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Worked Solutions to the 2021 HSC Mathematics Extension 1 Exam

Each year, as soon as the paper is officially published, I work through the solutions to the latest HSC exam while we wait for the official solutions to be published.

Looking for the latest exam solutions? Get the 2023 solutions here: Worked Solutions to the 2023 HSC Mathematics Extension 1 Exam

You can find my complete handwritten solutions to all questions on the 2021 HSC Mathematics Extension 1 Exam here:

2021 HSC Mathematics Extension 1 Worked Solutions

Any corrections made to the answers will be posted here. If you find what you think may be an error, please let me know!

Very soon we will upload videos of detailed explanations for all questions on this latest test. You can subscribe to our YouTube channel to be notified when they are published, or check back here!

2021 students – congratulations on finishing Extension 1 maths! So awesome!


Thoughts on the Exam

Overall the exam was what I typically expect from the Extension 1 exam. I liked that there was a decent amount of questions testing the different aspects of the syllabus, as well as some good, challenging questions.

I think Question 14 (a) was the question I liked the least because I don’t like the physics part of the syllabus. Question 14 (c) was a little challenging, especially at first when figuring out how to approach it. Question 14 (d) was the most interesting to me since I love probability and statistics.

If you took the 2021 Mathematics Extension 1 exam, I’d love you hear your thoughts!

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