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)

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