Further Mathematics

Applications Open - 10th November 2025

Applications Close - 31st January 2026

Entry Requirements - For entry into year 12 to begin A Level and/or vocational courses, students must meet the minimum requirements in English and Mathematics (grade 4), however most courses require significantly higher grades in certain other GCSE subjects to access them.

How to Apply -

• Internal students – apply via Applicaa (school have emailed all students a link)
• External Students – apply using Applicaa from the Trinity School website under Sixth Form - Apply here

Students are required to study a minimum of 3 and a maximum of 4 subjects.

Studying Further Mathematics offers students the opportunity to take every aspect of what they learnt on the Mathematics course to the next level. It offers the opportunity to prove more of what they have learnt, and use it in a wider range of applications. Students will also be able to study an additional area of mathematics, called Decision Mathematics, which is largely focused on logic and algorithms. This compliments areas of Computing Science, as does the new topic Matrices.

Skills Acquired

• Skills and knowledge development
• Application of skills and knowledge to practical situations
• Methods of working logically

Students Suited To The Course
Students who have all the attributes listed for the Mathematics A Level, who are also well skilled at working independently. It is vital students are willing and able to work in together, discussing and debating ideas with each other.

What Other Subjects It Combines Well With
This is the same as those listed for Mathematics

Co-curricular
Trips and visits, Maths Challenge.

The course comprises of Core Pure Mathematics, which builds on and extends knowledge from A Level Mathematics, whilst introducing further topics such as complex numbers. A further two units are then studied from the following: Further Pure Mathematics, Decision Mathematics, Further Mechanics or Further Statistics. This decision will be based in teacher expertise but options for students to study their preferred strand could be discussed.

• Proof
• Complex Numbers
• Matracies
• Further Algebra and Functions
• Further calculus
• Further Vectors
• Polar Coordinates
• Hyperbolic Functions
• Differential Equations

A-Level assessment consists of four 1.5 hour written exams, taken at the end of the two-year course. Each exam will be worth one quarter of the A Level. Two of the papers will draw on material from Core Pure Mathematics, one from Further Pure Mathematics, and one from Decision Mathematics. The questions will assess three key areas; mathematical argument, language & proof, problem solving and modelling.

GCSE Grade 8 in Mathematics. Students must be taking this in addition to A Level Mathematics.

Again, this is much the same as Mathematics. Having the additional A Level will put students in a better position when applying for Mathematics courses, and ones which are focused on these skills, such as Engineering and Computer Science. Universities will often lower entry requirements for students with a Further Mathematics A Level, as students with this qualification are sought after.