Welcome to the Statistics and Further Maths GCSE options page. Here you will find a video outlining the course, answers to common questions and careers information.
As always, please do get in contact if any questions you have are not answered here by emailing tom.dean@kingsacademies.uk or jo.davis@kingsacademies.uk
Reviewing the processes of collecting data and looking at the legalities and ethics of data collection.
Considering the different mathematical techniques we can deploy to quickly gain an understanding of the data set.
Considering the best visuals, including those which are computer generated, to display the data and share with different audiences
Using different measures to compare and contrast data sets.
Evaluating the validity and reliability of the data and thus the statistical findings.
Product rule for counting
Manipulation of Surds
Functions (including composite and inverse)
Binomial Expansion
Complex factorising
Algebraic fractions
Manipulating complex formulae
Factor theorem
Solving Algebraic expressions
Proof
Limits of sequences
Equation of a circle
Tangent lines
Differentiation
Second Derivatives
Maxima and Minima of curves
Multiplication of matrices
Transformations in the coordinate plane
Combining transformations using matrix manipulation
Geometric Proof
Sine and Cosine Rule
Trigonometric Graphs
3D Pythagoras’ Theorem
Solve trigonometric equations (including quadratics)
Level 2 Further Maths and GCSE Statistics provides an excellent stepping stone to studying A-Level Maths, it will also support a number of other qualifications such as Chemistry, Physics and Psychology. Level 2 Further Maths and GCSE Statistics also provides an additional mathematical qualification that will enhance career prospects if students decide to move into employment following A levels without going on to further education.
We aim to ensure that you have one teacher for the entirety of the qualification. This is likely to Mr Dean as he has taught these qualifications before and is an examiner.
We follow the AQA specification and the full specifications can be found here:
Level 2 Further Maths Specification
These courses will cover a large number of topics, details of these can be seen below. Some of these topics you may recognise as they have elements in the standard GCSE Maths course, however some elements are completely new topics.
GCSE Statistics
Data collection and setting hypotheses
Completing mathematical analysis of data collected.
Generating data visualisations and the process to make these visualisations.
Calculate statistical measures to compare data.
Make inferences on the results and evaluate the validity and reliability of statistical findings.
Level 2 Further Maths
Number
Product rule for counting
Manipulation of Surds
Algebra
Functions (including composite and inverse)
Binomial Expansion
Complex factorising
Algebraic fractions
Manipulating complex formulae
Factor theorem
Solving Algebraic expressions
Proof
Limits of sequences
Coordinate Geometry (2 dimensions only)
Equation of a circle
Tangent lines
Calculus
Differentiation
Second Derivatives
Maxima and Minima of curves
Matrix Transformations
Multiplication of matrices
Transformations in the coordinate plane
Combining transformations using matrix manipulation
Geometry
Geometric Proof
Sine and Cosine Rule
Trigonometric Graphs
3D Pythagoras’ Theorem
Solve trigonometric equations (including quadratics)
GCSE Statistics
2 Papers
Written exam
1 hour 45 minutes
80 marks - 50% of grade
Questions - multiple choice, short answer and a statistical enquiry question
Level 2 Further Mathematics
Paper 1: Non Calculator
Paper 2: Calculator
Written exam
1 hour 45 minutes
80 marks - 50% of grade
Questions - A mix of question styles, from short, single-mark questions to multi-step problems. The mathematical demand increases as a student progresses through the paper.
In order to be successful in these courses you need to have dedication, curiosity, confidence, enthusiasm and a love for maths.
Your teacher will do everything they can to facilitate your learning however, the responsibility to act on any advice given is ultimately down to you.
We recommend that students get the Casio FX-991EX Advanced Engineering/Scientific Calculator to support their learning as it offers more functions that a standard scientific calculator. This calculator can also be used in their standard GCSE Maths.
All qualifications in the United Kingdom are defined by a 'level'. These start from Entry Level and then go from Level 1 through to Level 8. A GCSE at Grade 4+ is a Level 2 Qualification. A GCSE and Level 2 Certificate are both the same 'level' and the Level 2 Certificates were designed as an alternative to GCSEs. The purpose of this was to provide a qualification of the same level and size as GCSE but there is no requirement for controlled assessment and the structure is linear and assessed through a terminal examination. The curriculum and assessment arrangements of Level 2 Certificates were based on international GCSEs and IGCSEs.