Second order equation, integrating factor.
[STEP III 1990 Question 8 (Pure)]
System of first order equation, exponential function.
[STEP III 1989 Question 8 (Pure)]
Substitution, unique solution, second order equation.
[STEP II 1989 Question 7 (Pure)]
Air resistance, first order equation, gravity, goalkeeper, tan.
[STEP III 1988 Question 13 (Mechanics)]
Sturm-Liouville, orthogonal functions.
[STEP III 1988 Question 7 (Pure)]
System of first order equation, aardvark, buffalo, population dynamic, matrix method, linear combination, equilibrium, stationary point.
[STEP II 1988 Question 8 (Pure)]
Solution by substitution, initial condition, limit, first order equation.
[STEP I 1987 Question 3 (Pure)]
Identical snowploughs, constant rate acceleration, first order equation, general solution, time-distance (x-t).
[STEP III Specimen Question 11 (Mechanics)]
Solution by substitution, general solution, second order equation.
[STEP III Specimen Question 7 (Pure)]
Substitution, initial condition, forced second order equation.
[STEP I Specimen 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)