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STEP Support Programme

Polynomials

12-S2-Q2

Degree of polynomials, C1.

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[STEP II 2012 Question 2 (Pure)]

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09-S2-Q4

Degree of polynomial, divisibility, C1.

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[STEP II 2009 Question 4 (Pure)]

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08-S3-Q2

Binomial coefficients, sum of powers, degrees of polynomial, sum of coefficients.

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[STEP III 2008 Question 2 (Pure)]

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05-S3-Q3

Quadratic, quartic equations, necessary and sufficient, if and only if.

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[STEP III 2005 Question 3 (Pure)]

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05-S2-Q1

Differentiation, exponential function.

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[STEP II 2005 Question 1 (Pure)]

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01-S1-Q3

Differentiation, stationary points, factors, inequality, cubic, quadratic, sufficient and necessary conditions, C1.

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[STEP I 2001 Question 3 (Pure)]

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00-S3-Q6

Roots of cubic equation, factorisation, quartic equations, C1-ish.

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[STEP III 2000 Question 6 (Pure)]

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97-S2-Q4

Factors of polynomials, divisibility, degree, C1.

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[STEP II 1997 Question 4 (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)