2022 VCAA Further Maths Paper 1 Suggested Solutions V2 | MaffsGuru.com
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- Опубликовано: 15 сен 2024
- 2022 VCAA Further Maths Paper 1 Suggested Solutions V2 | MaffsGuru.com
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These are my suggested solutions to the 2022 VCAA Further Maths Paper 1 Examination. I am not affiliated with VCAA and have no inside information. This video is not endorsed by VCAA .
I love doing these videos and recording content to help all students. Thanks for watching and thanks for subscribing. Please help me by letting your teachers know that I have my own website at www.maffsguru.com with great VCE content!
NOTE:
I know there is already some debate about Q1 from Core. I have no idea what the correct answer is. I can see merit in both of the suggested answers. I think it's a pretty tough and crappy first question for a VCAA exam. We will see what happens in the future.
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thanks for taking the time to do these videos - don’t know what i would’ve done this year without them!
You are more than welcome!!! Thanks so much for your support and comment. Please let people know about my content. It would mean the world to me!
maffs guru, i just want to say you really helped me this year, there were so many times where i was on the brink of failing and you really helped. I honestly could not have done this exam without your videos. Thank you!!
No!!! Thank you. Thank you for your comment and the time and support you have given me. Wishing you the very best of luck for Monday. Let me know if there is anything you need help with. If I can ask that you email your teachers and tell them how useful my content has been - and let all your mates know - this would be the best thing I could ask for!!!
this video is great for people like me who havent revised at all! thanks mate
Really glad that it has been helpful! There is another video encoding now. Which might also help :)
Cheers mate, once again with the quality content! I and many of my students eagerly awaited the release of this video for cross-checking our papers and watched v1 on release. Thanks again for your videos and website, sucks that we won't see you on Edrolo next year but we'll continue to recommend! See you in Exam 2 and the new study design 2023-2027!
Thanks so very much for this amazing comment. I really appreciate what you have written. Are you sure you're actually talking about me LOL. I just sit in a room and talk to myself!!!! I would really appreciate you recommending the content to as many people as possible. The more teachers who know about it, the more likely they are to use it. I just don't think that too many people know about the content. Wishing you the very best of luck on Monday. Let me know if I can do anything to help.
just want to say you really helped me this year, there were so many times where i was on the brink of failing and you really helped
I did very little!!! You did all the hard work :) So ... well done for making it through the year!!! I hope you are enjoying the summer holidays.
Love you MaffsGuru! Thanks for taking the time out of your day to help us! UR THE BESST
You are more than welcome! Thanks for taking the time in leaving a comment. I've just recorded some edits to the paper and will upload it later today. I'm pretty confident all the answers are now correct!
Thankyou for all your help this year! thought this exam was pretty challenging.hardest one I've completed from vcaa by far. first question really made a lot of people lose confidence and doubt themselves for the rest of the exam! shame :(
You are more than welcome!!!! Paper 1 was a LOT harder than Paper 2 and I agree that the first question was not a nice one at all. I imagine VCAA will say that people over thought it, but will wait and see. Wishing you the very best of luck!!!
For Q21, this is the textbook definition: “compound interest rates are usually quoted as annual rates, or interest rate per annum. This is called the nominal interest rate for the investment or loan”
According to this, the nominal rate is therefore the % per YEAR. So statement 3 would have to be incorrect as it calls the 1% per month the nominal interest rate. It should say that 12% nominal rate is equivalent to a COMPOUNDING rate of 1% per month
Just to add, the textbook also says "a nominal interest rate is converted to a compounding interest rate by dividing by these numbers [356,52,26,12,4]"
Therefore the 1% per month would have to be called the compounding interest rate. It is not correct to call it the nominal rate.
This is going to be one of those questions which is going to be debated for a long time :) Thanks for your comment and explanation. I'll spend some more time thinking about it over the course of the next few weeks.
Thanks so much for the help throughout the year!!!!! Your videos have taught me countless helpful formulas that have saved me so much time!!!! Really wish you were my own teacher 😅
You are more than welcome. If you want some of my videos then you could argue that I was your teacher for part of the year LOL. Wishing you the very best of luck for Monday
tysm maffs guru, ur an absolute academic weapon
You’re too much!!! Thanks so much. Please let people know about my content. If you can tell your teachers about my content it would mean the world to me
thank you so much! all your exam worked solutions have been super beneficial for my exam prep! keep up the great work.
You are more than welcome. Thanks so much for leaving a comment. Wishing you the very best of luck on Monday. Please let me know if there’s anything else I can do.
Pretty mid exam. Question 1 are you serious VCAA? Looks like I got somewhere in the low 30s out of 40 so not too bad thanks for your suggested answers Darren :)
You are more than welcome. Keep smashing it for exam 2. I’m still conflicted by some of the questions so there might be another version in the next few days!
thank you for the solutions! our school has your channel linked on class pages so hopefully your website keeps growing!
No. Thank you for taking the time in making a comment. I really appreciate it. Also really appreciate knowing that your school is using my resource. Really wish that lots more schools out there would, but I’ll take what I can get LOL. Wishing you the very best of luck on Monday.
Thanks for this. Q3 in Geometry should be .385 x area of circle, not area of triangle. You just did the wrong symbol
...the rest of the answer is correct
Thanks Joel for letting me know! I’ll update them soon and upload a new version! Really appreciate the feedback.
I was going to email this to you but couldn’t find an email on your webpage.
You’re very brave doing this. I haven’t looked at the entire paper but I agree with your answer to 1 (But it’s a poor question as “Approximately” is not defined.)
Full solution to Q8 Graphs and relations. You can’t do it by sliding lines around etc.
A Let a = 2 and b = 1. (Z=2x + y) subbing in almost any 2 of the eight possible points disprove this say, (2, 12) and (2, 14) X
B Since a is positive (4,10) will always give a larger answer than (3, 10) X
C Let’s use the Z function Z=2.1x + y. At (2, 14), Z = 18.2
At (7, 4), Z = 18.7 X
D Z= 6.1x + y At (2, 12) Z = 24.2, at (3, 6) Z = 24.3. Obviously choosing any other x co-ord will give a bigger answer since its coefficient is 6
E. Will not work if b is large and a is small. Can disprove by letting a=1, b= 200 and subbing in (3,6) and (6,4) X
I can’t thank you enough. I don’t really teach the linear. So that last question was a little bit more tricky than I expected. Your work solution is gonna be so beneficial. I’ll redo the question at a later date. I also asked myself at times why I record the solutions LOL. But people seem to think that they are okay and help.
Not a problem. I'm a retired teacher who tutors so I need to be able to cover all the Further modules as well as methods and spesh!
also the very last question is d, since (2,12) will always be the first integer solution for the minimum when a/b is greater than 6. The graph does intersect a bit earlier but the intersection does not give an integer solution.
Thanks for your comment. As I said in my video, I haven’t taught linear for many many years, so I had to try and teach myself in 30 minutes. Happy to be wrong on this one. Will go and do a little bit more work on it.
it is e
@@callumoneill9010 how
With Question 21, is it possible for something to compound once every 2 years or longer, as if so then the effective rate would be lower than the effective interest rate. also with the very last question i believe that D is correct, as say if you made the gradient -8, that will be the minimum, as well as any other gradient greater than 6. Thanks for making the video :)
Hi Corbin. My understanding is the compounding periods are per year. So I don't think you can compound over multiple years. It's certainly nothing I have ever come across when teaching further maths. I know that it's not possible to have an effective rate less than a nominal rate which would suggest that you are looking per year. Nominal rates are given per year. So I doubt you will compound over multiple years.
Thanks so also for the comment about the video being good :) It's nerve wracking doing these videos as I open myself up to the potential for a lot of abuse!!! But I do it because I want to help as many people as possible :)
People have also been really kind about the last question of Linear. I haven't ever taught the module and so the whole sliding line and objective function stuff is a mystery to me!! So, D was the correct answer. I just need to work out why lol
Correct answer to the last question is D.
Can disprove E by letting a=1, b= 200 and subbing in (3,6) and (6,4)
Thanks for letting me know. I will update the video in a couple of weeks time so that people, next year, can use it for reference. I'm also going to take more time to learn the content from this section lol.
good job on explaining question 8 in measurement and geometry
Thanks! Really appreciate the comment.
Thank you so much Maffs Guru for sharing the answers!!!
You are more than welcome! If it helps people, then I am more than happy to do them. I'll hopefully release my suggested answers for the exam on Monday late Monday evening. Wishing you the very best of luck! Let me know if there is anything I can do to help.
If you out question 21 into the Calc, the 3rd statement is false (the nominal interest rate function)
i agree answer is only 2 that are true
This is what I thought as well
That’s not correct. I did a very similar question from a VCAA NHT exam in 2008/9 can’t remember and statement 3 was correct according to the report (wasn’t a multiple response q though)
Again. I agree with NR. The nominal interest rate function on the CAS (if I remember rightly) turns an effective interest rate into a nominal one. I don’t think it can be used in the way you suggest.
I believe statement 4 could also be true, this is because if you have a nominal rate that compounds every 2 years the effective is lower than the nominal, however i believe statement 3 to be false
Please do one for exam 2 too please as soon as you can. Thank you so much!
Editing it now. Should be live later tonight.
@maffsguru how longgg
Literally have kept refreshing page every 5min
@@acenam55 It's being checked by RUclips now. It will be live at the following link when it's been checked and processed: ruclips.net/video/rk1u64szh0c/видео.html. Wishing you the very best of luck!
Hi, as a maths tutor I agree with everything you said. I thought Q1 was E, approximately symmetrical. However, the only one I would disagree with would be Linear Relations Q8, as if the gradient was for example -7 or -8, then the minimum wouldn't occur at (3,6) however if a/b > 6 then the minimum will always occur the point (2,12) so I chose D for that one.
Thanks so much for you comment!! I don’t like question 1 lol. I don’t teach linear and so taught myself the topic in like 30 minutes. So, in the question I say that I’m happy to be wrong. I need to spend more time looking at it. By the end of the video having recorded for 3 hours, I was shattered lol
I did the exam myself and I agree with you. Mr Smyth failed to recognise that x and y could only be interger values so D must be the correct answer. Everything else in the video was well done as far as I can tell though.
Yup. I don't really have much knowledge for Linear and so stuffed up the last question but will record a V3 in the future to make the answers "correct".
@@MaffsGuru Yep, all good. I honestly just skimmed through your video to double check my suggested solutions I gave my students. I didn't like Q1 either!
@@MaffsGuru Perfect!
For question 21, the effective interest rate can be lower than a nominal interest rate if the compounding period is over a year right?
Hi. No. Effective interest rates can never be lower. Interest rates never compound for more than one year. It was a trick question.
thank you so much for taking the time to make these videos. You have absolutely made a world of difference to my exam results. You're a mini celebrity to us now haha, would love to buy you a coffee (and get a selfie too 😁)
Thanks so much!!! I really appreciate the time you've taken in making the comment and the really nice things you've said. I'd love to meet up for a coffee and a selfie LOL. I'm sure you would have smashed it without my help!!! But please - let me know if there is anything I can do to help before the exam on Monday. Wishing you the very best of luck :)
@@MaffsGuru For my own reference at home I circled my answered in the question book as well as shading the exam sheet. Geometry Question 8, I got all the working correct and then circled D 35 NOOOOO I'm devastated Darren haha
I also informed the head of maths she needs to boycott Edrolo and get on Maffsguru lol
You are correct. I am wrong with this one. I don't teach Linear and so had to do my best with a 30 minute crash course. And I got the answer wrong. Everyone is telling it's D.
Go you! If every student who watched this video and use VCE Discussion Space/Reddit did the same, then I would be able to help many more students than I currently do!!! I hope you have some sway with the Head of Maths then lol
Maffs Guru you're the GOAT
I am very humbled to read that you think I might have done something to help you :) Fingers crossed it has been helpful! Wishing you the very best of luck tomorrow. Please let me know if there is anything more I can do to help :)
thank you for everything that you do!
You are more than welcome!!!
Thank you - It is brave to put up answers on the internet but it does give the rest of us a means to check our answers. Q1 is a line ball call - I went A, my friend is adamant that it is E.
I wonder why I do this to myself each year. But it seems to help lots of people and it sparks some great debate!!!
Thanks Darren! I have all the same answers as you for Core, Matrices and Networks.
Awesome!!! Then we are either both correct or both very deluded lol
Thank god to VCAA that the short answer is much better than the multi choice 🤣🤣😊
It really was much, much easier!!!!
Hi, I had a question. I don't know if you are a VCE exam marker for further, but if you are don't you get given the solutions to mark other peoples papers? If you are a marker can you post the VCAA approved solutions for Exam 1 especially Q1? Thank you so much!!
Hi Jobin. I’m sorry, but i don’t assess with VCAA this year. But I don’t think anyone will release the actual mark scheme from VCAA. I don’t think it would be worth their while and I think VCAA would have pretty strict rules against this. We will only find out what they “may” have accepted when the examiners report is released.
Question 8 of Linear - I think it's D. It does intersect with the feasible region, but it doesn't intersect where x and y are integers. The minimum integer values are (2, 12). The true minimum is at (1.5, 15), but 1.5 isn't a member of Z.
Furthermore, for E, what if b=9999 and a=0.000001? That would mean that the line is almost flat, and would intersect at the bottom right corner of the feasible region first. Let me know if I'm missing something....
Thanks for your comment. As I say in the video. I’ve never taught linear as a module and so just spent 30 mins trying to crash it. I’ll look at it again in the coming weeks to better understand the question and responses.
@@MaffsGuru Thanks so much for everything you've done this year!!!!
You are more than welcome! Thanks for your support!! Please let your teachers know that I have some pretty decent content. I'd genuinely love to help more and students and I just can't find a way to tell the teachers in the school.
cheers for a good year daz!!!!!
I'm going miss ya man!! Wishing you the best of luck for Monday!!! Keep in touch by sending me an email every now and again letting me know how things are going. It's been a blast knowing and teaching you this year.
for Q4 networks, I didn't think we were allowed to move them because it only says you can remove them that's a free mark down the drain
It was certainly tricky. I thought about this one for some time!! The only option was to move it.
thankyou sm for this! definitely helped me figure out which ones were right and wrong and why lmao
You are more than welcome. Fingers crossed they help for Monday as well. Wishing you the best of luck.
Hi, when are you uploading the solutions to exam 2 2022?
Editing it now. Should be live later tonight.
For Q21, It says consider the following statements regarding effective interest rates and COMPOUND INTEREST investments. So I dont get how a nominal rate of 12% per year can equal a nominal rate of 1% per month.
If I invested 1000 dollars at 12% per annum.
At the end of the year id get 1120 bucks
But If invested 1% per month compounded monthly. Then it would be 1000 x 1.01^12 which is 1126.83 bucks
exactly what I did
This is talking about the RATE not the amount. A nominal rate of 12% p/a translates to 1% per month. This is not effective interest rates but nominal ones. There is NO compound calculation.
I agree with NR on this one
@@nathanrunciman88
How would a Rate be the same if it gives different values for an end result? If you wanted to truly translate 12% per annum to a monthly compounded rate that would give the same value it would have to be around 0.949% per month
If this question were talking about simple interest then yes, a rate of 12% per annum is the same as 1% per month. But this question said compound interest
if you are going from 12% annually to a monthly recurrence relation you divide the interest rate of 12% by 12, therefore giving 1% per month
can't you get your effective interest rate lower than your nominal if your compounding period is less than once a year, like once every 1 and a half or 2 years?
that'a right, interest can compound 2 yearly or even 18 monthly, in that case the effective interest rate will be lower, and the statement didn't say that the compound has to be within a year
I agree, I think while unrealistic it's still legitimate. I think statement 3 is wrong though, so the answer to me is still D
@@leonli844 yeah haha i thought statement three was wrong too
Guys you CANNOT get a lower effective rate than a nominal one- it’s impossible. You cannot have a compounding period longer than a nominal interest rate period.
I agree with NR here.
Great work!
That's very kind of you to say! Thanks so much for leaving me a comment.
Do you think the grade distribution will be lower in this exam than in previous years? Especially at the higher end.
I really wish I understood anything VCAA did but, for this, I have no idea. I imagine a number of good kids will have made mistakes which they might not have otherwise made ... but ... again ... who knows. Wishing you the very best of luck for Monday. Let me know if there is anything more I can do to help.
for question 24 in finance, the CAS didnt show up
I know. I was too focused on the question and forgot to put the CAS. I speak through it but will redo the video in a few weeks to add the CAS for people next year
how can you graph question one if the values are a set range, since you won't know if it is 57.2 or 57.7
Good question. I’m going to see further guidance on this one as I think it’s way too hard for the first question of an exam when they are normally much easier.
Do u think it was hard to answer questions compared to last years one?
I think so. But I was pretty shattered when doing this last night. So it might have just felt more of a battle.
Surely you could do paper 2 aswell
Editing it now. Should be live later tonight.
@@MaffsGuru thank u so much. This really helps
Does anyone know where i can find this paper online?
VCAA will put it online in a few months I think
@@MaffsGuru thanks mate
Also for question 1 i have confirmed with some raw50 guy, it's possible that both C and E are right, but if VCAA decides only one can be right then it must be E since if VCAA want it to be negatively skewed it would be much more obvious, they don't expect you to spend 5 mins putting all the data in to sketch a box plot, also they don't want their question to be debatable
I’ll be interested to see where VCAA fall on this one. It’s stupidly obtuse or hard for the first question. This would have killed the confidence of so many kids. Which would have been really unfair.
@@MaffsGuru 100% agree with you, i head about so many people saying their confidence was almost ruined just from this first question. would've set the mood for the rest of the exam. i think they are going to fall on negatively skewed or completely void the question.
Who knows what they are going to do :(
i wrote e question 1 i hope im right
Sadly, I don't think we are ever going to know until VCAA release their examiners report. I think it was a stupid question for the start of Core and would have done more harm than good.
For Q5 in Module 3, is the answer not D - 60, if you use similar figures.
I got this too.
I originally put D, I got tricked by the wording. It says the *total length* of the scale model is 300mm, whereas the 15m we are given is just the length of the cylinder and not the total length of the larger storage tank :(( - EDIT: meaning I agree with Darren sorry guys
I'm really sorry. I'm pretty confident in the answer to this question. I checked and checked it again to make sure.
@@MaffsGuru I realised the tone of my comment kinda sounded like I was disagreeing with you, but don't worry, definitely agreeing with you on this one Darren! I did get the answer wrong in the test though rip
@@WIlliamSmith-dw4ku LOL. I didn't read it that way at all :) All good!! Keep posting legend ...
The mean median and mode are the same for q1
Yup. I need to consult with my people to see what we think the answer is. I think this was way too hard for a Q1 of an exam.
Hello, I hope you can answer me because my exam 2 is on Monday. It’s not about this paper but about 2021 NHT paper 2- I am confused how you are doing the sliding method for q3b of graphs. I thought the gradient was close to -1 so how come you are using a line with gradient of +1 to get the solutions. Using -1 as the gradient, I keep getting $46850 as minimum cost and the point I touch first is (8000,37000). Please help :(
Ps. I thought you would be more likely to see my comment on this video than the 2021 NHT one
Hi Sarah. Sorry I've taken so long to reply but I've been offline all morning. So ... it appears that you've picked up an error in this part of the question which I need to go and look more in to!!! The gradient of the objective function should be -1 as you have said. I don't teach linear and so if I'm going to make a mistake ... it's normally on these questions :( I know that doesn't help you ... but I will update the video later to reflect the correct working. Have you checked the VCAA answers for this question? What do they say is the correct answer?
Me again ... interesting that I got the same answer as VCAA. So ... it would suggest that using a gradient of -1 would intersect at a different point, but which, when placed into the objective function, would give you the same profit. I have to pop out again but I'll look into this later this afternoon and post my working out here.
I have a feeling it's the point where JM and NL cross. I need to find what this point is and check ... which I'll do a little later on.
@@MaffsGuru Hello, no that’s absolutely fine. Thank you so much for your reply! While you didn’t use the negative gradient, you still got the correct answer because I had accidentally drawn the objective function a little too steep and therefore, I was intersecting at the wrong point. The scaling messed me up! Sorry for the hassle but I just realised this a few moments ago. Thanks again for your time and wonderful videos :)
I was just also confused because when you were solving the exam 1 2022 VCAA paper you were using the positive gradient to slide up. I have never encountered a positive gradient for the objective function and so I couldn’t solve this question correctly :( so if you could just explain how to use a positive gradient in the sliding method, that would be awesome!
Lmao question 21 statement 3 is obviously incorrect it's obviously not equivalent if u do 1000 x 1.12 and 1000 x 1.01^12
and statement 4 is correct since the interest can compound 18 monthly, 2 yearly
That’s factually incorrect. You cannot have a compounding period longer than one year in VCAA’s finance study design.
I agree with NR here.
@@nathanrunciman88 Could you please state where in the study design in states that a compounding period can not be longer than a year?
this exam was so bad i was averaging 70 on the trials and i got barely a pass smh
I agree. This one was pretty challenging in places. I tripped over four questions. Fingers crossed the one on Monday is a lot better. Wishing you lots of luck.
@@MaffsGuru i left the examination room feeling confident like wow i think i did aright just to barely pass
There is nothing you can do about the past, but you can still smash Monday. Please reach out and let me know if there is anything more I can do to help you.
Have you seen this many ambiguous questions before in an exam 1?
Or is it always like this?
I feel like this paper has been more "challenging" than any other that I remember. Then again, I could have been second guessing myself on all questions which led to me being tricked more than I would normally. It's so hard to tell :(
I got all of them wrong cuhhhhhhh
I hope not. Sending you lots of good luck vibes for tomorrow.