24 chapter playbooks, one for every chapter still on the paper

The largest chapter on the paper, and it has grown. The circle, parabola, ellipse and hyperbola each come with their tangents; one tangency condition per curve answers most of them.

Lines and planes in space: the foot, image and distance, and the shortest distance between skew lines. Each task is one formula once the direction ratios are read correctly.

Grown into a cornerstone. Relations are careful counting, often with a numeric answer; functions are domain, range, counting maps and functional equations.

Two conditions on an AP or a GP, then a term or a sum; the series pages ask you to find the kth term first. A large share has numeric answers.

Direct evaluation and piecewise integrands carry much of it; the a + b − x property is the time-saver when a direct attack looks hopeless.

More of it is numeric-answer than any other chapter still on the paper, so there are no options to catch a slip. Own it outright.

Vector equations, magnitudes from lengths and angles, areas and triple products. Short questions; marks are lost to sign and order slips.

Three solving methods and the pages that disguise them. The answer is often a second step: a value, a maximum or an integral of the solution.

Counting in disguise, then Bayes' theorem and the binomial distribution. Set up the sample space once and count both parts the same way.

The general term does half the work, coefficient sums the other half. Nearly half its questions have numeric answers, so accuracy matters more than speed here.

Area between curves, every time: sketch first, then integrate top minus bottom. It has grown since the early papers.

Half algebra, half geometry. Choose the right form, and draw a locus before expanding it into x and y.

Vieta and the discriminant, plus equations that are quadratics after a substitution. Most wrong answers keep a root the substitution should have dropped.

Standard limits, series expansions and the one-to-the-power-infinity rule; continuity is one equation. Counting points of discontinuity takes the longest.

A small toolkit — slope, distance, image — used two or three times in a row. The centres of a triangle are the most common setting.

High powers of a matrix by spotting a pattern, and the adjoint and determinant identities. Few long calculations.

Mostly systems of three equations with a constant left open: which values give one, none or infinitely many solutions.

Nearly all variance: write down Σx and Σx² first, and missing, wrong or combined data become a few lines of arithmetic.

Maxima and minima, monotonicity and tangents. It has shrunk by about half since the early papers, but still appears on many papers.

The formula kit for all of trigonometry: evaluate a product or a power sum with the one identity that collapses it.

Every question turns on the principal ranges; sums of inverse tangents often telescope.

An antiderivative matched to a printed form or evaluated at a point, so the constant matters. Choosing the substitution is the whole question.

Simplify before differentiating, and count the points where a derivative fails to exist. Lighter than in the early papers.

How many solutions lie in an interval. Reduce to one ratio of one angle, then count the roots on the interval itself.