SCQF Level 5 · Qualifications Scotland
National 5 Mathematics
Taken by most Scottish pupils in S4, Maths leads to Higher Maths in S5. Here is how the course works, what the assessment involves, and what to expect in the exam.
2 hours 30 minutes across 2 papers
Exam duration
None
Coursework
90
Total marks
S4
Typical year
How Assessment Works
National 5 Maths is assessed across 2 components, totalling 90 marks.
Question Paper 1 (Non-Calculator)
ExamNo calculator permitted. Tests algebraic manipulation, mental arithmetic, and reasoning. Set and marked by Qualifications Scotland.
Question Paper 2 (Calculator)
ExamScientific calculator permitted. Covers the full course including statistics, trigonometry, and applied problems.
Grade Boundaries
| Grade | Percentage | What it means |
|---|---|---|
| A | 70% or above | Excellent |
| B | 60–69% | Very good |
| C (Pass) | 50–59% | Pass — required for entry to Higher |
| D | 40–49% | Award (does not count as a pass for Higher progression) |
| No Award | Below 40% | Not awarded |
Grade thresholds are the published Qualifications Scotland standard. Actual cut scores are set by post-marking standardisation and are not published.
What You Study
National 5 Maths is organised into 5 course areas.
Numerical Skills
- Surds and indices
- Scientific notation
- Percentages and fractions in context
Algebraic Skills
- Expanding brackets and factorising
- Completing the square
- Straight line equations (gradient, y-intercept)
- Quadratic equations and the quadratic formula
- Simultaneous equations
- Functions and graphs
Geometric Skills
- Pythagoras's theorem
- Similar shapes
- Circle geometry (arc length, sector area)
- Vectors (2D and 3D)
Trigonometric Skills
- Sine and cosine rules
- Exact trigonometric values
- Solving trig equations in a given interval
Statistical Skills
- Standard deviation
- Scatter graphs and lines of best fit
After National 5 Maths
Most pupils who achieve a grade C or above in National 5 Maths progress to Higher Maths in S5. Higher Mathematics or Higher Applications of Mathematics.
Next step
Higher Maths guide →
Course structure, assessment and grade boundaries for Higher Maths.
Editor’s note
Maths is the only N5 subject with no coursework — it is entirely exam-based. Past papers are the single most effective revision tool.
Related guides
Frequently asked questions about National 5 Maths
How is National 5 Maths assessed?
National 5 Maths is assessed through the following components: Question Paper 1 (Non-Calculator) (40 marks, 1 hour); Question Paper 2 (Calculator) (50 marks, 1 hour 30 minutes). The total is 90 marks, all from exam.
How long is the National 5 Maths exam?
The National 5 Maths exam is 2 hours 30 minutes across 2 papers.
What grade do you need to pass National 5 Maths?
You need a grade C or above (50% or more) to pass National 5 Maths. Grade C is the minimum required for progression to Higher Maths in S5. Grade A requires 70%+, grade B requires 60–69%, and grade C requires 50–59%.
Does National 5 Maths have coursework?
No — National 5 Maths is assessed entirely by exam. There is no coursework or assignment component.
What do you study in National 5 Maths?
National 5 Maths covers the following course areas: Numerical Skills, Algebraic Skills, Geometric Skills, Trigonometric Skills, Statistical Skills. Together these give a broad foundation at SCQF Level 5, leading to Higher Maths in S5.
What comes after National 5 Maths?
After National 5 Maths, most pupils progress to Higher Mathematics or Higher Applications of Mathematics in S5. See our detailed guide to Higher Maths for course structure and assessment information.
Course data sourced from Qualifications Scotland course specifications. Assessment details correct for the 3.0 (May 2023) specification.
Full course documentation available at qualifications.scot.