Quadrilateral, parallelogram, square.
[STEP III 2014 Question 5 (Pure)]
Argand diagram, modulus functions, inequality.
[STEP III 2013 Question 6 (Pure)]
Roots of unity, primitive, polynomials, factorisation, prime.
[STEP III 2010 Question 3 (Pure)]
Modulus and argument, Euler's formula, trigonometry, geometry, cyclic quadrilaterals.
[STEP III 2009 Question 6 (Pure)]
Argand diagram, circle, geometry.
[STEP III 2007 Question 6 (Pure)]
Roots of unity, equilateral triangle, transformation.
[STEP III 2006 Question 5 (Pure)]
Argand diagram, triangle, circle, tangent.
[STEP III 2005 Question 8 (Pure)]
Modulus and argument, modulus, identity.
[STEP III 2002 Question 8 (Pure)]
Equations of locus, arcs, circles, lines arguments, sketching.
[STEP III 2001 Question 8 (Pure)]
Roots of unity, Argand diagram, equilateral triangle, geometry.
[STEP III 2000 Question 3 (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)