The OMK 2015 questions may be downloaded at the link below (by PERSAMA – Persatuan Matematik Malaysia) :
http://persama.org.my/documents/SoalanOMK2015.pdf
Here is a possible solution attempt at that paper:
(Note: OMK = Olimpiad Matematik Kebangsaan = Malaysian National Mathematical Olympiad ; Category “Muda” is for form 3 & form 4 students):
A Classic (i) Old Way According to the old way, it should be Answer = 6 /[2*(1 +…
Question I wrote down all integers from 1 to 711. Next, I added up all the digits that…
Question A circular cylinder is to fit inside a sphere of radius 10 cm. Calculate the maximum possible…
This sample question is from a well reputed Local Chinese Math Olympiad contest
Malaysian IMO Selection Test 2017 (held on 6 November 2016, Junior category) *Included, my solution attempts too during…
Answer I will use the symbol sqrt to mean “square root”. Note that sqrt ( 25 p^2 )…
