About one thousand students nationwide are invited to sit the British Maths Olympiad after their performances in the Senior Maths Challenge. Round 1 consists of six taxing questions, to be attempted in three and a half hours.
The first, and easiest, question this year was: ‘One number is removed from the set of integers from 1 to n. The average of the remaining numbers is 40.75 . Which integer was removed?’ The last question was solved by only two students: ‘Let a, b and c be the lengths of the sides of a triangle. Suppose that ab+bc+ca = 1. Show that (a+1)(b+1)(c+1) < 4.’
Ahead lies Round 2, sat by just 100 students, and the chance of a place in the British Maths Team and the International Maths Olympiad.