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Author Topic: Sample solutions to QCAA's sample papers  (Read 5891 times)

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RuiAce

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Sample solutions to QCAA's sample papers
« on: August 12, 2019, 06:40:36 pm »
+6
Remember to register here for FREE to ask any questions you may come across in your QCE studies!

To get a better feel for how your exams will be administered, I will release solutions to the sample papers QCAA have recently released. For Maths Methods, the papers can be accessed here.

Note that these solutions serve only as samples and are not endorsed by any other party.

Paper 1 (Technology-free)

Multiple choice


Questions 11-14


Questions 15-17
I should mention here that there is something I'm a bit iffy about regarding Q15. The mark allocations seem a bit off to me. The main thing is that in theory, candidate points of inflection should always be tested for concavity - this should not just be assumed, as is possibly the case in part c). Yet something "similar" to a test for concavity change appears in the next part.

Reminder that these are not endorsed by any other party, and hence not by QCAA either. It will be interesting to see what they do when they release their own solutions, assuming they will.


Questions 18-19


Paper 2 (Technology-active)

Multiple choice Questions 1-5
Edit: I wrote these solutions under the assumption that you might know how to use list-like things on calculators. In hindsight, I don't know why I assumed that, because they're like vectors (i.e. a specialist maths concept). Perhaps, you just need to sub into the trapezoidal rule formula very slowly, realistically speaking.


Multiple choice Questions 6-10


Questions 11-13


Questions 14-16
There's something I'm uncomfortable about with Q15b, which I noted on the solutions as well. I had to just assume that \(\hat p = 0.64\), i.e. the actual population proportion for this question. Right now, i'm not convinced that this assumption is reasonable, or at least it's not well justified.


Questions 17-20
Note: In hindsight, I may have taken the wrong way out with Q20. I used the graphics calculator to solve that equation with the integral in it, simply because I was rushing too hard to integrate a log. I think the original intended idea was to rearrange \(y=\ln (5x+e)-1\) into \(x=\frac{e}{5}(e^x - 1)\), and compute a corresponding integral with respect to the \(y\)-axis.

Nevertheless, can't exactly fault the method I took, I believe.

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« Last Edit: January 05, 2020, 10:36:18 pm by RuiAce »

RuiAce

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Re: Sample solutions to QCAA's sample papers
« Reply #1 on: January 04, 2020, 09:25:18 pm »
+3
Gonna bump this thread now as I've just finished the solutions to paper 2 of this exam. You can now use both exams as part of your study whenever you feel is appropriate.

Specialist exam will be done within the next 24 hours so I won't bump that one separately tomorrow Edit: There's been a change in circumstance. So I will make a bump about it when the time comes..

Let me know if there are any errors you find in the solutions. :)
« Last Edit: January 04, 2020, 10:17:31 pm by RuiAce »