Cambridge IGCSE Additional Mathematics, code 0606, is an algebra-and-calculus course for students who already handle IGCSE-level maths comfortably. This guide explains how the subject is built, gives a study order for every topic we cover, and shows how to study it so that unfamiliar questions become approachable.
What exactly is 0606?
Additional Mathematics is a separate Cambridge IGCSE qualification with its own syllabus code, 0606. It is not a harder version of the 0580 Mathematics course. It covers different material, and it asks you to use it differently.
Content, assessment structure, calculator rules and given formulae are set by Cambridge for each examination year. Before you rely on anything in a textbook or on our pages, read the specification for your exam year on the Cambridge 0606 page. Our 0606 code and exam-year guide lists what to check, and the syllabus and exam-year navigator gives you a place to record it. We are a tuition service, not an exam centre, so entry and registration go through your school or exam centre.
How is the subject built?
The subject rests on one habit: recognise what a question is asking, then choose a method. Many questions combine topics, and the method is rarely named.
A few examples of how wording hides the method:
| If the question says | The idea underneath |
|---|---|
| “The line touches the curve” | A repeated root, so the discriminant is zero |
| “Find the greatest or least value” | A stationary point, or a completed square |
| “Show that” | A proof, where every line must be justified |
| “For all values of x” | An identity, or a statement about a whole interval |
| “Express in the form a + b√c” | Exact working, no rounding |
Students who only memorise procedures struggle here. Students who practise reading questions for their structure improve more quickly.
In what order should I study the topics?
The order below puts algebra first, because it carries everything after. Each line links to a module with lessons and original practice. Your school may follow another sequence, which is fine. Use this route for your own revision and gap-filling.
Algebra and functions
- Quadratic structure and discriminants: completing the square, roots and the discriminant, which reappear in many later questions.
- Algebraic equations and inequalities: solving with restrictions, sign intervals and rejecting extra roots.
- Functions and restrictions: domain, range, composites and inverses.
- Polynomial factors and remainders: factor and remainder reasoning for higher-degree expressions.
- Simultaneous linear and nonlinear models: intersections and solving systems with a quadratic.
- Exponential and logarithmic reasoning: the rules of logs and solving in exponent form.
Coordinate geometry and trigonometry
- Straight lines and linearisation: gradients, equations and turning curved data into a line.
- Circle coordinate methods: equations, tangents and chords of a circle.
- Radians, arcs and sectors: measuring angles in radians and using them for arcs and areas.
- Trigonometric identities: the relationships that let you rewrite expressions.
- Trigonometric equations and graphs: solutions within an interval, and graph shape.
Counting, sequences and vectors
- Permutations and combinations: counting arrangements and selections.
- Arithmetic and geometric series: patterns, sums and convergence.
- Binomial expansion: expanding powers and picking out terms.
- Two-dimensional vector proofs: using vectors to show geometric facts.
Calculus
- Differentiation techniques: rules for gradients of products, quotients and composites.
- Stationary points and optimisation: maxima, minima and building a model.
- Tangents, normals and rates: equations of tangents, and rates of change.
- Integration methods: reversing differentiation and finding areas.
- Areas and motion: signed and geometric area, and integration in kinematics.
Across everything
- Advanced non-calculator reasoning: exact values and careful working. Practise this alongside every topic above.
How should I study it?
Attempt before you read. Try each new question for five to ten minutes before looking at a solution. Even a failed attempt teaches you what the question was hiding.
Name the method before you compute. Write one line, “This is asking for a repeated root, so the discriminant”, before any algebra. The habit is worth more than any single formula.
Keep an error log. For each wrong answer, record whether the cause was recognition, algebra, exactness or misreading. The pattern tells you what to revise.
Mix topics. After a topic is comfortable, practise questions where the topic is not named. Our original practice sets are ordered for this.
Revise using actual gaps. Our revision guide and study route guide help you build a plan from your own error log rather than from the whole syllabus.
Which difficulties come up most?
- Losing solutions in a trigonometric interval: see help with trigonometric intervals.
- Forgetting domain restrictions: see help with function domains.
- Differentiating correctly but being unable to set up the model: see help with optimisation models.
- Confusing signed integrals with geometric area: see help with signed integrals.
- Being unable to start a proof: see help with starting a proof.
- Losing marks on exact, non-calculator working: see help with exact working.
Key vocabulary is in the Additional Mathematics terminology guide. The non-calculator working trainer and quadratic structure explorer let you practise two of the most important skills interactively.
What does individual tuition add?
Reading a guide tells you what the topics are. It cannot watch you start a question. A one-to-one teacher sees where your first move goes wrong, corrects it as it happens, and adjusts the pace to your gaps, including going back to algebra when that is the real cause.
If this is what you need, see our online one-to-one Additional Mathematics tuition. An experienced teacher is assigned to you, and the paid one-hour trial starts from RM80 at that teacher’s confirmed rate. Later arrangements are agreed directly with the teacher.