### FREE download: 2023 NSW ESA Mathematics Standard 2 Solutions

Monday, October 23rd, 20232023 NSW ESA Mathematics Standard 2 Solutions – PDF 185 KB

Thanks to Lyn Harris for checking and correcting the solutions.

2023 NSW ESA Mathematics Standard 2 Solutions – PDF 185 KB

Thanks to Lyn Harris for checking and correcting the solutions.

2023 NSW ESA Mathematics Extension 2 Solutions – PDF 102 KB

Thanks to Lyn Harris for checking and correcting mistakes.

2023 VCAA Mathematical Methods Exam 2 Sample Questions Solutions – PDF 80 KB

Thanks to Nora Seigel for pointing out the correct answers to Q1d and Q2c are 0.0036 and 98.1% respectively.

Thanks to Linda Harland of Haileybury College for pointing out mistakes in MQ 6 and 7

2023 VCAA Specialist Mathematics Exam 2 Sample Questions Solutions – PDF 123K

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.

2023 VCAA Specialist Mathematics Exam 1 Sample questions Solutions – PDF 65 KB

Thanks to Ethan Zhang for pointing out that in Q4 the proof by contradiction was incorrectly constructed. File updated.

2022 VCAA Physics Exam Solutions – PDF 145 KB

2022 VCAA Specialist Mathematics Exam 2 Solutions– PDF 107 KB

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)).

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.

2022 NSW ESA Mathematics Standard 2 Solutions – PDF 137 KB

Thanks to Lyn Harris for checking the solutions and correcting mistakes.

2022 NSW ESA Mathematics Standard 1 Solutions – PDF 120 KB

Thanks to Lyn Harris for checking the solutions and correcting mistakes.