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STEP Support Programme

Differential equation

12-S3-Q7

Pain-killing drug modelling, brain, system of first order equations.

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[STEP III 2012 Question 7 (Pure)]

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12-S3-Q1

Substitution, general solution, forced first order equation.

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[STEP III 2012 Question 1 (Pure)]

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12-S1-Q8

Substitution, general solution.

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[STEP I 2012 Question 8 (Pure)]

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11-S3-Q1

Substitution, general solution.

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[STEP III 2011 Question 1 (Pure)]

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09-S3-Q11

Newton's second law, gravitational force, variable mass.

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[STEP III 2009 Question 11 (Mechanics)]

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08-S3-Q6

Implicit differentiation, substitution.

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[STEP III 2008 Question 6 (Pure)]

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08-S2-Q7

Substitution, general solution, conjecture.

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[STEP II 2008 Question 7 (Pure)]

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08-S1-Q8

Line, circle, parabola.

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[STEP I 2008 Question 8 (Pure)]

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07-S2-Q6

Differentiation, logarithm function, quadratic equation.

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[STEP II 2007 Question 6 (Pure)]

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06-S3-Q7

Hyperbolic functions, asymptotes.

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[STEP III 2006 Question 7 (Pure)]

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Useful Links

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)