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Mathematics & Further Mathematics


The Maths department ethos is to stretch students academically and to develop Mathematical curiosity and stamina through the passion and enthusiasm of the teaching that students receive. The Key Stage 3 curriculum is designed to fully prepare students for all elements of Mathematics in the new GCSE 9-1 syllabus. Pupils are taught in their forms for Years 7 and 8, and setting takes place in Years 9 – 11. In Year 11, our top students are offered the chance to study for the AQA Level 2 Further Mathematics qualification in addition to the GCSE course. Mathematics is the most popular A-level choice for our students. In addition, Further Mathematics continues to be a very popular choice amongst our top academic students – currently we have 42 students in Year 12 and 29 students in Year 13 taking the double Mathematics award. We have a very large number of students who go on to study Maths and Maths related courses at University. The Maths department, which has 12 enthusiastic and dedicated members of staff, is very proud of its outstanding exam results, being one of the top performing local Grammar school in the new GCSE Mathematics examinations. This year we have over 150 students in Year 12 alone studying Mathematics A-level due to the consistently successful GCSE and A level results, as well as 134 Mathematics students in Year 13; which highlights how popular Mathematics is as a subject at the RGS. In order for students to show off their Mathematical Problem-Solving skills we regularly have over 650 entries to the UKMT Maths Challenges; at Junior, Intermediate and Senior level, with many students who progress on to the Kangaroo and Olympiad rounds. The Maths department also has 8 dedicated Maths Subject Ambassadors; these are Year 13 students who apply for the role, and help promote Maths within the RGS, and to enthuse all students of all abilities.

Years 7 to 9 

During Key Stage 3 pupils are encouraged to work on the core principles of Mathematics, honing their skills with numeracy and shape. They are encouraged to explore new areas and topics such as algebra, and have a deeper look into previously known mathematical sections. At the end of their learning journey in Key Stage 3 Maths, students will be confident with challenging themselves with both word and ‘multi-step’ based mathematical problems along with exposure to GSCE style questions. This creative and formative approach will help all students reach their full mathematical potential at the RGS. Students are given the opportunity to express their mathematical enthusiasm and in both the Maths Battles that are held on a weekly basis after school, and the UKMT Junior Maths Challenge. There is also a lunchtime Maths Challenge Club for the Junior years, as well as weekly ‘one on one’ support sessions from Sixth formers available for those students who are not fully confident as they would like in this subject.


GCSE students are assessed in three 1 and a half hour long papers on the following topics:

  • Number
  • Algebra
  • Ratio, proportion and rates of change
  • Geometry and measures
  • Probability
  • Statistics

In addition to the Mathematics GCSE, some students will also study for the Level 2 Further Maths Qualification. All students sit the Higher Tier papers and all external exams are taken at the end of Year 11.

Students are also given the opportunity to take part in the annual UKMT Intermediate Mathematics Challenge event, and top Year 11 Maths students will also be offered the opportunity to sit the Senior Maths Challenge.

A Level

Mathematics is a very popular A-Level subject at RGS that further develops our students algebra and calculus skills, supports other subjects and further educational courses beyond school. The A-Level course provides students with the ability to think logically, develop their mathematical reasoning, strengthen their understanding of mathematical techniques and recognise the relevance of them in the real world through modelling along with enhancing their problem solving skills.

  • The Mathematics A-Level course consists of Pure, Mechanics and Statistics components that are all examined at the end of Year 13. Students will sit three 2 hour exam papers (2 Pure and 1 Applied) which are out of 100 marks each; calculators are allowed for all three exam papers. There is no coursework involved.

Further Mathematics

Many students who study Mathematics also choose to study Further Mathematics. The course provides a solid foundation for further study in Mathematics and other disciplines that make extensive use of mathematical skills. As part of this course at RGS we teach Further Pure and Further Mechanics.

The Further Mathematics A-level course consists of Core Pure, Further Pure and Further Mechanics components that are all examined at the end of Year 13. Students will sit four 90 minute exam papers (2 Core Pure, 1 Further Pure and 1 Further Mechanics) which are out of 75 marks each; calculators are allowed for all four exam papers. There is no coursework involved.