Proof, sum over pairs, sum of squares.
[STEP III 1993 Question 9 (Pure)]
Integration, approximation, Taylor series.
[STEP II 1991 Question 6 (Pure)]
Positive integers, fractions, C1.
[STEP II 1990 Question 6 (Pure)]
Modulus function, rational function, surds, trigonometry, trigonometric, integration.
[STEP I 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)