Train engine and trucks, inequality, approximation.
[STEP II 2009 Question 11 (Pure)]
Train and engines, velocities, conservation of energy.
[STEP II 2004 Question 11 (Mechanics)]
Train, tractive force, engine, time-distance.
[STEP I 1993 Question 13 (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)