The Society awards several Prizes each year for achievements in and contributions to Mathematics. There are seven Prizes and one Medal awarded regularly by Council: the De Morgan Medal (triennial), the Polya Prize (two years out of three), the Senior Berwick Prize, the Senior Whitehead Prize, the Naylor Prize and Lectureship, the Berwick Prize and the Fröhlich (biennial) and the Whitehead Prizes (annual).

In addition, the Society jointly with the Institute of Mathematics and its Applications awards the David Crighton Medal and the Christopher Zeeman Medal.

The Society annually awards a Cecil King Travel Scholarship in Mathematics to a young mathematician of outstanding promise, to support a period of study or research abroad for a typical period of three months, to enhance his or her studies and further his or her career development. The Scholarship was established in 2001 by the Cecil King Memorial Fund.

• 2010 Prizes announcement and call for nominations
• 2009 David Crighton Medal Lecture to be delivered by Prof H Keith Moffatt on 17 March 2010
• 2009 Prize winners and citations
• The David Crighton Award for 2009
• Honorary Members 2008
• List of Prize winners
• List of Honorary Members (PDF)
• Summary of regulations
• IMA-LMS David Crighton Award
• IMA-LMS Christopher Zeeman Medal
• Cecil King Travel Scholarship
• International Prizes for Mathematics