Integration, moments.
[STEP I 2017 Question 6 (Pure)]
Integration, exponential, rational function, polynomial.
[STEP III 2016 Question 3 (Pure Mathematics)]
Recurrence relation, integration by substitution.
[STEP III 2015 Question 1 (Pure)]
Integration by substitution, differentiation.
[STEP II 2015 Question 6 (Pure)]
Area under curve, modulus and logarithmic functions.
[STEP I 2014 Question 2 (Pure)]
Tan half angle substitution, t-sub, differentiation, trigonometry, recurrence formula.
[STEP III 2013 Question 1 (Pure)]
Substitution and by parts, recurrence formula.
[STEP II 2013 Question 2 (Pure)]
Trigonometric and logarithmic functions, parts, substitution.
[STEP I 2012 Question 5 (Pure)]
Area integral, parametric equation, coordinate geometry.
[STEP III 2011 Question 5 (Pure)]
Parts, trigonometry.
[STEP II 2011 Question 6 (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)