Advanced Higher

Mathematics · Advanced Higher

Advanced Higher Mathematics is a first-year university course: proof, complex numbers, matrices and deeper calculus. Two papers, no coursework, and very little scaffolding.

Where it leads

What it offers you

Mathematics is the entry requirement for a huge range of degrees — engineering, physics, economics, computing and more — and the reasoning it builds is valued in every technical career.

The exam, decoded

What Advanced Higher actually asks of you

01

Paper 1 — non-calculator

Proof, algebra and calculus done by hand, often with several steps to justify.

02

Paper 2 — calculator

Longer questions on further calculus, differential equations, matrices, complex numbers, vectors in three dimensions and sequences and series.

No coursework

This course is graded entirely on the question papers — there is no assignment or project to submit.

Exact timings and mark allocations are printed on the front cover of each paper below.

What's assessed

Topics that come up

Proof by induction and contradictionPartial fractions and algebraic manipulationComplex numbersMatrices and Gaussian eliminationVectors in three dimensionsFurther differentiation and integrationDifferential equationsSequences, series and summationEuclidean geometry and conics

The archive

Papers & marking schemes

2022–2026

SQA publishes the most recent five years of papers. Older papers and specimen papers live on their site — open Mathematics Advanced Higher on sqa.org.uk.

All Mathematics levels