Trigonometric and exponential functions, sum to product formula.
[STEP I 2009 Question 7 (Pure)]
Recurrence formula, greatest value, inequality, logarithm.
[STEP III 2004 Question 7 (Pure)]
Recurrence formula, trigonometric integral.
[STEP II 1998 Question 4 (Pure)]
Recurrence formula.
[STEP III 1995 Question 2 (Pure)]
Reduction formula, hyperbolica functions.
[STEP III 1994 Question 1 (Pure)]
Polynomials, nth derivatives, degree of polynomials.
[STEP II 1994 Question 2 (Pure)]
Identity.
[STEP II 1990 Question 8 (Pure)]
Trigonometric function, sine, cosine function, recurrence relation, iteration, odd, even.
[STEP II 1987 Question 2 (Pure)]
Recurrence relation, integral, sech, hyperbolic function.
[STEP III Specimen 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)