Elementary probability, bag and counters, maximisation, C1.
[STEP II 2008 Question 13 (Mechanics)]
Discs, conditional probability, C1.
[STEP I 2007 Question 13 (Probability and Statistics)]
Bag of sweet, maximisation, C1.
[STEP I 2006 Question 14 (Probability and Statistics)]
Balls out of bag, expectation, sum of squares, C1-ish.
[STEP I 2003 Question 12 (Probability and Statistics)]
A bag of balls, combinatorics, C1.
[STEP III 2001 Question 12 (Probability and Statistics)]
Key, front door, elementary probability, combinatorics, C1.
[STEP I 2000 Question 12 (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)