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STEP Support Programme

Curve sketching

89-S1-Q7

Modulus function, rectangle, area, maximimum, implicit, curve, C1.

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[STEP I 1989 Question 7 (Pure)]

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88-S3-Q1

Integral, inequality, exponential function.

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[STEP III 1988 Question 1 (Pure)]

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88-S2-Q6

Hyperbolic function, turning point, differentiation, positive function.

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[STEP II 1988 Question 6 (Pure)]

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88-S1-Q1

Logarithm, lnx/x, positive integers, functions, C1.

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[STEP I 1988 Question 1 (Pure)]

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87-S1-Q1

Trigonometric and exponential functions, stationary points, geometric progression, ratio, differentiation.

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[STEP I 1987 Question 1 (Pure)]

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Spec-S2-Q4

Trigonometry, hyperbolic function, inverse functions, principal value, function.

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[STEP II Specimen Question 4 (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)