Mathematics are the stem of all other scientific subjects. Numerical and computational fluency is increasingly important in the digital era. The study of this subject is also a great opportunity for students to get a first approach of logic and to develop rigorous reasoning skills. 

Students learn mainly about four areas of mathematics: numbers, geometry, algebra and probability & statistics. They will develop a core knowledge of these fields and start building basic tools to understand the world they live in. 

This GCSE syllabus will reinforce and extend the topics approached in KS3. It covers: 

• Further fractions and powers study
• Further work on geometrical measures such as length, area and volume, including trigonometric ratios
• Extended study of linear equations, inequalities and graphs
• An approach of formulae and more complex graphs
• A variety of ways to represent data and to use probabilities and statistics
• An introduction to vectors.

The Edexcel GCSE is graded using the 9 – 1 system, where 9 is the highest grade and 1 the lowest. Grades 9 – 4 are considered ‘pass’ grades. At Foundation level, the highest grade that it is possible for a student to achieve is a 5. 

This GCSE syllabus covers all the topics listed above under Foundation, in addition, it also covers in-depth: 

• Quadratic, cubic and exponential functions
• Trigonometry in all kind of triangles and extended to all types of angles 
• The circle theorems
• Interpretation of equations and graphs and the way they transform.

The KS5 mathematics syllabus covers a range of pure mathematics applied mathematics topics, allowing students to get a feel for the mathematics involved in different fields of engineering. 

The pure mathematics syllabus allows students to achieve mastery of the GCSE most advanced algebra topics and take them to an extended study of calculus. Some of these mathematics are applied to the study of motion and forces and to advanced probabilities and statistical enquiries.