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STEP Support Programme

Geometrical probability

09-S3-Q13

Independence, correlation, point on the circumference of a circle, uniform distribution.

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[STEP III 2009 Question 13 (Probability and Statistics)]

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08-S3-Q13

Box, strings, rings, expecttion, harmonic sum, variance.

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[STEP III 2008 Question 13 (Probability and Statistics)]

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07-S3-Q14

Dartboard, circles, expectation.

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[STEP III 2007 Question 14 (Probability and Statistics)]

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06-S3-Q13

Points on permieter of semicircle, independent, expectation, area of triangle.

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[STEP III 2006 Question 13 (Probability and Statistics)]

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99-S2-Q13

Stick, broken, pieces, expectation and variance, pdf, probability density function.

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[STEP II 1999 Question 13 (Mechanics)]

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99-S1-Q13

Bar magnets, expectation and variance, continuous random variable.

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[STEP I 1999 Question 13 (Probability and Statistics)]

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97-S2-Q13

Buffon's needle, continuous random variable, cumulative distribution function, lines.

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[STEP II 1997 Question 13 (Mechanics)]

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94-S3-Q14

Points on perimeter of circle, form triangle, probability.

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[STEP III 1994 Question 14 (Probability and Statistics)]

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94-S2-Q14

Septimus Moneybags, dart board, uniform distribution, variance, charity fete, minimise expected loss.

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[STEP II 1994 Question 14 (Mechanics)]

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93-S1-Q16

Integration by substitution, uniform distribution, pins on lines.

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[STEP I 1993 Question 16 (Probability and Statistics)]

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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)