Do You Need Maths Advanced for HSC Physics?

If you want to study HSC Physics but you're doing Mathematics Standard 2 rather than Mathematics Advanced, can you still take the subject?

**Yes. You do not need Mathematics Advanced to study HSC Physics in NSW.** NESA does not list Mathematics Advanced as a prerequisite for Physics. However, you will need to be comfortable with several mathematical skills, and some university degrees have their own mathematics prerequisites.

These are three different questions: whether you're allowed to enrol in Physics, whether you have the mathematical skills to handle it, and whether your HSC subjects will satisfy the entry requirements for your intended university degree. Mixing them up can lead to some fairly poor subject-selection decisions.

This guide uses the NSW rules and university admissions information available on **8 November 2026**, including the new Physics syllabus being introduced for Year 11 students in 2027.

## Do you need Maths Advanced to enrol in HSC Physics?

No. There is no statewide NESA rule requiring students to complete Mathematics Advanced before enrolling in Physics.

NESA's Physics 11-12 course enrolment information lists:

- Physics Year 11: no prerequisites.
- Physics Year 12: successful completion of the Year 11 Physics course.

Mathematics Advanced is not listed as a prerequisite for either course.

You can check this directly in the [official NESA Physics syllabus and course enrolment information](https://curriculum.nsw.edu.au/learning-areas/science/physics-11-12-2025/overview/course).

That settles the statewide course requirement. It does not necessarily settle your school's enrolment policy.

### Can your school still require Maths Advanced?

Yes, a school can have its own subject-selection processes and recommendations. It may decide that students need a particular level of mathematical preparation before it will approve their Physics enrolment.

For example, a school might recommend or require Mathematics Advanced because its Physics teachers expect students to have experience rearranging equations, working with algebraic expressions, and interpreting graphs.

This is a school-level decision, not a universal NESA prerequisite.

If your school says you cannot select Physics without Mathematics Advanced, ask whether this is:
- A formal school enrolment requirement.
- A recommendation based on the mathematical demands of the course.
- A requirement that can be reconsidered if you demonstrate sufficient mathematical ability.

Those are different situations, and it's worth finding out which one applies before changing your subject selections.

01What maths do you actually use in HSC Physics?

Physics uses mathematics to describe things that happen in the real world. You observe an object moving, measure its speed, and use mathematical relationships to predict where it will be next.

Think about a basketball being thrown towards a hoop. You can describe its motion in words, but mathematics lets you calculate its height, horizontal distance, and velocity at different points.

Suppose you throw a ball horizontally from a table. What happens to its horizontal speed as it falls?

Ignoring air resistance, its horizontal speed stays constant. Gravity accelerates the ball vertically, but there is no horizontal force to change its horizontal motion.

This is a useful starting point for understanding HSC Physics: you often separate a physical situation into simpler mathematical parts, solve each part, and then combine the results.

The mathematical skills you need

The following skills are much more important for HSC Physics than knowing advanced calculus.

You will also need to use a scientific calculator confidently and keep track of units throughout a calculation.

Do you need calculus?

No. You do not need to arrive at HSC Physics knowing the differentiation and integration techniques taught in Mathematics Advanced.

You will encounter gradients and areas under graphs, but these can be understood through ordinary graph interpretation and geometry. You do not need formal calculus to perform the standard HSC Physics calculations.

Mathematics Advanced provides a broader mathematical foundation, particularly in functions, trigonometry, and calculus. That can be useful for further study, but it is not the same as a requirement to study HSC Physics.

What about trigonometry and vectors?

This is one area where students studying Mathematics Standard 2 may need additional preparation.

A vector is a quantity with both magnitude and direction. Velocity, displacement, acceleration, and force are examples of vectors.

Imagine pushing a shopping trolley with a force at an angle. Only part of your applied force acts horizontally, while another part acts vertically.

Physics uses trigonometry to separate these components.

For a vector of magnitude \(A\), at an angle \(\theta\) measured from the horizontal:

\[ A_x=A\cos\theta \]

\[ A_y=A\sin\theta \]

Here, \(A_x\) and \(A_y\) are the horizontal and vertical components.

You need to understand sine, cosine, and how to interpret an angle in a diagram. You also need to understand why the components must be combined correctly to recover the original vector.

These ideas appear in mechanics, projectile motion, and forces.

Mathematics Advanced gives you useful preparation, but you can learn and practise the required trigonometry without completing the entire course.

How do you know if your maths is good enough?

If you are considering Physics while studying Mathematics Standard 2, try these four checks.

• Can you rearrange an equation to make a different variable the subject?
• Can you confidently use sine, cosine, and Pythagoras’ theorem?
• Can you interpret a straight-line graph and calculate its gradient?
• Can you work with scientific notation, square roots, and unit conversions?

You don’t need to be perfect at every skill before starting Year 11. However, if several of these are unfamiliar, spend some time strengthening them before the course gets underway.

One particularly useful habit is to practise rearranging equations rather than memorising isolated solutions. Physics often gives you a relationship between several quantities, and the unknown quantity changes from question to question.

02Which university courses require Maths Advanced?

This is where the answer becomes more complicated.

You might not need Mathematics Advanced for HSC Physics, but you could need it for a university degree you want to study afterwards.

Universities set their own admission requirements. These are not NESA requirements for taking Physics at school.

There are also two important terms you need to understand.

Prerequisite: A subject you must complete to a specified standard to be eligible for admission.

Assumed knowledge: A subject or level of knowledge the university recommends you have before starting your degree. It is not normally an admission requirement, but you may struggle with the course if you lack that preparation.

The University of Sydney explains this distinction in its guide to prerequisites and assumed knowledge.

University examples: prerequisites versus assumed knowledge

The following are examples of published university requirements checked on 8 November 2026. They are course-specific, not statewide rules.

A few details are worth understanding.

ANU Engineering: The 2027 Bachelor of Engineering (Honours) entry requirements list HSC Mathematics Advanced or equivalent as a prerequisite for NSW applicants. Studying HSC Physics does not automatically satisfy this mathematics requirement.

University of Sydney Engineering: The university’s mathematics prerequisite information specifies Band 4 in Mathematics Advanced or Band E3 in Mathematics Extension 1 or 2 for its listed courses. Mathematics Standard does not meet this requirement.

UTS Engineering: The combined Engineering and Science degree lists Mathematics Extension 1, Physics, and English Standard as assumed knowledge. This is preparation advice, not the same as a formal mathematics prerequisite.

University of Sydney Physics: Interestingly, the university’s mathematics learning support information lists Mathematics Extension 1 as assumed knowledge for its Physics major. This does not mean Extension 1 is a prerequisite for receiving an offer to the Bachelor of Science. It means the recommended mathematical preparation for studying Physics at university is more demanding.

The distinction is important. A university can recommend a higher level of mathematics for a Physics major without requiring that subject for admission to the degree.

What if you want to study Physics at university?

If you’re interested in a university Physics degree, Mathematics Advanced is worth considering, and Mathematics Extension 1 may be particularly useful.

University Physics involves more mathematical modelling than HSC Physics. Depending on your degree and subjects, you will encounter calculus, more advanced vectors, differential equations, and mathematical descriptions of physical systems.

You may be able to enter a degree without having completed all the recommended mathematics at school, but that doesn’t mean you can avoid learning it.

Some universities provide bridging courses, preparation programs, or alternative pathways. Check whether the option you are considering actually satisfies a formal prerequisite. A course that helps you catch up with assumed knowledge does not automatically satisfy an admission requirement.

Important: check the rules for your actual university entry year

If you are starting Year 11 in 2027, you will generally complete your HSC in 2028 and apply for university entry in 2029.

The university examples above include published 2027 entry requirements and currently available course information. They are not a guarantee of what those universities will require for 2029 entry.

Before finalising your HSC subject choices, check the requirements for your intended university intake. If those requirements have not yet been published, contact the university’s admissions team and ask about its expected mathematics prerequisites and alternative entry pathways.

This is especially important if you are considering Engineering, Advanced Computing, or a university Physics major.

03Does Physics scale well enough to justify taking it?

You might have heard that Physics scales well, and that studying it can help your ATAR.

There is some truth behind this, but it is easy to misunderstand.

UAC explains that Physics has traditionally scaled well because students who take the course tend to perform strongly across their HSC subjects. However, this does not mean Physics gives every student a fixed ATAR bonus.

Scaling is calculated using the performance of students across their courses. Your own HSC result still matters.

According to UAC’s explanation of ATAR scaling, the aim is to compare different combinations of HSC subjects fairly, rather than reward students simply for choosing particular courses.

UAC also advises students to select subjects based on their interests, demonstrated abilities, and future plans rather than predicted scaling.

So, don’t choose Physics solely because you’ve heard it scales well. Choose it because you are interested in the subject, prepared to develop the required skills, and potentially interested in the pathways it supports.

04Before you finalise your subject choices

There are two final details worth checking.

Which Physics syllabus applies to you?

The new Physics 11-12 Syllabus (2025) begins implementation in 2027.

The transition works as follows:

The first HSC examination for the new Physics syllabus is in 2028.

For students starting Year 11 in 2027, the new course is organised around:

• Fundamentals of mechanics
• Waves
• Electricity and magnetism
• Advanced mechanics
• Electromagnetism
• Nature of light
• Matter, energy and the cosmos

The new syllabus also integrates Working scientifically skills throughout the course.

You can explore the official NESA Physics 11-12 syllabus.

One thing to watch: resources referring to Physics Modules 1-8 belong to the 2017 syllabus. They should not automatically be treated as a guide to the new 2025 course.

Where should you check the requirements?

Use these official resources when making your decision:

• NESA Physics course requirements: Check the actual course prerequisites.
• NESA ACE Rules: Check the statewide eligibility requirements for HSC courses.
• UAC course selection information: Explore university courses, prerequisites, assumed knowledge, and recommended studies.
• UAC ATAR information: Understand how subject scaling and ATAR calculations work.

NESA’s general HSC course eligibility rule requires satisfactory completion of the requisite preceding Preliminary course. It does not introduce a Mathematics Advanced prerequisite for Physics.

If a school or university gives you different advice, ask which specific rule or course requirement they are referring to.

05Questions and solutions

Question 1

A student plans to study Mathematics Standard 2 and Physics in Year 11 in 2027.

Their friend tells them that Mathematics Advanced is compulsory for all HSC Physics students.

Can the student select Physics under the NESA course requirements?

Solution 1

Yes. The student can select Physics without studying Mathematics Advanced under the NESA requirements.

The 2025 Physics syllabus lists no prerequisites for Year 11 Physics.

The prerequisite for Year 12 Physics is successful completion of the Year 11 Physics course.

The student’s Mathematics course does not change either of these requirements.

Their school may have its own subject-selection policy, so the student should confirm the school’s position before finalising their choices.

Question 2

A student wants to study Physics, but their school advises them that Mathematics Advanced is required.

The student checks the NESA Physics syllabus and finds that the Year 11 course has no prerequisites.

Explain why both statements might appear to be correct, and identify what the student should clarify with the school.

Solution 2

NESA does not require Mathematics Advanced, but the school may have a separate subject-selection policy or recommendation.

The important distinction is between statewide course eligibility and local school decisions.

NESA establishes the formal course requirements. For the 2027 Year 11 Physics course, the prerequisite is listed as nil.

A school may nevertheless use its own subject-selection criteria, recommend a particular mathematical background, or have practical restrictions on course availability.

The student should ask whether Mathematics Advanced is:

• A formal school enrolment condition.
• A recommendation based on the mathematical demands of Physics.
• A requirement that can be reconsidered if the student demonstrates sufficient preparation.

They should also ask whether additional support is available for students studying Mathematics Standard 2.

The mistake would be to assume that a school recommendation is automatically a NESA requirement.

Question 3

A basketball is launched from ground level at an initial speed of 20.0 m/s, at an angle of 30° above the horizontal.

It lands at the same height from which it was launched. Ignore air resistance and use \(g=9.8\text{ m/s}^2\).

Calculate:

1. The initial horizontal velocity.
2. The initial vertical velocity.
3. The total time of flight.
4. The horizontal range.

Solution 3

The initial horizontal velocity is 17.3 m/s, the initial vertical velocity is 10.0 m/s, the flight time is 2.04 seconds, and the horizontal range is 35.3 metres.

This problem combines trigonometry with constant-acceleration equations.

Step 1: Resolve the initial velocity into horizontal and vertical components.

The initial velocity is 20.0 m/s, at an angle of 30°.

The horizontal component is:

\[ u_x=u\cos\theta \]

\[ u_x=20.0\cos30^\circ \]

\[ \boxed{u_x=17.3\text{ m/s}} \]

The vertical component is:

\[ u_y=u\sin\theta \]

\[ u_y=20.0\sin30^\circ \]

\[ \boxed{u_y=10.0\text{ m/s}} \]

Step 2: Calculate the time taken to reach maximum height.

At maximum height, the vertical velocity is zero.

Using \(v=u+at\):

\[ 0=10.0-9.8t \]

Rearrange:

\[ t=\frac{10.0}{9.8} \]

\[ t=1.02\text{ s} \]

Step 3: Calculate the total flight time.

Because the ball lands at the same height from which it was launched, its upward and downward flight times are equal.

Therefore:

\[ t_{\text{total}}=2(1.02) \]

\[ \boxed{t_{\text{total}}=2.04\text{ s}} \]

Step 4: Calculate the horizontal range.

Horizontal velocity remains constant because air resistance is ignored.

Use:

\[ x=u_xt \]

Substitute:

\[ x=17.3\times2.04 \]

\[ \boxed{x=35.3\text{ m}} \]

The basketball travels approximately 35.3 metres horizontally.

The mathematical techniques here are trigonometry, multiplication, division, and rearranging a linear equation. You do not need calculus to solve this problem.

Question 4

A student is considering two university pathways.

• ANU’s 2027 Bachelor of Engineering (Honours) lists HSC Mathematics Advanced or equivalent as a prerequisite for NSW applicants.
• The University of Sydney lists Mathematics Extension 1 as assumed knowledge for its Physics major.

The student has completed Mathematics Standard 2 and HSC Physics.

They argue that both universities must reject their application because they have not studied Mathematics Extension 1.

Is this conclusion correct? Explain the difference between the two requirements.

Solution 4

No. The student is confusing a formal admission prerequisite with assumed knowledge.

For ANU Engineering, Mathematics Advanced or an accepted equivalent is a formal prerequisite. The student cannot assume that Mathematics Standard 2 satisfies this requirement. They would need to check the university’s accepted equivalents or alternative pathways.

For the University of Sydney Physics major, Mathematics Extension 1 is listed as assumed knowledge.

This means the university recommends that students have reached this level of mathematical preparation. It is not, by itself, a condition for receiving an offer to the Bachelor of Science.

The student may therefore be able to enter the relevant degree without Extension 1, although they could find the mathematical content more challenging.

The key distinction is:

• A prerequisite determines whether you meet a formal admission condition.
• Assumed knowledge indicates the preparation expected for successful study.

Neither requirement is replaced simply by having studied HSC Physics.

Question 5

A student is choosing HSC subjects for Year 11 in 2027.

They plan to study Mathematics Standard 2 and Physics. They are interested in either Engineering or Physics at university, with the intention of starting university in 2029.

Their reasoning is:

1. NESA allows students to study Physics without Mathematics Advanced.
2. HSC Physics teaches trigonometry, vectors, and algebra, so it should count as equivalent to Mathematics Advanced.
3. Physics traditionally scales well, so taking it should compensate for not studying Mathematics Advanced.
4. Current university prerequisites are only recommendations and could be ignored because the student expects to achieve a high ATAR.

Evaluate this reasoning. Should the student confidently rule out Mathematics Advanced?

Solution 5

No. The student should not rule out Mathematics Advanced until they have checked the mathematics requirements of their intended university courses.

There are several different issues in this decision, and none can substitute automatically for another.

First: NESA course eligibility does not determine university eligibility.

The student is correct that Mathematics Advanced is not required for HSC Physics.

However, NESA controls the requirements for studying the HSC course. Universities independently determine the admission requirements for their degrees.

Being eligible to study Physics at school does not guarantee eligibility for an Engineering or Physics degree at university.

Second: studying Physics does not make Mathematics Standard 2 equivalent to Mathematics Advanced.

Physics applies mathematical techniques to physical situations.

For example, students use trigonometry to resolve vectors and algebra to solve equations of motion. These are important skills, but studying them in a Physics context does not mean the student has completed the full Mathematics Advanced course.

A university must decide whether a qualification or alternative pathway satisfies its prerequisite. The student cannot assume equivalence.

Third: scaling does not replace admission prerequisites.

Even if Physics scales strongly in a particular HSC year, this affects the calculation of the ATAR, not the mathematics subjects required for university admission.

A high selection rank cannot automatically compensate for a missing formal prerequisite.

Fourth: the timing of university admission matters.

The student will sit the HSC in 2028 and apply for university entry in 2029.

The published ANU Engineering prerequisite for 2027 entry is useful evidence of the university’s current requirements, but it does not establish the requirements for 2029.

The student must check the actual 2029 admission rules when they become available. If Mathematics Advanced remains a prerequisite, they will need to meet that requirement or use an alternative pathway formally accepted by the university.

The sensible decision is to keep the two choices separate.

The student can study Physics with Mathematics Standard 2 under NESA’s rules. Whether they should also study Mathematics Advanced depends on their mathematical ability, workload, interests, and intended university pathways.

If Engineering or university Physics is a serious possibility, checking those pathways before dropping Mathematics Advanced is much safer than assuming HSC Physics will cover the difference.

The main decision is straightforward: Mathematics Advanced is not a requirement for HSC Physics, but it may be important for what you want to study afterwards.

Once you’ve settled your subject choices, the next useful step is becoming confident with the algebra behind physics equations. A particularly important skill is knowing when you can legitimately cancel terms, and when doing so changes the meaning of an equation.

See When Can You Cancel Mass in HSC Physics Equations? for a closer look at that skill.