The BAC Strikemaster is the same aircraft as a Jet Provost (the piston version being recorded elsewhere in this blog). As a militarised trainer, the aircraft looks very aerobatic in display. Powered by a Rolls-Royce Viper Mk.535 turbojet producing 3,410 lbf (15.2 kN).
Doing a bit of digging around using the aircraft serial number, this may not be the billed Strikemaster but a T.3 Jet Provost. Some information from Jet Provost Heaven
Jet Provost T.3 XN637 was built by Hunting-Percival at Luton, and after flight tests was declared ready for collection on 31st August 1961. It was ferried from Luton to RAF Shawbury a week later (7th September) where it went to 27MU, for final preparations for RAF service began. On 5th October 1961, XN637 was issued to No 3 Flying Training School (3FTS), based at RAF Leeming in Yorkshire. This Unit had reformed the previous month as a Jet Provost squadron. XN637 remained in service, latterly as aircraft number ’13′, until January 1963 when it returned to RAF Shawbury for storage. It stayed mothballed with 27MU for nearly ten years until November 11th 1972, when it was moved to RAF Kemble for further storage, this time with 5MU. On 14th February 1973 XN637 was officially declared a NEA – Non Effective Airframe, and within a month it had been struck off charge
Audio clip: Adobe Flash Player (version 9 or above) is required to play this audio clip. Download the latest version here. You also need to have JavaScript enabled in your browser.
Here’s a snap of the photo during the display. The serial number on the plane in the photo confirms a Jet Provost (?).

BAC Strikemaster, Old Warden, 2nd August 2009
Recorded on 2nd August 2009, Old Warden, Beds, UK.