Theorem, curve sketching, Young's inequality, graphical solution, functions, trigonometric functions.

[STEP III 2011 Question 4 (Pure)]

Squares, sum of squares, C1.

[STEP I 2008 Question 3 (Pure)]

Differentiation, trigonometric functions, maximum and minimum, C1.

[STEP I 2002 Question 3 (Pure)]

Integration.

[STEP II 1997 Question 8 (Pure)]

Curve sketching, region, lines, C1.

[STEP I 1995 Question 1 (Pure)]

AM-GM inequality, proof by induction, C1.

[STEP II 1993 Question 8 (Pure)]

Inequality, diagonals of a parallelogram, maximum area, set of points, sketching, C1.

[STEP II 1987 Question 8 (Pure)]

Quadratic functions, partial fractions, coefficient of binomial expansion.

[STEP I Specimen Question 1 (Pure)]