## Archive for the ‘Specialist Maths’ Category

Monday, May 15th, 2023

### FREE download: 2023 VCAA Specialist Mathematics Exam 2 Sample Questions Solutions

Saturday, February 25th, 2023

Thanks to Hao Wang for suggesting a geometric approach to Q1d in Section B. See solutions.

Wednesday, November 9th, 2022

Thanks to Michael Xu of Minaret College for checking and correcting mistakes.

Thanks to John Kermond for pointing out the following errors. These errors are a consequence of errors in the actual question:
1) A multiple choice question with no correct answer (Section A Q4).
2) A defective multiple choice question for which no answer can be calculated (Section A Q19)
3) A question that required students to make an unjustified and potentially dubious assumption, confusing some students (Section B Q6 part (f)).

In particular, Section A Q19:

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter. It is based on a given set of sample data.
The question does not give the sample mean. In fact, the question seems to be suggesting that a confidence interval for a sample mean based on the population mean should be calculated.
Furthermore, the question enables the population mean to be exactly calculated, which makes finding a confidence interval for the population mean pointless, assuming the sample mean was given and such a calculation able to be performed.

Saturday, November 5th, 2022

Thanks to Michael Xu of Minaret College for checking the solutions and correcting mistakes.

Thanks to Emma Mullane for pointing out that the itute solution to Q 3a states Pr(X>34)=9.8; it should be 0.98.

Saturday, September 3rd, 2022

Friday, August 19th, 2022

Sunday, July 24th, 2022