What does A Level Mathematics cover

Author: IGCSE Tuition | Posted: 19 December 2025  

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Mathematics has always been a popular subject across different majors and international curricula because it is a foundational requirement for many fields of study, whether in business or science. For example, if you plan to apply for business-related majors such as Economics, Accounting, or Finance, you will need A-Level Mathematics results, as these disciplines rely heavily on mathematical knowledge and skills. Similarly, if you aim to study science-based majors such as Engineering, Physics, or Chemistry, A-Level Mathematics is also essential, since these subjects involve complex mathematical calculations and logical reasoning.

Advantages of A-Level Mathematics

First, Mathematics is applicable to a wide range of disciplines. Whether in science and engineering, business, or social sciences, a solid foundation in mathematics and strong mathematical skills are essential. Mathematics is a universal subject that helps students adapt to different fields of study and academic demands.

Second, the relatively high rate of top grades is also appealing. The A* rates for both A-Level Mathematics and Further Mathematics exceed 19%, which means that with dedicated effort, students have a strong chance of achieving excellent results.

Finally, Mathematics has a large number of candidates, which reflects its popularity and importance. According to data from the CAIE examination board in 2022, more than 80,000 students in the UK chose A-Level Mathematics, making it the most widely taken subject among all A-Level courses.

In summary, Mathematics is a subject well worth choosing, as it can open up more opportunities for your future.

A-Level Mathematics Course Content

Functions: Linear, quadratic, cubic, reciprocal, exponential, logarithmic, and trigonometric functions.

Graphs: Graphs of all the above functions, including transformations such as translation, stretching, reflection, and value changes.

Calculus (Operations): Differentiation of functions, differentiation of composite functions, product rule, quotient rule, indefinite integrals, definite integrals, substitution, and integration by parts.

Applications of Calculus: Using derivatives to find equations of tangents and normals, solving optimization problems, and using definite integrals to find areas.

Sequences and Series: Arithmetic sequences, geometric sequences, and their applications.

Vectors: Two-dimensional and three-dimensional vectors and their applications.

Additional Topics: Coordinate geometry, parametric equations, binomial expansion, applications of radians, and related topics.

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