Centroid, midpoint, altitudes of triangle.
[STEP I 1995 Question 7 (Pure)]
3D, non-parallel lines, shortest distance.
[STEP II 1993 Question 4 (Pure)]
Parallelogram, area of rectangle, projection, diagonals.
[STEP I 1990 Question 6 (Pure)]
Line, intersection, system of equation, scalars.
[STEP II 1989 Question 10 (Pure)]
Scalar product, triangle, line segments, inequality.
[STEP I 1989 Question 3 (Pure)]
3d surface, triangle, scalar product, cross product, locus, position vector.
[STEP II 1988 Question 10 (Pure)]
Intersection of plane and sphere, circle.
[STEP II Specimen Question 9 (Pure)]
Underground Mathematics: Selected worked STEP questions
STEP Question database
University of Cambridge Mathematics Faculty: What do we look for?
University of Cambridge Mathematics Faculty: Information about STEP
University of Cambridge Admissions Office: Undergraduate course information for Mathematics
Stephen Siklos' "Advanced Problems in Mathematics" book (external link)
MEI: Worked solutions to STEP questions (external link)
OCR: Exam board information about STEP (external link)
AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)