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STEP Support Programme

Curve sketching

07-S1-Q8

Cubic equations, intersection, C1.

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[STEP I 2007 Question 8 (Pure)]

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06-S3-Q1

Vertical and oblique asymptotes, roots of equations, C1.

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[STEP III 2006 Question 1 (Pure)]

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05-S3-Q1

Trigonometric, modulus functions, solution to equations, general solution.

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[STEP III 2005 Question 1 (Pure)]

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04-S3-Q2

Vertical and oblique asymptotes, tangent, double root.

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[STEP III 2004 Question 2 (Pure)]

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04-S2-Q3

Nature of stationary point, differentiation, C1.

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[STEP II 2004 Question 3 (Pure)]

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04-S1-Q2

Integration, integer part, floor function, square root, sum.

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[STEP I 2004 Question 2 (Pure)]

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03-S3-Q3

Reciprocal function, differentiation, C1.

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[STEP III 2003 Question 3 (Pure)]

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02-S3-Q3

Square root function, inequality, roots.

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[STEP III 2002 Question 3 (Pure)]

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02-S1-Q4

Intersection with line, area under curve, integration, volume of revolution.

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[STEP I 2002 Question 4 (Pure)]

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02-S1-Q2

Differentiation, stationary point, maximum, minimum, C1

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[STEP I 2002 Question 2 (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)