ATAR Notes: Forum

Archived Discussion => HSC Exam Discussion 2019 => Maths Exams => Topic started by: Joseph41 on October 09, 2019, 04:17:51 pm

Title: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Joseph41 on October 09, 2019, 04:17:51 pm
Post all exam discussion, questions, and sample solutions for Maths Advanced here!
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: lace02 on October 25, 2019, 07:15:14 pm
How did everyone go?!
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: KingTings on October 25, 2019, 07:16:06 pm
How did everyone go?!

I didn't think it was too bad, yourself?
I made dumb mistakes throughout a bit of 14-16, but overall I'm hoping for around 90ish raw.
What does everyone thing the b6 cutoff and scaling will be like this year?

Someone already put up the paper lol
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 25, 2019, 08:17:51 pm
Note: If NESA requests this to be taken down, I'll be forced to comply. Juggling MX2 alongside this. Please point out any mistakes.

(Click on an image to resize it!)

Questinos 11, 12 and 14 kindly donated by fun_jirachi

Multiple choice
(https://i.imgur.com/eNjxY1c.png)

Question 13
(https://i.imgur.com/C4Zpdha.png)

(https://i.imgur.com/3pyqbRe.jpg)

Question 15
(https://i.imgur.com/5tH5xDo.png)

Question 16
(https://i.imgur.com/pp1cLOc.png)

Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: KingTings on October 25, 2019, 08:27:36 pm
Note: If NESA requests this to be taken down, I'll be forced to comply. Mostly gonna go backwards for now, but I'm also gonna juggle MX2. Please point out any mistakes.

Question 16
(https://i.imgur.com/C5MXirb.png)
Thanks so much Rui!!!

For 16 b, would the height be pi/4 or pi/2? And hence it would be pi/12(y0 + ylast 4yodd) ? cause I got 1.53 rip pls tell me I didn't make a big oopsie xD
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 25, 2019, 08:34:52 pm
Thanks so much Rui!!!

For 16 b, would the height be pi/4 or pi/2? And hence it would be pi/12(y0 + ylast 4yodd) ? cause I got 1.53 rip pls tell me I didn't make a big oopsie xD
Oh yikes haha definitely \( \frac\pi{12}\)! Thanks :D will edit that later
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 25, 2019, 09:57:14 pm
Apologies for the slowness. This is surprisingly hard juggling two subjects simultaneously!
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Husky on October 26, 2019, 12:51:41 am
Isn’t question 13 part (a) = sinx(cosx-1) as opposed to how you factorised it?
I could be wrong though
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: abdulrahmanb8 on October 26, 2019, 12:55:38 am
Yeah I saw that! Also for part b) it should be minus 2 × 20 ×20
Isn’t question 13 part (a) = sinx(cosx-1) as opposed to how you factorised it?
I could be wrong though
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Husky on October 26, 2019, 06:35:38 am
Also wouldn’t the final answer to the financial question be 24 not 25? Because the question asks how many times can a FULL withdrawal of $80000 be made. So instead of rounding up the final answer for n, shouldn’t it be rounded down?
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: fun_jirachi on October 26, 2019, 08:04:19 am
Isn’t question 13 part (a) = sinx(cosx-1) as opposed to how you factorised it?
I could be wrong though
It's fine as written :)
Yeah I saw that! Also for part b) it should be minus 2 × 20 ×20
That's either okay, or since been corrected :)
Also wouldn’t the final answer to the financial question be 24 not 25? Because the question asks how many times can a FULL withdrawal of $80000 be made. So instead of rounding up the final answer for n, shouldn’t it be rounded down?
Yes, you're right here! Definitely should be 24, not 25.

The solutions to the remaining questions are here:
Two notes: a) Click to expand the photo! b) Let me know if there's anything you can't actually read (either my handwriting/photo quality)
Question 11
(https://i.imgur.com/0XZqSb9.jpg)
Question 12
(https://i.imgur.com/ndlxb9q.jpg)
(https://i.imgur.com/IiQvLL8.jpg)
Question 14
(https://i.imgur.com/EbWOhaO.jpg)
(https://i.imgur.com/I9Y8ZXo.jpg)
(https://i.imgur.com/D1b7tjm.jpg)
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: THSCStudyOnly on October 26, 2019, 09:18:20 am
Thanks for the solutions!
 fun_jirachi I think you may have made an error for Q12 Ciii and Q 12 d

Q12 C iii)
Shouldn't it be 54 days, subbing this into L(t) gives 119 leaves, whereas subbing 55 days gives 91 leaves

EDIT: Is this because there is 100 trees at 54.3 days. Thus it needs to be day 55 for there to be less than 100 leaves. If so I wrote 54 in the exam (I had the decimal places above, do you think I will lose a mark?). Although there aren't 100 leaves for either 54 or 55 so shouldn't it have been left as a decimal?


Q 12d
The answer should be (3/2)In(10)
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: THSCStudyOnly on October 26, 2019, 09:28:20 am
RuiAce,
I think you have a error for 13b)
The 70pi/9 = 24.4 so the perimeter has to be larger...
I get around 47.37cm

Also what do you think 90-92 raw mark will align to?  :)
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 26, 2019, 09:52:49 am
There were some corrections I implemented later last night but didn't post to confirm that I had. Will address the remainder now.

Q16 - with the finance, totally did't register the wording last night, oops
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Husky on October 26, 2019, 10:13:37 am
So what do you guys think the band 6 cut off will be?
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: THSCStudyOnly on October 26, 2019, 10:17:40 am
No idea, would 85 be too high for a B6 cutoff?
Honestly i'm thinking around low 80s....although someone more experienced should comment
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: abdulrahmanb8 on October 26, 2019, 10:39:40 am
Thanks for the solutions!
 fun_jirachi I think you may have made an error for Q12 Ciii and Q 12 d

Q12 C iii)
Shouldn't it be 54 days, subbing this into L(t) gives 119 leaves, whereas subbing 55 days gives 91 leaves

EDIT: Is this because there is 100 trees at 54.3 days. Thus it needs to be day 55 for there to be less than 100 leaves. If so I wrote 54 in the exam (I had the decimal places above, do you think I will lose a mark?). Although there aren't 100 leaves for either 54 or 55 so shouldn't it have been left as a decimal?


Q 12d
The answer should be (3/2)In(10)
For 12Ciii. I also left my answer as 54.29, in brackets I wrote (about 54 days later). The question just asked for what value of t is there 100 leaves, not on which day it become a 100 so I reckon what we have done is correct.
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: fun_jirachi on October 26, 2019, 10:41:12 am
Thanks for the solutions!
 fun_jirachi I think you may have made an error for Q12 Ciii and Q 12 d

Q12 C iii)
Shouldn't it be 54 days, subbing this into L(t) gives 119 leaves, whereas subbing 55 days gives 91 leaves

EDIT: Is this because there is 100 trees at 54.3 days. Thus it needs to be day 55 for there to be less than 100 leaves. If so I wrote 54 in the exam (I had the decimal places above, do you think I will lose a mark?). Although there aren't 100 leaves for either 54 or 55 so shouldn't it have been left as a decimal?


Q 12d
The answer should be (3/2)In(10)


Yep, you’re right for 12d): somehow read that as just ln|x+1| for some reason. I’ll make the correction when I’m more free.

As for 12c, it is the 55th day. Consider if we were in the over 6.5 of a cricket match or something; it’s denoted and is the seventh over.

Thanks for pointing these out! 🙂
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: abdulrahmanb8 on October 26, 2019, 10:43:55 am
Yep, you’re right for 12d): somehow read that as just ln|x+1| for some reason. I’ll make the correction when I’m more free.

As for 12c, it is the 55th day. Consider if we were in the over 6.5 of a cricket match or something; it’s denoted and is the seventh over.

Thanks for pointing these out!
It is the 55th day, agreed. But the question Just says "find the value of t for which there are 100 leaves", not on which day it becomes 100
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: THSCStudyOnly on October 26, 2019, 10:58:07 am
Even then I was told by my teachers and tutors to round to the nearest whole number. i.e. 54
So IDK, tbh as long as you have the decimal answer I think they would be leniant.
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: abdulrahmanb8 on October 26, 2019, 11:04:12 am
Even then I was told by my teachers and tutors to round to the nearest whole number. i.e. 54
So IDK, tbh as long as you have the decimal answer I think they would be leniant.
Yeah. Another tutoring company uploaded their solutions and they also wrote 54 days (nearest whole number), so we are good I'm pretty sure
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 26, 2019, 03:15:25 pm
So what do you guys think the band 6 cut off will be?
No idea, would 85 be too high for a B6 cutoff?
Honestly i'm thinking around low 80s....although someone more experienced should comment
It wasn’t an overly difficult paper in my opinion. But after having done the questions I do believe there are some noteworthy challenging ones. I’d be inclined to say 82-84?
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: r1ckworthy on October 26, 2019, 04:00:32 pm
It wasn’t an overly difficult paper in my opinion. But after having done the questions I do believe there are some noteworthy challenging ones. I’d be inclined to say 82-84?

How does it compare with 2018? I also agree, the paper was definitely doable, albeit a bit tricky.
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 26, 2019, 05:40:41 pm
How does it compare with 2018? I also agree, the paper was definitely doable, albeit a bit tricky.
Can't say for sure; I never actually did solutions to the 2018 paper :/

2018 probably had the harder finance question, but I mean it was 16c that year whereas it was 16a this year.

Your 16c doesn't look hard conceptually I think. But it's quite interesting because you don't usually see all the basic concepts get bundled into one single question like that.
Simpson's rule isn't hard though in my opinion; just stupidly long. But to be fair, some 2U students might've been lost at how to handle the motion part of that question, seeing as though not everyone seems to understand how to use definite integrals.

But at the same time, your Q15 looked harder than the 2018 Q15.
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Husky on October 27, 2019, 08:33:43 am
Hey I just have a quick question regarding the hsc exam marks. Are the marks we receive the aligned marks? As in the ones where our marks are boosted up based off of the band cut offs or does that type of scaling happen in the atar mark?
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 27, 2019, 09:17:11 am
Hey I just have a quick question regarding the hsc exam marks. Are the marks we receive the aligned marks? As in the ones where our marks are boosted up based off of the band cut offs or does that type of scaling happen in the atar mark?
You're reported an aligned mark.

You don't get to see your raw mark by default. Raw marks need to be purchased off NESA.
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: Husky on October 27, 2019, 09:40:51 am
You're reported an aligned mark.

You don't get to see your raw mark by default. Raw marks need to be purchased off NESA.

Ah okay makes sense, thank you for the quick response. Is there any way of finding out what the band cut offs were for previous years?
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: RuiAce on October 27, 2019, 10:00:10 am
Ah okay makes sense, thank you for the quick response. Is there any way of finding out what the band cut offs were for previous years?
NESA never publicly discloses this information to my knowledge. Usually people use the raw marks database to infer where the cut-off would most likely be.

(Note: Marks in the raw marks database are typically donated by past students who did buy their marks.)
Title: Re: HSC Maths Advanced - 25/10/19 - Discussion, Questions & Potential Solutions
Post by: minh.tran278 on February 17, 2020, 03:52:07 pm
Hi, would you mind helping me out a little bit with my maths assessment?

I need to do a survey just one quick question for maths

the link to the survey is here: https://forms.gle/Vt4VJZLtZK8SSxS1A

Please please help me out I need around 100 responses as a requirement for this assessment,

Thanks so much