
BHS Sixth Form Options 2025
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.

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.