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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. [4]
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
In June, Paper 3 of the Mathematics GCSE (Higher Tier, 1MA1/03) appeared to contain an exam question which was published in an AQA (another British exam board) Further Mathematics textbook. The exam question had the same diagram, values and answer as the question in the textbook. Pearson Edexcel said that they were investigating how this might ...
The highest grade achievable is an A. An FSMQ Unit at Advanced level is roughly equivalent to a single AS module with candidates receiving 10 UCAS points for an A grade. Intermediate level is equivalent to a GCSE in Mathematics. Coursework is often a key part of the FSMQ, but is sometimes omitted depending on the examining board.
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.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
The paper lasts 3½ hours, and consists of six questions (from 2005), each worth 10 marks. [3] The exam in the 2020-2021 cycle was adjusted to consist of two sections, first section with 4 questions each worth 5 marks (only answers required), and second section with 3 question each worth 10 marks (full solutions required).