Mathematics National 5

What is special about this course?

Mathematics is important in everyday life, allowing us to make sense of the world
around us and to manage our lives.
Using mathematics enables us to model real-life situations and make connections and
informed predictions. It equips us with the skills we need to interpret and analyse
information, simplify and solve problems, assess risk and make informed decisions.

The course aims to:
♦ motivate and challenge learners by enabling them to select and apply
mathematical techniques in a variety of mathematical and real-life situations
♦ develop confidence in the subject and a positive attitude towards further study in
♦ develop skills in manipulation of abstract terms in order to solve problems and to
♦ allow learners to interpret, communicate and manage information in mathematical
form; skills which are vital to scientific and technological research and
♦ develop the learner’s skills in using mathematical language and to explore
mathematical ideas
♦ develop skills relevant to learning, life and work in an engaging and enjoyable way

Entry requirements

Candidates would normally be expected to have achieved Core Maths 3, Standard Grade Maths at band 3 or 4, or National 4 Mathematics.

Applicants will be given a short entrance test comprising National 4 level questions.

The National 5 Mathematics course comprises 3 mandatory units plus an external examination.

Mathematics: Expressions and Formulae (1 credit)

The general aim of this unit is to develop skills linked to mathematical expressions and
formulae. These include the manipulation of abstract terms, the simplification of
expressions and the evaluation of formulae. The Outcomes cover aspects of number,
algebra, geometry and reasoning.

Mathematics: Relationships 1 credit)

The general aim of this unit is to develop skills linked to mathematical relationships.
These include solving and manipulating equations, working with graphs and carrying
out calculations on the lengths and angles of shapes. The Outcomes cover aspects of
algebra, geometry, trigonometry and reasoning.

Mathematics: Applications (1 credit)

The general aim of this unit is to develop skills linked to applications of mathematics.
These include using trigonometry, geometry, number processes and statistics within
real-life contexts. The Outcomes cover aspects of these skills and also skills in

It is important that National 5 Maths candidates devote regular time to revision and independent study outwith class.

How will I study my course?

  • Part Time
  • Evening
  • Online

This course can be delivered face to face in a classroom, networked to a number of centres by video conferencing, or through a combination of these methods of delivery.

How long will my course last?

1 Academic Years

Where can I study my course?

Start date

Typically every September.


For the latest information on fees please see our fees policy.

What can I do on completion of my course?

Successful candidates will be able to progress to a range of qualifications including Higher Mathematics.  National 5 Mathematics is also a prerequisite for entry to teacher training programmes.

Is there more information available online?

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Apply for Mathematics National 5

To enrol, or for further information on this course, please contact your local Argyll College Centre

We are delighted that you are thinking about studying at Argyll College UHI. Argyll College operates a fair and open admissions system committed to equality of opportunity and non-discrimination. We consider all applications on merit and on the basis of ability to achieve, without discrimination on grounds of age, disability, gender identity, marriage and civil partnership, pregnancy and maternity status, race, religion and/or belief, sex, sexual orientation or socio-economic background. We welcome applications from all prospective students and aim to provide appropriate and efficient services to students with disabilities.

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