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STEP Support Programme

Vector geometry

17-S2-Q8

Vectors, position vectors, vector geometry, triangle, vector equation of line, altitudes.

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[STEP II 2017 Question 8 (Pure)]

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16-S1-Q6

vectors, vector geometry,quadrilateral, diagonal.

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[STEP I 2016 Question 6 (Pure Mathematics)]

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15-S2-Q8

Non-overlapping circles, tangent, intersection, position vectors, lines.

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[STEP II 2015 Question 8 (Pure)]

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14-S1-Q7

Triangle, ratio, intersection, vectors.

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[STEP I 2014 Question 7 (Pure)]

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13-S3-Q3

Surface of the sphere, position vector.

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[STEP III 2013 Question 3 (Pure)]

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12-S2-Q7

Position vectors, centroid, equation of plane and line.

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[STEP II 2012 Question 7 (Pure)]

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11-S2-Q11

Equilibrium, resolve forces, trigonometry, vectors.

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[STEP II 2011 Question 11 (Mechanics)]

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11-S2-Q5

Reflection line, position vector.

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[STEP II 2011 Question 5 (Pure)]

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10-S2-Q5

Position vectors, inclined plane, angle bisector.

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[STEP II 2010 Question 5 (Pure)]

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10-S1-Q7

Position vector, equation of lines, intersection.

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[STEP I 2010 Question 7 (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)