Collision, perfectly elastic.
[STEP I 2011 Question 9 (Mechanics)]
Simultaneous projection, inequalities, maximum height, collision.
[STEP II 2010 Question 9 (Mechanics)]
Horizontal force, blow back, maximisation. [STEP II 2006 Question 11 (Mechanics)]
Second trajectory, trigonometry.
[STEP III 2009 Question 9 (Mechanics)]
Simultaneous projection, collision, trigonometry, range equation, inequality.
[STEP I 2009 Question 9 (Mechanics)]
Cricket bowler, small angle approximation.
[STEP II 2008 Question 9 (Mechanics)]
Zog, trajectory sketching, range.
[STEP I 2008 Question 10 (Mechanics)]
Inclined plane, range, maximisation.
[STEP III 2007 Question 10 (Mechanics)]
vector, maximum height, bullet.
[STEP II 2007 Question 11 (Mechanics)]
Distance equation, differentiation.
[STEP I 2007 Question 11 (Mechanics)]
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)