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Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school (or GCSE exam takers in the United Kingdom). It 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—specifically those who have an aptitude in Mathematics and are in the Normal (Academic) stream or Express stream. The syllabus covered is more in-depth as compared to Elementary Mathematics, with additional topics including
Algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...
binomial expansion In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial into a sum involving terms of the form , where the ...
, proofs in
plane geometry Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the '' Elements''. Euclid's approach consists in assuming a small set of intuitively appealing axioms ...
, differential calculus and
integral calculus In mathematics, an integral assigns numbers to Function (mathematics), functions in a way that describes Displacement (geometry), displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding ...
. 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 be offered H1 Mathematics instead.


Examination Format

The syllabus was updated starting with the 2021 batch of candidates. There are two written papers, each comprising half of the weightage towards the subject. Each paper is 2 hours 15 minutes long and worth 90 marks. Paper 1 has 12 to 14 questions, while Paper 2 has 9 to 11 questions. Generally, Paper 2 would have a graph plotting question based on linear law.


GCSE Additional Mathematics in Northern Ireland

In
Northern Ireland Northern Ireland ( ga, Tuaisceart Éireann ; sco, label= Ulster-Scots, Norlin Airlann) is a part of the United Kingdom, situated in the north-east of the island of Ireland, that is variously described as a country, province or region. Nort ...
, 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—a new qualification whose level exceeds both those offered by GCSE Mathematics, and the analogous qualifications offered in England.


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, with Edexcel including the calculation of solids formed through integration, and AQA not including integration. AQA's syllabus mainly offers further algebra, with the
factor theorem In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial f(x) has a factor (x - \alpha) if and only if f(\alpha)=0 ...
and the more complex algebra such as algebraic fractions. It also offers differentiation up to—and including—the calculation of normals to a curve. AQA's syllabus also includes a wide selection 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, Pythagorean theorem, trigonometry and calculus, which were on the previous specification, this course also includes: * 'Enumeration' content, which expands the topic of the binomial distribution to include 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 * 'Sequences' content, which uses subscript notation to support the iterative work on numerical methods.


Additional Mathematics in Malaysia

In
Malaysia Malaysia ( ; ) is a country in Southeast Asia. The federation, federal constitutional monarchy consists of States and federal territories of Malaysia, thirteen states and three federal territories, separated by the South China Sea into two r ...
, Additional Mathematics is offered as an elective to upper secondary students within the
public education system In public relations and communication science, publics are groups of individual people, and the public (a.k.a. the general public) is the totality of such groupings. This is a different concept to the sociological concept of the ''Öffentlichkei ...
. This subject is included in the
Sijil Pelajaran Malaysia The Sijil Pelajaran Malaysia (SPM), or the Malaysian Certificate of Education, is a national examination taken by all fifth-form secondary school students in Malaysia. It is the equivalent of the General Certificate of Secondary Education (GC ...
examination. Science stream students are required to apply for Additional Mathematics as one of the subjects in the
Sijil Pelajaran Malaysia The Sijil Pelajaran Malaysia (SPM), or the Malaysian Certificate of Education, is a national examination taken by all fifth-form secondary school students in Malaysia. It is the equivalent of the General Certificate of Secondary Education (GC ...
examination, while Additional Mathematics is an optional subject for students who are from arts or commerce streams. Additional Mathematics in Malaysia—also commonly known as Add Maths—can be organized into two learning packages: the Core Package, which includes geometry, algebra, calculus, trigonometry and statistics, and the Elective Package, which includes science and technology application and social science application. It covers various topics including: Format for Additional Mathematics Exam based on the Malaysia Certificate of Education is as follows: * Paper 1 (Duration: 2 Hours): Questions are categorised into Sections A and B and are tested based on the student's knowledge to grasp the concepts and formulae learned during their 2 years of learning. Section A consists of 12 questions in which all must all be answered, whereas Section B consists of 3 questions and students are given the choice to answer 2 of the three questions only. Each question may contain from zero to three subsets of questions with marks ranging from 2 to 8 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 7 questions which must all be answered. Section B contains 4 questions where students are given the choice to answer 3 out of 4 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 3 to 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 Mauritius ( ; french: Maurice, link=no ; mfe, label= Mauritian Creole, Moris ), officially the Republic of Mauritius, is an island nation in the Indian Ocean about off the southeast coast of the African continent, east of Madagascar. It ...
, Additional Mathematics, more commonly referred to as Add Maths, is offered in secondary school as an optional subject in the Arts Streams, and a compulsory subject in the Science, Technical and Economics Stream. This subject is included in the
University of Cambridge International Examinations Cambridge Assessment International Education (informally known as Cambridge International or simply Cambridge and formerly known as CIE, Cambridge International Examinations) is a provider of international qualifications, offering examinations ...
, with covered topics including
function Function or functionality may refer to: Computing * Function key, a type of key on computer keyboards * Function model, a structured representation of processes in a system * Function object or functor or functionoid, a concept of object-oriente ...
s,
quadratic equation In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown value, and , , and represent known numbers, where . (If and then the equation is linear, not q ...
s, differentiation and integration (
calculus Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
).


Additional Mathematics in Hong Kong

In
Hong Kong Hong Kong ( (US) or (UK); , ), officially the Hong Kong Special Administrative Region of the People's Republic of China (abbr. Hong Kong SAR or HKSAR), is a city and special administrative region of China on the eastern Pearl River Delta i ...
, the syllabus of
HKCEE The Hong Kong Certificate of Education Examination (HKCEE, 香港中學會考) was a standardised examination between 1974 and 2011 after most local students' five-year secondary education, conducted by the Hong Kong Examinations and Assessment ...
additional mathematics covered three main topics, algebra, calculus and analytic geometry. In
algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...
, the topics covered include
mathematical induction Mathematical induction is a method for proving that a statement ''P''(''n'') is true for every natural number ''n'', that is, that the infinitely many cases ''P''(0), ''P''(1), ''P''(2), ''P''(3), ...  all hold. Informal metaphors help ...
,
binomial theorem In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial into a sum involving terms of the form , where the ...
,
quadratic equations In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown value, and , , and represent known numbers, where . (If and then the equation is linear, not quadr ...
,
trigonometry Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies ...
,
inequalities Inequality may refer to: Economics * Attention inequality, unequal distribution of attention across users, groups of people, issues in etc. in attention economy * Economic inequality, difference in economic well-being between population groups * ...
, 2D- vectors and
complex number In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the fo ...
, whereas in
calculus Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
, the topics covered include limit, differentiation and integration. In the
HKDSE The Hong Kong Diploma of Secondary Education Examination (HKDSE) is an examination organised by the Hong Kong Examinations and Assessment Authority (HKEAA). The HKDSE examination is Hong Kong's university entrance examination, administere ...
, additional mathematics was replaced by Mathematics Extend Modules, while some topics, such as matrix and determinant, many of which are covered in the syllabus of
HKALE The Hong Kong Advanced Level Examination (HKALE, 香港高級程度會考), or more commonly known as the A-level, conducted by the Hong Kong Examinations and Assessment Authority (HKEAA), was taken by senior students at the end of their matric ...
pure mathematics and applied mathematics, are also included.


See also

*
Advanced level mathematics Advanced Level (A-Level) Mathematics is a qualification of further education taken in the United Kingdom (and occasionally other countries as well). In the UK, A-Level exams are traditionally taken by 17-18 year-olds after a two-year course at a s ...
*
Further mathematics Further Mathematics is the title given to a number of advanced secondary mathematics courses. The term "Higher and Further Mathematics", and the term "Advanced Level Mathematics", may also refer to any of several advanced mathematics courses at man ...


References

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External links

*
ault Ault may refer to: People *Chris Ault, head coach for the Nevada Wolf Pack football team *Dick Ault, American athlete *John Ault, writer, academic, politician *Doug Ault, Major League Baseball player *E.B. "Harry" Ault, American labor union newspa ...
(Online resources on higher mathematics) Educational qualifications in the United Kingdom Education in Malaysia Education in Mauritius Mathematics education in the United Kingdom