STEP Questions Involving Geometry

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
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.

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