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About this exam

CM1 (Actuarial Mathematics) is one of the Core Principles subjects in the Institute and Faculty of Actuaries (IFoA) qualification pathway. It is aimed at candidates working toward Associate or Fellowship status, and it is usually taken after the earlier Core Principles subjects and alongside or before the more modelling-heavy later subjects. The syllabus is mathematical rather than descriptive: it builds from the theory of interest through term structure and simple stochastic asset models, then applies those tools to survival models, present-value random variables, life tables, assurance and annuity benefits, premiums and reserves. Later sections cover mortality and morbidity models including selection and multiple-decrement and multiple-state models, profit testing and surplus analysis, reserving and solvency, and the benefit structures and funding of pension and social security schemes. Preparation is best done by working problems rather than reading passively: derive annuity and assurance functions from first principles, keep a formula sheet you can justify line by line, practise life-table and commutation-function calculations until they are fluent, and rehearse written-answer layouts under time pressure. This page is an independent study resource and is not affiliated with, endorsed by, or connected to the IFoA.

What you'll study

Common questions

About IFoA CM1 preparation

What is the format of the CM1 exam?

CM1 is a closed-book, computer-based written-answer exam, with some multiple-choice items in part. You type workings and answers rather than choosing from options throughout, so layout and clear intermediate steps matter. The IFoA publishes the current paper structure, timings and any calculator rules on its own website.

How long is the exam and how many marks does it carry?

The official body publishes the current duration and mark allocation, and these have changed over time, so check the IFoA site rather than relying on second-hand figures. Plan on a paper that rewards speed with standard calculations and depth on longer multi-part questions.

How difficult is CM1 compared with other Core Principles subjects?

Most candidates find the algebra and life-contingency notation the main hurdle rather than the concepts. The ideas are accessible, but fluency with annuity and assurance functions, life tables and multiple-state models takes deliberate practice. It is generally considered a substantial step up in mathematical intensity from the earlier Core Principles subjects.

Can I retake CM1, and how often is it offered?

Retakes are permitted under the IFoA's rules, subject to any limits on attempts or sittings that apply at the time. The exam is offered at scheduled sittings during the year. Confirm current retake conditions, sitting dates and entry deadlines directly with the IFoA.

In what order should I study the CM1 syllabus?

Work through the interest theory first, because everything later depends on accumulation, discounting and annuity values. Then move to term structure and simple stochastic models, followed by survival models and present-value random variables. Life tables, benefits, premiums and reserves form the core block; leave profit testing, reserving and pensions until the foundations are solid.

Where do candidates most often lose marks?

Common failure modes are rushing the setup of equations of value, muddling annuity-due and annuity-immediate, confusing assurance notation, and dropping the timing assumption in multi-state or multiple-decrement questions. Weak written presentation also costs marks: unexplained symbols and missing intermediate steps make correct answers hard to credit.

Do I need to memorise the life-table formulas?

You should be able to derive the main relationships rather than only recall them, because exam questions often ask for a result in an unfamiliar form. Practise moving between lx, dx, px, qx and commutation functions until the conversions are automatic, and check numerical answers against a life table you can compute confidently.

How should I prepare in the final weeks?

Shift from reading to timed practice. Work past-style questions and the IFoA's published specimen materials under exam conditions, then review errors by topic rather than by paper. Keep a one-page summary of notation and standard results, and rehearse how you will lay out multi-part answers so the marker can follow your reasoning.