A Level FURTHER MATHEMATICS
Pre Induction Task July 2017
In order to get you fully prepared for A-level Further Mathematics, we have set you the following task. We will be using your answers to these questions in the first 2 weeks of term. Make sure that you have the work with you to hand in for the first lesson, hand-written on paper, as well as having uploaded it onto the College Student Portal using the directions below.
Task – Review of Important Algebraic Techniques
Answer the questions below. If in doubt you can use MyMaths ( to look up and revise the techniques.
To use Mymaths you will need to enter the BSFC Mathematics user name (Bolton6) and password (circle).
Pay particular attention to the presentation of your work, making sure you show every algebraic step clearly. These algebraic skills are vital throughout the whole of A-level Further Mathematics.
Q / Topic1. / / Parallel Lines
2. / / Proof
3. / / Solving simultaneous equations
(linear and quadratic)
4. / / Solving equations
5. / / Combining algebraic fractions
6. / / Simplifying algebraic fractions
7. / / Re-arranging equations
8. / / Solving inequalities
9. /
/ Velocity-time graph
10. / / Direct Proportion
How to present your answers
Produce hand-written solutions to the above on lined A4 paper.
Scan or photograph your work to upload it, and make sure you bring your hand written work to lessons.
Useful websites to get you started
You must bring your work to your first Further Mathematics lesson (and it can be uploaded in advance of the first day of teaching, Monday 5th September). You can access the pre-induction tasks from the 'New Student Portal' ( and there is a link to the 'New Student Portal' from the College website. The pre-induction tasks are available to download from here and once you have already registered on the portal you can upload any completed tasks via the upload page. If you have any problems registering or logging onto the portal please contact the College on 01204 846215.
A Level Mathematics Kit ListOur Kit List is here not only to remind you what the A Level Further Mathematics course is about but also to let you know what trips or essential items you will need for the course.
Half of the first year course is in Pure Mathematics (Complex Numbers, Matrices, Geometry, Calculus, Vectors, Further Algebra) and the remainder of the course is divided equally between Mechanics (Momentum, Energy and Motion) & Discrete Mathematics (Algorithms and Networks).
There are no compulsory trips but you will have the opportunity to attend the University of Manchester Mathematics Open Day, take part in the UK Senior Mathematics Challenge and enjoy a talk from a visiting University Head of Admissions.
How we work – we use a variety of teaching and learning styles such as individual learning, paired work, use of interactive ILT resources (including the interactive whiteboard), card matching activities, past paper questions, discussion and debate and structured tasks. We set fortnightly homework which is marked by your teacher and feedback is given.
What we need from you – to bring basic stationary and mathematical equipment to lessons, be punctual and engaged. To commit to at least 4.5 hours of time per week outside of lesson to be spent on homework, reading, research and revision for this subject. You will also need a new calculator, one which has been specially designed for the new A-level specification. There are different ones available but at BSFC the Maths Department recommends Casio fx-991EX (Classwiz).
Skills we develop and test
- Understanding Mathematics and mathematical processes
- Use mathematics to make logical and reasoned decisions
- Generalise mathematically
- Construct mathematical proofs
- Read and comprehend mathematical arguments
- Use technology such as calculators and computers effectively
- Take increasing responsibility for learning