Course structure 

Surds and Indices – Rationalising 

Scientific Notation – Large, Small 

Significant Figures – Large, Small 

Algebraic Expressions – Breaking Brackets, Factorising, Completing the Square 

Algebraic Fractions– 4 Operations 

Straight Line – Gradient 

Circle – Arcs and Sectors 

Volume – Prism, Cylinder, Pyramid, Cone, Sphere 

Straight Line – Equations and Functional Notation 

Simultaneous Equations – Graphically and Algebraically 

Change of Subject – Formulae 

Quadratics – Sketch, Solve, Nature of Roots 

Pythagoras – 2D and 3D, Converse 

Circle – Tangents, Angles in a Semi Circle 

Similarity – Length, Area, Volume 

Trigonometry – Graphs, Equations and Non- Right Angled 

Vectors – Magnitude, Add, Subtract 

Numeracy – Fractions, Percentages 

Statistics – Mean, Median, Modem Range, Quartiles, SIQR, Box Plots, Standard Deviation, Compare, Scatter graphs, Equation of Line of Best Fit 

Course Award

To achieve the National 5 Mathematics Course, learners must pass an external exam consisting of

• Question paper 1 (non-calculator) 40 marks

• Question paper 2 50 marks

National 5 Courses are graded A, B, C, D