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A Level

Mathematics & Further Mathematics AS & A Level

Subject Area
Start Date
September 2022
Study Mode
2 years
Level 3

You will continue to study some topics familiar to you from GCSE, such as algebra and trigonometry, and you will also be introduced to new ones like calculus. Your study of maths will be divided up into two areas, Pure Maths and Applied Maths. There is no coursework, but a mathematical comprehension forms part of the assessment at A Level.

Mathematical processes consisting of mathematical argument and language, problem solving and mathematical modelling are embedded throughout the AS and A Level courses.

Entry requirements

A minimum of 4 subjects at grade 5 or above at GCSE plus English Language at grade 4 or above. You must also have a grade 6 in Maths.

What will I study?

AS Level Maths

There are two components of the AS course, containing approximately 70% Pure Maths and 30% Applied Maths:

Topics in Pure Mathematics include proof, algebra, graphs, an introduction to binomial expansions, trigonometry, logarithms, calculus and vectors.

Component 1: Pure Mathematics with Mechanics
Topics in Mechanics include kinematics in one dimension, working with forces and Newton’s laws.

Component 2: Pure Mathematics with Statistics
Topics in Statistics include working with data from a sample to make inferences about a population, simple probability calculations, using the binomial distribution as a model and statistical hypothesis testing.

A Level Maths

There are three components of the A Level course:

Component 1: Pure Mathematics with Mechanics
Topics in Mechanics include kinematics, motion under gravity, working with forces including friction, Newton’s laws and simple moments.

Component 2: Pure Mathematics with Statistics
Topics in Statistics include working with data from a sample to make inferences about a population, probability calculations, using binomial and normal distributions as models and statistical hypothesis testing.

Component 3: Pure Mathematics with a comprehension
Topics in Pure Mathematics are developed and students are given ample advice and practice in using their mathematical skills in unfamiliar contexts in the comprehension assessment.

AS & A Level Further Mathematics

There are plenty of opportunities to broaden and deepen your mathematical knowledge and skills with Further Mathematics. Studying Further Maths actively supports AS and A Level Maths study and is a popular choice among a range of students.

In the first year students are taught Further Maths separately to their AS Maths lessons. In the majority of cases students would not take Further Maths AS Level at the end of the first year, allowing them to concentrate on the AS Math exam.

Students who choose to continue their further maths study in the second year are then taught Maths and Further Maths in a single group. The Maths content is covered in the autumn term and you’ll study Further Maths after Christmas.

University Entrance Exams
There will be informal support available for students sitting university entrance exams such as STEP, AEA, TMUA or Oxford entrance papers.

Method of delivery

You will typically be in College four days per week, with lesson style varying according to subject. In-College delivery is supported by online resources, and students develop strong independent learning skills to equip them for their next steps.

How will I be assessed?

All AS and A Level Maths qualifications are assessed by examinations which take place each year in May and June. They vary in length according to each qualification. The two components at AS Level are 1hr 30mins each and the three components at A Level are 2hrs each.

Further Maths exams range in length from 1hr 15mins to 2hr 40mins.

Good course combinations

These courses all combine well with most other A Levels.

Your next steps

An A Level in Maths is helpful for many careers, especially in the areas of science, financial services, banking, accountancy and actuarial work. It is also a desirable qualification for many degrees and in some cases a necessary one, such as Physics. Past students have been inspired to go on to read Maths in its own right at top universities.

Iona Web

“The friendly environment at York College makes it a great place to learn. Tutors go out of their way to help you achieve your goals and encourage you to reach your full potential.”

Maths AS & A Level
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