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Maths (O) Maths (H)
All the help you need for your Maths exam is here. Consult our exam help on the right for a checklist of revision topics, a comprehensive guide to the exam paper, a model answer to show you how you can maximise your marks and a useful analysis of likely topics. Then view our study notes below.

Study Notes
These study notes cover the Maths ordinary level syllabus, offering an overview of each major topic, its significance and a summary of the key 'must know' information. They are designed to aid your revision and help you identify any information gaps.
Arithmetic Arithmetic, as it is studied at this level, is often referred to as 'social mathematics' i.e. the sort of maths you encounter every day. Over the years, arithmetic questions (question 1 on Paper One) have been quite wide-ranging. Click here »»
Algebra Algebra uses letters, called 'variables', to stand for unknown or general quantities and this opens up new and exciting areas of maths. It forms the backbone of the first paper, with two full questions (questions 2 and 3).
Click here »»
Complex Numbers & Matrices Complex numbers are numbers which contain the so-called imaginary unit i, which stands for the square root of -1. Question 4 on Paper One each year deals exclusively with complex numbers in a similar way. Click here »»
Sequences and Series Sequences and series are examined in question 5 on Paper One each year. Like most other questions on the first paper, a certain proficiency with algebra is required to answer many of the harder questions. Click here »»
Functions & Graphs The concept of a function is very important in maths and allows associated items to be represented visually by means of graphs. On Paper One, functions and graphs are examined with differentiation in questions 6 and 8. Click here »»
Differentiation Differentiation is a technique, first introduced over 300 years ago, to deal mathematically with the idea of rate of change. It appears mainly in question 7 on Paper One but can also be examined in questions 6 and 8. Click here »»
Areas and Volumes Question 1 on Paper Two deals with mensuration (i.e., measuring), otherwise known as Areas and Volumes and  deals with the perimeters and areas of plane objects like triangles, rectangles and circles. Click here »»
The Line A  fundamental idea in co-ordinate geometry is that of the equation of a line and its properties e.g., slope, distance, midpoint and the area of a triangle. Question 2 on Paper Two is a popular choice. Click here »»
The Circle The Circle is examined in question 3 of Paper Two and is another very popular question. While many of the techniques are similar to those met in The Line, many questions can involve a high level of algebra. Click here »»
Geometry Theorems Among the most important proofs in traditional maths are the proofs of the theorems from Euclidean geometry. You are required to learn ten theorems and one of these proofs will be asked in question 4 on Paper Two. Click here »»
Trigonometry Trigonometry is examined in question 5 on Paper Two. A number of the key formulae are provided in the maths tables while some others have to be learned. Answering questions will involve using a calculator. Click here »»
Probability & Statistics Probability is well known to the non-mathematical person as the idea of chance - of something happening, or not happening, when some kind of measurement is taken. There is no algebra involved in question 6. Click here »»
Statistics Statistics is the area of maths that is concerned with displaying data in an easily understandable fashion, and summarising data (average and spread etc). Question 7 on Paper Two is another popular question. Click here »»
Further Geometry In this option topic, examined in question 8 on Paper Two, there are five different, more challenging theorems whose proofs have to be learned. Cuts of any standard, easy or hard, can be asked. Click here »»
Vectors The study of Vectors is a relatively new area of maths, dealing with translations or movement. Vectors can be used to provide neater, more elegant proofs for many theorems in geometry. Appears in question 9 on Paper Two.
Click here »»
Further Series In this option topic, we see some of the applications of geometric and arithmetic series. In question 10 on Paper Two, we also meet another kind of series, called a binomial series. Click here »»
Linear Programming Linear Programming is an interesting and practical topic which relies heavily on concepts from co-ordinate geometry of the line. It features in the final option question on Paper Two (question 11). Click here »»
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Exam Guide
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Past Paper Analysis
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Model Answer
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