HSC Stuff > HSC Mathematics Advanced

Mathematics Challenge Marathon

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RuiAce:
Here, I will occasionally post challenge questions for the daring 2U (and above) student to attempt.

Questions are not intended to reflect the scope of the difficulty in actual HSC questions, however may be completed using only knowledge taught in the course. Spoilers are intended to reveal what topics to draw knowledge from when a genuine, unaided attempt has been unsuccessful.

I invite everyone to also post their own questions at their discretion.





SpoilerRequired knowledge: Preliminary Basic Arithmetic & Algebra, Preliminary The Quadratic Function

brenden:

--- Quote from: RuiAce on February 16, 2016, 09:09:21 am ---Here, I will occasionally post challenge questions for the daring 2U (and above) student to attempt.

Questions are not intended to reflect the scope of the difficulty in actual HSC questions, however may be completed using only knowledge taught in the course. Spoilers are intended to reveal what topics to draw knowledge from when a genuine, unaided attempt has been unsuccessful.

I invite everyone to also post their own questions at their discretion.





SpoilerRequired knowledge: Preliminary Basic Arithmetic & Algebra, Preliminary The Quadratic Function
--- End quote ---
Awesome!!

Happy Physics Land:
Good stuff Rui, you can finally share your wisdom with this awesome community!

KoA:
Solution

keltingmeith:

--- Quote from: KoA on February 16, 2016, 05:09:45 pm ---Solution
--- End quote ---

Your solution for the first isn't too bad! But, you've only proven that:



You need to have another shot at proving the other way round, methinks. ;) (albeit, the other way round is a LOT more difficult, and requires more logical reasoning than straight up mathematics)

I love just how smoothly you put that into the second half of the question, though! Absolutely smashed it.

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