Degree of polynomials, C1.
[STEP II 2012 Question 2 (Pure)]
Degree of polynomial, divisibility, C1.
[STEP II 2009 Question 4 (Pure)]
Binomial coefficients, sum of powers, degrees of polynomial, sum of coefficients.
[STEP III 2008 Question 2 (Pure)]
Quadratic, quartic equations, necessary and sufficient, if and only if.
[STEP III 2005 Question 3 (Pure)]
Differentiation, exponential function.
[STEP II 2005 Question 1 (Pure)]
Differentiation, stationary points, factors, inequality, cubic, quadratic, sufficient and necessary conditions, C1.
[STEP I 2001 Question 3 (Pure)]
Roots of cubic equation, factorisation, quartic equations, C1-ish.
[STEP III 2000 Question 6 (Pure)]
Factors of polynomials, divisibility, degree, C1.
[STEP II 1997 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)