Prison compound, square, Black Tower, distance, area, maximum value, C1.
[STEP I 1991 Question 4 (Pure)]
Frosty the snowman, melting, ratio of volume, surface area, maximum value, C1.
[STEP I 1991 Question 2 (Pure)]
Trigonometry, stationary point, maxima, minima, derivatives.
[STEP I 1988 Question 2 (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)