Higher

Mathematics · Higher

Higher Mathematics is where calculus starts. Two papers, no coursework, and a big jump in algebra — you need to recognise which technique a question is asking for, often without being told.

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 Higher actually asks of you

01

Paper 1 — non-calculator

Short-answer questions on algebra, functions, calculus and geometry that must be done by hand. An answer booklet is provided.

02

Paper 2 — calculator

Longer, context-heavy questions across calculus, trigonometry, sequences, exponentials and logs, vectors and statistics.

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

Differentiation and its applicationsIntegration and areasPolynomials, factors and the remainder theoremFunctions, graphs and transformationsExponentials and logarithmsTrigonometry — identities, addition formulae, wave functionVectorsSequences and recurrence relationsStraight line, circles and statistics

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 Higher on sqa.org.uk.

All Mathematics levels