Tangent function, continuous, range, differentiation, stationary point, asymptote, curve sketching.

[STEP II 2015 Question 4 (Pure)]

Exponential function, polynomial, curve sketching, limits.

[STEP I 2015 Question 1 (Pure)]

Modulus function, C1.

[STEP II 2014 Question 7 (Pure)]

Integration, cubic.

[STEP I 2014 Question 3 (Pure)]

Lines and logarithms, inequality.

[STEP II 2013 Question 1 (Pure)]

Locus, quadratic, factorisation, circles, coordinate geometry, symmetry, C1.

[STEP I 2013 Question 5 (Pure)]

Quadratic and quartic equations, intersection, C1.

[STEP III 2012 Question 3 (Pure)]

Differentiation, stationary points, C1.

[STEP II 2012 Question 5 (Pure)]

Quartic equations, roots, differentiation, stationary points, C1

[STEP I 2012 Question 2 (Pure)]

Differentiation, stationary points, vertical asymptote, exponential function

[STEP I 2010 Question 2 (Pure)]