## Archive for the ‘Specialist Maths’ Category

Tuesday, February 6th, 2024

Thursday, November 9th, 2023

Wednesday, November 8th, 2023

Thanks to Michael Xu, Minaret College, for checking the solutions and offering alternative approaches.

Saturday, November 4th, 2023

Thanks to Michael Xu, Minaret College, for checking the solutions and offering assistance.

Sunday, September 3rd, 2023

Saturday, July 29th, 2023

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.

Thanks to Owen Parris for pointing out that the answer to Question 4b should be a=1.

Thanks to Mohammad REHMAN of MHS for pointing out that the solution to Q1e was incomplete, expressing w in a+bi form was missing.

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.