Hyperbolic functions, substitution.
[STEP III 2010 Question 2 (Pure)]
Curve sketching, trigonometry, exponential function, area under curve, sum.
[STEP II 2010 Question 8 (Pure)]
Trigonometric identities, useless Eustace.
[STEP II 2010 Question 2 (Pure)]
Integration as inverse differentiation, polynomial, exponential, product rule.
[STEP II 2009 Question 7 (Pure)]
Area under curve, surds.
[STEP II 2009 Question 5 (Pure)]
Trigonometry, identity.
[STEP I 2007 Question 3 (Pure)]
Trigonometry, substitution.
[STEP III 2006 Question 2 (Pure)]
Trigonometry, modulus, exponential function, curve sketching, roots of equation.
[STEP I 2006 Question 7 (Pure)]
Curve sketching, trigonometry, inequality.
[STEP II 2005 Question 3 (Pure)]
Approximation, logarithm.
[STEP I 2005 Question 5 (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)