Cubic function, real root, algebra, trigonometry, sine function.
[STEP III 2015 Question 4 (Pure)]
Factorisation, product, quartic equations, integer, C1.
[STEP I 2002 Question 5 (Pure)]
Sum of roots, proof by induction.
[STEP III 1991 Question 10 (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)
