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  2. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    In Singapore, Additional Mathematics is an elective subject offered to pupils in secondary school—specifically those who have an aptitude in Mathematics and are in the Normal (Academic) stream [1] or Express stream. The syllabus covered is more in-depth as compared to Elementary Mathematics, with additional topics including Algebra binomial ...

  3. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows two columns of three apples and two apples ...

  4. Further Mathematics - Wikipedia

    en.wikipedia.org/wiki/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 many institutions. In the United Kingdom, Further Mathematics describes a course studied in addition ...

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...

  6. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    In additive number theory, Fermat 's theorem on sums of two squares states that an odd prime p can be expressed as: with x and y integers, if and only if. The prime numbers for which this is true are called Pythagorean primes. For example, the primes 5, 13, 17, 29, 37 and 41 are all congruent to 1 modulo 4, and they can be expressed as sums of ...

  7. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Download as PDF; Printable version; ... [note 4] it is the problem ... [43] and every prime congruent to 1 modulo 4 can be written in the form + ...

  8. International General Certificate of Secondary Education

    en.wikipedia.org/wiki/International_General...

    The International General Certificate of Secondary Education (IGCSE) is an English language based secondary qualification similar to the GCSE and is recognised in the United Kingdom as being equivalent to the GCSE for the purposes of recognising prior attainment. [1] It was developed by Cambridge Assessment International Education.

  9. Advanced level mathematics - Wikipedia

    en.wikipedia.org/wiki/Advanced_level_mathematics

    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 sixth form or college. Advanced Level Further Mathematics is often taken ...