IGCSE Additional Mathematics (0606): The Complete Guide for Parents and Students
Based on the official Cambridge syllabus for 2025–2027 · Last reviewed July 2026
The hardest IGCSE Maths paper and the one that bridges to A Level. This guide maps every topic, assessment objective, and exam technique you need to know.
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Cambridge IGCSE Additional Mathematics (0606) is one of the most demanding qualifications a 14–16 year old can take, and for ambitious students in Malaysia it is a powerful signal of mathematical strength and a genuine head start on A-Level and IB. This guide explains everything a parent or student needs to know: who the course is for, the complete list of topics, how the exams work, the command words that decide marks, and how the qualification is graded.
Quick answer
IGCSE Additional Mathematics (0606) is a single-tier qualification (grades A*–E, no Core/Extended split) taken alongside standard IGCSE Math, not instead of it. It introduces calculus, advanced algebra, trigonometry and more across 14 topics. Since 2025, Paper 1 is a non-calculator paper, so both calculation confidence and calculator skill matter. Because marks are now awarded heavily for working, exam technique is just as important as content knowledge.
Overview
What is IGCSE Additional Mathematics (0606)?
Cambridge IGCSE Additional Mathematics (syllabus code 0606) is an advanced mathematics qualification usually studied alongside standard IGCSE Mathematics, not instead of it. It is designed for high-ability students aged roughly 14 to 16 and stretches them well beyond the standard course, introducing calculus, advanced algebra, trigonometry and more to build a fluent, confident ability to solve problems in abstract mathematics.
Single-tier
Unlike standard IGCSE Math, there is no Core/Extended split. All candidates study the same content and sit the same papers, with grades A* to E available.
Study time
Approximately 130 guided learning hours, though this varies by student.
Assumes
Knowledge of IGCSE Mathematics (0580 or 0980), including indices and surds (moved to assumed knowledge from 2025). Students should already be strong at the standard course before starting.
Recognition
Internationally recognised and benchmarked against the UK GCSE. Grades A* to C are good preparation for A-Level Mathematics, IB and other numerate pathways.
Exam series
Available in the June and November series (and March in India).
Restrictions
Cannot be taken in the same series as Cambridge O Level Additional Mathematics (4037), or any syllabus with the same title at the same level.
A*ABCDE
Grades available: A* to E only. A candidate below the E threshold is unclassified.
New to IGCSE grading?
Our companion guide, The IGCSE Grading System Explained, covers A*–G, grade thresholds and what each grade means for your child’s next step.
What the course builds
The aims: what Cambridge designs this course to develop
Beyond passing an exam, the 0606 syllabus is built around a clear set of aims. Students should develop the ability to:
engage with mathematics in a way that builds on existing knowledge and enhances enjoyment of the subject
develop an instinct for mathematical enquiry and use it flexibly to suit a situation
reinforce and extend mathematical skills and apply them to complex problems
use creativity and resilience to analyse and solve problems
work confidently both with and without a calculator
justify reasoning using structured arguments
see the connections between different areas of mathematics
acquire a solid foundation for advanced study of mathematics or highly numerate subjects.
How the exams reward this: assessment objectives
Every exam question tests one of two objectives. AO1 (Knowledge and understanding of mathematical techniques) covers recalling and applying methods, carrying out procedures, using correct notation and working accurately. AO2 (Analyse, interpret and communicate mathematically) covers choosing strategies, making connections, drawing conclusions and communicating methods clearly.
In Additional Mathematics the two objectives are weighted almost evenly, roughly 45–55% each, which means students are rewarded just as much for clear reasoning and problem-solving as for knowing methods. Memorising techniques alone will not earn top grades.
The Most Important Decision
Is Additional Mathematics right for my child?
This is the most consequential decision a family makes about 0606, because the course is genuinely harder than standard IGCSE Math and is not intended for every student.
It is designed to stretch the most able candidates. Cambridge describes it as a course for students who are already fluent and confident in mathematics and who want a smooth transition to AS & A Level Math.
It assumes the standard course as a foundation. Knowledge of IGCSE Mathematics (0580 or 0980), including indices and surds, is expected before starting.
It is usually taken in addition, not instead. Most students sit 0606 alongside 0580, so a strong performance in standard Math is the usual prerequisite.
As a rule of thumb, students consistently scoring top marks in IGCSE Math, enjoying the subject, and planning to take A-Level Math, Further Math or IB Higher Level Math are the natural candidates. A short diagnostic is the most reliable way to decide, since taking 0606 without a secure grounding in the standard course is a common and avoidable cause of frustration.
Already taking standard IGCSE Math?
Read our guide to IGCSE Mathematics (0580) first to understand the foundation that Additional Mathematics builds on.
The Exams
Exam format
All candidates take two written papers, each counting for 50% of the final grade. Since 2025, Paper 1 is a non-calculator paper, making fluent algebraic and exact-value methods essential.
Paper
Duration
Marks
Calculator
Weighting
Paper 1 (Non-calculator)
2 hours
80
Not allowed
50%
Paper 2 (Calculator)
2 hours
80
Scientific calculator required
50%
No topic is safe to ignore on either paper, both draw on any part of the syllabus. Each paper contains a mixture of structured and unstructured questions, and both are externally set and marked by Cambridge.
Show all working. From 2025, mark schemes award more marks for working in line with other Cambridge Mathematics qualifications, a correct final answer with no method shown can still lose marks.
Accuracy: non-exact answers should be given to at least three significant figures (or at least one decimal place for angles in degrees) unless stated otherwise. Where a question asks for exact values, answers may need to be left in terms of π, e, natural logarithms or surds. Do not round too early in a calculation.
The formula list: what is given, and what is not
Each paper provides a formula list on page 2, but it is deliberately not exhaustive. Knowing what is not given is a genuine exam-technique advantage.
Provided in the exam
NOT provided, must be memorised
Equation of a circle; curved surface area of a cone; surface area & volume of a sphere; volume of a pyramid or cone; quadratic formula; binomial theorem (and nCr); arithmetic & geometric series formulas (including sum to infinity); the three trig identities (sin²A + cos²A = 1, sec²A = 1 + tan²A, cosec²A = 1 + cot²A); sine rule, cosine rule and area = ½ ab sin C
Arc length and sector area (circular measure formulas); all of calculus (every derivative and integral must be known cold); laws of logarithms; remainder and factor theorems; definitions and relationships of the six trigonometric functions.
The Syllabus
The complete list of topics
Cambridge IGCSE Additional Mathematics is organised into 14 topics. All candidates study all 14. Click any topic to see the full content.
Understanding the terms function, domain, range, one-one and many-one function, inverse function and composition
Using function notation including f(x), fg(x) and f²(x)
Understanding the relationship between y = f(x) and its modulus y = |f(x)| for linear, quadratic, cubic and trigonometric functions
Explaining why a given function does not have an inverse
Finding the inverse of a one-one function
Forming and using composite functions (fg is not generally the same as gf)
Using sketch graphs to show that a function and its inverse are reflections in the line y = x
Finding the maximum or minimum value of a quadratic by completing the square or by differentiation
Using the result to sketch the graph or find a range for a given domain
Using the discriminant to determine whether a quadratic has two real roots, two equal roots or no real roots
Determining the related conditions for a line to intersect, be a tangent to, or not intersect a curve
Solving quadratic equations by factorisation, formula and completing the square
Finding the solution set for quadratic inequalities
Knowing and using the remainder theorem and the factor theorem
Finding factors of polynomials (for a cubic: first obtaining a product of a linear factor and a quadratic factor, by observation or algebraic long division)
Solving cubic equations
Solving modulus equations (such as |ax + b| = c and |ax + b| = |cx + d|) algebraically or graphically
Solving a range of modulus inequalities
Using substitution to form and solve a quadratic in order to solve a related equation (e.g. an equation in ln x or ex)
Sketching the graphs of cubic polynomials and their moduli when given as a product of three linear factors, with intercepts labelled
Solving cubic inequalities graphically
Solving simultaneous equations in two unknowns by elimination or substitution
Includes cases where one equation is linear and one is non-linear (e.g. a straight line meeting a curve)
Knowing and using the properties and graphs of logarithmic and exponential functions, including ln x and ex, understanding that they are inverses of each other
Understanding the asymptotic nature of these graphs and stating equations of asymptotes
Knowing and using the laws of logarithms, including change of base
Solving equations of the form ax = b
Note: the laws of logarithms are not provided in the exam and must be memorised.
Using the equation of a straight line
Knowing and using the conditions for two lines to be parallel or perpendicular
Solving problems involving the midpoint and length of a line, including finding and using the equation of a perpendicular bisector
Transforming given relationships (such as y = Axn or y = Abx) to and from straight-line form
Determining unknown constants from the gradient or intercept of the transformed graph
Knowing and using the equation of a circle with a given radius and centre; identifying the centre and radius from an equation in any form
Solving problems involving the intersection of a circle and a straight line (including determining whether a line is a tangent, chord, or does not meet the circle)
Solving problems involving tangents to a circle
Solving problems involving the intersection of two circles (including finding a common chord and determining whether circles intersect, touch or do not meet)
New to the syllabus from 2025.
Solving problems involving arc length and sector area of a circle
Knowledge and use of radian measure
Applying to compound shapes
The arc length and sector area formulas are not provided in the exam, students must know them.
Knowing and using the six trigonometric functions (sine, cosine, tangent, secant, cosecant, cotangent) of angles of any magnitude
Understanding and using amplitude and period
Drawing and using the graphs of y = a sin bx + c, y = a cos bx + c and y = a tan bx + c
Using the three key identities: sin²A + cos²A = 1; sec²A = 1 + tan²A; cosec²A = 1 + cot²A
Solving trigonometric equations over a given domain
Proving trigonometric relationships
Recognising the difference between permutations and combinations and knowing when each is used
Knowing and using the notation n! and the expressions for permutations and combinations of n items taken r at a time (including 0! = 1)
Solving arrangement and selection problems
Problems involving repetition, circular arrangements, or a combination of permutations and combinations are not included.
Using the binomial theorem to expand (a + b)n for positive integer n
Using the general term to find, for example, a term independent of x
Recognising the difference between arithmetic and geometric progressions
Using the formulas for the nth term and the sum of the first n terms
Using the condition for convergence of a geometric progression and the formula for its sum to infinity
Understanding and using vector notation in its various forms
Knowing and using position vectors and unit vectors
Finding the magnitude of a vector; adding, subtracting and multiplying vectors by scalars
Equating like vectors and solving problems using vector geometry
Composing and resolving velocities, including using a velocity vector to determine position and solve problems such as particles colliding
The idea of a derived function and the relevant notation
Derivatives of standard functions: xn, sin x, cos x, tan x, ex, ln x, including constant multiples, sums and the chain rule
Differentiating products and quotients
Using differentiation to find gradients, tangents and normals
Finding stationary points and using the first and second derivative tests
Applying differentiation to connected rates of change, small increments and approximations
Applying differentiation to maxima and minima problems
Understanding integration as the reverse of differentiation; integrating standard forms
Evaluating definite integrals and finding plane areas
Applying calculus to kinematics (displacement, velocity and acceleration)
No calculus formulas are provided in the exam, every derivative and integral must be known.
Exam Technique
Command words, and why they decide marks
Cambridge uses a fixed set of command words in its questions. Each one tells the student exactly what kind of answer is expected. Reading them correctly is one of the simplest ways to avoid losing marks.
Command word
What it asks the student to do
Calculate
Work out from given facts, figures or information
Work out
Calculate, with or without a calculator
Determine
Establish with certainty
Show (that)
Provide structured evidence that leads to a given result, every step must be shown
Verify
Confirm that a given statement or result is true
Describe
State the points of a topic; give characteristics and main features
Explain
Set out reasons, or say why and how, with supporting evidence
Sketch
Make a simple freehand drawing showing the key features
Plot
Mark points on a graph
Give / State / Write
Give an answer from a source, from memory, or in a specific form
Write down
Give an answer without significant working
Why this matters more in Add Math
“Write down” expects a quick answer with no working, while “Show that” and “Verify” expect every step of the reasoning to be set out clearly. With the 2025 mark schemes now awarding more marks for working, a correct final answer with no method shown can still lose marks, which makes reading command words more important than ever.
Results
How IGCSE Additional Math is graded
Cambridge IGCSE Additional Mathematics is reported on an A* to E scale. Unlike standard IGCSE Math, grades F and G are not available: a candidate who does not achieve the minimum mark for grade E is unclassified. A* is the highest grade; “ungraded” appears on the statement of results but not on the certificate.
Grades are set using thresholds decided after each exam series, so the exact marks needed for each grade vary from session to session.
Full grading guide
For the full picture, including how grade boundaries are set, what each grade signals to universities and what a “pass” really means, read The IGCSE Grading System Explained.
How to Do Well
Seven things that actually move grades
1
Secure the standard-course foundation first
0606 assumes fluency in IGCSE Math, including indices and surds. Gaps in algebra will surface immediately, so shore them up before or early in the course.
2
Master both papers
With a non-calculator Paper 1, students need fluent algebraic and exact-value methods as well as calculator skill for Paper 2. These are different skills and both need deliberate practice.
3
Memorise what the formula list leaves out
Circular measure formulas and the whole of calculus are not given in the exam. Knowing every derivative and integral cold is essential, not optional.
4
Show full working
Mark schemes now reward working heavily. Students should communicate every step, especially on “show that” and “verify” questions, even when the method seems obvious.
5
Answer the command word
Read whether a question says “show that”, “write down” or “explain” and respond accordingly. Treating “verify” the same as “write down” will cost method marks.
6
Practise past papers under timed conditions
This is the single most effective way to build the accuracy, pacing and mark-scheme awareness that grade thresholds reward. Doing this consistently from the start of the course, not just before the exam, is what separates high scorers.
7
Understand, don’t memorise
Because questions combine topics and appear in unfamiliar contexts, real understanding holds up where rote learning fails, especially in Calculus and Functions, where the most demanding marks are found.
This is exactly what we teach.
Brainiac’s small-group IGCSE Additional Math classes are built around mark-scheme mastery and past-paper practice. Our holiday crash courses are designed to close gaps and sharpen exam technique before the exams.
Students should have followed the Cambridge Lower Secondary programme or equivalent, and are assumed to know IGCSE Mathematics (0580 or 0980), including indices and surds.
Combining subjects
0606 cannot be taken in the same series as Cambridge O Level Additional Mathematics (4037), or any syllabus with the same title at the same level.
Group award
A strong set of IGCSEs including Additional Mathematics can count toward the Cambridge ICE (International Certificate of Education) group award.
Retakes
Candidates can retake the whole qualification as many times as they wish.
Private candidates
Private candidates can enter for this syllabus.
Assessment balance
AO1 and AO2 are weighted almost evenly (roughly 45–55% each), meaning reasoning and problem-solving count just as much as technical accuracy.
Questions
Frequently asked questions
Is IGCSE Additional Math hard?
▾
Yes, it is deliberately designed to stretch the most able students and is a clear step up from standard IGCSE Math, introducing calculus and advanced algebra. It is very achievable for a student who is already strong at the standard course, has good exam technique, and practises consistently.
What is the difference between Additional Math (0606) and standard IGCSE Math (0580)?
▾
0580 is the standard qualification every student takes, covering foundational topics across nine areas. 0606 is a separate, harder qualification for high-ability students, adding calculus, advanced trigonometry, series, functions and more. Most students take both, and 0606 assumes 0580 as its foundation. Read our full guide to IGCSE Mathematics (0580).
Does my child need to take standard IGCSE Math as well?
▾
In almost all cases, yes. Additional Mathematics assumes knowledge of the standard course and is normally studied alongside it, not as a replacement.
Do students need a calculator?
▾
Yes, a scientific calculator is required for Paper 2. Calculators are not allowed on Paper 1, so fluent algebraic and exact-value methods matter just as much. Since 2025, both papers also award more marks for working shown.
Is there a Core and Extended tier?
▾
No. Additional Mathematics is single-tier, all candidates study the same 14 topics and can be awarded grades A* to E. A candidate below the E threshold is unclassified.
How many topics are there?
▾
Fourteen: Functions; Quadratic functions; Factors of polynomials; Equations, inequalities and graphs; Simultaneous equations; Logarithmic and exponential functions; Straight-line graphs; Coordinate geometry of the circle; Circular measure; Trigonometry; Permutations and combinations; Series; Vectors in two dimensions; and Calculus.
Why should my child take Additional Math?
▾
It is excellent preparation for A-Level Math, Further Math and IB Higher Level Math, and a strong signal of mathematical ability to universities. The calculus and advanced algebra give students a genuine head start on post-16 study.
What grade does my child need for A-Level or IB?
▾
Requirements vary by school and course, but a good grade in 0606 (often B or above) is highly valued for entry to A-Level Math, Further Math and IB Higher Level Math. For more on grades, see The IGCSE Grading System Explained.
Sources & note: This guide is based on the official Cambridge IGCSE Additional Mathematics 0606 syllabus for 2025, 2026 and 2027 (Cambridge Assessment International Education). Syllabus content, exam formats and grade thresholds can change, always check the latest official syllabus for your child’s exam series at the Cambridge International website. This is general information, not official examination guidance.
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