# Complex Numbers

### 14-S3-Q5

[STEP III 2014 Question 5 (Pure)]

### 13-S3-Q6

Argand diagram, modulus functions, inequality.

[STEP III 2013 Question 6 (Pure)]

### 10-S3-Q3

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

[STEP III 2010 Question 3 (Pure)]

### 09-S3-Q6

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

[STEP III 2009 Question 6 (Pure)]

### 07-S3-Q6

Argand diagram, circle, geometry.

[STEP III 2007 Question 6 (Pure)]

### 06-S3-Q5

Roots of unity, equilateral triangle, transformation.

[STEP III 2006 Question 5 (Pure)]

### 05-S3-Q8

Argand diagram, triangle, circle, tangent.

[STEP III 2005 Question 8 (Pure)]

### 02-S3-Q8

Modulus and argument, modulus, identity.

[STEP III 2002 Question 8 (Pure)]

### 01-S3-Q8

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

[STEP III 2001 Question 8 (Pure)]

### 00-S3-Q3

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

[STEP III 2000 Question 3 (Pure)]

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)