Integration.
[STEP I 2011 Question 13 (Probability and Statistics)]
Expectation, median, inequality.
[STEP II 2010 Question 12 (Probability and Statistics)]
Probability density function, pdf, curve sketching, expectation and variance, statistical tables, median.
[STEP II 2009 Question 12 (Mechanics)]
Probability density function, curve sketching, pdf.
[STEP II 2006 Question 14 (Mechanics)]
Integration by substitution, density function, median, expectation, gas molecule.
[STEP III 2005 Question 14 (Probability and Statistics)]
Exponential distribution, bus route, median.
[STEP III 2002 Question 13 (Probability and Statistics)]
Uniform distribution, variance, estimators.
[STEP III 2001 Question 14 (Probability and Statistics)]
Uniform distribution, expectation, moments, variance.
[STEP I 2000 Question 14 (Probability and Statistics)]
Cake in canteen, expectation.
[STEP III 1999 Question 13 (Probability and Statistics)]
Dart throwing, expectation, total score, probability, density function.
[STEP I 1999 Question 14 (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)