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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 .
For examinations up to and including the 2018 papers, the specification for STEP 1 and STEP 2 was based on Mathematics A Level content while the syllabus for STEP 3 was based on Further Mathematics A Level. The questions on STEP 2 and 3 were about the same difficulty. Both STEP 2 and STEP 3 are harder than STEP 1. [6]
The 'S' level Higher Mathematics papers, for example, were not marked unless at least 75 (Distinction) was secured in the 'A' level pure mathematics and/or applied mathematics papers. The marks were normalised, but usually completion of 2 or 3 questions of 10 on the paper offered was sufficient to secure a distinction.
The A-level (Advanced Level) is a subject-based qualification conferred as part of the General Certificate of Education, as well as a school leaving qualification offered by the educational bodies in the United Kingdom and the educational authorities of British Crown dependencies to students completing secondary or pre-university education. [1]
Currently, it is only available for Mathematics and offered by the exam board Edexcel. They were introduced in 2002, in response to the UK Government's Excellence in Cities report, as a successor to the S-level examination, and aimed at the top 10% of students in A level tests. They are assessed entirely by external examinations.
The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics. ... "The number of papers and books ... in practice ...
A qualification in Further Mathematics involves studying both pure and applied modules. Whilst the pure modules (formerly known as Pure 4–6 or Core 4–6, now known as Further Pure 1–3, where 4 exists for the AQA board) build on knowledge from the core mathematics modules, the applied modules may start from first principles.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
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