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Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school/for GCSEs which is applied to a range of problems set out in a different format and wider content to the standard Mathematics at the same level.
Additional Mathematics in Singapore
In Singapore, Additional Mathematics is an optional subject offered to pupils in Secondary School who have an aptitude in Mathematics and are in Normal (Academic) stream or Express stream. The syllabus covered is slightly more in depth as compared to Mathematics. Additional Mathematics is also a prerequisite for students who are intending to offer H2 Mathematics and H2 Further Mathematics at A-level if they choose to enter a Junior college after Secondary School. Students without Additional Mathematics at the 'O' level will usually offer H1 Mathematics instead.
Format for Singapore-Cambridge General Certificate Education (GCE) Ordinary Level (Express stream Additional Mathematics paper) is as follows:
Paper 1 (Duration 2 Hours) A variety of compulsory questions are being set, with a mark weighting from 1 Mark to maximum mark of 7. The total weighting of the paper is 80 marks and constitutes to 44% of the O Level Additional Mathematics grade.
Paper 2 (Duration 2 Hours 30 Minutes) A variety of compulsory questions are set. One of the questions would be a plotting question where one is required to plot a given graph on to a piece of graph paper. This can be either tested in Paper 1 or Paper 2. The total weighting of the paper is 100 marks and constitutes to 56% of the O Level Additional Mathematics grade.
A variety of topics are tested - Differentiation, Integration, Advanced Trigonometry, Binomial Expansion, Surds, Indices, Plane Geometry and many more.
GCSE Additional Mathematics in Northern Ireland
In Northern Ireland, Additional Mathematics was offered as a GCSE subject by the local examination board, CCEA. There were two examination papers: one which tested topics in Pure Mathematics and one which tested topics in Mechanics and Statistics. It was discontinued in 2014 and replaced with GCSE Further Mathematics.
Further Maths IGCSE and Additional Maths FSMQ in England
Starting from 2012, Edexcel and AQA have started a new course, which is an IGCSE in Further Maths. Edexcel and AQA both offer completely different courses, Edexcel including the calculation of solids formed through integration, AQA not touching on integration.
AQA's syllabus mainly offers further algebra, with the factor theorem and more complex algebra such as algebraic fractions as well as differentiation up to and including the calculation of normals to a curve. AQA's syllabus also includes a lot of matrices work, which is an AS Further Mathematics topic. AQA's syllabus is much more famous than Edexcel's, mainly for its controversial decision to award an A* with Distinction(A^), a grade higher than the maximum possible grade in any Level 2 qualification; it is known colloquially as a Super A* or A**.
A new Additional Maths course from 2018 is OCR Level 3 FSMQ: Additional Maths (6993).  In addition to algebra, coordinate geometry, pythagoras and trigonometry and calculus, which were on the previous specification, this includes ‘Enumeration’ content, which expands the binomial distribution with permutations and combinations; ‘Numerical methods’ content, which expands upon the informal graphical approximations in GCSE; 'Exponentials and Logarithms’ content, which develops the growth and decay content and the graphs section of GCSE; and Sequences using subscript notation to support the iterative work on numerical methods.
Additional Mathematics in Malaysia
In Malaysia, Additional Mathematics is offered as an elective to upper secondary students studying within the public education system. This subject is included in the Sijil Pelajaran Malaysia examination. Science stream students are required to apply for Additional Mathematics as one of the subjects in the Sijil Pelajaran Malaysia examination. Additional Mathematics is an optional subject for students who are from arts or commerce streams. Additional Mathematics in Malaysia which is commonly known as Add Maths covers various topics including functions, quadratic equations, quadratic functions, simultaneous equations, indices, logarithms, coordinate geometry, statistics, circular measure, differentiation, solution of triangles, and index numbers in Form 4, for a total of 11 chapters and progressions, linear law, integration, vectors, trigonometric functions, permutations, combinations, probability, probability distributions, motion along a straight line, and linear programming in Form 5, for a total of 10 chapters.
Format for Additional Mathematics Exam based on the Malaysia Certificate of Education is as follows:
Paper 1 (Duration: 2 Hours) A total of 25 questions tested based on the student's knowledge to grasp the concepts and formulae learned during their 2 years of learning. Each question may contain from zero to three subsets of questions with marks ranging from 2 to 5 marks. The total weighting of the paper is 80 marks and constitutes 44% of the grade.
Paper 2 (Duration: 2 hours 30 minutes) Questions are categorised into 3 sections: A, B and C. Section A contains 6 questions which must all be answered. Section B contains 5 questions where students are given the choice to answer 4 out of 5 of them. Section C contains 4 questions where students are only required to answer 2 out of 4 of the given questions. All Section C questions are based on the same chapters every year and are thus predictable. A question in Section C carries 10 marks with at least 4 subquestions per question. This paper tests the student's ability to apply various concepts and formulae in real-life situations. The total weighting of the paper is 100 marks and constitutes 56% of the grade.
In 2020, the first batch of students learning the new syllabus, KSSM, will receive new Form 4 textbooks with new chapters which contain certain topics from A-levels.
Additional Mathematics in Mauritius
In Mauritius, Additional Mathematics, more commonly referred to as Add Maths, is offered in secondary school as an optional subject in the Arts Streams and it is a compulsory subject in the Science, Technical and Economics Stream. This subject is included in the University of Cambridge International Examinations. Topics that are covered in the Additional Mathematics syllabus include functions, quadratic equations, differentiation and integration (calculus).
Additional Mathematics in Hong Kong
In Hong Kong, the syllabus of HKCEE additional mathematics covered three main topics, algebra, calculus and analytic geometry. In algebra, some topics are mathematical induction, binomial theorem, quadratic equations, trigonometry, inequalities, 2D-vectors and complex number. In calculus, differentiation and integration.