore is the double). So y=(180-2x)/2=90-x but then 90=y + angle we care=90-x+angle we care=> angle we care=x
@alexanderzack37203 жыл бұрын
i remember when i learned about sin, cos, and tan we neither had those triangles nor any graphs. my teacher just gave us a paper and said "here are some important to know numbers for sin and cos. learn them" .... i don´t have to explain i already forgot those exact numbers, the only thing i remembered was "yeah sin60 was one of those numbers i had to learn"
@AceOfHearts0012 жыл бұрын
I would have awared the mark on the graph Q. I would look at it and think the students first line wasnt going through the points so he drew a second line and it wad clear you drew large crosses at the correct points to show the correct intend line. It is difficult to cross out graphs lines close together... definitely not gona penalise on that if I was an examiner
@andyonions78642 жыл бұрын
Standard form is a number between 1 (inclusive) and LESS than BASE times a power of BASE. BASE in this case is 10. Floating point numbers (in computing) are the same format only the base is 2 and the power represents a shift value. (There's also a strange bias usually). The double line on the reciprocal graph (which I saw you making in the previous video) looked like an issue to me. Had you infilled it bold, you might have 'got away with it'. The simplify fully is a bit rough, but 4 and 6 do have a common factor... I somehow got to Comp Sci degree level without knowing the difference of squares identity, but I used the sum of squares identity months later in commercial programming to optimize multiply to 3 square look ups. I've been teaching my son some O-level maths and the alternate segment theorem cropped up. Again, news to me. It's said, you wouldn't ask Einstein to do a simple calculation, so the special case looks fine. Overall what strikes me most is that marking these things is way harder than doing them. I now have an appreciation that the marking system is remarkably fair. Nice video guys.
@AceOfHearts0012 жыл бұрын
DCA = BAC due to "alternate angles" btw.
@nguyenkhoanam73863 жыл бұрын
Letsss goooo, TOM you are an actual math giga chad
@tarunsinghshekhawat86923 жыл бұрын
TRY JEE ADVANCE MATHS paper
@jellyfishguitar41633 жыл бұрын
Hello Tom, it is fascinating to watch these kind of videos! I live in Hong Kong and we have Public exam call the HKDSE. You should try doing it :)))). There are many practice paper or past paper in the Internet :)))
@TomRocksMaths3 жыл бұрын
thanks - added to my list :)
@k24118713 жыл бұрын
Wonder if the good professor will try the Putnam Maths Exam?
@cronus7903 жыл бұрын
Could u make a highschool math exam of december from Belgium? From 11th grade, field of study ‘Wetenschappen Wiskunde’ or in english ‘Science-Math’ 11th grade is the hardest year in belgium and only a few people pass this math exam, the really smart people get like 60%. Average people get like 20%-30%. In my school only 2 people passed the 11th grade of this field of study and are now in 12th grade. Im in 11th and have to take this exam in december but i just heard its the most difficult exam in highschool
@hammerth14213 жыл бұрын
I love how both of you are complaining about GCSE "command words" the same way I am complaining about them in the German A-levels equivalent. Even worse, some of those are used in multiple subjects but mean slightly different things in each.
@Darkraz2 жыл бұрын
Great personalities very enjoyable to watch
@TomRocksMaths2 жыл бұрын
Glad you enjoyed it :)
@bluerizlagirl2 жыл бұрын
Ben, I totally agree with you on mixed integers and ratiometric fractions! They are as obsolete as Roman numerals. By all means leave ratios unsimplified to preserve accuracy during calculations, but there's no reason to describe something like 5/2 as anything besides 5/2 or 2.5. All real-life measuring instruments -- rulers, voltmeters, weighing scales ..... --- read decimal fractions anyway ..... #RealLifeIsDecimal Also, "engineering notation" is a special form of exponential notation where the exponent is always a multiple of 3 so as to line up with a measurement prefix. For example, 589 * 10 ** -3 as opposed to 5.89 * 10 ** -7.
@jjim69962 жыл бұрын
Could u do AS level exam walk through pls?
@SaurabhSharma-ot6yw9 ай бұрын
Hi I sat the o level in maths very long time ago. Are there any websites where I can get past GCSE further maths for free?😊
@howdoes82423 жыл бұрын
I really wanted to do my ug studies at Oxford but unfortunately because of personal issues i couldn't. I hope that i can do higher education at Oxford
@TomRocksMaths3 жыл бұрын
fingers crossed!
@davidgould94313 жыл бұрын
1:07:40 and thereabouts. I was genuinely shocked when they both drew sine graphs to try to figure out values of sine(whateveritwas). Someone (sorry, can't remember who: google is your friend) once remarked that trigonometry is not about triangles: it's about circles. It might have been 3blue1brown. Or not. Or maybe I'm remembering something else. There was this sin/cos thing, and they did'nt draw the 2/1/√3 right angled triangle to get the sin and cos of π/3 or π/6 I'm probably over-thinking this. And, as usual, being annoying.
@davidgould94313 жыл бұрын
Look who can't correctly punctuate didn't!
@davidgould94313 жыл бұрын
And at 1:14:37 Ben is doing the triangle thing. I guess it just shows how our brains make too many short cuts when under pressure and just do the first thing they think of. Which, in the case of my brain, was posting those earlier, er, posts.
@helms65613 жыл бұрын
Oh man do I have doosey of a video suggestion for you. -using Simpson’s method in order o find the centroid of an airfoil. -me and my senior design group were stumped for about 5 hours on it.
@timkw3 жыл бұрын
35:56 you can always split a quadrilateral into two triangles with 180 deg each, so it would be 360 deg for any quadrilateral Just saw 38:01
@euromicelli59703 жыл бұрын
For Q10, without marking/scoring guidance I had penalized Ben because he drew the curve all the way through x=5 and missed the correct value of Y(5) by 2. I’m glad to see the guidance is precise enough that it clearly states that this must be ignored.
@generalkentuckygk42593 жыл бұрын
Just remember that there are 2 triangles in a quadrilateral. So there are 360 degrees
@eyeofthasky3 жыл бұрын
the word perimeter CANNOT be applied to incomplete circles as they do not have a perimeter, they r just arcs with a specific length, so to ask for the arc length is the only valid question. to ask about the perimeter is like asking about the hight of a wooden rod -- as its cross section is round, there is no hight vs. width -- one might get what u talk about, but its _intrisicly wrong_
@davidgould94313 жыл бұрын
Sorry, guys: I'm being a super-grumpy old man tonight. At about 1:08:00 you both agree that, when looking at sin and cos, the graphs are helpful. I'm not a professional mathematician nor a maths communicator but I don't find squiggly lines terribly informative. Especially when it's super-hard to remember which starts at 0 and which starts at 1. On the other hand, the unit circle is easy to draw, to an acceptible level of accuracy. Then you only have to remember that cosine is the x axis value and sine is the y axis value and you are good to go. As a bonus, it reminds you that you get the same sine or cosine value every time around the circle.
@fatsquirrel753 жыл бұрын
Remember the small angle theorem. For small values of sin, the answer is approximately the value. So for zero, sin is zero. Makes drawing sin very easy. Or remember Tan is sin/cos, and that tangent is rise/run. Then picture the unit circle. When angle is zero the rise is o, the run is 1. So sin 0 = 0, cos 0 =1
@bradc72153 жыл бұрын
i retook a maths paper higher the other day , ive been gone for 3 years now out of school and i still got a B which im shocked considering i forgot so much stuff
@pfcsantiago88522 жыл бұрын
Have you given O level a go from back in the day ?
@DinizEngland3 жыл бұрын
My faith in humanity has been restored. Nerds worldwide should do this stuff from AI/Machine Learning to Programming, Medicine, Quantum Computing, Law and Aircraft Technology.
@Nonametopissyouoff2 жыл бұрын
I'm having a hard time adding 1+1 so I'm really not sure how on the bloody universe I got here. I'm very confused especially since I watched the whole thing...
@TomRocksMaths2 жыл бұрын
as long as you had fun!
@entekaontwitch33613 жыл бұрын
i have a question…as a high school student i obviously have math that i’m required to answer later on in high school…and i understand the information. Actually i comprehend it to the point where it becomes mental math most to all the time…but after about a month i aways completely forget the information , like i go from it being easy as possible to not having anything “up there” any way i can fix that
@shaun24633 жыл бұрын
Yes, do not go an entire month without using it.
@Willabrador3 жыл бұрын
Brilliant thanks both!
@lib-center963 жыл бұрын
This felt like a typical maths exam in Singapore.
@ImDoubleDelight3 жыл бұрын
Writing really good questions and allocating marks is a highly refined skill. Poorly written questions lead to poorly constructed mark schemes. 1 mark should be awarded per concept, calculation or demonstrated skill.
@anishrawat37823 жыл бұрын
BTW from where did you get the T shirt in UK. It's really cool
@TomRocksMaths3 жыл бұрын
I think this one was from Topman
@shirleythomas99213 жыл бұрын
56 mins - alternate angles, not corresponding angles
@owen71852 жыл бұрын
How do you mark at Oxford Tom?
@alexanderzack37203 жыл бұрын
while this is very interesting and decently entertaining i have to ask: when you graded the other´s paper, did you do it from knowledge, look it up again to refresh memory, or did you have the correct answers lying around to check
@TomRocksMaths3 жыл бұрын
we used the official mark scheme
@Anonymous-vo8ks3 жыл бұрын
Could you make a video on coaltz conjecture and reimaan's hypothesis :) It'll be interesting to see those topics explained by you kkk
@mysteryguitarhaziq3 жыл бұрын
Im new to thischannel and im wondering is there any basic elementary maths lessons
@shaun24633 жыл бұрын
Search KZbin for "Circle Song" by Dave Mitchell. Thank me later.
@shirleythomas99213 жыл бұрын
Foundation tier students are expected to know sin cos tan of 30, 45, 60.
@velectro89633 жыл бұрын
Wait really? I'm doing higher and I don't know any of those values. Would you mind telling me if you knew of what higher tier students are expected to know?
@harrisonbaguley56913 жыл бұрын
i know in edexcel you're expected to know sin, cos and tan for 0, 30, 45, 60, and 90 degrees. idk what aqa wants from you
@pieTone2 жыл бұрын
Bruh it says drawing a curve not drawing a straight line
@StevoPvP3 жыл бұрын
What does the long number tattoo on your right bicep mean?
@TomRocksMaths3 жыл бұрын
it is the first 120 digits of the decimal expansion of e
@davedogge22803 жыл бұрын
It's the sort of maths exam that Albert Einstein would fail. Imagine a top C++ programmer being asked to sit an exam on binary division calculated by hand or assemly language etc
@Galaxian44443 жыл бұрын
Nice video. You should try a Scottish higher maths exam.
@TomRocksMaths3 жыл бұрын
it's on the list :)
@anmolsinghi50373 жыл бұрын
why is q18 wrong? it looks correct to me
@sanuda39713 жыл бұрын
DO AN IB HL MATH PAPER!!!!
@H1289-h8o3 жыл бұрын
They’re easy
@kainxjm3 жыл бұрын
Can’t believe MGK and Russel Crowe are doing a collab
@darthdoka3 жыл бұрын
hey could anyone help me find Tom's amazing 'after hours' shirt?
@TomRocksMaths3 жыл бұрын
I think this is from Topman
@robertwoodruff84913 жыл бұрын
Did he imply that a student would be marked down if they proved it without using the alternative segment therom? Which is doable??? That hardly seems fair! Also discussion on the last question kind of annoyed me. I need to go back and see how they did it. None of that seemed necessary. All you really had to do is realize tan(30) is sin(30)/cos(30) and sin(30)=cos(60) and cos(30)=sin(60) Substitute and simplify to get cos(x)=cos(60). Would love to have seen the marking guide on that one. Edit: I went and looked at the marking guide, and I if I'm reading it right I would have gotten 0 marks for solving it the way I did, which is absolutely ridiculous in my opinion. But I would love to hear an argument as to why I'm wrong. I think an argument might be made that since I got tan(30)=sin(30)/cos(30) a kind hearted marker might have given me M1 but probably not since I didn't finish it off with (1/2)/(sqrt(3)/2) I still feel like their penalizing students that understand the relationship between the sin and cos of complementary angles. I mean change the numbers let's say they gave the equation cos(x)=sin(53) x tan(37). It's completely solvable without knowing the sin or cos of 53 or 37. Certainly they wouldn't expect you to know those values, but they still might expect you to be able to solve the problem. But because a student solved the problem they gave the same way they would solve this one, they are going to penalize them?
@cdmpd11623 жыл бұрын
Is this the mock paper for yr11?
@TomRocksMaths3 жыл бұрын
sure is!
@basedhutao7752 жыл бұрын
Fun fact: my teacher taught me the differentiate and i used it in the exam
@adamlabnaki92163 жыл бұрын
I think Tom's should be marked again by an independent Edexcel examiner for further controversy...Part III