## Archive for the ‘Exams’ Category

Monday, October 23rd, 2023

2023 NSW ESA Mathematics Standard 2 Solutions – PDF 185 KB

Thanks to Lyn Harris for checking and correcting the solutions.

Sunday, October 22nd, 2023

2023 NSW ESA Mathematics Extension 2 Solutions – PDF 102 KB

Thanks to Lyn Harris for checking and correcting mistakes.

### FREE download: 2023 VCAA Mathematical Methods Exam 2 Sample Questions Solutions

Tuesday, February 28th, 2023

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

### FREE download: 2023 VCAA Mathematical Methods Exam 1 Sample Questions Solutions

Monday, February 27th, 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.

### FREE download: VCAA 2023 Specialist Mathematics Exam 1 Sample questions Solutions

Monday, February 6th, 2023

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

Friday, November 11th, 2022

2022 VCAA Physics Exam Solutions – PDF 145 KB

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.

Monday, November 7th, 2022

2022 NSW ESA Mathematics Standard 2 Solutions – PDF 137 KB

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