Cambridge International · IGCSE · 0606
Additional Mathematics — Keywords & Key Terms — Definitions Glossary (2026)
Cambridge IGCSE Additional Mathematics (0606)
Topic-by-topic keywords, key terms and definitions for precise exam language—separate from our revision checklists (topic coverage) and formula sheets (equations).
Keywords & Key Terms — definitions
Examiner-style keywords and definitions organised by syllabus topic. Terms are tagged Essential (start here), Core (typical exam standard), and Advanced for harder distinctions — tick each row when you can recall it. Your progress is saved in this browser for this list.
Cambridge International IGCSE Additional Mathematics (0606)
Cambridge International IGCSE Additional Mathematics (0606)
Cambridge IGCSE Additional Mathematics (0606)
Aligned to Cambridge IGCSE Additional Mathematics 0606 (2026): algebra and functions, calculus, trigonometry and vectors, and sequences and series — preparing students for AS/A Level Mathematics.
Mark schemes: Cambridge expects clear working with correct mathematical notation — exact surd/fraction form unless asked for decimals, proper use of dx in integration, and stated identities — and method marks are awarded for valid steps even if the final answer contains an arithmetic slip.
Active recall: 0 / 25 terms ticked
| Recalled | Topic | Level | Keyword | Definition |
|---|---|---|---|---|
| Algebra & functions | Essential | Polynomial | Expression of the form aₙxⁿ + … + a₁x + a₀ with non-negative integer powers. | |
| Algebra & functions | Core | Factor theorem | (x − a) is a factor of f(x) if and only if f(a) = 0. | |
| Algebra & functions | Core | Remainder theorem | When f(x) is divided by (x − a), the remainder equals f(a). | |
| Algebra & functions | Core | Completing the square | Rewriting ax² + bx + c as a(x + p)² + q to find vertex or roots. | |
| Algebra & functions | Core | Surds & indices | Irrational roots kept exact; laws aᵐ × aⁿ = aᵐ⁺ⁿ for manipulation. | |
| Algebra & functions | Core | Modulus function |x| | Absolute value — distance from zero on the number line. | |
| Algebra & functions | Advanced | Composite & inverse functions | f(g(x)) applies g first; f⁻¹ reverses f, reflecting graph in y = x. | |
| Calculus | Essential | Differentiation | Process of finding the gradient function dy/dx of a curve. | |
| Calculus | Core | Chain / product / quotient rules | Methods for differentiating composite, product and quotient functions. | |
| Calculus | Core | Second derivative | d²y/dx² — used to test concavity and classify stationary points. | |
| Calculus | Core | Stationary points | Where dy/dx = 0 — maxima, minima or points of inflexion. | |
| Calculus | Core | Integration by inspection | Reverse of differentiation — recognising standard forms. | |
| Calculus | Advanced | Definite integral | ∫ₐᵇ f(x) dx gives signed area under curve, by fundamental theorem of calculus. | |
| Trigonometry & vectors | Essential | Radian measure | Angle subtending arc equal to radius — π radians = 180°. | |
| Trigonometry & vectors | Core | Pythagorean identity | sin²θ + cos²θ = 1 — basis of many trig manipulations. | |
| Trigonometry & vectors | Core | Double-angle formula | sin 2θ = 2 sinθ cosθ; cos 2θ has three equivalent forms. | |
| Trigonometry & vectors | Core | R-formula | a sinθ + b cosθ = R sin(θ + α) for solving and finding extrema. | |
| Trigonometry & vectors | Core | Vector magnitude | |v| = √(x² + y²) — length of a vector from its components. | |
| Trigonometry & vectors | Advanced | Scalar (dot) product | a · b = |a||b| cosθ — used to find angles and test perpendicularity. | |
| Sequences & series | Core | Arithmetic progression | Sequence with constant common difference d; nth term a + (n−1)d. | |
| Sequences & series | Core | Geometric progression | Sequence with constant common ratio r; nth term arⁿ⁻¹. | |
| Sequences & series | Core | Sum to n terms | Sₙ formulas for AP and GP — used in finance and counting problems. | |
| Sequences & series | Core | Sum to infinity | S∞ = a / (1 − r) for a GP, valid only when |r| < 1. | |
| Sequences & series | Core | Factorial & combinations | n! = n(n−1)…1; ⁿCᵣ = n! / (r!(n−r)!) counts unordered selections. | |
| Sequences & series | Advanced | Binomial expansion | (a + b)ⁿ = Σ ⁿCᵣ aⁿ⁻ʳ bʳ — finite for positive integer n. |
Pair this with our revision checklists, formula sheets hub and past paper finder.
Additional Mathematics (0606) — Keywords & Key Terms FAQ
- What is on this Cambridge International IGCSE Additional Mathematics keywords and key terms list?
- It is a topic-organised glossary of important additional mathematics terms with short, exam-style definitions aligned to Cambridge IGCSE Additional Mathematics (0606) (0606). It is designed for “define”, “state”, “outline” and “explain” questions where precise vocabulary earns marks.
- How should I use this Additional Mathematics glossary alongside past papers?
- Tick terms when you can recall them without reading the answer, then check your wording against mark schemes. Pair vocabulary practice with past papers for IGCSE Additional Mathematics (0606) so you apply terms in context.
- Is this the same as a revision checklist or a formula sheet?
- No. Revision checklists help you track which syllabus topics you have covered and your confidence—separate pages on Tutopiya. Formula sheets summarise equations and quantitative relationships. This page is only a definitions and key-terms glossary for Additional Mathematics.
- Can I download this Additional Mathematics keywords and key terms list for free?
- Yes. After a quick free sign-up you can download a UTF-8 CSV (opens in Excel or Google Sheets) or open a print-friendly page and save as PDF. Browsing the list on the page is free.
- Is this Additional Mathematics list aligned to the 0606 specification?
- Topic groupings and wording follow Cambridge IGCSE Additional Mathematics (0606) for Cambridge International IGCSE. Always confirm final learning objectives and any regional options in your official specification and recent examiner reports for your exam session.
- Why focus on definitions instead of full notes?
- Mark schemes reward correct technical terms and clear links between ideas. A compact glossary lets you drill the exact language examiners expect for Additional Mathematics at IGCSE, separate from longer notes or topic trackers.