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STEP Support Programme

Vectors

14-S3-Q7

Triangles, sum, intersection.

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[STEP III 2014 Question 7 (Pure)]

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13-S1-Q3

Position vectors, associativity, ratio, line segment.

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[STEP I 2013 Question 3 (Pure)]

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07-S1-Q7

Equation of line, minimum distance.

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[STEP I 2007 Question 7 (Pure)]

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05-S2-Q7

Position vectors, geometrical interpretation, angle, time.

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[STEP II 2005 Question 7 (Pure)]

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92-S3-Q5

Coordinate geometry, tetrahedron, midpoint, sphere, intersections.

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[STEP III 1992 Question 5 (Pure)]

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92-S2-Q9

Locus, scalar product, vector identity, vector triple product.

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[STEP II 1992 Question 9 (Pure)]

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91-S1-Q5

Regular vectors, centroid.

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[STEP I 1991 Question 5 (Pure)]

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87-S2-Q8

Position vector, locus, spheres, planes, algebra, geometrical, equivalent.

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[STEP II 1987 Question 8 (Pure)]

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87-S1-Q9

Coordinate geometry, triangle in a plane, plane sketching, parametrisation, position vector.

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[STEP I 1987 Question 9 (Pure)]

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Spec-S3-Q8

Sum of squares, midpoints on opposite edges, tetrahedron, scalar product, inequality.

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[STEP III Specimen 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)