Operators, polynomial, divisibility, sum, identity, positive integers, order of polynomials, proof.
[STEP III 2015 Question 7 (Pure)]
Optimisation, interval, greatest value, polynomial, cubic function, C1.
[STEP I 2015 Question 7 (Pure)]
Normal, gradient, lines and curve, C1.
[STEP I 2011 Question 1 (Pure)]
Implicit differentiation, tangent and normals.
[STEP II 2008 Question 4 (Pure)]
Integration.
[STEP I 2008 Question 2 (Pure)]
Quotient rule, derivative, C1.
[STEP I 2000 Question 7 (Pure)]
Trigonometry, identity, chain rule, implicit differentiation.
[STEP I 1997 Question 2 (Pure)]
Surface area, minimum, sphere, cylinder, C1.
[STEP I 1996 Question 1 (Pure)]
Derivatives of powers.
[STEP I 1994 Question 2 (Pure)]
Coffee filter, cone, height of water, C1.
[STEP I 1992 Question 9 (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)