WJEC A-level Further Maths: five units, papers and UMS grades

WJEC A-level Further Maths: the specification

WJEC GCE AS and A level Further Mathematics (Wales) was first taught in 2017 (specification version 3, January 2019), with AS awards from 2018 and A level awards from 2019. It is regulated by Qualifications Wales and is not available to centres in England. All three AS units and A2 Unit 4 are compulsory, and at A2 you choose between Unit 5 and Unit 6.

WJEC A-level Further Maths units

Each paper has short and longer questions, some structured and some not. Check the dates for each unit on WJEC's final summer 2027 timetable, which lists the Wales Further Mathematics units; our WJEC A-level Further Maths formula booklet guide covers the booklet you are given.

What each unit covers

• Further Pure A and B: proof, complex numbers, matrices, further algebra and functions, further vectors, further trigonometry, further calculus, polar coordinates, hyperbolic functions and differential equations.
• Further Statistics A and B: random variables and the Poisson process, then samples and populations, statistical distributions, hypothesis testing and estimation.
• Further Mechanics A and B: momentum and impulse, Hooke's law, work, energy and power, circular motion, calculus with vectors, then rectilinear motion, moments and centre of mass, equilibrium of rigid bodies and differential equations.

Worked examples in WJEC style

Pure: complex numbers

Let z = 1 + i√3. Its modulus is 2 and its argument is π/3, so by de Moivre's theorem:

Statistics: the Poisson distribution

Calls arrive at a rate of 3 per hour as a Poisson process. The probability of exactly 2 calls in an hour is:

WJEC A-level Further Maths grades

An A* needs an A overall (480 uniform marks) and at least 90% of the A2 uniform marks, which is 324. See A-level grades explained.

Use the daily paper as a short timed mock for WJEC A-level Further Maths

Uni-Sine publishes a new free daily paper on each track: A-level Further Maths. It is a short timed mock: 8 questions worth 25 to 35 marks, marked instantly, with worked answers. It is not a full exam paper and it is not written by the exam board.

• What it covers well: complex numbers, matrices, polar coordinates, hyperbolic functions, roots of polynomials, series, induction, volumes of revolution and second order differential equations, which feed the pure units.
• What it does not cover: the Poisson process and statistics, and mechanics such as impulse, rigid bodies and centre of mass. None of the track's topics covers them.

One daily paper a day for the pure content, and WJEC past papers for statistics or mechanics, whichever you take at A2.

Exam answers

Uni-Sine does not publish official answers, past paper answers or board mark schemes. Answers and a worked mark scheme come with today's paper once you have marked it, line by line.

Common mistakes in WJEC A-level Further Maths

• Choosing Unit 5 or 6 late. You sit only one, so prepare the right one.
• Forgetting the argument range when working with complex numbers.
• Using a Poisson model without checking that events are random and independent.
• Leaving proof steps implicit. State each deduction.

Read next

UK · A-levelWJEC A-level Further Maths grade boundaries 2026WJEC A-level Further Maths 2026 boundaries: raw marks for all six units, the 600 UMS scale, the Unit 5 or 6 option and the A* rule of 324.