Cosine and sine function, root of equation, surds.
[STEP I 2015 Question 2 (Pure)]
Identities, general solution, rational numbers.
[STEP II 2011 Question 4 (Pure)]
Differentiation, identity.
[STEP I 2011 Question 3 (Pure)]
Sum to product formulae, sine, cosine, coordinate geometry, parallel lines.
[STEP I 2010 Question 3 (Pure)]
Identity proof, tan, surds.
[STEP II 2009 Question 3 (Pure)]
Period of function.
[STEP II 2008 Question 6 (Pure)]
tan, identities, quartic equations.
[STEP III 2007 Question 1 (Pure)]
Identity manipulation, solution to equations.
[STEP II 2007 Question 4 (Pure)]
Identity, arctan, highest common factor, hcf.
[STEP I 2007 Question 2 (Pure)]
Tan identity, proof, simultaneous equations.
[STEP II 2005 Question 4 (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)