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STEP Support Programme

Differential equation

99-S2-Q9

Acceleration, fragment, star, Z-universe.

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[STEP II 1999 Question 9 (Mechanics)]

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99-S1-Q7

Trigonometry, second order equation.

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[STEP I 1999 Question 7 (Pure)]

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97-S3-Q6

Harmonic oscillator, second order equation, recurrence relation, difference equation.

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[STEP III 1997 Question 6 (Pure)]

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96-S3-Q14

Bike, puncture, first order equation, approximation.

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[STEP III 1996 Question 14 (Probability and Statistics)]

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96-S2-Q8

Functional equation, trigonometry, initial condition.

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[STEP II 1996 Question 8 (Pure)]

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96-S1-Q7

Water tank, power law, steady rate, first order equation.

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[STEP I 1996 Question 7 (Pure)]

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95-S3-Q3

Simple harmonic motion, SHM, damped, maximum, second order equations.

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[STEP III 1995 Question 3 (Pure)]

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95-S1-Q8

Second order equation, substitution.

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[STEP I 1995 Question 8 (Pure)]

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93-S2-Q3

Substitution, first order equation.

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[STEP II 1993 Question 3 (Pure)]

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93-S1-Q9

Handmade ice-cream, first order differential equation.

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[STEP I 1993 Question 9 (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)