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STEP Support Programme

Vector geometry

09-S2-Q8

Equation of line, quadrilateral, position vector.

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[STEP II 2009 Question 8 (Pure)]

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08-S2-Q8

Ratio, position vector, bisection.

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[STEP II 2008 Question 8 (Pure)]

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07-S2-Q8

Position vector, locus, ratio, intersection.

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[STEP II 2007 Question 8 (Pure)]

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06-S2-Q8

Equation of line, position vectors, trapezium, ratio.

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[STEP II 2006 Question 8 (Pure)]

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04-S2-Q6

Planes, perpendicular, parallel, scalar product.

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[STEP II 2004 Question 6 (Pure)]

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03-S2-Q5

Position vector, intersection, midpoint.

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[STEP II 2003 Question 5 (Pure)]

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00-S2-Q7

Equation of a line and plane, interection, circle, line through origin.

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[STEP II 2000 Question 7 (Pure)]

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98-S3-Q8

Line intersecting spheres, inequality, minimum distance.

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[STEP III 1998 Question 8 (Pure)]

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98-S2-Q8

3D, triangle, plane, midpoint, line meet plane.

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[STEP II 1998 Question 8 (Pure)]

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95-S3-Q8

3D, perpendicular distance, plane, surface, scalar product, geometrical interpretation, circles.

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[STEP III 1995 Question 8 (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)