Bead on a rolling circular hoop, second order differential equation, slip, reaction force.
[STEP III Specimen Question 13 (Mechanics)]
Uniform disc, angular speed, constant frictional force, rate of change.
[STEP II Specimen Question 14 (Mechanics)]
Simple harmonic oscillation, period, bead on wire, string and springs, small angle approximation, inequality.
[STEP II Specimen Question 12 (Mechanics)]
String, angular speed, horizontal circle, vertical plane motion.
[STEP I Specimen 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)