Where the marks go
A2 Further Mathematics is marked out of 300 across two 135-minute papers, Pure Mathematics (A2 1) and Applied Mathematics (A2 2), each worth 150 marks. Within Pure Mathematics, further calculus (improper integrals, reduction formulae, Maclaurin series) is the single biggest chapter, worth more than a quarter of that paper on its own, with hyperbolic functions, differential equations and complex numbers close behind. Across both papers, most marks sit in direct calculation and exact evaluation, with formal proof and "show that" work close behind, this is a paper that rewards clean, complete algebraic method over a fast but undocumented right answer.
Paper structure and timing
A2 1 Pure Mathematics has eleven questions for 150 marks in 135 minutes, 0.9 minutes per mark, so the 20-mark complex numbers question on roots and de Moivre trigonometry is worth about 18 minutes and the 10-mark first-order differential equations question is worth about 9. Work through the paper roughly in order, but if you know one technique is weak, reduction formulae for instance, do not let that single question stall your pace through the rest.
A2 2 Applied Mathematics offers four option sections, Mechanics 1, Mechanics 2, Statistics, and Discrete Mathematics, and you answer exactly two under one of the permitted pairings: A with B, A with C, A with D, or C with D. Each section is 75 marks, so with 150 marks in 135 minutes that is 67 to 68 minutes per section. Decide your pairing well before the exam and do not improvise it on the day, each section runs five or six substantial multi-part questions, and reading through sections you are not sitting wastes minutes you need.
Where the technique marks actually sit
In improper integrals, define the limit explicitly before evaluating: write \(\lim_{t \to 0^+}\) or the equivalent rather than substituting the problem value directly, a term like \(\ln(0)\) evaluated without limit notation is undefined and the mark scheme wants to see you handle that properly. In differential equations, the discriminant of the auxiliary equation tells you the type of motion: calculate \(b^2 - 4ac\) before classifying a second-order equation as over-damped, critically damped or under-damped, and remember the general solution of a non-homogeneous equation always needs a particular integral added to the complementary function, not the complementary function alone.
In hyperbolic functions, apply the chain rule fully when differentiating compositions such as \(\text{arsinh}(3x)\) or \(\tanh(\ln\sqrt{3x})\), the inner-function derivative is a separate factor that is easy to drop under time pressure. In induction proofs, state the base case explicitly, state the inductive hypothesis, and write the closing sentence linking "true for \(n = k\)" to "true for \(n = k + 1\), and hence for all \(n\)", an argument with correct algebra but no closing sentence loses the conclusion mark.
In the mechanics options, do not assume toppling occurs, evaluate the condition explicitly: a rigid body is on the point of toppling when the normal reaction at the tipping edge reaches zero, not because a diagram looks unstable. In the statistics option, pool expected frequencies below 5 before calculating a chi-squared statistic, and apply Yates' continuity correction in a 2 by 2 contingency table, both are places examiners specifically check. In the discrete option, the Nearest Neighbour algorithm is a greedy heuristic, not a guarantee of the optimal route, and non-overlapping boards in a rook polynomial problem combine by multiplying their polynomials, not adding them.
CCEA conventions for this paper
A2 papers carry synoptic assessment: questions are built to draw on material from the AS units as well as the A2 content, and to connect across different parts of the specification rather than testing one topic in isolation, so a question opening in complex numbers may still need a technique from vectors or algebra learned at AS. A2 also carries higher order thinking skills through more unstructured questions, where the paper does not tell you which technique to use, you decide that before writing anything down. As at AS, method marks are independent of the final accuracy mark, and a "show that" question is marked on whether your working reaches the stated result by valid steps, not merely on whether your final line matches it.
Calculator technique
Use statistics mode to compute sample means, standard deviations and t-test statistics directly, then present the formula and substitution in your written working so the method marks are visible on the page, not only the final number on the calculator screen. Use a single memory slot to hold a repeated intermediate value, such as a pooled variance you will reuse across two consecutive test statistics. If your calculator has a numeric equation solver, use it only to check a root or a critical value you have already derived, this specification bans computer algebra systems that manipulate algebra symbolically. CCEA and JCQ rules do not permit any stored, retrievable information in your calculator, including saved programs, formula lists or notes, so clear your calculator's memory before the exam and use exam mode if it has one, since a reset button alone does not clear stored programs.
Exam-day plan
Confirm your A2 2 section pairing the night before and write it at the top of your answer booklet before you start. In A2 1, spend proportionally more time on further calculus and hyperbolic functions, they carry the most marks in that paper, and keep five minutes at the end to check that every improper integral has clear limit notation, every induction argument has a closing sentence, and every differential equation's classification matches its discriminant.