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STEP Support Programme

Euclidean geometry

92-S3-Q7

Parallelogram, meet in a point.

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[STEP III 1992 Question 7 (Pure)]

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90-S1-Q1

Semicircle, quadrilateral, blind, maximum area, C1.

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[STEP I 1990 Question 1 (Pure)]

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89-S1-Q4

Collinear points, line segment, triangle, general position, C1.

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[STEP I 1989 Question 4 (Pure)]

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89-S1-Q1

Semi circles, parabola, vertex, arc, midpoint, area, C1.

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[STEP I 1989 Question 1 (Pure)]

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88-S1-Q8

Skew (non-planar) quadrilaterial, opposite sides, midpoints, diagonals, C1.

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[STEP I 1988 Question 8 (Pure)]

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Spec-S1-Q6

50p (fifty pence) coin, arc, cross section, diametrically opposite, radius, circle, area. C1

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[STEP I Specimen Question 6 (Pure)]

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Spec-S1-Q2

Lines, right angle, differentiation, maximum value, optimisation, trigonometry. C1

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[STEP I Specimen 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)