What's The Difference Between National 5 Maths and Applications of Maths?

Dan Finlay

Written by: Dan Finlay

Reviewed by: Roger B

Published

What's The Difference Between National 5 Maths and Applications of Maths?

Choosing your National 5 subjects in S4 is a big decision. And when it comes to maths, things can get confusing.

You might be wondering whether to take National 5 Mathematics or National 5 Applications of Mathematics. They sound similar, but they're actually very different courses. Pick the wrong one, and you could miss out on the Higher Maths route or find yourself struggling with content you don't need.

Here's the good news: this guide breaks down everything you need to know. I'll compare the courses side-by-side, explain what each one covers, and help you figure out which is right for your future plans.

I’ve done extensive research into Scottish qualifications. I know exactly what works and what doesn't. So let's get started.

Key Takeaways

  • National 5 Mathematics focuses on pure maths (algebra, geometry & trigonometry) and is required for Higher Maths

  • National 5 Applications of Mathematics focuses on practical, real-world maths (finance, statistics, numeracy) without the algebra

  • Applications of Mathematics is easier in some Mathematics (no complex algebra or trigonometry) but won't get you into Higher Maths

  • Most STEM university courses require National 5 Mathematics, but some teaching and nursing degrees accept Applications of Mathematics 

  • You cannot easily switch between the two courses mid-year due to different content

What Is National 5 Mathematics?

National 5 Mathematics (course code (opens in a new tab)C847 75 (opens in a new tab)) is the traditional maths qualification in Scotland.

It's roughly equivalent to a GCSE in England.

This course teaches you "pure" maths. That means algebra, geometry, trigonometry, and statistics.

The focus is on mathematical theory and problem-solving. You'll work with quadratic equations, surds, and trigonometric functions.

Who is it for?

National 5 Mathematics is aimed at students who:

  • Want to progress to Higher Mathematics (opens in a new tab)

  • Plan to study STEM subjects (science, technology, engineering, maths) at college or university

  • Are confident with algebra and abstract mathematical thinking

Where does it lead?

This qualification opens doors to:

  • Higher Mathematics (which requires National 5 Mathematics at grade A or B)

  • STEM degrees at university

  • Careers in engineering, computing, physics, mathematics, and accountancy

According to Abertay University (opens in a new tab), most universities require National 5 Mathematics at grade C minimum for entry onto STEM courses. Some competitive courses need grade B or higher.

What Is National 5 Applications of Mathematics?

National 5 Applications of Mathematics (course code (opens in a new tab)C844 75 (opens in a new tab)) is a different beast entirely.

This course was previously called "Lifeskills Mathematics". That gives you a clue about what it covers.

Applications of Mathematics focuses on practical numeracy, statistics, financial maths, and real-world problem-solving.

You won't study algebra or trigonometry. Instead, you'll learn about budgeting, currency conversion, probability, data analysis, and measurements.

Who is it for?

This course is designed for students who:

  • Want a National 5 maths qualification but find traditional maths too challenging

  • Don't need Higher Mathematics for their future plans

  • Prefer practical, applied maths over abstract theory

  • Are heading towards vocational or non-STEM careers

Where does it lead?

Applications of Mathematics is accepted for:

  • Primary teaching degrees (accepted by Aberdeen (opens in a new tab) and other universities)

  • Nursing and social work degrees at some universities

  • HNC courses in non-STEM subjects

  • Apprenticeships and vocational training

Important: You cannot progress to Higher Mathematics with Applications of Mathematics. (opens in a new tab)I recommend that you speak to your teachers when making the decision about National 5 courses.

Key Differences Between the Two Courses

Here's a side-by-side comparison to make things crystal clear:

Feature

National 5 Mathematics

National 5 Applications of Mathematics

Course Focus

Pure maths theory and problem-solving

Practical numeracy and real-world applications

Topics Covered

Algebra, quadratics, surds, indices, trigonometry, geometry, vectors, statistics

Finance, budgeting, currency conversion, statistics, data interpretation, measurement, geometry (basic), probability

Algebra Content

Heavy focus (30-45% of marks)

No algebra

Trigonometry

Sine rule, cosine rule, trigonometric graphs

No trigonometry

Assessment Structure

2 papers: Paper 1 (non-calculator, 40 marks, 1 hour) + Paper 2 (50 marks, 1 hour 30 mins)

2 papers: Paper 1 (non-calculator, 35 marks, 50 mins) + Paper 2 (55 marks, 1 hour 40 mins)

Total Marks

90 marks

90 marks

Calculator Use

Only in Paper 2

Only in Paper 2

Entry to Higher Mathematics

Yes (grade A or B recommended)

No

University STEM Courses

Required for most STEM degrees

Not accepted

Teaching/Nursing

Accepted

Accepted by many institutions

How Are They Assessed?

Both courses have similar assessment structures, but the content is very different.

National 5 Mathematics Assessment

Paper 1 (Non-Calculator):

  • 40 marks

  • 1 hour

  • Tests your understanding of fundamental mathematical processes

  • Covers all areas: numerical, algebraic, geometric, trigonometric, statistical skills

Paper 2:

  • 50 marks

  • 1 hour 30 minutes

  • Calculator allowed

  • More application-based questions

  • Covers the same skill areas as Paper 1

Total: 90 marks

Your final grade (A-D) is based on your combined performance across both papers.

National 5 Applications of Mathematics Assessment

Paper 1 (Non-Calculator):

  • 35 marks

  • 50 minutes

  • Tests basic numeracy and calculation skills

  • Context-based questions about real-life situations

Paper 2:

  • 55 marks

  • 1 hour 40 minutes

  • Calculator allowed

  • Longer case study questions

  • Tests your ability to analyse real-world problems and make decisions

Total: 90 marks

Like National 5 Mathematics, you get a grade from A-D based on your total marks.

Which Course Should I Take?

This is the million-pound question. Here's how to decide:

Choose National 5 Mathematics if you:

  • Want to study Higher Mathematics in S5 or S6

  • Plan to study STEM subjects at university (engineering, computing, physics, chemistry)

  • Are comfortable with algebra and abstract thinking

  • Got a good grade in your National 4 Mathematics (grade A or B)

  • Want to keep your options open for future study

Choose National 5 Applications of Mathematics if you:

  • Find traditional maths challenging, especially algebra

  • Don't need Higher Mathematics for your career plans

  • Prefer practical, real-world maths

  • Are interested in primary teaching, nursing, or social work

  • Want a National 5 maths qualification but struggle with abstract concepts

Important: In my experience, students often find Applications of Mathematics more achievable because it doesn't cover challenging topics like quadratics, trigonometry, and complex algebra.

Talk to Your Teacher

Still unsure? That's completely normal.

Speak to your maths teacher or guidance counsellor. They know your strengths and can give personalised advice.

Remember: there's no "better" course. It depends entirely on where you want to go next.

What Do Employers and Colleges Prefer?

This varies depending on your chosen career path.

For University STEM Courses

Most science, technology, engineering, and maths degrees require National 5 Mathematics at grade C or higher.

Abertay University (opens in a new tab) states that they require National 5 Mathematics at grade C minimum, with some courses needing grade B or above.

Applications of Mathematics is not accepted as a substitute for these courses.

For Teaching and Nursing

Many primary teaching and nursing programmes accept either qualification.

The University of Edinburgh confirms they accept "Mathematics or Applications of Mathematics at C” for their Nursing Studies BN course (opens in a new tab) and their Primary Education course (opens in a new tab).

Always check with your target university or college. Entry requirements vary between institutions.

For Apprenticeships and College Courses

Many vocational courses and apprenticeships accept Applications of Mathematics.

However, technical apprenticeships (engineering, construction, electronics) usually require National 5 Mathematics.

The (opens in a new tab)SQA states (opens in a new tab) that Applications of Mathematics develops "mathematical reasoning skills in areas relevant to learning, life and work" and is particularly suitable for vocational pathways.

Can You Switch Between National 5 Mathematics and Applications of Mathematics?

Switching mid-year is very difficult.

The courses have completely different content. National 5 Mathematics covers algebra and trigonometry that Applications doesn't include. Applications covers financial maths and case studies that National 5 Mathematics doesn't.

Can you change courses during S4?

In theory, yes. But it's not recommended.

You'd need to catch up on several months of different content. Most schools won't allow it unless there are exceptional circumstances.

Can you take one after the other?

This depends on the order:

From National 5 Mathematics to Applications: Possible, but unusual. You'd already have the harder qualification.

From Applications to National 5 Mathematics: If you took Applications in S4 but later needed National 5 Mathematics, you'd have to study it separately (possibly at college).

The best approach?

Choose carefully from the start. Speak to your teacher before making your S4 subject choices.

Frequently Asked Questions

Is National 5 Mathematics harder than Applications of Mathematics?

Yes, in most ways.

National 5 Mathematics contains more complex topics. The algebra, quadratics, and trigonometry are challenging.

Applications of Mathematics focuses on practical skills that many students find more straightforward. (opens in a new tab)As noted by several schools (opens in a new tab), it's often more achievable for students who struggle with abstract maths.

However, Applications isn't "easy". You still need strong numeracy skills and the ability to analyse data and solve problems.

Can I do Higher Mathematics if I take Applications instead of Mathematics?

No.

You must have National 5 Mathematics to progress to Higher Mathematics as stated in the course specification by SQA (opens in a new tab).

Most colleges ask for a minimum of a grade C at National 5 Mathematics. However, I have found that the most successful students have at least a grade B.

Applications of Mathematics doesn't teach the algebra and trigonometry needed for Higher Mathematics.

If you think you might want to do Higher Mathematics in the future, take National 5 Mathematics now.

Do universities accept Applications of Mathematics?

It depends on the course.

STEM courses: Usually no. Most science, technology, engineering, and maths degrees require National 5 Mathematics.

Teaching and nursing: Often yes. Many universities accept Applications of Mathematics for primary teaching and nursing degrees.

Always check with your chosen university before making your decision.

Final Thoughts

Both National 5 Mathematics and National 5 Applications of Mathematics are valuable qualifications.

The right choice depends on your strengths, interests, and future plans. Whichever course you decide to study, Save My Exams has your back.

National 5 Mathematics keeps more doors open, especially if you want to study STEM subjects or take Higher Mathematics. Use our revision notes to help you revise.

Applications of Mathematics is perfectly suited for students heading towards teaching, nursing, or vocational careers who want a practical maths qualification. Our revision notes will help you to achieve a grade A.

There's no shame in choosing Applications over Mathematics. Different students have different strengths. What matters is picking the course that sets you up for success. 

Still unsure? Talk to your maths teacher or guidance counsellor. They can look at your grades, listen to your goals, and help you make the best decision for your future.

Start using our National 5 revision resources today and join the thousands of students who are acing their exams.

Good luck with your National 5 studies!

References

Sign up for articles sent directly to your inbox

Receive news, articles and guides directly from our team of experts.

Select...

Share this article

Dan Finlay

Author: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

Roger B

Reviewer: Roger B

Expertise: Maths Content Creator

Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.

The examiner written revision resources that improve your grades 2x.

Join now