Repton School

General

Extreme Mathematics

Three pupils have all been awarded the certificate of distinction following their performances in the British Mathematical Olympiad Round 1 in December. They qualified for this after good performances in the UK Senior Maths Challenge in November.

 

Michael Fang L6O

Kadi Saar L6G

Cindy Zheng L6G

 

The exam, taken by the students in their own schools, is a 3½-hour paper with 6 problems and below is one of the taxing questions from this year’s paper.

 

Two circles, of different radius, with centres at B and C, touch externally at A. A common tangent, not through A, touches the first circle at D and the second at E. The line through A which is perpendicular to DE and the perpendicular bisector of BC meet at F. Prove that BC = 2AF.

 

Based on performances in Round 1, up to 100 students are invited to sit Round 2, a 3½-hour paper with 4 problems, on 28th January and we are delighted that Michael Fang has qualified for this.