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STEP Support Programme

Euclidean geometry

04-S2-Q4

Move rod from corridor, inequality, trigonometry, table-top, C1.

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[STEP II 2004 Question 4 (Pure)]

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03-S2-Q4

Lines and circles, intersection, segment, C1.

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[STEP II 2003 Question 4 (Pure)]

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02-S2-Q6

Inclined plane, rotate, angle.

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[STEP II 2002 Question 6 (Pure)]

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02-S1-Q6

Pyramid, equilateral triangle, volume, C1.

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[STEP I 2002 Question 6 (Pure)]

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01-S2-Q3

Cuboid, ratio of volume to surface area, inequality, C1.

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[STEP II 2001 Question 3 (Pure)]

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01-S1-Q1

Triangle, length, C1.

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[STEP I 2001 Question 1 (Pure)]

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00-S1-Q5

Trigonometry, steepest line, inclined plane, C1.

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[STEP I 2000 Question 5 (Pure)]

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97-S1-Q5

Quadrilateral, midpoints, constant, vertices, C1.

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[STEP I 1997 Question 5 (Pure)]

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96-S2-Q7

Square, perpendicular distance, straight line, circle, solutions.

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[STEP II 1996 Question 7 (Pure)]

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94-S3-Q3

Intersection of plane with sphere, simultaneous equations, circle.

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[STEP III 1994 Question 3 (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)