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STEP Support Programme

Complex Numbers

14-S3-Q5

Quadrilateral, parallelogram, square.

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[STEP III 2014 Question 5 (Pure)]

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13-S3-Q6

Argand diagram, modulus functions, inequality.

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[STEP III 2013 Question 6 (Pure)]

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10-S3-Q3

Roots of unity, primitive, polynomials, factorisation, prime.

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[STEP III 2010 Question 3 (Pure)]

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09-S3-Q6

Modulus and argument, Euler's formula, trigonometry, geometry, cyclic quadrilaterals.

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[STEP III 2009 Question 6 (Pure)]

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07-S3-Q6

Argand diagram, circle, geometry.

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[STEP III 2007 Question 6 (Pure)]

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06-S3-Q5

Roots of unity, equilateral triangle, transformation.

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[STEP III 2006 Question 5 (Pure)]

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05-S3-Q8

Argand diagram, triangle, circle, tangent.

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[STEP III 2005 Question 8 (Pure)]

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02-S3-Q8

Modulus and argument, modulus, identity.

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[STEP III 2002 Question 8 (Pure)]

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01-S3-Q8

Equations of locus, arcs, circles, lines arguments, sketching.

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[STEP III 2001 Question 8 (Pure)]

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00-S3-Q3

Roots of unity, Argand diagram, equilateral triangle, geometry.

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[STEP III 2000 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)