Integration, counterexamples, trigonometric and quadratic equations.

[STEP II 2014 Question 2 (Pure)]

Integration, curve sketching, tangent, exponential function.

[STEP I 2012 Question 3 (Pure)]

Proof, simultaneous equations, C1.

[STEP II 2006 Question 6 (Pure)]

Functions, inverse hyperbolic functions, integration, curve sketching.

[STEP III 2008 Question 4 (Pure)]

Surds, square root functions, binomial expansion, approximation, C1-ish.

[STEP II 2006 Question 3 (Pure)]

Trigonometry.

[STEP I 2003 Question 4 (Pure)]

Trigonometry, coordinate geometry, algebraic manipulation, C1-ish.

[STEP III 2002 Question 7 (Pure)]

Number theory, positive integer, difference of cubes, sum of square, C1.

[STEP III 2002 Question 4 (Pure)]

Square root, quadratic function, C1

[STEP I 2001 Question 2 (Pure)]

Maximum and minimum, quadratic equation, C1.

[STEP I 1999 Question 6 (Pure)]