Back to Higher Mathematics

Higher Mathematics

Topic practice

Practise Higher Mathematics by section: functions, coordinate geometry, polynomials, calculus, trigonometry, exponentials, logarithms, vectors, recurrence relations and exam-style problem solving.

Function notation and evaluation

Use f(x), substitute values, interpret outputs and connect functions to graphs.

Key skill: Substitute accurately and state outputs clearly.

Composite and inverse functions

Build f(g(x)), reverse simple functions and handle domain restrictions for inverses.

Key skill: Work in the correct order and check the inverse.

Domain, range and transformations

State sensible domains and ranges, then sketch translations, reflections and stretches.

Key skill: Link notation to graph movement.