Here are a selection of STEP questions which involve some geometrical thinking. Some involve getting a really clear diagram or representation, especially those involving 3D geometry. Vectors might be a useful strategy for some. Others lend themselves to a coordinate geometry approach. You will draw on lots of other areas of mathematical expertise while working through these.
Past papers can be downloaded from here.
Past papers can be downloaded from here.
| Year | Paper | Question | Worked Example |
| 1998 | III | 6 | full solution |
| 1999 | III | 4 | |
| 2000 | III | 1 | |
| 2001 | I | 1 | |
| 2001 | II | 3 | |
| 2002 | II | 6 | |
| 2003 | II | 4 | |
| 2003 | III | 7 | |
| 2004 | I | 6 | |
| 2004 | II | 4 | |
| 2005 | I | 2 | |
| 2005 | II | 5 | |
| 2006 | I | 2 | |
| 2006 | I | 8 | full solution |
| 2007 | I | 5 | |
| 2008 | III | 3 | |
| 2009 | II | 1 | |
| 2009 | III | 1 | |
| 2010 | II | 6 | |
| 2010 | III | 5 |