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STEP Support Programme

Sampling with/out replacement

08-S2-Q13

Elementary probability, bag and counters, maximisation, C1.

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[STEP II 2008 Question 13 (Mechanics)]

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07-S1-Q13

Discs, conditional probability, C1.

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[STEP I 2007 Question 13 (Probability and Statistics)]

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06-S1-Q14

Bag of sweet, maximisation, C1.

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[STEP I 2006 Question 14 (Probability and Statistics)]

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03-S1-Q12

Balls out of bag, expectation, sum of squares, C1-ish.

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[STEP I 2003 Question 12 (Probability and Statistics)]

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01-S3-Q12

A bag of balls, combinatorics, C1.

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[STEP III 2001 Question 12 (Probability and Statistics)]

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00-S1-Q12

Key, front door, elementary probability, combinatorics, C1.

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[STEP I 2000 Question 12 (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)