Approximation, cricket. [STEP II 2006 Question 12 (Probability and Statistics)]
Football, penalty shootout, expectation, elementary probability.
[STEP I 2003 Question 13 (Probability and Statistics)]
Binomial coefficients, sum, Triposville, elementary probability, conditional probability.
[STEP II 1996 Question 13 (Mechanics)]
Widget faults, expectation, probability.
[STEP II 1989 Question 16 (Probability and Statistics)]
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)