9709/12 · May/June 2025

Describe two transformations, in order, that map one graph onto another.

Find where a curve and a straight line meet.

Find a constant from a given coefficient in a binomial expansion.

Rate of change along a curve, then a constant from a minimum point.

Range and sketch of a trigonometric curve, then count solutions of an equation.

Area between a curve and a line by integration.

Prove a trigonometric identity, then use it to solve an equation.

Points on a circle, the angle at the centre and the area of a segment.

Find a curve from its second derivative, classify stationary points and find a normal.

Arithmetic and geometric progressions: find a constant, partial sums and a sum to infinity.

Complete the square, then find an inverse and a composite function.