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Worked Solutions to the 2022 HSC Mathematics Advanced Exam

I have completed the solutions to the 2022 HSC Mathematics Advanced exam.

UPDATE: Looking for the latest exam solutions? Get the 2023 solutions here: Worked Solutions to the 2023 HSC Mathematics Advanced Exam

Thoughts on this year’s exam (link to the solutions is at the bottom of the post):

I think the multiple choice overall was mostly pretty easy if you knew the content well, except for the last two, Questions 9 and 10. Question 9 was probably difficult for most students to work out, although it is easy to explain and I think most would understand it once it was explained. Question 10 is difficult to even explain, but if you are very proficient with function composition you may have a chance!

Section II was similar, generally on the easier side if you know the content until you near the end. I appreciated that there were plenty of opportunities for students to demonstrate their knowledge and understanding of the various topics.

In regards to the challenging questions, Question 29 would probably make students uncomfortable, and the last part I took a wrong approach at first thinking we were setting up a inequality for just the first five rectangles and the area, as we had only integrated up to x = 5. That still makes more sense to me, but I guess it was the compromise since we don’t do improper integrals (to infinity) in any level of HSC Mathematics.

Question 30 may be tricky for many students but it is relatively easy if you’re familiar enough with continuous probability distributions and the cumulative distribution to set it up. Question 31, however, got me at first as I tried using an equation of a line first before realising we’d have to use the gradient (or similar triangles) to get the first result. Lastly, Question 32 is a lot but if you’ve practiced a lot with financial applications of series then it’s relatively doable. And take note of the twist ending in part (c), you have to apply 1 month of interest to the amount remaining after 83 months.

How did you all go with this exam? Which questions did you find the most difficult or interesting? Drop a comment or email me and let me know!

You can now watch a video of the worked solutions on your YouTube channel! Otherwise, see the link to the PDF of the worked solutions below.

My worked solutions can be found at the following link. If any errors are found, I will correct them and keep a log below. Please comment or email me if you find a mistake!

2022 HSC Mathematics Advanced Worked Solutions


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