Prison guard, square, perimeter, maximise, C1.

[STEP I 2015 Question 3 (Pure)]

Circular cone, differentiation, stationary value, C1.

[STEP I 2009 Question 5 (Pure)]

Goat, rope, barn, differentiation, C1.

[STEP I 2006 Question 2 (Pure)]

Differentiation, rectangle inscribed in circle, greatest, maximum, perimeter, sum of lengths, proof, C1.

[STEP I 1998 Question 4 (Pure)]

Kingdom, parabolic hill, minimal, differentiation, rotating curves. C1.

[STEP III 1988 Question 4 (Pure)]

Expectation, recurrence relation, Steppe syndrome.

[STEP II 1987 Question 15 (Probability and Statistics)]

Mountain villages, vertices of tetrahedron, snowfall probability, independence.

[STEP III Specimen Question 15 (Probability and Statistics)]