Howard Chan
Howard Chan
Wrote this guide · international school, Tokyo
IB 45 / 45 (predicted) Incoming Cambridge HSPS Tokyo · UK·US·HK

I spent my final years at an international school in Tokyo fighting for a perfect score. I hit it, getting 45/45 in the May 2023 IB session. Now I have offers from Cambridge HSPS, HKU, and HKUST. I know how stressful it feels when you are staring at a subject choice form.

Many students panic over whether Further Maths is mandatory or if Physics alone suffices for top universities. Your choices dictate your entry options. This guide helps you pick the right combination to keep your doors open for the best global engineering programs.

The Non-Negotiables: Maths and Further Maths

For almost any serious engineering discipline in the UK, and increasingly valued for US and HK applications, A-Level Mathematics is a baseline requirement. This isn't just about showing you can do sums; it's about demonstrating the foundational analytical and problem-solving skills essential for university-level engineering. Without it, your application will likely be screened out immediately by UK universities.

Further Mathematics, however, is where you truly distinguish yourself. While often listed as 'highly recommended' or 'preferred,' for top-tier institutions like Imperial, Cambridge, or even strong programs at UCL, it functions as a de-facto requirement. It exposes you to more complex mathematical concepts (e.g., matrices, complex numbers, differential equations) that are integral to first-year engineering courses. If your school offers it, and you have the aptitude, take it. It signals both capability and commitment.

My friends applying for Computer Science and Electrical Engineering at Imperial, for instance, all took Further Maths. Those who didn't often found themselves at a disadvantage, sometimes needing to take an additional bridging course in their first year.

Physics: The Second Pillar of Engineering

After Maths, Physics is the most universally important subject for engineering. It provides the fundamental understanding of mechanics, electricity, magnetism, and materials that underpins almost all engineering disciplines, from civil to aerospace. For UK universities, Physics A-Level is typically a mandatory subject for most engineering courses, alongside Maths.

For US and HK universities, while not always an explicit 'requirement' in the same way as the UK, a strong performance in Physics (either A-Level or AP Physics C) is highly valued. It demonstrates a practical understanding of the physical world, which is crucial for engineering problem-solving. Think of it as the practical application of the abstract mathematics you learn.

Consider the specific content. A-Level Physics covers topics like forces, motion, energy, waves, and electricity – all directly relevant to early engineering modules. If you're aiming for a mechanical or aerospace engineering degree, your Physics A-Level will be directly building the groundwork.

The Third Subject: Chemistry or a Practical Science?

This is where your specific engineering interest comes into play. If you're considering Chemical Engineering, Materials Science, or Biomedical Engineering, then A-Level Chemistry becomes your third essential subject. Universities like Cambridge (for Chemical Engineering) or Imperial (for Materials) will often list Chemistry as a core requirement.

For other engineering disciplines (e.g., Mechanical, Civil, Electrical, Computer), the third subject is more flexible. While Chemistry is still a solid choice that demonstrates a broad scientific foundation, other options can be considered. Some students opt for Computer Science A-Level, especially if they are leaning towards software engineering or electrical engineering with a strong computing component.

Alternatively, if your school offers a relevant practical subject like Design & Technology (Product Design or Engineering), this can also be a strong differentiator, showcasing hands-on skills and an understanding of the design process. However, always check specific university requirements, as not all institutions view these 'applied' subjects equally.

Computer Science A-Level: A Growing Advantage

In an increasingly digital world, Computer Science A-Level is gaining significant traction, especially for students interested in software engineering, electrical engineering, or even fields like robotics and AI within mechanical engineering. It provides an introduction to programming, algorithms, data structures, and computational thinking – skills that are highly sought after by universities and employers.

For Computer Science degrees, it's often a preferred or required subject. For other engineering disciplines, it can serve as an excellent third subject, demonstrating a breadth of technical skills beyond pure physics and maths. My friends applying to HKUST's Computer Engineering program found that having Computer Science A-Level, alongside Maths and Physics, strengthened their applications significantly.

However, don't take it just because it sounds good. If you genuinely enjoy programming and problem-solving through code, it's a fantastic choice. If not, you might struggle, and a strong grade in Chemistry or another subject might be more beneficial.

Avoiding Common Pitfalls: The 'Easy' Subject Trap

It's tempting to pick an 'easier' third or fourth subject to boost your overall grades. However, for highly competitive engineering courses, universities are looking for academic rigor and direct relevance. Subjects like Business Studies, Psychology, or General Studies, while valuable in other contexts, typically do not add significant weight to an engineering application.

Universities want to see that you can handle the demanding academic content of an engineering degree. A strong set of STEM subjects (e.g., Maths, Further Maths, Physics, Chemistry) demonstrates this far more effectively than a mix that includes less academically rigorous options, even if your grades in the latter are higher.

Focus on subjects that develop your analytical skills, problem-solving abilities, and scientific understanding. Admissions tutors are adept at seeing through subject choices made purely for grade inflation.

UK vs. US vs. Hong Kong: Subtle Differences

**UK Universities:** Generally the most prescriptive. Maths and Physics are almost always required. Further Maths is highly recommended for top universities. Chemistry is often required for Chemical/Biomedical Engineering. They typically look for 3 (sometimes 4) strong A-Levels.

**US Universities:** More holistic. While strong STEM subjects are crucial (Maths, Physics, Chemistry, Computer Science), they also consider extracurriculars, essays, and broader academic profile. AP scores (especially AP Physics C, AP Calculus BC) are highly valued. There's more flexibility in the 'third' subject, but a strong STEM foundation remains paramount.

**Hong Kong Universities (e.g., HKU, HKUST):** Often a hybrid approach. They value strong A-Levels in Maths, Further Maths, and Physics, similar to the UK. However, like the US, they also consider a broader profile. For specific engineering programs, they might have explicit subject requirements, so always check the program pages carefully. For example, HKUST's engineering programs often highlight the importance of a strong science background, with Maths and Physics being key.

Beyond Subjects: The Holistic Application

While subject choice is foundational, it's just one piece of the puzzle. Your personal statement (UK), essays (US), and extracurricular activities are equally important. Show your passion for engineering through projects, internships, or relevant clubs. Did you build something? Participate in a robotics competition? Learn a coding language independently?

For example, a friend applying to Imperial's Aeronautical Engineering program spent his summers building drones and participating in an engineering club at school. This real-world application of his A-Level Physics and Maths was a significant boost to his application. Your subjects get you through the door; your passion and initiative make you stand out.

Ultimately, choose subjects you are good at and genuinely interested in, within the framework of university requirements. Excelling in subjects you enjoy will lead to better grades and a more compelling application than struggling through subjects you dislike, even if they seem 'optimal'.

Frequently asked questions

While not strictly required for *all* engineering degrees, it is highly recommended and often a de-facto requirement for competitive programs at top UK universities (e.g., Imperial, Cambridge, UCL) and is increasingly valued by US and HK institutions. If you're aiming high, take it.
Yes, many international students take four A-Levels. This can demonstrate broader academic capability. However, ensure you can maintain high grades across all four. Quality over quantity is key. A strong three (Maths, Further Maths, Physics) is better than four with mediocre grades.
Not typically a mandatory requirement for Mechanical Engineering, but it's a strong third subject that demonstrates a broad scientific foundation. If you're not taking Further Maths or Computer Science, Chemistry is an excellent choice. Check specific university program pages for their exact requirements.
This is a common issue for international students. If your school genuinely doesn't offer it, universities understand this. You should mention this in your personal statement or through your school's reference. Consider independent study (e.g., with an online tutor) or demonstrating advanced mathematical ability through other means, like Olympiads or specific project work. Some universities might offer a bridging course.
An Extended Project Qualification (EPQ) can be very beneficial, especially if your project relates to engineering. It demonstrates independent research, critical thinking, and project management skills – all highly valued in engineering. It can also be a great talking point in your personal statement or interviews.
The takeaway

Choosing A-Level subjects for engineering requires strategic thought, especially for international students. For top-tier programs, Maths and Physics are non-negotiable. Further Maths is highly recommended for UK universities and increasingly valued elsewhere. Your third subject should align with your specific engineering interest (Chemistry for Chemical Engineering, Computer Science for software-heavy roles, or even a robust practical subject). Always prioritize academic rigor over perceived 'easy' subjects, and complement your strong subject choices with compelling extracurriculars and a genuine passion for engineering.