# Euclidean geometry

### 15-S2-Q2

Trigonometry, sine function, midpoint, perpendicular, bisector, trisection, C1.

[STEP II 2015 Question 2 (Pure)]

### 15-S1-Q6

Quadrilateral, position vectors, optimisation, square, C1.

[STEP I 2015 Question 6 (Pure)]

### 15-S1-Q4

Locus of points, trigonometry, tangent function, area of curve, integration.

[STEP I 2015 Question 4 (Pure)]

### 14-S2-Q1

Triangle, trigonometry, lines produced, C1.

[STEP II 2014 Question 1 (Pure)]

### 12-S2-Q6

Cyclic quadrilateral, area of triangle, sides, Heron, C1.

[STEP II 2012 Question 6 (Pure)]

### 12-S1-Q6

Trigonometry, inequality.

[STEP I 2012 Question 6 (Pure)]

### 09-S1-Q8

Equation of circle, angle, incircle, C1.

[STEP I 2009 Question 8 (Pure)]

### 09-S1-Q4

Sides of triangles, cosine rule, ratio, C1.

[STEP I 2009 Question 4 (Pure)]

### 05-S2-Q5

Ratio of area, tangent to circle, triangle, inequality.

[STEP II 2005 Question 5 (Pure)]

### 04-S3-Q4

Isoceles triangle, tangent to circles, ratio of radii, area, C1.

[STEP III 2004 Question 4 (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