Triangles, sum, intersection.
[STEP III 2014 Question 7 (Pure)]
Position vectors, associativity, ratio, line segment.
[STEP I 2013 Question 3 (Pure)]
Equation of line, minimum distance.
[STEP I 2007 Question 7 (Pure)]
Position vectors, geometrical interpretation, angle, time.
[STEP II 2005 Question 7 (Pure)]
Coordinate geometry, tetrahedron, midpoint, sphere, intersections.
[STEP III 1992 Question 5 (Pure)]
Locus, scalar product, vector identity, vector triple product.
[STEP II 1992 Question 9 (Pure)]
Regular vectors, centroid.
[STEP I 1991 Question 5 (Pure)]
Position vector, locus, spheres, planes, algebra, geometrical, equivalent.
[STEP II 1987 Question 8 (Pure)]
Coordinate geometry, triangle in a plane, plane sketching, parametrisation, position vector.
[STEP I 1987 Question 9 (Pure)]
Sum of squares, midpoints on opposite edges, tetrahedron, scalar product, inequality.
[STEP III Specimen Question 8 (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)