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FURTHER MATHS

EXAM BOARD: WJEC

What is it good for:

Further Mathematics qualifications are highly regarded and are warmly welcomed by universities. Students who take Further Mathematics are really demonstrating a strong commitment to their studies, as well as learning mathematics that is very useful for any mathematically rich degree. Some prestigious university courses require you to have a Further Mathematics qualification and others may adjust their grade requirements more favourably to students with Further Mathematics. 

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OPPORUNITIES:

Each year, our students also take part in the UKMT Senior Maths Challenge and the MEI/GCHQ Ritangle competition, in addition to any other challenges and competitions that arise. ​

A Level Year 2: Paper 1: Pure Core 1

25%

A Level Year 2: Paper 3: Option paper

25%

A Level Year 2: Paper 2: Pure Core 2

25%

A Level Year 2: Paper 4: Option paper

25%

Pure Core (compulsory):

Year 1: Proof & mathematical induction, complex numbers, Argand diagrams, matrices, further vectors, further algebra.

Year 2: All of Year 1 content, plus Euler’s Formula, de Moivre’s Theorem, intersection of planes, partial fractions, series, hyperbolic functions, further calculus, Polar coordinates, differential equations, simple harmonic motion.

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Plus TWO of the following three modules-

Mechanics

Year 1: Dimensional analysis, work, energy & power, impulse & momentum, motion in a circle.

Year 2: All of Year 1 content, plus Hooke’s Law, centre of mass, further dynamics & kinematics.

Additional Pure Mathematics

Year 1: Sequences and series, number theory, group theory, further vectors, surfaces & partial differentiation, recurrence relations.

Year 2: All of Year 1 content, plus Fermat’s little theorem, reduction formulae, Lagrange’s theorem, abstract groups, tangent planes, further calculus.

Statistics

Year 1: Discrete random variables, discrete probability distributions, bivariate data, chi-squared tests, arrangements and selections.

Year 2: All of Year 1 content, plus continuous random variables, the normal distribution, confidence intervals, hypothesis testing, and non-parametric tests.

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