Syllabus Cambridge International A the further development of mathematical skills including the use of applications of mathematics in the context of everyday situations and in other subjects that they may be studying; the ability to analyse problems logically, recognising when and how a situation may be represented mathematically; the use of mathematics as a means of communication; a solid foundation for further study. The syllabus allows Centres flexibility to choose from three different routes to AS Level Mathematics Pure Mathematics only or Pure Mathematics and Mechanics or Pure Mathematics and Probability and Statistics. Centres can choose from three different routes to A Level Mathematics depending on the choice of Mechanics, or Probability and Statistics, or both, in the broad area of applications. 1.3 How can I find out more? If you are already a Cambridge Centre You can make entries for this qualification through your usual channels, e.g. CIE Direct. If you have any queries, please contact us at internationalcie.org.uk. If you are not a Cambridge Centre You can find out how your organisation can become a Cambridge Centre. Email us at internationalcie.org.uk. Learn more about the benefits of becoming a Cambridge Centre at www.cie.org.uk. www.a-level365.com 4 Cambridge International A Mechanics (units M1 and M2); Probability and Statistics (units S1 and S2). Centres and candidates may: take all four Advanced (A) Level components in the same examination session for the full A Level. follow a staged assessment route to the A Level by taking two Advanced Subsidiary (AS) papers (P1 take the Advanced Subsidiary (AS) qualification only. AS Level candidates take: Paper 1: Pure Mathematics 1 (P1) 1 hours About 10 shorter and longer questions 75 marks weighted at 60% of total plus one of the following papers: Paper 2: Pure Mathematics 2 (P2) Paper 4: Mechanics 1 (M1)Paper 6: Probability and Statistics (S1) 1 hours About 7 shorter and longer questions 50 marks weighted at 40% of total 1 hours About 7 shorter and longer questions 50 marks weighted at 40% of total 1 hours About 7 shorter and longer questions 50 marks weighted at 40% of total www.a-level365.com 5 Cambridge International A otherwise, the subject content for different units does not overlap, although later units in each subject area assume knowledge of the earlier units. www.a-level365.com 7 Cambridge International A develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject; acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying; develop the ability to analyse problems logically, recognise when and how a situation may be represented mathematically, identify and interpret relevant factors and, where necessary, select an appropriate mathematical method to solve the problem; use mathematics as a means of communication with emphasis on the use of clear expression; acquire the mathematical background necessary for further study in this or related subjects. 3.2 Assessment objectives The abilities assessed in the examinations cover a single area: technique with application. The examination will test the ability of candidates to: understand relevant mathematical concepts, terminology and notation; recall accurately and use successfully appropriate manipulative techniques; recognise the appropriate mathematical procedure for a given situation; apply combinations of mathematical skills and techniques in solving problems; present mathematical work, and communicate conclusions, in a clear and logical way. www.a-level365.com 8 Cambridge International A find the discriminant of a quadratic polynomial ax 2 + bx + c and use the discriminant, e.g. to determine the number of real roots of the equation ax 2 + bx + c = 0; solve quadratic equations, and linear and quadratic inequalities, in one unknown; solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic; recognise and solve equations in x which are quadratic in some function of x, e.g. x 4 5x 2 + 4 = 0. 2. Functions understand the terms function, domain, range, one-one function, inverse function and composition of functions; identify the range of a given function in simple cases, and find the composition of two given functions; determine whether or not a given function is one-one, and find the inverse of a one-one function in simple cases; illustrate in graphical terms the relation between a one-one function and its inverse. www.a-level365.com 9 Cambridge International A find the equation of a straight line given sufficient information (e.g. the coordinates of two points on it, or one point on it and its gradient); understand and use the relationships between the gradients of parallel and perpendicula