Print Page - Maths Methods (Exam 1): Discussion, Questions & Potential Solutions

Archived Discussion => VCE Exam Discussion 2018 => Results Discussion => Victoria => VCE Maths Exams => Topic started by: Joseph41 on October 09, 2018, 03:24:54 pm

Title: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on October 09, 2018, 03:24:54 pm

(https://i.imgur.com/Ass8Hu8.png)

This thread is for all exam-related discussion. Was it easy? Was it hard? What did you get for each question? Feel free to post any and all of your thoughts below.

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Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: crouchie on November 07, 2018, 10:30:46 am

How'd you all find it?

Typed up solutions about to be posted. Stay tuned.

EDIT: Solutions Posted. Please let me know of any suggestions.

EDIT 2: Sorry, formatting stuffed up on first upload. Re-uploaded with fix.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: pieholic1 on November 07, 2018, 10:32:39 am

Does anyone have a copy of the exam? Happy to provide worked solutions as I tutor methods

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: crawlingvines on November 07, 2018, 10:34:29 am

Trainwreck. That's all I have to contribute

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: jazzycab on November 07, 2018, 10:35:44 am

Question 1a
$\begin{align*}u&=-3x^3+x^2-64&\frac{du}{dx}&=-9x^2+2x\\y&=u^3&\frac{dy}{du}&=3u^2\\\therefore\frac{dy}{dx}&=3u^2\left(-9x^2+2x\right)&&=3\left(-3x^3+x^2-64\right)^2\left(2x-9x^2\right)\end{align*}$

Question 1b
$\begin{align*}u&=e^{x}&u'&=e^{x}\\v&=\cos{\left(x\right)}&v'&=-\sin{\left(x\right)}\\f'\left(x\right)&=\frac{u'v-v'u}{v^2}&&=\frac{e^{x}\cos{\left(x\right)}+e^{x}\sin{\left(x\right)}}{\cos^2{\left(x\right)}}\\\therefore f'\left(\pi\right)&=\frac{e^{\pi}\cos{\left(\pi\right)}+e^{\pi}\sin{\left(\pi\right)}}{\cos^2{\left(\pi\right)}}&&=\frac{-e^{\pi}+0}{\left(-1\right)^2}\\&=-e^{\pi}\end{align*}$

Question 2
$\begin{align*}f\left(x\right)&=\int{\frac{1}{2}-\frac{1}{2x-2}}dx&&=\frac{x}{2}-\frac{1}{2}\log_{e}{\left|x-1\right|}+c,c\in\mathbb{R}\\x&>1&\therefore f\left(x\right)&=\frac{x}{2}-\frac{1}{2}\log_{e}{\left(x-1\right)}+c\\0&=1-\frac{1}{2}\log_{e}{\left(2-1\right)}+c&&=1+c\\\therefore c&=-1&f\left(x\right)&=\frac{x}{2}-\frac{1}{2}\log_{e}{\left(x-1\right)}-1\end{align*}$

Question 3a
$\begin{align*}2\cos{\left(x\right)}&=-1&\cos{\left(x\right)}&=-\frac{1}{2}\\x&=\pi-\frac{\pi}{3},\pi+\frac{\pi}{3}&&=\frac{2\pi}{3},\frac{4\pi}{3}\end{align*}$

Question 3a
(http://oi65.tinypic.com/1414kjl.jpg)

Question 4a
$\begin{align*}X&\sim N\left(6,4\right)&\therefore \text{Pr}\left(X>6\right)&=0.5\end{align*}$

Question 4b
$\begin{align*}Z&\sim N\left(0,1\right)&\therefore\text{Pr}\left(X>7\right)&=\text{Pr}\left(Z>\frac{7-6}{\sqrt{4}}\right)\\&=\text{Pr}\left(Z>\frac{1}{2}\right)&&=\text{Pr}\left(Z<-\frac{1}{2}\right)\\\therefore b&=-\frac{1}{2}\end{align*}$

Question 5
$\begin{align*}f\left(x\right):x&>2,&y&>0\\\therefore f^{-1}\left(x\right):x&>0,&y&>2\\x&=\frac{1}{\left(f^{-1}\left(x\right)-2\right)^2}&\frac{1}{x}&=\left(f^{-1}\left(x\right)-2\right)^2\\\pm\sqrt{\frac{1}{x}}&=f^{-1}\left(x\right)-2&f^{-1}\left(x\right)&=2\pm\frac{1}{\sqrt{x}}\\f^{-1}\left(x\right)&>2,&x&>0\\\therefore f^{-1}\left(x\right)&=2+\frac{1}{\sqrt{x}},&x&>0\end{align*}$

Question 6a
$\begin{align*}\text{Pr}\left(\text{Black}\right)&=\frac{1}{2}\times 1+\frac{1}{2}\times\frac{1}{2}&&=\frac{1}{2}+\frac{1}{4}\\&=\frac{2+1}{4}&&=\frac{3}{4}\end{align*}$

Question 6b
$\begin{align*}\text{Pr}\left(\text{Box1 }|\text{Black}\right)&=\frac{\text{Pr}\left(\text{Box 1}\cap\text{Black}\right)}{\text{Pr}\left(\text{Black}\right)}&&=\frac{\frac{1}{2}\times 1}{\frac{3}{4}}\\&=\frac{1}{2}\div\frac{3}{4}&&=\frac{1}{2}\times\frac{4}{3}\\&=\frac{2}{3}\end{align*}$

Question 7a
$\begin{align*}m_1&=2&\therefore m_2&=1\frac{1}{2}\\y_2-0&=m_2\left(x-0\right)&\therefore y_2&=-\frac{1}{2}x\\-\frac{1}{2}x_{P}&=2x_{P}-4&-x_{P}&=4x_{P}-8\\0&=5x_{P}-8&5x_{P}&=8\\\therefore x_{P}&=\frac{8}{5}&y_{P}&=-\frac{1}{2}\times\frac{8}{5}\\y_{P}&=-\frac{4}{5}&\therefore P:&\left(\frac{8}{5},-\frac{4}{5}\right)\end{align*}$

Question 7b
$\begin{align*}OP&=\sqrt{\left(\frac{8}{5}-0\right)^2+\left(-\frac{4}{5}-0\right)^2}&&=\sqrt{\frac{64}{25}+\frac{16}{25}}\\&=\frac{\sqrt{80}}{5}&&=\frac{\sqrt{16\times 5}}{5}\\&=\frac{4\sqrt{5}}{5}\end{align*}$

Question 8a
$\begin{align*}u&=x^2&u'&=2x\\v&=e^{kx}&v'&=ke^{kx}\\f'\left(x\right)&=u'v+v'u&&=2xe^{kx}+kx^2e^{kx}\\&=xe^{kx}\left(2+kx\right)&&=xe^{kx}\left(kx+2\right)\end{align*}$

Question 8b
$\begin{align*}x^2e^{kx}&=xe^{kx}\left(kx+2\right)&0&=x^2e^{kx}-xe^{kx}\left(kx+2\right)\\0&=xe^{kx}\left(x-kx-2\right)&0&=xe^{kx}\left(x\left(1-k\right)-2\right)\\e^{kx}&\ne 0&\therefore x&=0,\frac{2}{1-k}\\\therefore 0&=\frac{2}{1-k}&&\text{or }\frac{2}{1-k}\text{ is undefined}\\\therefore k&=1\end{align*}$

Question 8c
$\begin{align*}A&=\int_{0}^{2}{f\left(x\right)-g\left(x\right)}dx\end{align*}$

Question 8d
$\begin{align*}\int{kx^2e^{kx}+2xe^{kx}}dx&=x^2e^{kx}+c,c\in\mathbb{R}&k\int{x^2e^{kx}+\frac{2xe^{kx}}{k}}dx&=x^2e^{kx}+c\\\therefore k\int{f\left(x\right)-g\left(x\right)}&=x^2e^{kx}+c&kA&=\left[x^2e^{kx}\right]_{0}^{2}\\kA&=4e^{2k}-0&k\times\frac{16}{k}&=4e^{2k}\\16&=4e^{2k}&4&=e^{2k}\\\log_{e}{\left(4\right)}&=2k&k&=\frac{1}{2}\log_{e}{\left(4\right)}\\k&=\log_{e}{\left(4\right)^{\frac{1}{2}}}&&=\log_{e}{\left(2\right)}\end{align*}$

Question 9ai
$\begin{align*}\text{If }n\text{ is even or }0&\Rightarrow n+1\text{ is odd}\\\int_{n\pi}^{\left(n+1\right)\pi}{x\sin{\left(x\right)}}dx&=\left[\sin{\left(x\right)}-x\cos{\left(x\right)}\right]_{n\pi}^{\left(n+1\right)\pi}&&=\sin{\left(\pi\left(n+1\right)\right)}-\left(n+1\right)\pi\cos{\left(\pi\left(n+1\right)\right)}-\left(\sin{\left(n\pi\right)}-n\pi\cos{\left(n\pi\right)}\right)\\&=0+\left(n+1\right)\pi-0+n\pi&&=n\pi+\pi+n\pi\\&=2n\pi+\pi&&=\pi\left(2n+1\right)\end{align*}$

Question 9aii
$\begin{align*}\text{If }n\text{ is odd }&\Rightarrow n+1\text{ is even or 0}\\\int_{n\pi}^{\left(n+1\right)\pi}{x\sin{\left(x\right)}}dx&=\left[\sin{\left(x\right)}-x\cos{\left(x\right)}\right]_{n\pi}^{\left(n+1\right)\pi}&&=\sin{\left(\pi\left(n+1\right)\right)}-\left(n+1\right)\pi\cos{\left(\pi\left(n+1\right)\right)}-\left(\sin{\left(n\pi\right)}-n\pi\cos{\left(n\pi\right)}\right)\\&=0-\left(n+1\right)\pi-0+n\pi&&=-n\pi-\pi-n\pi\\&=-2n\pi-\pi&&=-\pi\left(2n+1\right)\end{align*}$

Question 9b
$\begin{align*}u&=x&u'&=1\\v&=\sin{\left(x\right)}&v'&=\cos{\left(x\right)}\\\therefore\frac{dy}{dx}&=\sin{\left(x\right)}+x\cos{\left(x\right)}&\frac{dy}{dx}\Bigg{|}_{x=-\frac{5\pi}{2}}&=-1+0\\\therefore m&=-1&y&=-\left(x+\frac{5\pi}{2}\right)+\frac{5\pi}{2}\\y&=-x\end{align*}$

Question 9c
$\begin{align*}\sin{\left(x+\left(2k+1\right)\pi\right)}&=-\sin{\left(x\right)},k\in\mathbb{Z}&\therefore y\left(x-3\pi\right)&=\left(x-3\pi\right)\sin{\left(x-3\pi\right)}\\&=\left(x-3\pi\right)\left(-\sin{\left(x\right)}\right)&&=\left(3\pi-x\right)\sin{\left(x\right)}\\\therefore a&=3\pi\end{align*}$

Question 9d
$\begin{align*}l_1&=-\left(x-3\pi\right)&l_1\left(0\right)&=3\pi\\l_1&=0&\Rightarrow x&=3\pi\\A&=2\left(\frac{1}{2}\left(3\pi\right)\left(3\pi\right)-\int_{-3\pi}^{-2\pi}{x\sin{\left(x\right)}}dx+\int_{-2\pi}^{-\pi}{x\sin{\left(x\right)}}dx-\int_{-\pi}^{0}{x\sin{\left(x\right)}}dx\right)&&=9\pi^2-2\left(-\pi\left(2\left(-3\right)+1\right)\right)+2\left(\pi\left(2\left(-2\right)+1\right)\right)-2\left(-\pi\left(2\left(-1\right)+1\right)\right)\\&=9\pi^2-10\pi-6\pi-2\pi&&=9\pi^2-18\pi\end{align*}$

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Bri MT on November 07, 2018, 10:36:16 am

Quote from: pieholic1 on November 07, 2018, 10:32:39 am

Does anyone have a copy of the exam? Happy to provide worked solutions as I tutor methods

Although it's a nice sentiment to want to help, we can't allow people to uplaod or request copyright materials including the VCE exams. See this post for more information.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: erinations on November 07, 2018, 10:41:46 am

that was a horrible exam.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: marauder52 on November 07, 2018, 10:46:59 am

What would I be looking at with
~90% SACs top 20 ranks at a selective school
34/40 Exam 1
70/80 Exam 2

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Bell9565 on November 07, 2018, 10:49:03 am

missed the last page, spent to long before I realised I had the symmetry on the (N+1)pi question the wrong way round ....

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: not.yet.a.nerd on November 07, 2018, 10:52:42 am

The first half was suspiciously easy... The second half was like a punch in the face. I guess the last few questions will really be those deciding marks for the top scores :/

Also did you guys simplify the first question? Worth one mark but I think I over-simplified. RIP :-\

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: juicethelemon on November 07, 2018, 10:55:32 am

Quote from: not.yet.a.nerd on November 07, 2018, 10:52:42 am

The first half was suspiciously easy... The second half was like a punch in the face. I guess the last few questions will really be those deciding marks for the top scores :/

Also did you guys simplify the first question? Worth one mark but I think I over-simplified. RIP :-\

wow literally thought I was the only one. It was going great the whole way through and then bam last two questions slaughtered me

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: yebavin on November 07, 2018, 10:58:06 am

What do you think B cutoff will be?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: technodisney on November 07, 2018, 11:03:22 am

Quote from: not.yet.a.nerd on November 07, 2018, 10:52:42 am

The first half was suspiciously easy... The second half was like a punch in the face. I guess the last few questions will really be those deciding marks for the top scores :/

That just about sums it up lol. I got close to half of it done in 15 minutes, I was thinking it was way to easy, then I got a surprise when I actually had to think through the questions at the end, how the heck do we do all of that stupid integration at the end. I could have done it but it would be way too over complicated.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Nason on November 07, 2018, 11:06:05 am

I messed up the last question with such a stupid mistake. Pretty sure the answers meant to be 9(pi)^2 -18(pi) but I didn't square the first pi so I got -9pi. Other than that I think I got everything right, aside from the length of OP, somehow I messed that one up and got 4sqrt(10)/5 when it should be 4sqrt(5)/5

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Azzzz on November 07, 2018, 11:06:38 am

Quote from: technodisney on November 07, 2018, 11:03:22 am

That just about sums it up lol. I got close to half of it done in 15 minutes, I was thinking it was way to easy, then I got a surprise when I actually had to think through the questions at the end, how the heck do we do all of that stupid integration at the end. I could have done it but it would be way too over complicated.

All that integration at the end made me want to walk out, that was probably the hardest exam I’ve done for methods I’ll be happy with a 37 at this point.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: not.yet.a.nerd on November 07, 2018, 11:08:09 am

Quote from: Bell9565 on November 07, 2018, 10:49:03 am

missed the last page, spent to long before I realised I had the symmetry on the (N+1)pi question the wrong way round ....

Don't worry too much, the last page only had 2 marks :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Nason on November 07, 2018, 11:08:42 am

I'm so surprised that the very last question was only 2 marks with how much working out was required.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: passbleh24 on November 07, 2018, 11:09:51 am

Pretty decent exam.
No controversial differentiating at end point this year!!

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: addictwithatextbook on November 07, 2018, 11:11:09 am

Quote from: juicethelemon on November 07, 2018, 10:55:32 am

wow literally thought I was the only one. It was going great the whole way through and then bam last two questions slaughtered me

it was the last THREE questions that slaughtered me! oh goody...

and what was the equation for l1 in the last question?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: not.yet.a.nerd on November 07, 2018, 11:12:29 am

Quote from: Nason on November 07, 2018, 11:08:42 am

I'm so surprised that the very last question was only 2 marks with how much working out was required.

Yeah, exactly, which makes me think that there must have been a more simple way of solving it. A friend was saying that you could use values found in parts a-d or something but honestly I have no idea. Guess we'll be waiting for the exam to be published :/

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Acynatic on November 07, 2018, 11:12:38 am

That was a complete wreck, got all the hard questions right but lost 4 marks to easy questions cause i had no time to check them...

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Atarasdf on November 07, 2018, 11:16:03 am

that was the easiest test in a long time 40/40. phew

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: jocka on November 07, 2018, 11:16:56 am

Quote from: Atarasdf on November 07, 2018, 11:16:03 am

that was the easiest test in a long time 40/40. phew

LOL, liar

What did everyone get for K?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:21:07 am

Hi everyone. Hope you all did well in your exam 1.
One of the questions gave us a derivative and told us to find the original function.
I Wrote:
$\frac{x}{2}-\frac{1}{2}\ln(2x-2)+\frac{1}{2}\ln(2)-1$
But I now realise that a simpler form is:
$\frac{x}{2}-\frac{1}{2}\ln(x-1)-1$
Will I still get full marks even though I wrote the first one?
(Posted on another)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Nason on November 07, 2018, 11:23:38 am

Quote from: not.yet.a.nerd on November 07, 2018, 11:12:29 am

Yeah, exactly, which makes me think that there must have been a more simple way of solving it. A friend was saying that you could use values found in parts a-d or something but honestly I have no idea. Guess we'll be waiting for the exam to be published :/

Yeah you could substitute that in when integrating xsin(x) however it still is a lot of working out

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:28:06 am

Quote from: DinWell on November 07, 2018, 11:21:07 am

Hi everyone. Hope you all did well in your exam 1.
One of the questions gave us a derivative and told us to find the original function.
I Wrote:
$\frac{x}{2}-\frac{1}{2}\ln(2x-2)+\frac{1}{2}\ln(2)-1$
But I now realise that a simpler form is:
$\frac{x}{2}-\frac{1}{2}\ln(x-1)-1$
Will I still get full marks even though I wrote the first one?
(Posted on another)

Also, do I have to justify the fact that I have no absolutes? The domain x>1 and I thought that absolute values when integrating weren't needed since it's out of the methods study design.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Atarasdf on November 07, 2018, 11:31:10 am

Quote from: jocka on November 07, 2018, 11:16:56 am

LOL, liar

What did everyone get for K?

Don't ever disrespect the king

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: addictwithatextbook on November 07, 2018, 11:35:26 am

Quote from: Atarasdf on November 07, 2018, 11:31:10 am

Don't ever disrespect the king

lmao reminds me of someone in my class ;D ;D definitely joking/sarcasm

Quote from: jocka on November 07, 2018, 11:16:56 am

LOL, liar

What did everyone get for K?

i guessed both k values because i had no idea how to use the definite integral

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:36:36 am

Quote from: jocka on November 07, 2018, 11:16:56 am

LOL, liar

What did everyone get for K?

Pretty sure first k = 1 and second k = ln(2)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: ThomasJordan on November 07, 2018, 11:38:07 am

Can someone tell me how many marks question 6 was?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: TheBamboozler on November 07, 2018, 11:38:22 am

Wow, I don't think any studying could have prepared me for this. I swear question 9 looked straight out of specialist but what do I know.
Heres hoping that the B+ cut off is a 23/40 because that's probably the best I got. :'(
Horrible exam but I was never good at math anyway.
I'm hoping to get a 33 raw, scaled 38? I'm probably going to get 38 raw in psych and I've been getting 90% all year.
Scaling is fair.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Bri MT on November 07, 2018, 11:38:38 am

Quote from: DinWell on November 07, 2018, 11:28:06 am

Also, do I have to justify the fact that I have no absolutes? The domain x>1 and I thought that absolute values when integrating weren't needed since it's out of the methods study design.

Don't worry, absolute values are out of the study design :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:39:28 am

Quote from: not.yet.a.nerd on November 07, 2018, 11:12:29 am

Yeah, exactly, which makes me think that there must have been a more simple way of solving it. A friend was saying that you could use values found in parts a-d or something but honestly I have no idea. Guess we'll be waiting for the exam to be published :/

There was a simple way. You can use symmetry properties and the fact that it was translated by 3pi to easily find the integrals using your answers from a and b

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 07, 2018, 11:39:50 am

Anyone know what the A+ cutoff might be? How did you guys find it in comparison to previous years? I feel like 2016 and 2017 were dead easy in comparison to this one.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:42:14 am

Quote from: Mattjbr2 on November 07, 2018, 11:39:50 am

Anyone know what the A+ cutoff might be? How did you guys find it in comparison to previous years? I feel like 2016 and 2017 were dead easy in comparison to this one.

Imo it was comparable to 2016 and 2017. So around 34-35?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: lacitam on November 07, 2018, 11:47:54 am

lmao I knew I was fucked for this exam during reading time.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: technodisney on November 07, 2018, 11:49:47 am

The probability questions seemed way too easy. Although I could just be a big idiot.

The one with the Standard Deviation (sorry I forgot the question number) the answers I got were
part a: pr(X>6) = 1/2
part b: b=5

2 questions:
1: did I get that right?
2: Did I need to show more working if it is right?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:51:26 am

Quote from: technodisney on November 07, 2018, 11:49:47 am

The probability questions seemed way too easy. Although I could just be a big idiot.

The one with the Standard Deviation (sorry I forgot the question number) the answers I got were
part a: pr(X>6) = 1/2
part b: b=5

2 questions:
1: did I get that right?
2: Did I need to show more working if it is right?

I got b=-1/2. Do you remember how many marks they were?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: TheBamboozler on November 07, 2018, 11:52:10 am

Quote from: technodisney on November 07, 2018, 11:49:47 am

part b: b=5

Didn't that question say Z < b? In that case it wouldn't be 5 because it would have to be standardized as a result. I also got pr(x>6) = 0.5 as well.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: passbleh24 on November 07, 2018, 11:52:40 am

Quote from: technodisney on November 07, 2018, 11:49:47 am

The probability questions seemed way too easy. Although I could just be a big idiot.

The one with the Standard Deviation (sorry I forgot the question number) the answers I got were
part a: pr(X>6) = 1/2
part b: b=5

2 questions:
1: did I get that right?
2: Did I need to show more working if it is right?

I got b = -1/2
Mean was 6 SD was 2. Half SD (1) up is 7.
Z greater than 0.5 = Z less than - 0.5 .. Not too sure

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Dais_Deorum on November 07, 2018, 11:54:15 am

Quote from: DinWell on November 07, 2018, 11:42:14 am

Imo it was comparable to 2016 and 2017. So around 34-35?

Disagree with that. I think you'll find that very few students will get full marks on the last 3/4 pages, whilst in 2016/17, there were only a couple of questions where the majority got full marks.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: technodisney on November 07, 2018, 11:56:57 am

Quote from: TheBamboozler on November 07, 2018, 11:52:10 am

Didn't that question say Z < b? In that case it wouldn't be 5 because it would have to be standardized as a result. I also got pr(x>6) = 0.5 as well.

Quote from: passbleh24 on November 07, 2018, 11:52:40 am

I got b = -1/2
Mean was 6 SD was 2. Half SD (1) up is 7.
Z greater than 0.5 = Z less than - 0.5 .. Not too sure

Wait a sec... *facepalm* You are right
The question was Pr(X>7) = Pr(Z<b) find b
I read it as Pr(X>7) = Pr(X<b) find b

I knew it seemed waaaay to easy. haha.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 11:58:06 am

Quote from: Dais_Deorum on November 07, 2018, 11:54:15 am

Disagree with that. I think you'll find that very few students will get full marks on the last 3/4 pages, whilst in 2016/17, there were only a couple of questions where the majority got full marks.

What do you think the cutoff will be? Personally, I thought 2017 was slightly harder that this years. I'm in no way stellar at methods but I think I got full marks for the last 3/4 pages.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: petersenge on November 07, 2018, 11:58:26 am

Quote from: DinWell on November 07, 2018, 11:42:14 am

Imo it was comparable to 2016 and 2017. So around 34-35?

No way the exam 1s from the last years are so much easier than this years one. I was aiming for low 30s, I ended up getting mid 20s for this exam... Bummer. Oh well, only thing left to do is try and smash tomorrow's one :/

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 12:03:51 pm

Quote from: petersenge on November 07, 2018, 11:58:26 am

No way the exam 1s from the last years are so much easier than this years one. I was aiming for low 30s, I ended up getting mid 20s for this exam... Bummer. Oh well, only thing left to do is try and smash tomorrow's one :/

Every year people say that their exams are harder than previous years cause they do it under stressful exam conditions. It would be great if someone who didn't do methods this year gave their opinion on this years exam difficulty.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: TheBamboozler on November 07, 2018, 12:04:54 pm

Quote from: technodisney on November 07, 2018, 11:56:57 am

Wait a sec... *facepalm* You are right

OOF. This ain't it chief. What even is 1 mark?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: petersenge on November 07, 2018, 12:09:06 pm

Quote from: DinWell on November 07, 2018, 12:03:51 pm

Every year people say that their exams are harder than previous years cause they do it under stressful exam conditions. It would be great if someone who didn't do methods this year gave their opinion on this years exam difficulty.

Yeah I realised that as I was doing trials they always seemed easier, the stress gets to ya. However, my methods teacher (Head of Mathematics) and assessor for a really long time also said that it was hard in comparison to previous years.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: technodisney on November 07, 2018, 12:10:24 pm

Quote from: TheBamboozler on November 07, 2018, 12:04:54 pm

OOF. This ain't it chief. What even is 1 mark?

1 mark is alot when you have very likely messed up alot more AND missed a few questions *cough cough* that graph at the end.

Anyways, heres an image we can all relate to

Spoiler

(https://i.imgur.com/egsirPu.jpg)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: gary_from_mornington on November 07, 2018, 12:15:06 pm

Surely somebody has the answers though. Like a pdf or some shit. Surely send me it if you got it.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: snip on November 07, 2018, 12:16:13 pm

I’m honestly feeling so bad about that exam, I thought question 9 was pretty good and I did that first in 15 minutes ish so I was feeling good, but threw it all away on question 8. I didn’t manage to get the answer to the last part of the question and didn’t have time to check the rest of my paper. I made a silly mistake at the start of PO by saying that x^2 + 4x^2 was 6x^2, which obviously means I got part a and b wrong. Do you think I’ll get consequential/working marks?, or will I lose 5 marks because of simple errors.
I feel so bad about this paper, I let the stress get to me and did so much worse than all my practices.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: userrrname on November 07, 2018, 12:17:09 pm

LMAO that last page was a joke. As if I would spend that long on a question worth two marks.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on November 07, 2018, 12:17:27 pm

Quote from: gary_from_mornington on November 07, 2018, 12:15:06 pm

Surely somebody has the answers though. Like a pdf or some shit. Surely send me it if you got it.

Solutions have been provided on the first page of this thread - here and here. :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 12:30:35 pm

Quote from: Freddie Hg on November 07, 2018, 12:27:02 pm

what would a 32 be?

A (likely) or very high B+ (less likely)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Duelmaster22 on November 07, 2018, 12:31:12 pm

Would leaving the answer to Question 2 as "...loge(2x-2) - loge(2)...", and Question 8d as loge(4)/2 cause me to lose marks?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 12:32:13 pm

Quote from: Duelmaster22 on November 07, 2018, 12:31:12 pm

Would leaving the answer to Question 2 as "...loge(2x-2) - loge(2)...", and Question 8d as loge(4)/2 cause me to lose marks?

yes a good assesor would remove marks since your answers must be in the simplest forms.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: not.yet.a.nerd on November 07, 2018, 12:32:35 pm

Quote from: userrrname on November 07, 2018, 12:17:09 pm

LMAO that last page was a joke. As if I would spend that long on a question worth two marks.

That's a good point- exam strategy is sometimes about maximising the marks you can get and skipping stuff if you have to. Good lesson for us as we head into exam 2... :'(

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Freddie Hg on November 07, 2018, 12:35:47 pm

Quote from: Sine on November 07, 2018, 12:30:35 pm

A (likely) or very high B+ (less likely)

damn :(

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 12:36:10 pm

Quote from: Sine on November 07, 2018, 12:32:13 pm

yes a good assesor would remove marks since your answers must be in the simplest forms.

What do you think about my previous question?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: S200 on November 07, 2018, 12:42:52 pm

That moment when you realise you drew a perfect sine graph for question 3...

I wondered why my intercepts were sketchy... :'( :'(

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: addictwithatextbook on November 07, 2018, 12:44:28 pm

Does anyone know what the equation for l1 on the last page was?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: MathMethodsGuru on November 07, 2018, 12:45:09 pm

Composite functions.
Integration by recognition.

Where ya at?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: S200 on November 07, 2018, 12:48:25 pm

Quote from: addictwithatextbook on November 07, 2018, 12:44:28 pm

Does anyone know what the equation for l1 on the last page was?

Check the second post of this thread... #Answersheet...

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: marauder52 on November 07, 2018, 12:50:29 pm

Quote from: marauder52 on November 07, 2018, 10:46:59 am

What would I be looking at with
~90% SACs top 20 ranks at a selective school
34/40 Exam 1
70/80 Exam 2

Correction, 28/40 Exam 1 :(

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 12:50:51 pm

Quote from: DinWell on November 07, 2018, 12:36:10 pm

What do you think about my previous question?

I thought overall the exam was "standard' or a touch harder than that - there was a good mix of easy accessible questions and a couple to separate out the top scores.
Question 1-7 were very standard the state should do very well on them. Q8-9 were a total of 15 marks a little bit different and from anecdotal evidence probably done the worst. I wouldn't think the A+ cut-off wouldn't be very different to the past 2 years.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 07, 2018, 12:51:58 pm

Quote from: crouchie on November 07, 2018, 10:30:46 am

How'd you all find it?

Typed up solutions about to be posted. Stay tuned.

EDIT: Solutions Posted. Please let me know of any suggestions.

EDIT 2: Sorry, formatting stuffed up on first upload. Re-uploaded with fix.

I really wish your solutions are 100% correct, I'd be over the moon! Can someone please confirm with certainty?

Can someone please also confirm whether pi(4n+1) and -pi(4n+1) will get me full marks for 9i and 9ii respectively?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: lauren3748 on November 07, 2018, 01:00:35 pm

Are VCAA nice enough to give consequential marks for correct working but incorrect answers?

Hoping so

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Freddie Hg on November 07, 2018, 01:01:07 pm

Quote from: marauder52 on November 07, 2018, 12:50:29 pm

Correction, 28/40 Exam 1 :(

dont worry man, :( it was a crazy exam

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Freddie Hg on November 07, 2018, 01:03:35 pm

Quote from: Mattjbr2 on November 07, 2018, 12:51:58 pm

I really wish your solutions are 100% correct, I'd be over the moon! Can someone please confirm with certainty?

Can someone please also confirm whether pi(4n+1) and -pi(4n+1) will get me full marks for 9i and 9ii respectively?

i dont think so, i spoke to my teacher about this.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Dais_Deorum on November 07, 2018, 01:03:52 pm

If it doesn't say to put down the x-intercepts, do you still have to do it? I just assumed that because it asked for endpoints and the minima that you didn't need to. Ehhhh

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Freddie Hg on November 07, 2018, 01:08:06 pm

Quote from: Dais_Deorum on November 07, 2018, 01:03:52 pm

If it doesn't say to put down the x-intercepts, do you still have to do it? I just assumed that because it asked for endpoints and the minima that you didn't need to. Ehhhh

yea u should be fine

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 01:14:15 pm

VCAA 2018 Methods Exam 1 Provisional Solutions
Solutions by Daniel Traicos at TWM Publications

Was definitely an interesting exam. A+ cutoff will be 33-34 / 40 I think.

Edit 1: Fixed typo in Q8b and cleaned up its solution.
Edit 2: Added marking allocation

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Freddie Hg on November 07, 2018, 01:19:22 pm

Quote from: passbleh24 on November 07, 2018, 01:18:38 pm

I only wrote pi and - pi for question 9. Would that give me consequential marks...
Didn't write the 2pi n

same

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Beatifique on November 07, 2018, 01:21:27 pm

For the question about giving the definite integral I wrote $\int_0^2 f(x)-g(x) dx$ without putting in the actual numbers, could i still get the mark?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: passbleh24 on November 07, 2018, 01:23:01 pm

Quote from: Beatifique on November 07, 2018, 01:21:27 pm

For the question about giving the definite integral I wrote $\int_0^2 f(x)-g(x) dx$ without putting in values, could i still get the mark?

yea I think so, because they were defined previously.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: S_R_K on November 07, 2018, 01:27:00 pm

Quote from: DinWell on November 07, 2018, 12:03:51 pm

Every year people say that their exams are harder than previous years cause they do it under stressful exam conditions. It would be great if someone who didn't do methods this year gave their opinion on this years exam difficulty.

Overall, pretty decent, if not slightly on the easy side. What distinguished this year from the last couple of years was mainly the massive difficulty spike of Q9 compared to the earlier questions. Not so much because Q9 was extremely hard, but mostly because the earlier questions were unusually easy.

Q9 had echoes of Question 4 from 2015 Exam 2, so students with lots of experience doing past VCAA Qs would have found that question relatively accessible.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Onyx on November 07, 2018, 01:27:18 pm

For question 5a and 5B, for 5a I wrote d/dx(√(p^(2)+(2*p-4)^(2)))=0, but when I expanded the polynomial i did it wrong by expanding incorrectly.... so I ended up getting (4/5,-4/5) for the coordinates. And then for part B i used those coordinates to get the distance... how much marks will I get out of 5?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: crouchie on November 07, 2018, 01:38:44 pm

Quote from: dantraicos on November 07, 2018, 01:14:15 pm

Lots of people have already done solutions. I thought I'd contribute :D.

Was definitely an interesting exam. A+ cutoff will be 33-34 / 40 I think.

Well done. MathType + Word for the win!

What software did you use to draw the graph of f(x) in Q3b? I use FX Graph but your one has the exact same axes as the VCAA one. Extremely jealous :P

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on November 07, 2018, 01:48:26 pm

Quote from: crouchie on November 07, 2018, 01:38:44 pm

Well done. MathType + Word for the win!

What software did you use to draw the graph of f(x) in Q3b? I use FX Graph but your one has the exact same axes as the VCAA one. Extremely jealous :P

Thanks for posting your solutions, too, crouchie! :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: benmcleod on November 07, 2018, 01:49:15 pm

Quote from: Dais_Deorum on November 07, 2018, 01:03:52 pm

If it doesn't say to put down the x-intercepts, do you still have to do it? I just assumed that because it asked for endpoints and the minima that you didn't need to. Ehhhh

Because the previous question made you work out the x-ints, they didn't require it on the graph. Otherwise it would be double dipping on the marks.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 01:50:32 pm

Quote from: crouchie on November 07, 2018, 01:38:44 pm

Well done. MathType + Word for the win!

What software did you use to draw the graph of f(x) in Q3b? I use FX Graph but your one has the exact same axes as the VCAA one. Extremely jealous :P

Haha, yeah, MathType is great. I was thinking of doing it in LaTeX but thought I'd stick to the style of all the other TWM Publications stuff.

The graph was done in Microsoft word. Insert chart, scatter with smooth lines. Because I write exams, I've memorised the VCAA style guide :P

Here's a link to a word doc containing just the graph for you to analyse :D
https://www.dropbox.com/s/pghxs6okrlwv0iv/MME1%20Graph.docx?dl=0

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DoingExamsATM on November 07, 2018, 01:51:29 pm

I wonder if I'm the only one who found this one difficult. Usually exam 1 goes like this; very easy questions 1-5, slightly harder 6-8, then a very hard last one. This year though, certain components of the last 2 questions were near impossible within the time frame, as well as a few other very difficult bits plopped here and there. This is surprising for me to say, since I did plenty (maybe even too many) practice exams, always getting above 85% and accomplishing the questions that stumped most students.

Based on the answers somebody posted, I only got 29/40 :/ I'm going to have to absolutely smash exam 2 to get any hope of getting low to mid 40s. Luckily to get into unimelb I only need an ATAR around 80, but that still requires a few 40s

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: jazzycab on November 07, 2018, 01:55:35 pm

The probability was very weak on exam 1 and statistics entirely non-existent. I'd be willing to bet there'll be a fairly hefty extended response question on Prob/Stats tomorrow

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DoingExamsATM on November 07, 2018, 02:00:30 pm

Quote from: DinWell on November 07, 2018, 11:58:06 am

What do you think the cutoff will be? Personally, I thought 2017 was slightly harder that this years. I'm in no way stellar at methods but I think I got full marks for the last 3/4 pages.

In my opinion this year's was much harder. The "hardest" part about 2017 was noticing that the tangent isn't quite what it seems on the diagram, but that's it. It's just areas, and 2 perpendicular tangents crossing. There's also that argument about whether derivatives exist about endpoints, but I don't remember anything about that in the study design so it's doable anyway.

This year though? Sheesh, it's determining a general equation, finding the area of a complicated shape (that had to be simplified in your own way), some fairly long integrals etc. You're definitely stellar at methods, I did dozens of practice exams for each exam, normally getting well above 85%, but this one stumped be a bit.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: hums_student on November 07, 2018, 02:10:45 pm

Holy fk that exam was an absolute massacre.
I got 9pi^2 - 36pi for that last question and realised too late that it was negative...

The utter absence of statistics and composite function - related questions was actually disgusting.

Also can anyone explain to me why for that inverse function question, you had to reject the negative answer? I thought you have to leave the plus-or-minus sign in there.

Final question, what grade would a 27~29/40 be on that exam?

Cheers.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: juicethelemon on November 07, 2018, 02:15:02 pm

Quote from: Lsjnzy13 on November 07, 2018, 02:10:45 pm

Holy fk that exam was an absolute massacre.
I got 9pi^2 - 36pi for that last question and realised too late that it was negative...

The utter absence of statistics and composite function - related questions was actually disgusting.

Also can anyone explain to me why for that inverse function question, you had to reject the negative answer? I thought you have to leave the plus-or-minus sign in there.

Final question, what grade would a 27~29/40 be on that exam?

Cheers.

for the inverse question you had to relate to the range of f(x) which I think was [0, infinity) if I remember correctly therefore the domain of the inverse was positive sides and all that shenanigans

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: passbleh24 on November 07, 2018, 02:21:43 pm

I only wrote pi and - pi for question 9. Didn't write the 2pi n
It also said n was 0 or positive. So I thought it had a definite answer. Would that give me consequential marks ?

Thanks

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 02:22:25 pm

Can any mods/admins here tell my why my solutions just got taken down for "copyright" reasons?
> They're my solutions.
> They don't contain any part of the actual exam book.
> Yes, they're on another site, but I put them there too.
I understand if I've broken any rules - I'd just like to know exactly what I did wrong :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: vox nihili on November 07, 2018, 02:24:51 pm

Quote from: dantraicos on November 07, 2018, 02:22:25 pm

Can any mods/admins here tell my why my solutions just got taken down for "copyright" reasons?
> They're my solutions.
> They don't contain any part of the actual exam book.
> Yes, they're on another site, but I put them there too.
I understand if I've broken any rules - I'd just like to know exactly what I did wrong :)

Sorry mate, I took them down. We've been really disappointed by the constant breaches of copyright on the exam discussion threads and thought that yours was another. Many apologies for taking the solutions down. I'll try to restore them so that everyone here can benefit from your excellent work.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 02:29:25 pm

Quote from: Lsjnzy13 on November 07, 2018, 02:10:45 pm

Holy fk that exam was an absolute massacre.
I got 9pi^2 - 36pi for that last question and realised too late that it was negative...

The utter absence of statistics and composite function - related questions was actually disgusting.

Also can anyone explain to me why for that inverse function question, you had to reject the negative answer? I thought you have to leave the plus-or-minus sign in there.

Final question, what grade would a 27~29/40 be on that exam?

Cheers.

I thought the exam was comparable to past exams so you would be roughly around the borderline of a B+ and an A.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 02:33:53 pm

Quote from: vox nihili on November 07, 2018, 02:24:51 pm

Sorry mate, I took them down. We've been really disappointed by the constant breaches of copyright on the exam discussion threads and thought that yours was another. Many apologies for taking the solutions down. I'll try to restore them so that everyone here can benefit from your excellent work.

No worries! I completely understand. To avoid them being taken down again (we'll be doing methods exam 2, the specialist exams, chemistry and physics as well), how should I show in future posts that they're in fact our solutions?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: vox nihili on November 07, 2018, 02:43:43 pm

Quote from: dantraicos on November 07, 2018, 02:33:53 pm

No worries! I completely understand. To avoid them being taken down again (we'll be doing methods exam 2, the specialist exams, chemistry and physics as well), how should I show in future posts that they're in fact our solutions?

Going to reply to this here and derail the discussion, but as long as you acknowledge in the post that they're yours we shouldn't delete them (which you did do, I just didn't read your post completely). All in all very much a dopy currently-post-exam moderator. Thanks a lot for your help and understanding :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on November 07, 2018, 02:50:02 pm

Quote from: dantraicos on November 07, 2018, 02:33:53 pm

No worries! I completely understand. To avoid them being taken down again (we'll be doing methods exam 2, the specialist exams, chemistry and physics as well), how should I show in future posts that they're in fact our solutions?

Love your work!

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 07, 2018, 02:51:25 pm

Quote from: vox nihili on November 07, 2018, 02:24:51 pm

Sorry mate, I took them down. We've been really disappointed by the constant breaches of copyright on the exam discussion threads and thought that yours was another. Many apologies for taking the solutions down. I'll try to restore them so that everyone here can benefit from your excellent work.

Last year, a copy of the exam was posted in the very first message in the thread within minutes of every math exam. No one complained then. What changed?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on November 07, 2018, 02:55:45 pm

Quote from: Mattjbr2 on November 07, 2018, 02:51:25 pm

Last year, a copy of the exam was posted in the very first message in the thread within minutes of every math exam. No one complained then. What changed?

Appreciate the question - definitely does seem inconsistent, and we should have made this clear sooner. We've since changed our policy and won't be uploading exams as per this post. Please contact me privately if you have any further questions/issues regarding this - we'll keep this thread for exam discussion. :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: vox nihili on November 07, 2018, 03:15:57 pm

Anyway with that lovely example of dopey modding over, we've put back up the methods answers!!!

https://atarnotes.com/forum/index.php?topic=181367.msg1082583#msg1082583

Click on the above post and give it a bloody well-deserved upvote :D

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DoingExamsATM on November 07, 2018, 03:20:54 pm

Quote from: Lsjnzy13 on November 07, 2018, 02:10:45 pm

Holy fk that exam was an absolute massacre.
I got 9pi^2 - 36pi for that last question and realised too late that it was negative...

The utter absence of statistics and composite function - related questions was actually disgusting.

Also can anyone explain to me why for that inverse function question, you had to reject the negative answer? I thought you have to leave the plus-or-minus sign in there.

Final question, what grade would a 27~29/40 be on that exam?

Cheers.

I reckon I got around 28-29/40 as well. Based on previous years that will get you a low A. I reckon this year's was much harder than previous years (I've done extensive practice and error correcting), so it might be more of a mid A this year.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: crouchie on November 07, 2018, 03:54:31 pm

Quote from: Joseph41 on November 07, 2018, 01:48:26 pm

Thanks for posting your solutions, too, crouchie! :)

You're welcome. It was a lot of fun to type up, and to see dantraicos do something similar too.
Well-typeset maths is just gorgeous to look at, isn't it?
8)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 04:00:55 pm

Quote from: crouchie on November 07, 2018, 03:54:31 pm

You're welcome. It was a lot of fun to type up, and to see dantraicos do something similar too.
Well-typeset maths is just gorgeous to look at, isn't it?
8)

MathType and LaTeX are just amazing :D

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: crouchie on November 07, 2018, 04:03:54 pm

Quote from: dantraicos on November 07, 2018, 01:50:32 pm

Haha, yeah, MathType is great. I was thinking of doing it in LaTeX but thought I'd stick to the style of all the other TWM Publications stuff.

The graph was done in Microsoft word. Insert chart, scatter with smooth lines. Because I write exams, I've memorised the VCAA style guide :P

Here's a link to a word doc containing just the graph for you to analyse :D
https://www.dropbox.com/s/pghxs6okrlwv0iv/MME1%20Graph.docx?dl=0

Thanks for that Dan. That graph has so many components to it, I'd never get to that level. It's literally a bunch of lines, dashes etc put together to create that. I wish I had the patience to smash that out, but I use FX Graph to do all that (though the results just aren't as pretty as yours) ;)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Joseph41 on November 07, 2018, 04:06:48 pm

Quote from: crouchie on November 07, 2018, 03:54:31 pm

You're welcome. It was a lot of fun to type up, and to see dantraicos do something similar too.
Well-typeset maths is just gorgeous to look at, isn't it?
8)

Truly a thing of beauty!

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 04:12:12 pm

Quote from: crouchie on November 07, 2018, 04:03:54 pm

Thanks for that Dan. That graph has so many components to it, I'd never get to that level. It's literally a bunch of lines, dashes etc put together to create that. I wish I had the patience to smash that out, but I use FX Graph to do all that (though the results just aren't as pretty as yours) ;)

It isn't too much work once you know VCAA's style guide, but it is an incredibly steep learning curve. It took me all of the summer holidays to get right. Today, that figure took me just under 20 minutes to make. Microsoft Word does all the axes, gridlines and graph part. I just put in the axes numbers :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: cbeccia on November 07, 2018, 04:34:32 pm

Hi,

For question 7, part a) was worth 3 marks, my thinking was correct, however due to a silly error in finding the derivative I did not end up with the correct coordinate. I then used the incorrect coordinate for the next question (worth 2 marks). Does consequential marking have an effect here? Will I pick up maybe 1-2 marks in the 3 mark part at least? Or will my score for that question be 0/5?

Thanks in advance :)

Also, huge thanks to the multiple people who posted up solutions, much appreciated!

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: AlphaZero on November 07, 2018, 04:41:41 pm

Quote from: cbeccia on November 07, 2018, 04:34:32 pm

Hi,

For question 7, part a) was worth 3 marks, my thinking was correct, however due to a silly error in finding the derivative I did not end up with the correct coordinate. I then used the incorrect coordinate for the next question (worth 2 marks). Does consequential marking have an effect here? Will I pick up maybe 1-2 marks in the 3 mark part at least? Or will my score for that question be 0/5?

Thanks in advance :)

Also, huge thanks to the multiple people who posted up solutions, much appreciated!

You can only get consequential marks for method marks, so as long as your distance formula (with the wrong coordinates) was correct, you'll get a mark there.

As for the first part, you would lose the answer mark, but as long as you showed use of the chain rule and obtained a value from setting the derivative to 0, then you should get 1 or 2.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: KingKE5 on November 07, 2018, 05:13:01 pm

Does anybody know the mark allocation for each question? Trying to see how I went but the solutions don't say how much each question was worth. Thanks

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 05:20:39 pm

Quote from: KingKE5 on November 07, 2018, 05:13:01 pm

Does anybody know the mark allocation for each question? Trying to see how I went but the solutions don't say how much each question was worth. Thanks

Mark Allocations

Q1a - 1 mark
Q1b - 2 marks
Q2 - 3 marks
Q3a - 2 marks
Q3b - 3 marks
Q4a - 1 mark
Q4b - 1 mark
Q5 - 3 marks
Q6a - 2 marks
Q6b - 2 marks
Q7a - 3 marks
Q7b - 2 marks
Q8a - 1 mark
Q8b - 2 marks
Q8c - 1 mark
Q8d - 3 marks
Q9ai - 2 marks
Q9aii - 1 mark
Q9b - 2 marks
Q9c - 1 mark
Q9d - 2 marks

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: zoefiggis on November 07, 2018, 05:31:31 pm

yo if anyone has a copy of the exam could they please post how many marks each question was worth, trying to add up my marks
thanks! :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Lear on November 07, 2018, 05:35:16 pm

It’s quite literally posted right above you.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Dais_Deorum on November 07, 2018, 05:59:26 pm

In the latter stages of the exam, I was running out of time and skipped a bit of important working to get to the answering. It was the right answer, but idk how strict the examiners are. What is the 'line' for when there is not enough working out?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: bea420 on November 07, 2018, 06:12:57 pm

Quote from: zoefiggis on November 07, 2018, 05:31:31 pm

yo if anyone has a copy of the exam could they please post how many marks each question was worth, trying to add up my marks
thanks! :)

hahah i see you zoe ;))

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: georgehanna on November 07, 2018, 06:46:46 pm

Hi Everyone
Any hope to find a copy of the MM Exam 1?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Sine on November 07, 2018, 06:57:38 pm

Quote from: georgehanna on November 07, 2018, 06:46:46 pm

Hi Everyone
Any hope to find a copy of the MM Exam 1?

Sorry, from this year copies of VCAA exams will not be posted on ATAR Notes as these exams are subject to copyright.

Please have a read of the following post by K888 which reiterates this.
https://atarnotes.com/forum/index.php?topic=182246.0

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 07, 2018, 09:29:58 pm

My teacher confirmed
9ai: pi(4n+1)
9aii: -pi(4n+1).
Do you guys think that will be accepted? If not, will i at least get 1 mark of out 3 for the working?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: hums_student on November 07, 2018, 09:59:16 pm

Quote from: Mattjbr2 on November 07, 2018, 09:29:58 pm

My teacher confirmed
9ai: pi(4n+1)
9aii: -pi(4n+1).
Do you guys think that will be accepted? If not, will i at least get 1 mark of out 3 for the working?

Hold up - every solutions thingo I've seen has +/-pi(2n+1) (also the answers I got)
Where did you get 4n from

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 07, 2018, 10:01:59 pm

Quote from: Mattjbr2 on November 07, 2018, 09:29:58 pm

My teacher confirmed
9ai: pi(4n+1)
9aii: -pi(4n+1).
Do you guys think that will be accepted? If not, will i at least get 1 mark of out 3 for the working?

Yeah, I don't know why you're teacher confirmed those solutions, unless I'm missing something.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 08, 2018, 08:54:20 am

Quote from: DinWell on November 07, 2018, 10:01:59 pm

Yeah, I don't know why you're teacher confirmed those solutions, unless I'm missing something.

:'(

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: WrongWong on November 08, 2018, 11:19:10 am

Quote from: Mattjbr2 on November 07, 2018, 09:29:58 pm

My teacher confirmed
9ai: pi(4n+1)
9aii: -pi(4n+1).
Do you guys think that will be accepted? If not, will i at least get 1 mark of out 3 for the working?

It would be 4n if n was any integer, but because the question explicitly states that n is even (part i) and n is odd (part ii) the correct answer is the one involving 2n.

I've done a mock of solutions here: https://drive.google.com/file/d/1hGcrpUJ8ZDRwrNhTRcALI2slH4exFqTL/view?usp=sharing

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 08, 2018, 11:28:02 am

Quote from: WrongWong on November 08, 2018, 11:19:10 am

It would be 4n if n was any integer, but because the question explicitly states that n is even (part i) and n is odd (part ii) the correct answer is the one involving 2n.

I've done a mock of solutions here: https://drive.google.com/file/d/1hGcrpUJ8ZDRwrNhTRcALI2slH4exFqTL/view?usp=sharing

Thank you so much for typing that up. Absolute legend.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 08, 2018, 11:42:17 am

Quote from: WrongWong on November 08, 2018, 11:19:10 am

It would be 4n if n was any integer, but because the question explicitly states that n is even (part i) and n is odd (part ii) the correct answer is the one involving 2n.

I've done a mock of solutions here: https://drive.google.com/file/d/1hGcrpUJ8ZDRwrNhTRcALI2slH4exFqTL/view?usp=sharing

Could you please explain how you'd get 4n if n was any integer? I was under the impression that you can't simplify it if they didn't explicitly say that it was odd or even.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: DinWell on November 08, 2018, 12:36:11 pm

Quote from: Mattjbr2 on November 07, 2018, 09:29:58 pm

My teacher confirmed
9ai: pi(4n+1)
9aii: -pi(4n+1).
Do you guys think that will be accepted? If not, will i at least get 1 mark of out 3 for the working?

I'm curious as to how you arrived at 4n? Do you remember what you did?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: WrongWong on November 08, 2018, 01:13:55 pm

Quote from: DinWell on November 08, 2018, 11:42:17 am

Could you please explain how you'd get 4n if n was any integer? I was under the impression that you can't simplify it if they didn't explicitly say that it was odd or even.

If n was any integer and the question was still asking for the bounds to be even then odd (part i). Then we would have to integrate xsin(x) as:

$ \int_{(2n) \pi} ^{(2n+1) \pi} x \sin(x) dx = \left[ \sin(x) - x \cos(x) \right]_{(2n) \pi}^{(2n+1) \pi} \\ $

As if k is an even integer, then k = 2n when n is an integer, if k is odd, k = 2n+1 where n is an integer.

$ = [\sin((2n+1)\pi) - ((2n+1)\pi)\cos((2n+1)\pi)] - [\sin((2n)\pi) - ((2n)\pi) \cos((2n)\pi)] \\ = [0 - (-1) (2n+1) \pi] - [0 - (2n)\pi]\\ = (2n+1)\pi + (2n)\pi = (4n+1)\pi $

We do the same process but with 2n+1 is as the lower bound and 2n as the upper bound for part ii resulting in -(4n+1) pi.

Mattjbr2's teach got it wrong :P

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mattjbr2 on November 08, 2018, 01:25:01 pm

Quote from: DinWell on November 08, 2018, 12:36:11 pm

I'm curious as to how you arrived at 4n? Do you remember what you did?

I just redid the calculation, i was wrong. I have no idea how i arrived at it at the time.
My teacher probably made the same silly mistakes i did ::)
Anyway goodluck everyone!

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: popcorndudette on November 08, 2018, 08:43:49 pm

Will I be punished for not simplifying root(1/x) to 1/root(x)?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Mohammed Islam on November 09, 2018, 10:50:38 am

Anyone has MM exam 2 solution ?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: Lear on November 09, 2018, 10:54:04 am

They are in the exam 2 discussion thread.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: JamesMaths on November 10, 2018, 11:53:27 pm

Here is my solution to the Maths Methods Exam 1 paper.

PDF on my web site:
https://unimelb.academia.edu/JamesCui

Provide Tutorials in Maths Methods and Specialist Maths in Balwyn.

Regards

James.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: hums_student on November 11, 2018, 08:01:12 pm

I know methods 1 is kinda irrelevant now but what do people think is the mark allocation for the final question? It required an awful amount of working out for a question of only 2 marks.

If I got the 9pi^2 bit, but messed up calculations on the unshaded area (18pi) would that still get one mark?

Cheers.

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: turtlesforeveryone on November 12, 2018, 08:53:09 pm

Hi guys!

I'm just a lowly year 9 who attempted this year's method 1 exam a day after it was officially issued to you all. Of course, home timed conditions don't compare to the stress of the actual exam.

For me, while I was told the last two questions were really hard, I found question 8 quite standard, and didn't find it hard at all. The big kicker of course was question 9, and the last section of question 9 was so convoluted that I couldn't finish it within the allocated time. Having no knowledge of previous methods exams I would say the last question is definitely time consuming and I wouldn't bother trying to finish the last one unless I was confident in my other answers. ;D

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: not.yet.a.nerd on November 15, 2018, 11:20:40 am

@turtlesforeveryone how is it that you're able to do the yr 12 methods exam as a year 9 student? :o are you going to do 3/4 methods next year or something?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: S200 on November 15, 2018, 11:35:00 am

Quote from: not.yet.a.nerd on November 15, 2018, 11:20:40 am

@turtlesforeveryone how is it that you're able to do the yr 12 methods exam as a year 9 student? :o are you going to do 3/4 methods next year or something?

As per this thread, turtlesforeveryone is not your common or garden variety Yr 9... Are any of the Yr 9's on here for that matter?

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: informationenthusiast on December 27, 2018, 01:33:26 pm

Do people know when the examiners report will be released? Very curious to see the percentage who answered the last few questions correctly

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: racheljanee on December 27, 2018, 05:34:01 pm

Quote from: informationenthusiast on December 27, 2018, 01:33:26 pm

Do people know when the examiners report will be released? Very curious to see the percentage who answered the last few questions correctly

Last year's exam reports were released around March/April so I'd expect the same for this year :)

Title: Re: Maths Methods (Exam 1): Discussion, Questions & Potential Solutions
Post by: informationenthusiast on December 27, 2018, 05:43:00 pm

Quote from: racheljanee on December 27, 2018, 05:34:01 pm

Last year's exam reports were released around March/April so I'd expect the same for this year :)

sweet, thanks ;D

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Archived Discussion => VCE Exam Discussion 2018 => Results Discussion => Victoria => VCE Maths Exams => Topic started by: Joseph41 on October 09, 2018, 03:24:54 pm