Ordering, expectation, boys and girls in line, C1.
[STEP I 2009 Question 13 (Mechanics)]
Married couples sitting at a table, elementary probability, C1.
[STEP I 2008 Question 13 (Probability and Statistics)]
10 and 20 pence coins, number of ways, C1.
[STEP I 1997 Question 1 (Pure)]
Binomial coefficients, exam scripts, expectation, C1.
[STEP I 1996 Question 12 (Probability and Statistics)]
Recurrence relation, proof by induction.
[STEP II 1995 Question 2 (Pure)]
Dice, colors, number of ways, C1.
[STEP I 1993 Question 1 (Pure)]
Pack of cards, without replacement, identical, elementary probabliity.
[STEP III 1991 Question 15 (Probability and Statistics)]
Balls from urns, mean, expectation, variance, sum of random variable, indicator function.
[STEP III 1988 Question 16 (Probability and Statistics)]
President of the republic, no children, sons and daughters, expectation.
[STEP III Specimen 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)