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STEP Support Programme

Coordinate geometry

10-S3-Q5

Line produced, construction using straight-edge, square, C1.

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[STEP III 2010 Question 5 (Pure)]

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09-S3-Q1

Quadratic equation, circle, C1.

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[STEP III 2009 Question 1 (Mechanics)]

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09-S2-Q1

Curve sketching, lines of symmetry, intersection, area of quadrilateral, C1.

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[STEP II 2009 Question 1 (Pure)]

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08-S1-Q7

Rotation, equilateral triangle, C1.

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[STEP I 2008 Question 7 (Pure)]

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06-S2-Q7

Curve sketching, ellipse, tangent.

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[STEP II 2006 Question 7 (Pure)]

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06-S1-Q8

Tetrahedron, volume, triangle, C1.

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[STEP I 2006 Question 8 (Pure)]

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06-S1-Q6

Hyperbolas, curve, postive integers, C1.

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[STEP I 2006 Question 6 (Pure)]

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05-S3-Q5

Lines, tangent, quadratic equations, common tangents, C1.

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[STEP III 2005 Question 5 (Pure)]

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05-S1-Q6

Cartesian equation, circle, locus, ratio, C1.

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[STEP I 2005 Question 6 (Pure)]

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05-S1-Q2

Parabola, intersection, tangent, quadrilateral, C1.

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[STEP I 2005 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)