Practice questions
Original question sets written by Per Sir, modelled on past-paper style, with answers. Free to use — no sign-up, nothing to download.
These are not reproductions of HKEAA or IBO examination questions.
HKDSE Mathematics
Discriminant arguments, sum and product of roots, and a line meeting a curve. Includes two sub-types the 2014–2023 papers did not ask.
8 questions · Paper 1 long questions · September 2026
Twelve short questions on equal roots, substituting a root back, and symmetric functions of the roots. Most have a route that avoids the quadratic formula.
12 questions · Paper 2 multiple-choice · September 2026
How to use these
Work a set on paper before opening any answer. The answer is worth nothing; the reason it is the answer is the whole point. If a question defeats you twice, that topic is the one to bring to a lesson.
The full courses behind these sets are on the Mathematics page.