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

[STEP II 2015 Question 2 (Pure)]

Quadrilateral, position vectors, optimisation, square, C1.

[STEP I 2015 Question 6 (Pure)]

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

[STEP I 2015 Question 4 (Pure)]

Triangle, trigonometry, lines produced, C1.

[STEP II 2014 Question 1 (Pure)]

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

[STEP II 2012 Question 6 (Pure)]

Trigonometry, inequality.

[STEP I 2012 Question 6 (Pure)]

Equation of circle, angle, incircle, C1.

[STEP I 2009 Question 8 (Pure)]

Sides of triangles, cosine rule, ratio, C1.

[STEP I 2009 Question 4 (Pure)]

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

[STEP II 2005 Question 5 (Pure)]

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

[STEP III 2004 Question 4 (Pure)]