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STEP Support Programme

Differentiation

15-S3-Q7

Operators, polynomial, divisibility, sum, identity, positive integers, order of polynomials, proof.

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[STEP III 2015 Question 7 (Pure)]

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15-S1-Q7

Optimisation, interval, greatest value, polynomial, cubic function, C1.

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[STEP I 2015 Question 7 (Pure)]

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11-S1-Q1

Normal, gradient, lines and curve, C1.

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[STEP I 2011 Question 1 (Pure)]

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08-S2-Q4

Implicit differentiation, tangent and normals.

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[STEP II 2008 Question 4 (Pure)]

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08-S1-Q2

Integration.

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[STEP I 2008 Question 2 (Pure)]

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00-S1-Q7

Quotient rule, derivative, C1.

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[STEP I 2000 Question 7 (Pure)]

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97-S1-Q2

Trigonometry, identity, chain rule, implicit differentiation.

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[STEP I 1997 Question 2 (Pure)]

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96-S1-Q1

Surface area, minimum, sphere, cylinder, C1.

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[STEP I 1996 Question 1 (Pure)]

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94-S1-Q2

Derivatives of powers.

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[STEP I 1994 Question 2 (Pure)]

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92-S1-Q9

Coffee filter, cone, height of water, C1.

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[STEP I 1992 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)