## Archive for the ‘2022 Maths’ Category

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.

Monday, November 7th, 2022

2022 NSW ESA Mathematics Standard 1 Solutions – PDF 120 KB

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

Sunday, November 6th, 2022

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

Thanks to Phil Garton for pointing out the following typos. In Q1c, y=2x-24, in Q3bi, definite integral limit from 2.5 to 3.

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.

Friday, November 4th, 2022

2022 NSW ESA Mathematics Advanced Solutions – PDF 83 KB

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

Wednesday, November 2nd, 2022

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

Wednesday, November 2nd, 2022

Thanks to Bahrudin Efendic of Minaret College for checking the solutions, correcting mistakes and providing valuable suggestions.

Thanks to Phil Garton for pointing out the following mistakes. In Networks and decision mathematics Q2d, H should be on one side of arc ED. In Core Q6d, deducing should be reducing.

Monday, October 31st, 2022

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