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Mathematics and Further Mathematics

All of the teachers in the Maths Department are subject specialists. We consistently achieve high value-added at GCSE. We are the largest subject at A-Level, and Further Maths is fully timetabled and staffed.

Staff are highly supportive and our multiple weekly clinics for supporting students of all ages are well attended.


We are proud to offer many Maths related activities in and out of school. These include Bridge Club, the Alan Turing Cipher Challenge, The Maths Trail trip to Rye (Year 7), the Maths Inspiration Visit and Maths in Acton Trip. Students from all Key Stages participate in the UKMT maths challenge. In the 2017-18 Individual Challenges, 60% of Senior entrants and 53% of Intermediate Entrants at TWGSB achieved either Gold, Silver or Bronze Awards. In the Junior Challenge where the whole of year 8 took part, we are proud to report that 46% of the Year Group received a Gold, Silver or Bronze Certificate. In the Year 8&9 Junior Team Challenge 2018 we came in 6th place out of 27, including some competitors from overseas. Our Maths in Motion Competitors regularly achieve success with the highlight this year being The World Maths In motion Day at the Monaco Circuit, where TWGSB students took first and second place!

Maths Clinic offers help to pupils in Years 7-11. It is supervised by staff but gives sixth form mathematicians the opportunity to help younger students.

The Sixth Form Maths Club fulfils a number of roles. Firstly, it provides support for A level students and offers tuition for those wanting to sit additional exam papers, such as STEP and Advanced Extension. Secondly, there will be occasions when we look at how Maths developed and some uses of Maths in the “real world”, often encountering topics outside of the A-Level syllabus. Thirdly, the Club is used to help students prepare for the various individual and team competitions including those run by the UK Maths Trust.

Head of Department: Mrs R Gillan

Teachers: Mrs F Connell, Mrs J Girdlestone, Mrs A Hayyeh, Mr P Lund, Mr L Morris, and Mrs L Thomas. Mrs Girdlesone is i/c Statistics

A mathematician can have his head in an oven and his feet in ice, but on average he will always be fine.

Years 7, 8 and 9

Year 7 (example topics):
Rounding; negative numbers; fractions and decimal calculations; factors, primes and powers; working with formulae; generating sequences; real life graphs; interpreting scales; angles; translations; rotations; area and perimeter; 3D shapes; constructions; average and spread; stem and leaf diagrams; probability.

Year 8 (example topics):
Fraction calculations; ratio and proportion; percentage change; sequences; linear functions; using brackets; working with more complex equations; metric-imperial conversions; nets; enlargement; bearings; scatter diagrams; grouped data; combined events. 

Year 9 (example topics):
Standard form; prime factorisation; simplifying harder expressions; equation of straight line; inequalities; quadratic and cubic graphs; inverse proportion; Pythagoras; polygons; prisms; similarity; trigonometry; interquartile range.

National Curriculum

GCSE: Years 10-11

Year 10 (example topics):
Limits of accuracy; reverse percentages; constant of proportionality; rules of indices; using complex formulae; quadratic sequences; geometric sequences; polynomial and reciprocal functions; simultaneous equations; compound units; congruency; arcs and sectors; loci; trigonometry in exact form; surface area and volume; vectors; probability.

Year 11 (example topics):
Recurring decimals; bounds; growth and decay; proportion problems; fractional indices; surds; manipulating expressions and equations; functions; equation of a circle; solving linear inequalities in two variables; proving results; solving harder quadratics; simultaneous equations with quadratics; chords and tangents; area under non-linear graphs; circle theorems; sine and cosine rules; trigonometry in 3D; negative enlargements; proof with vectors; histograms; conditional probability.

Assessment / Examination:

Three 1½  hour of equal weighting, taken at the end of Year 11. 
Higher Tier (grades 9 to 4) or Foundation Tier (grades 5 to 1) depending on individual progress.

Exam Board: OCR 

Link to Specification:

A Level: Years 12 and 13

Qualifications needed: A grade 7 in Maths at GCSE is required. Students need to have covered grade 7/8 material and be proficient in algebra in order to access the A Level course. Further Maths requires GCSE Mathematics grade 8 or above.

Course Content:

  • The A-level content is 100% prescribed, containing both Pure Mathematics (Algebra, Calculus and Functions), and Applied maths drawn from Statistics (Data and Probability), and Mechanics (Forces and Motion) There will no longer be any options. There is no Decision maths included.
  • A-level Further Maths content contains 50% Compulsary Core Pure and 50% of optional content, selected by the department.

Linear assessment means that all exams take place at the end of Year 13, all calculator papers. Overarching themes of mathematical argument, language and proof, problem solving and mathematical modelling underpin all parts of the qualifications. The use of technology in the classroom is expected and some exam questions will be based on a large data set that will students will have access to throughout the course which will be used as part of classwork and homework.

A-Level Maths content will include:

  • Pure Maths: proof; algebra and functions; coordinate geometry in the (x,y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration; vectors; numerical methods;
  • Statistics: statistical sampling; data presentation and interpretation; probability; statistical distributions; statistical hypothesis testing;
  • Mechanics: quantities and units in mechanics; kinematics; forces and Newton’s laws; moments.

Further Maths content in Year 12 will include: Decision Maths (algorithms and graph theory), Further Statistics (probability and distributions), and Further Pure Maths, (complex numbers, matrices and proof.)

Exam Board: Edexcel (9MA0 Specification)

Careers Education

Careers Education

We have a very successful track record of preparing students for studying Maths and related areas such as engineering, finance, computing and the sciences via some of the top university courses or straight entry to employment or apprenticeships. Year 10-13 students can attend lectures and presentations on many applications of Maths in the real-world.

Our co-curricular provision enables students to participate in a range of activities to enhance their experiences and employment or university prospects. These include supporting younger pupils, taking part in competitions such as code breaking and team challenges, Maths Inspiration Trips, and studying for additional examinations such as STEP.