A maths challenge for champions
Polytechnic University runs the annual Senior Secondary Science and Mathematics Competitions (SSSMC) to promote students' interest in maths, physics, chemistry and biology. The contest is held each year in April.
Entries for this year's competition have already closed, but whether your application has been successful or not, you can still get a taste of what the competition involves. Young Post will be running sample questions on a different topic every week. More questions can be found on yp.scmp.com. The answers will be published the following week, as well as questions on the new topic.
This week, we feature two sample maths questions. Challenge yourself, and check the answers online next week!
1 Let a, b and c be positive integers. Find the value of c if c = (a + bi)^2 - 34i
2 The 5040 permutations of HKPOLYU are arranged in dictionary order.
The third letter of the 2011th word on this list is:
3 Let (3y^2- 35)(x^2- 2) = 442, where x and y are integers. Find the value of (x^2)(Y^2).