VCE Maths with Mr Lim
VCE Maths with Mr Lim
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Which VCE Specialist Maths Exams were HARDEST? (plus Methods, General and more...)
Link to Charts of VCAA Grade Distributions for 40+ subjects
10minutequiz.com/vcaa-grade-distributions/
More videos on VCE Specialist Maths:
0:00 How do VCE Grade Distributions work?
4:25 Which VCE Subjects are most (and least) popular?
5:15 2021 Specialist Maths Exam 2
16:57 2017 Specialist Maths Exam 1
Переглядів: 471

Відео

VCE Study Scores, SAC Moderation and Scaling - How it Works (2024)
Переглядів 61821 день тому
Link to my study score calculator: 10minutequiz.com/exam-and-study-score-calculator/ Link to VTAC documentation on study score scaling: vtac.edu.au/atar-scaling-guide-2024.html Link to VCAA documentation on SAC moderation: www.vcaa.vic.edu.au/assessment/vce-assessment/how-vce-assess/how-pages/Pages/StatisticalModeration.aspx 0:00:00 Intro 0:00:21 Moderation vs Scaling 0:01:16 VCE Study Score Sc...
Deceptive Complex Numbers Problem
Переглядів 338Місяць тому
Here is a nice complex numbers problem that is trickier than it first appears... A square in the complex plane has vertices at 1, i, -1 and -i. Prove that for any two complex numbers u and v within the square, their product uv also lies within the square. Here is the link to the StackExchange post about a polygon in the complex plane: math.stackexchange.com/questions/4892153/is-multiplication-o...
Hard MC Question from the 2024 Gao Kao (China)
Переглядів 1,6 тис.Місяць тому
This MC question on Functions and Transformations was Question 10 of the 2024 New Gao Kao Paper 1 (新高考一卷) Here is a link to the entire paper: www.gk100.com/read_24162430.htm
Specialist Maths - from 🍰 EASY to HARD 🔥
Переглядів 1,4 тис.Місяць тому
Specialist Maths - from 🍰 EASY to HARD 🔥
ALL the Integration Techniques You Need For Specialist Maths
Переглядів 8552 місяці тому
Integration is a large and important part of the VCE Specialist Maths course. The 6 techniques listed in the Study Design are: - anti-differentiation of 1/x to obtain log_e |x| - anti-differentiation using derivatives of inverse circular functions - use of the substitution u=g(x) - use of the trigonometric identities in anti-differentiation techniques - anti-differentiation using partial fracti...
Where are Secant and Cosecant on the Unit Circle?
Переглядів 4193 місяці тому
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions.
3 Key 🔑 Tips for Vector Proofs
Переглядів 5585 місяців тому
VCE Specialist Mathematics
3 Nice Vector Questions (Multiple Choice)
Переглядів 3085 місяців тому
3 Nice Vector Questions (Multiple Choice)
KILLER Complex Numbers Question (HSC 2023)
Переглядів 2,9 тис.9 місяців тому
This question from the recent HSC Maths Extension 2 Exam tests is on Complex Relations in the Argand plane. This is also covered in VCE Specialist Mathematics (although it's unlikely you would have something this difficult on your exam next week - I hope!). Good practice anyway if you're keen for a challenge. IMHO there is also an ambiguity in the question that I address at the end of the video.
Proof in Specialist Maths - Explaining the Basics
Переглядів 1,8 тис.9 місяців тому
This video introduces the Logic and Proof concepts in VCE Specialist Mathematics (2023 - 2027): • conjecture - making a statement to be proved or disproved • implications, equivalences and if and only if statements • natural deduction and proof techniques: direct proofs using a sequence of direct implications, proof by cases, proof by contradiction, and proof by contrapositive • quantifiers ‘fo...
2023 Spec Exam 2 MC Without Pen or Paper! 😲 (only CAS)
Переглядів 2,2 тис.10 місяців тому
2023 Spec Exam 2 MC Without Pen or Paper! 😲 (only CAS)
2023 VCAA NHT Spec Exam 1 - An Interesting Integral
Переглядів 56510 місяців тому
2023 VCAA NHT Spec Exam 1 - An Interesting Integral
Sum of Normal Random Variables Example
Переглядів 16910 місяців тому
Sum of Normal Random Variables Example
Hypothesis Testing - Explained Like Never Before 😎🤩🤗
Переглядів 42510 місяців тому
Hypothesis Testing - Explained Like Never Before 😎🤩🤗
Type 1 and Type 2 Errors in Hypothesis Testing #math #stats
Переглядів 1,4 тис.10 місяців тому
Type 1 and Type 2 Errors in Hypothesis Testing #math #stats
Distance Between Parallel Planes
Переглядів 867Рік тому
Distance Between Parallel Planes
Angle Between Two Planes
Переглядів 439Рік тому
Angle Between Two Planes
Angle Between a Line and a Plane
Переглядів 534Рік тому
Angle Between a Line and a Plane
Common errors to avoid in your Specialist Maths exams
Переглядів 2,6 тис.Рік тому
Common errors to avoid in your Specialist Maths exams
VCE Specialist Maths HARDEST Questions - Calculus
Переглядів 2,6 тис.Рік тому
VCE Specialist Maths HARDEST Questions - Calculus
VCE Specialist Maths HARDEST Questions - Complex Numbers
Переглядів 7 тис.Рік тому
VCE Specialist Maths HARDEST Questions - Complex Numbers
VCE Specialist Maths: HOT tips for the TI-nspire CAS
Переглядів 2 тис.Рік тому
VCE Specialist Maths: HOT tips for the TI-nspire CAS
CAS Calculator Tips for VCE Specialist Maths - Calculus
Переглядів 1,7 тис.Рік тому
CAS Calculator Tips for VCE Specialist Maths - Calculus
VCE Specialist Maths HARDEST Questions - Probability and Statistics
Переглядів 2,1 тис.Рік тому
VCE Specialist Maths HARDEST Questions - Probability and Statistics
UPLIFTING Trigonometry Song about the Unit Circle & Exact Values for Sin, Cos, Tan
Переглядів 1,9 тис.Рік тому
UPLIFTING Trigonometry Song about the Unit Circle & Exact Values for Sin, Cos, Tan
Radians? What actually IS a radian?
Переглядів 486Рік тому
Radians? What actually IS a radian?
UNDERSTAND the Trigonometry Exact Values for Sin, Cos, Tan
Переглядів 6 тис.Рік тому
UNDERSTAND the Trigonometry Exact Values for Sin, Cos, Tan

КОМЕНТАРІ

  • @rayanimad5672
    @rayanimad5672 15 днів тому

    Crazy how much impact the school you go to has on the study score. Why can't VCAA write sacs for each subject and make all schools do the same SACs?

    • @MathsWithMrLim
      @MathsWithMrLim 14 днів тому

      Yes I think the fairest would be a common exam at the end of Unit 3 and another one at the end of Unit 4. Not gonna happen any time soon though...

  • @aaausername
    @aaausername 22 дні тому

    Also, how much of an influence is the school you go to on your atar and study scores? I don't live in Melbourne so will this be a negative impact?

    • @MathsWithMrLim
      @MathsWithMrLim 21 день тому

      It's not so much to do with whether the school is suburban or rural, it's more the performance of the students from your school on the exam. For example, if you were in the bottom 50% of your school in the SAC and your school is the bottom 50% of the State in the exam, your SAC would be moderated to bottom quartile. It's the only fair way to do it.

    • @aaausername
      @aaausername 20 днів тому

      @@MathsWithMrLim Yeah, I guess there's not really any other way. Thanks

  • @aaausername
    @aaausername 22 дні тому

    Het, thanks for the video but the quiz isn't really up to date. My school is new so it is not available as one of the options and I tried another nearby school but it wasn't available either maybe because it changed its name about 10 years ago? Also, studio arts doesn't exist anymore it's now called Art - Making and Exhibiting and I noticed there was quite a few subjects missing like all the languages. Still a useful tool though for some subjects, so thanks for that. Also thanks for your explanations.

    • @aaausername
      @aaausername 22 дні тому

      Sorry I mean 'Hey', not 'Het'!

    • @MathsWithMrLim
      @MathsWithMrLim 21 день тому

      Thanks, I made some more updates and added a bunch of other subjects. School estimates are hard, especially for new schools and small schools. I used VCAA data from 2023 for the school list, so if your school is brand new this year then it won't be there yet.

    • @aaausername
      @aaausername 20 днів тому

      @@MathsWithMrLim Okay, cool. Yeah, my school only opened in 2020 with my year being the first so we won't have any results until the end of this year then.

    • @aaausername
      @aaausername 18 днів тому

      @@MathsWithMrLim Oh my gosh, thanks so much, I just checked and it now has my school! Thanks

  • @arjunkapoor5653
    @arjunkapoor5653 23 дні тому

    Are you the person that made the quiz? Literally every year 12 at my school (Ironically, Glen Waverley Secondary College) spends like half their time on it 😂.

    • @MathsWithMrLim
      @MathsWithMrLim 23 дні тому

      yes I made it. Haha Glen Waverley! I picked the right example then 😂

  • @bean6657
    @bean6657 24 дні тому

    Thanks Mr.Lim!!! 😜

  • @MathsWithMrLim
    @MathsWithMrLim 29 днів тому

    Q7 (arc length) answer should be D. Working in video is correct... CAS error!! Thanks @BrodieMitch for pointing this out

  • @BrodieMitch
    @BrodieMitch Місяць тому

    4:10 my cas is giving me answer C and I have no idea what I am doing wrong. I have copied you answer in twice and I am on radians but it still gives me the wrong answer

    • @BrodieMitch
      @BrodieMitch Місяць тому

      what, I switched to degrees and it gave me answer D but the cas in the video is on radians

    • @BrodieMitch
      @BrodieMitch Місяць тому

      the answer is C on the exam report

    • @MathsWithMrLim
      @MathsWithMrLim 29 днів тому

      You are correct. My mistake, thanks for pointing it out!!

  • @houbengui09
    @houbengui09 Місяць тому

    Pretty crazy

  • @Satyam-tf2do
    @Satyam-tf2do Місяць тому

    Honestly i didn't understand the chinese but i did understood ur explanation its tricky but ok type of question but ik gaoko is more hard than this much more ig u have my respect for solving them .

  • @houbengui09
    @houbengui09 Місяць тому

    Richard Zheng said hi

  • @ethann3887
    @ethann3887 Місяць тому

    great vid!

  • @hxpe.7342
    @hxpe.7342 Місяць тому

    I’d argue Q11 in MC is harder/more difficult to understand but Q10 does overlap well with VCE transformation knowledge😮

  • @houbengui09
    @houbengui09 Місяць тому

    THATS MY MATHS TEACHER

  • @mrniemathschannel
    @mrniemathschannel Місяць тому

    Russel, this is a surprising video…Never know you are interested in 高考!😂

    • @MathsWithMrLim
      @MathsWithMrLim Місяць тому

      Thanks Peideng, yes it's a fun challenge for me... I definitely don't envy the students who have to sit that exam!! 😅

    • @mrniemathschannel
      @mrniemathschannel Місяць тому

      @@MathsWithMrLim To be honest, from my own schooling/teaching experience in both Victoria and China, I would say the VCE MM/SM exams, in some ways, are harder than the Chinese math exams, in terms of the breadth of contents. There is only one place in China allowing calculator use for maths exam but only the scientific ones.

  • @YiDing-qf6dj
    @YiDing-qf6dj Місяць тому

    Great video on specialist mathematics!

  • @jaigowrershgovindan4857
    @jaigowrershgovindan4857 Місяць тому

    This exam is just a joke before jee

  • @leochinchillaa
    @leochinchillaa 2 місяці тому

    At 19:26 you said the answer was E But the point (b,1) is not on our line because f(b) = -1 ??

    • @jjazz3
      @jjazz3 2 місяці тому

      Absolute value of any function maps all negative y values to the same positive values. Basically every negative point is flipped about the x-axis. f(b) = -1, but since we’re looking at the absolute value function, it’s |f(b)| = |-1| = 1.

    • @leochinchillaa
      @leochinchillaa 2 місяці тому

      @@jjazz3 Real shit i did not see the absolute value sign my fault

    • @MathsWithMrLim
      @MathsWithMrLim Місяць тому

      You got it. Tricky question.

  • @raymondchang9481
    @raymondchang9481 2 місяці тому

    OMNOMNOMNOMNOMNOMNOM

  • @MKisJ
    @MKisJ 2 місяці тому

    excellent lesson thank you!

  • @gravy2973
    @gravy2973 2 місяці тому

    where am I

  • @soeunjeon5392
    @soeunjeon5392 2 місяці тому

    THANK YOU SO MUCH! This was so helpful

  • @jh1sc
    @jh1sc 2 місяці тому

    Also for the first question, could you have used the difference of two squares, for 1/2(AB+AC)(AC-AB) = 0 simplifying to -> 1/2(|AC|^2 - |AB|^2) ? And why are you able to just multiply by 1/2, when zero is on the other side???? thanks!

    • @MathsWithMrLim
      @MathsWithMrLim 2 місяці тому

      Yes difference of squares is fine, so long as you write the mod sign as you did. And the 1/2 won't make a difference, because as you say the expression is equal to zero

  • @jh1sc
    @jh1sc 2 місяці тому

    thanks !

  • @masterbettingtips2
    @masterbettingtips2 3 місяці тому

    Simplest method is the second one

  • @rinslow
    @rinslow 3 місяці тому

    so that’s why it called a TANGENT

  • @changspaman
    @changspaman 3 місяці тому

    Nice

  • @thesnackbandit
    @thesnackbandit 3 місяці тому

    Very nice. Great animation.

  • @cyberduck027
    @cyberduck027 3 місяці тому

    thanks! these videos are extremely helpful

  • @yesnt5133
    @yesnt5133 3 місяці тому

    Thank You so much for the explanations

  • @jayceel251
    @jayceel251 3 місяці тому

    This was such a nice video, hahaha loved the purple-haired guy. Thank you sir!!

    • @MathsWithMrLim
      @MathsWithMrLim 3 місяці тому

      And thanks to you too @lilydewdrop for your kind words ☺️

  • @user-zs3if8sy1w
    @user-zs3if8sy1w 5 місяців тому

    It's so much fun to go through these questions with you, like all the memories starting to come back. Definitely great work!

  • @edsirett3860
    @edsirett3860 7 місяців тому

    Quite often examination boards put a significantly harder question at the end of the paper. A well prepared student will be able to get a very good grade without answering it. The purpose is to sort the good from the exceptionally able. The press on another day might easily be critical of what they judge to be a question that is too easy, serving an analogous function for less able or prepared students.

  • @user-xi6rq6bg9d
    @user-xi6rq6bg9d 8 місяців тому

    this is by far the best thing i have seen , please keep doing this series

  • @glock8417
    @glock8417 8 місяців тому

    A u sub of u equal to ln(ln) would have been more effective here wouldn't it?

    • @Ezallium
      @Ezallium 7 місяців тому

      u = ln(lnx) du = 1/x * 1/lnx dx dx = xlnx du when x = e, u = ln(1) = 0 when x = e^2, u = ln(ln(e^2)) = ln(2) ∫e^{e^2} (ln(lnx))/(xlnx) dx = ∫0^ln(2) u/(xlnx) * xlnx du = ∫0^ln(2) u du = 1/2[u^2]0^ln2 = 1/2(ln2)^2

  • @law5
    @law5 9 місяців тому

    amazing 🙏🙏🙏 your videos are a godsend!!

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Thanks so much. All the best for your exams

  • @Surfingoose
    @Surfingoose 9 місяців тому

    So many tricks, real time savers! Thank you so much!

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      You're welcome surfing goose ! 😁

  • @FwappyDuck
    @FwappyDuck 9 місяців тому

    Really helpful definitely reshot my memory back for a few things. Also learnt a bit.

  • @crvtbhununun6012
    @crvtbhununun6012 9 місяців тому

    Without visualising, how do we know if we want the obtuse angle or the acute angle? Thanks.

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Convention is to always give the acute angle

  • @peterwang4628
    @peterwang4628 9 місяців тому

    For the 1% question, would it be necessary to say , Re(conj(a)) does not equal -2? Because if it is -2 which is on the line then B technically cannot exist right?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Nice observation Peter. You are correct, although we are probably fine without mentioning that. The question told us the line exists and said "find b in terms of a" , not "find all values of a and b for which the line exists"

  • @holdstill1232
    @holdstill1232 9 місяців тому

    for the first section where you were talking about proofs, will your conclusion "by induction, statement is true for all n elements of natural numbers" still be able to obtain a mark in the actual upcoming specialist maths exam?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Yes Holdstill, I think that final statement is clear enough.

  • @gag7413
    @gag7413 9 місяців тому

    im just a little methods kid why am i here

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Haha well if methods kids go on to study engineering they still end up learning complex numbers

  • @ussiowawarshipsblitz3577
    @ussiowawarshipsblitz3577 9 місяців тому

    Until my exam I think I may have to watch. this many times haha

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Thanks ☺️ but just watch each video once then do more practice questions!! 🤣

  • @user-oe6mu7yo4z
    @user-oe6mu7yo4z 9 місяців тому

    Thank you mr lim! I can remember them like this haha!

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      很好,你这样说我就满意了😁

  • @liemhuynh7657
    @liemhuynh7657 9 місяців тому

    Can’t x be equal to y though because the reflection is never truly on the horizontal axis?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Agreed. Well done and thank you for pointing that out. Again, I'm glad I didn't have to sit this exam! 😅

  • @hardstuck6200
    @hardstuck6200 9 місяців тому

    at 4:42, shouldn't arccos(1) = 0? thus leaving us with pi(0--pi) = pi(pi) = pi^2, as opposed to 2pi^2?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      You are correct hardstuck! The answer of 2pi^2 is correct, but i have 2 errors in the method. There is an x missing in the square bracket, which should have been x.arcos(x/2) (from part a.). Then error with arcos(1) you mentioned. These errors happen to cancel to give the correct answer.

    • @hardstuck6200
      @hardstuck6200 9 місяців тому

      ​@@MathsWithMrLim yep, I see that now. thanks for all the videos you guys do!

  • @perkinsons6913
    @perkinsons6913 9 місяців тому

    Hey what are your predictions for any hard questions to pop up for this years VCAA spesh exam?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Exam 1 probably a tricky integral - maybe surface area integral. Don't forget modulus when integrating logs or simplifying sqrt((ax+b)^2) - that's a common gotcha.

    • @evan.5967
      @evan.5967 5 місяців тому

      @@MathsWithMrLim wait how to simplify sqrt((ax+b)^2)

    • @Ezallium
      @Ezallium 4 місяці тому

      @@evan.5967 abs(ax+b)

  • @electrovortex7178
    @electrovortex7178 9 місяців тому

    Will we need to know Unit 1/2 content for the 3/4 exam next year?

    • @MathsWithMrLim
      @MathsWithMrLim 9 місяців тому

      Good question Electro Vertex. Unit 3/4 exams usually focus on Unit 3/4 content. Some Unit 1/2 content is also a big part of 3/4, such as complex numbers, vectors, proof. Other concepts such as logic gates, graph theory, combinatorics don't come up again in 3/4 so these are very unlikely to appear on exams.

  • @tompatterson3163
    @tompatterson3163 9 місяців тому

    🤪 'Promosm'

  • @petchx9843
    @petchx9843 9 місяців тому

    the goat

  • @pentatonic7663
    @pentatonic7663 9 місяців тому

    Love your content man! Entering 3/4 Spec next year and these are some good tips. Keep it up!